CheopsATLAS ¦ Glaciation — Universums Historia

CHEOPS ATLAS ¦ GLACIATION — UNIVERSUMS HISTORIA — Nov2019 | a production 2020I1 | LastUpdated: 2024-03-25 · Universums Historia ¦ HumanRight — a knowledge domain

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NatCH ¦ CheopsATLAS-Begin ¦ CheopsATLAS-Pyramids ¦ CheopsATLAS-TNED ¦ CheopsAT ¦ Appendix ADDITION 10Jan2024: Resolution 217 ¦ CALTEP ¦ Course19th ¦ MENU ¦ PetriePlate9issues

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THOUSANDS OF YEARS BACK FROM HERE some established sources claim, in some parts, a no-easy-

explainable glaciation history — only over the northern Earth part. THAT promotes a further GeoATLANTIS

investigation. We will try to illuminate those specific glaciation aspects in this CheopsATLAS appendage.

— Calling ATLANTIS .. ello .. ello .. 222 .. 333 .. ¦ ATLANTIS ¦ GTursprunget2019 ¦ AtlantisAPPENDIX ¦

— Roger .. Roger .. Mayday .. Mayday .. A GEOATLANTIS might EXPLAIN some GLACIATION VARIATIONS — GeoATLANTIS NORTHERN HEMISPHERE GLACIATION VARIATIONS

By natural reasons — the rJCIRCLE complex — the glaciation aspects mentioned here have no representation in established quarters: the subject deals with »unknown territory».

With an appropriate geophysical land history, a POSSIBLE Geo Atlantis alternative seems plausible. But our most prominent critical question still is:

— Is such a geophysical history at all possible? Expert’s Answer not yet found.

This is: A continuation from Sw.orig. CR2017 — with some broader examination of The GeoAtlantis alternative (14Dec2019).

• Background .

• CHEOPS PYRAMID EXPOSES A CONTRACTED CONSTRUCT: a provable precision building plan:

— From where?

RESULT:

— The urge to find a possible explanation has focused on a possible geographical early but (until a final collapse some perhaps 50 000 – 15 000 years ago) constantly continental drift fragmenting Atlantic land bridge between America and Africa-Europe.

In rough figures: Todays distance between America [Florida] and Africa-Europe shows on a world map roughly 0.12 M · 50 T6 = 6 thousand kilometers. That makes a mean yearly average separation of the same 0.12 meters or 4.72441 inches per each year during the past 50 million years. That is [well] enough to crack, break and breach a thin fragile land mass — periodically — having established earlier through a primary volcanic eruption [periodically renewed through further volcanism] — as Iceland did but surviving on a more heat tolerant [ceramic] rocky ground: still going strong. The more southernly parts — ATLANTIS — »did not survive». The possibility, if geophysically relevant, is the more interesting as the crucial period involves the first appearing humans on a full developed biological scale [fully rounded skulls, elastic and resilient Walk: The Woman as we know Her [The Nature Form no born man can resist]: The Pearl of our Universe].

— Reports claiming enigmatic glaciation events over the past amount of some thousand years only over the northern hemisphere has exaggerated the urge of testing, as these reports obviously promote a possible early Geo Atlantic land region: during a geological period, opening and closing the North Atlantic Current with following consequences.

— We will study some quotes on these reports in this presentation — eventually trying to exclude weak associations.

ATLANTIS CHEOPS:

ATLANTIS CHEOPS — or a Cheops ATLAS seems about to be revealed in its entirety

IF the following geological parts do have a solid physical ground.

A continuing with further examination of the GeoAtlantis alternative (14Dec2019)

GEOLOGICAL GLACIATION VARIATION DATA [GGVD] SUPPORTS AND FAVORS THE GEO ATLANTIS ALTERNATIVE

GEOLOGICAL GLACIATION DATA PROMOTE AND SUPPORT THE GEO ATLANTIS ALTERNATIVE [GGVD]

DEEPENED ARGUMENTATION — North Atlantic Current washes away ev. Atlantic artifacts by time

Established sources point out that MANY glaciation periods have occurred during the Earth’s surface geological history.

We only have to focus on the part in concern of the introduction

(400–200–50 Ma) of the the so called continental drift, schematically illustrated below.

— Roughly 200 Ma America Africa-Europe begins to separate. That introduces us to the actual Geo ATLANTIS alternative (Sw. Geo ATLANTIS alternativet), how it started in any possible true geological scenario.

More closely there is a (known, in parts) 3 Ma reference specifying the beginning of the latest (great) glaciation period (conv., the Quaternary Glaciation). Its possible extension can be used here as an illustrating base, as its geology is claimed to be well documented.

See in explicit the MaMap.

A corresponding GIF-animated WorldMap evolving sequence

— Ma, abbreviated from Million years ago

— fairly similar to the below, left part America-AfricaEurope only — is found @Internet on the website

https://gifer.com/en/7NOj

The illustrated parts summarizes the introduction to the continuing and testing investigation of the Geo ATLANTIS alternative: Its eventual connection to our physical reality. See further quotations in GGVD and IcyNORTH.

IF THE Geo ATLANTIS alternative has a real geophysical foundation

— a thin volcanic rebuilding-fragmenting America-Africa-Europe continental forcing barrier form — it ought to expose a significant influence on the streaming of oceanic water between equator and north pole.

— What the established sources sensationally say:

No south pole. Only north.

The affected part is only over the north part.

— It fits our Geo Alternative as the hand in the glove.

What has been reported (-Dec2019):

— Only exclusively (unique, some mysterious and strange, hard to explain oceanic) glacial variations appear over the north hemisphere — earliest from the beginning of the America- Africa-Europe continental drift (400-200 Ma). See further quotes in GGVD.

Known test period from 3Ma

We have — through already well established sources — one reference at ca 3Ma (Ma, Million years ago),

Sw. ” Istiden började för omkring tre miljoner år sedan, men glaciärerna har bara avancerat då och då och de har aldrig nått längre än till tempererade breddgrader.”, CG1984s28.

Eng.

The ice-age began about three million years ago, but the glaciers have only advanced now and then and have never reached further than temperated zones.

Same type of specification exists on Wikipeida (Quaternary glaciation, 10Dec2019) dated beginning 2.58 Ma, part of illustration below.

Ma, Million years ago — Agif

The World Map above illustrates a corresponding — possible — picture of a Geo Atlantis Alternative. The known period around 3 Ma is marked with blue for its (Wikipedia, Quaternary glaciation) ice cover. See further described and illustrated in GGVD with quotes.

— The testing form suggests a corresponding geologically — possible — evolving scenario in the land formation phase history.

Geo Atlantis Alternative’s suggested conditions, its formation on a specifically thin Earth crust (200—50Ma) — contrary to its spouse Iceland who survived the continental drift on a more heat resisting rocky ground with less dramatic drift — has extraordinary qualities in explaining the otherwise mysterious fast and vast northern hemisphere variations in glaciation: early seismic fragmentation on an early Atlantic fragile land form fed by a powerful continental drift, partly rebuilding new land through continuing volcanism. Today this volcanic activity has slowed down, now mostly active at sea bottoms several kilometers deep under the ocean surface.

See citation in GGVD.

When the land formation finally ceases, and the North Atlantic Current establishes its streaming route, (0,015—0,011 Ma), all previous fragments and traces of that land at the bottom of the the Atlantic ocean is rinsed away by the ticking seconds of time. Not a The F Word single trace of any Atlantis.

— But: is that scenario really geologically possible? No certain answer to that question is known here.

AtlantisCHEOPS ¦ AgifRef ¦ MaKartan

IcyNorth: GGVD ¦ FAN

— The enigmatic fast changes in glaciation periods only over the northern hemisphere, nothing over the southern parts.

IcyNORTH

” The abrupt climate changes that occurred during the last glaciation and deglaciation

are mind boggling both in terms of rapidity and magnitude.”, Seager2007a.

This GeoATLANTIS TEST encourages the enigmatically stated fast and strong variations inside the latest known glaciation periods.

Evolving scene:

Ma, Million years ago

If, during some geological period, a geological DOOR once existed between America and Africa-Europe

— seismically partly fragmenting from continental separation, partly rebuilding through volcanic activity

— it could explain the reported strange (enigmatic, mysterious) glaciation fast and vast changes in the nearest past.

Several describing articles (@INTERNET) are available explaining how the North Atlantic Current

(Wikipedia @INTERNET and others: North Atlantic Current)

is affecting the north pole’s ice growth or decline. Citations with references below.

SURFACE AREA CORRECT MAP PROJECTION OF EARTH GLOBE.

Antarctic (South pole) not included. Sequences schematically only in left map part, its continental drift America-Africa-Europe earliest 400 Ma, Million years ago.

If we hypothetically include a South pole Antarctic land in the leftmost picture, we have an Earth globe divided approximately in one part 50% land and one part 50% open and isolated ocean: equatorial oceanic current streaming is closed, no opening exists. While water conserves/transports the daily insolation heat better than rock around the World, a possible primary first glaciation period could have developed over both pole hemispheres with the early Earth land Passage Closed alternative:

— Mostly 24/7 a closed water basin on the water equatorial side: Mostly icy on the (northern) land side. But no further information of that scenario is known here.

— Later, with the Atlantic Continental Drift, the situation changes — also depending on smaller land bridges (Mexico, Alaska-Siberia) being opened or closed for water currents.

With our GeoATLANTIS alternative still under test

(earliest from America-Africa-Europe continental drift’s beginning [400–200 Ma, Million years ago])

it renders easy to see a possible random geological servo process of a corresponding ice growth or ice decline over the north pole (whole northern hemisphere).

See also NatCH.

NOTE24Feb2024: UPDATED ORIGINAL — 2017+

Additional note 245Feb2024 — the Conclusive above:

With the updated (RadioCarbonDating on the Cheops Pyramid mortar) information in CALTEP, the enigmatic and troublesome ”The Cheops Pyramid before 3000 BC” argument is not valid anymore.

(And neither is »the enigmatic emigration» of the hypothetic Atlantis population).

A sudden (everything explained) breakthrough has been exposed:

— »a seemingly full and complete consequential mathematical explanation» .

BASIC ARGUMENT as exposed from Appendix in this presentation:

— No way the level of physics and mathematics explaining (TNED) the Cheops Pyramid building and its interior was present in the early primitive human civilizations, the way these are known and interpreted in present history books.

Full explanation in Resolution 217

ALL THE PREVIOUS PRESENTATIONS IN this CHEOPS ATLAS document series complex (2017+) suffer the same consequential mathematics forced resolution:

On a necessary Earth ground Bound Hi Tech Atlantis culture — which fragmented .. leaving us in utter ignorance on explaining the history behind ..

— »the Pyramids, Cheops Pyramid and others, already stood there at the present established literary typically testified (CameronREF) sudden birth of the Egyptian civilization, around some 3000 BC».

— THAT was (what made the lock in) the enigmatic Quest which cannot be explained in detail:

— How, where.

— It had to be implied: unanswered.

Now (Feb2024) we are facing a new situation (the Radiocarbon dated Cheops Pyramid masonry mortar: it contains organic rests, dated farthest 2 900 BC).

— Our basic (fatal) idea that a (necessary, but never proven as such) High Tech Atlantis civilization was, had to be with no argumentation at all, Earth ground bound and based (consequential mathematics), was — until now — a fatal idea hiding the true consequential mathematical answer (now clarified from the Wikipedia article detail Radiocarbon dating on the Cheops Pyramid mortar content — not earlier noted in this production).

Namely:

— The possibility — hi tech principally free energy — to be independent of Earth geological changes: building airborne (huge) platforms from where a more elegant and stable organization — during longer periods — could be managed.

Bonus: all history explained. Every atom of it. TEST IT — down to the last atom.

— Why didn’t we think of that simple and most elegant consequential mathematics solution and explanation from the start?

— »The authors don’t like heights very much». There is always a trivial reason.

— Because there was no known argument stopping us from building on the idea of a permanent Earth ground culture — with all its enigmatic unanswered questions.

— What broke the ice?

— The Wikipedia passage (not earlier observed) of the radiocarbon dating: the mortar used in the stone masonry of the Cheops Pyramid. It contains rests from organic (ashes) material — dated at most latest 2 900 BC. That kills every available suggested idea that »the Pyramids already stood there, a long, long time ago». Then the whole history becomes consequentially explained. All the way, all details of the puzzle: TRY TO BREAK IT DOWN.

— The technological knowledge is the old aspect. Not the Pyramid as such.

To be corrected if faulty.

See full scenery explanation from RADIOCARBON DATING.

— No way the level of physics and mathematics explaining the Cheops Pyramid building and its interior, as it is (2017+) presented in this CheopsATLAS series documents, was present in the early primitive human civilizations. The way these are known and interpreted in present history books have absolutely no connection. No way. So, to conclude on consequential mathematics, what we know:

Reminding the necessary technological level (TNED familiarity: EARTHrJCIRCLE mathematics and physics):

—————————————————————————————————

ASSUMING AND TAKING FOR GRANTED that the Atlantic original region DID fragment as is suggested in these Glaciation view arguing statements, the Atlan population soon realized this (on an already established confirmed TNED deduced hi tech free mc² energy ATA/CAT foundation THE GAMMA PROJECT [still Mar2024: no direct electronic-instrumental gamma proof on the table, yet. But it is only a matter of time until it comes. And when it does, the world will most certainly change, fast ..] — deduced nuclear physics, proving and explaining present academia as a Primitive — because it invented on consensus instead of deducing on knowledge: consensus is not a scientific subject, but knowledge is):

— If we are not to get shredded ourselves in time by millennia intervals by this fragile local Earth geological structure, and our technological culture as well, we have to build (huge) airborne plant platforms, having these as stationary offices high above Earth ground, and thereby independent of Earth ground geology changes over millennia.

— From there, we can organize — better — our future civilization, taking advantage of the most favorable sites at Earth ground, with stations for food and material supplements, and some stationary settlements, for those of us who so wish.

Such a perspective is readily out of question in the present Earth world academic primitive idea of the atomic and nuclear physics: no way. Not even close.

A NEW SCENE — the number of humans on Earth say some 10 000 BC was what we know small

———————————————————————————————————————

The Atlans BUILT and emigrated — to (HUGE) Airborne Tech (with many smaller migration ships, frequently visiting Earth ground stations: food, material and general maintenance). So: Their civilization was never (ultimately) destroyed by any at all a geological catastrophe — although the original land sites would have to meet such a fate. The Atlans gradually »vaporized» — and became smoothly and perfectly undetected integrated in time with the rest of the human very much less intellectually developed civilization sites — however on the condition of their level: no force, no violence (non Atlantic populations: comparatively slow mental evolution/awakening, and so during [many] millennia — that seems to be a necessary puzzle: fairly comparable to the present academia and its idea of such a level of knowledge: retarded, low educated: not possible at all, no way, not even close)

— The most interesting: FIND an argument to disclaim all this found and revealed.

None yet found. Still searching.

Provided the Atlans themselves did not start civil wars and hopeless disputes, such a hi tech culture would in principle last forever (until the Sun dies).

— It would need a one human family consciousness in full awareness of the situation.

And that is the problem of our time: state administrative human right recognition:

Not one word. Not a spell. Not a sound. No daily talk: Nobody talks it.

” They are endowed with reason and conscience ..”, A1 UDHR10Dec1948.

— Oh yeah .. Exemplified where? UN: Just give us one example.

Cannot handle civilization. Cannot handle life. Cannot handle communication.

Human right recognition: suspended. A prison for humanity.

World wide state persecution of violence refusers. Very high tech. MustBuyBook.

Very educated, high level IQ.

If any of these aces enter a store, the merchandise shows tendency of going out.

Retarded, is an upgrade. Disclaim.

— What happened to their hi tech energy science, and its shipments, what became of these, and (above all), why the reason to build Pyramids (around 3 000 BC) and how would all of it be rationally and logically explained in a left Explaining Script?

— See the suggested Consequential Mathematics Scenery explanation in the following appendix from RADIOCARBON DATING.

And so it is — now, finally — possible to explain the (entire ancient) history on that premise. See further in the following appendix from RADIOCARBON DATING.

Editor2024II29

IcyNORTH ¦ NorthAtlanticGlaciationQuotes ¦ Seager2007a ¦ WikiQuater ¦ InterGlac100 ¦ WikiHolo ¦ WikiSahara ¦ NOTE24Feb2024

FAN: ¦ sw. fördjupad argumentering ¦ Function

NORTHERN HEMISPHERE GLACIATION VARIATIONS

INTENSIFIED EXPLANATION

SHORT ENGLISH:

— IF the GeoAtlantis Bridge alternately on its (here for further test) presumed primary thin Earth crust is (seismically due to The Continental Drift, TCD) fragmenting and partly (for some time) recovering from the ocean bottom volcanism, then also a ”door” sometimes is open and sometimes is closed to the North Pole — regulating the flow of warm equatorial ocean water:

RANDOM (short time) glaciation regulation occurs, together with a ”wash-out” of previous remnants and sediments on the actual GeoAtlantis (former) land base. [But this scenario must be confirmed by geological experts, if valid].

With this possible scenario, the late findings 0.011Ma (CG1984) of elephant teeth on North America’s east coast need NOT to be the (here) earlier stated absolute MARKER of ”a latest possible GeoAtlantis” existence (as [such] Atlantis artifacts have not been found [at all] on the Atlantic ocean floor).

This (enhanced) alternative gives us a better (more profitable) margin to test and relate a possibly Late GeoAtlantis populated crew MUCH CLOSER to our own time than ”no nearer than 0.050Ma to give »margins»”.

If this holds, we are better equipped to relate the historical gaps between the different possible stages.

All here collected quotations from Wikipedia on Glaciation mentions, and underlines, the (vital) role of the North Atlantic Current (NAC) — left upper dark blue extending from the Gulf Stream. NAC is the main Transit Route of warmer equatorial sun heated water upwards towards the North Pole. As far as the Atlantic passage is OPEN, this North Pole warm incoming water guarantees that any existing ice reduces to a minimum.

— However in these browsed articles, it is not even hinted at, nor mentioned as a possibility, that a possible land-bridge (The GeoAtlantis Alternative) — if at all present — SHOULD function as a North Pole GLACIATION Regulator — to and fro, depending on extension.

— The GeoAtlantis Alternative poses such an alternative, however as yet not verified as a real geological possibility other than exposed in this presentation: primarily created 200-50 Ma (Ma, Million years from now) on thin crust by volcanic activity — a fragile spouse to the more solid ICELAND alternative — from the beginning of The Continental Drift (TCD). TCD guarantees that any America-AfricaEurope build up on a thin crust will be seismically shredded by time, and in different (random) outbursts, with a possible ongoing recovery from new volcanic out-fills, see right part of the illustration above.

We would very much like to know if there are any kind or sort of strictly geological arguments to refute such a possibility — because IF the possibility is geologically valid (traces washed away), it also COULD be a perfect explanation to what today is perfectly shredded and lost a long time ago: Atlantis.

WIKIPEDIA, Gulf stream

https://en.wikipedia.org/wiki/Gulf_Stream

” The Gulf Stream influences the climate of the east coast of North America from Florida to Newfoundland, and the west coast of Europe.”,

” Although there has been recent debate, there is consensus that the climate of Western Europe and Northern Europe is warmer than it would otherwise be due to the North Atlantic drift which is the northeastern section of the Gulf Stream. It is part of the North Atlantic Gyre.”.

DeTiLi: FAN

DEVELOPING TIME LINE

— All traces gone from nearest 15 000 years back.

ASSUMING The Geo Atlantic Door South-North finally became fully opened

— no more volcanic rebuilding of obstructing land between the continent sites America and Africa-Europe

— it will be easy for us to see a most flashing prominent geological effect:

Every piece of information from a previous land

— which occasionally sunk to the ocean bottom from tearing seismic continental drift mechanics

— will be rinsed and cleaned away northerly by the continuous water current.

With — nearest — a period of 10 000 to 15 000 years of such open North Atlantic oceanic current flow, we would expect that nothing, not a smallest trace, will be found on the Atlantic ocean bottom from a possible early real existing geological land form. It is all gone, washed away and fragmented and sea eroded. If remnants still exist, we would look for them at the continental edges: the only geological and geophysical places excluded from the south-north pushing and rinsing water currents.

This Finally Atlantic Opened Door possibility — provided the Geo Atlantis alternative holds geophysically — gives us a most close possible time line to set out for the absolute — to our own time closest — remnants of an original Atlantic culture: no closer than say 15 000 years back.

The findings of elephant teeth [CGsource] at the northern coast of North America dated farthest 15 000 years back

— with our first simple critical argument: if these were Atlantic, elephant teeth would be found all over the Atlantic ocean floor

— will lose all argue-mental power in aiming at ”why then are there no elephant teeth all over the Atlantic floor”:

— Because of the simple fact that these have had just about 15 000 years to be washed away from the site, due to the North Atlantic Washing Away Every Possible Trace Current.

So:

— Our search for a NEAREST ORIGIN (of whatever more profound) will and can, have the time line as a first set out: No more close to our own time than roughly 15 000 years back.

FAN ¦ DEVELOPING TIME LINE

GEOLOGICAL GLACIATION VARIATION DATA [GGVD]:

IcyNORTH ¦ NortOnly ¦ Function ¦ FAN

THE REMARKABLE HERE IS THAT the nearest to our time CHANGE SHOULD HAVE OCCURRED RATHER SUDDENLY about 14 000 years ago: the glaciation on the northern hemisphere decreases and is reduced drastically over a shorter time.

— See also with quoting references in Seager2007a.

Warmer water from Equator reduces a colder North — no actual news

WIKIPEDIA, Gulf stream

https://en.wikipedia.org/wiki/Gulf_Stream

” The Gulf Stream influences the climate of the east coast of North America from Florida to Newfoundland, and the west coast of Europe.”,

Our Quest:

— If

— over thousands of years in the earlier younger Earth geological history

— there is a holding-stopping-locking-let-go geologically dynamic barrier belt across the America-Africa-Europe Atlantic ocean

— ongoing geological fragmentation with volcanic recreation

— the continental drift works as a tension dragging machine tearing any eventually earlier formed volcanic land seismically apart

— partly reforming from new volcanic activity (compare the new island Surtsey outside Iceland in 1963), during some geological period,

— there is also, or should also be provisional conditions for a Northern Atlantic Current to CHANGE

— fluctuate

— over same time periods:

— Warmer equatorial water sometimes penetrates and sometimes not the northern polar regions.

THEN:

— The reported mysteriously fast and vast changes over shorter periods receives an explanation.

” The abrupt climate changes that occurred during the last glaciation and deglaciation

are mind boggling both in terms of rapidity and magnitude.", Seager2007.

”simply astounding”

GEOLOGICAL GLACIATION VARIATION DATA

WIKIPEDIA, TIMELINE OF GLACIATION (14Dec2019)

https://en.wikipedia.org/wiki/Timeline_of_glaciation

” There have been five or six major ice ages in the history of Earth over the past 3 billion years. The Late Cenozoic Ice Age began 34 million years ago, its latest phase being the Quaternary glaciation, in progress since 2.58 million years ago.”,

” Within ice ages, there exist periods of more severe glacial conditions and more temperate referred to as glacial periods and interglacial periods, respectively. The Earth is currently in such an interglacial period of the Quaternary glaciation, with the last glacial period of the Quaternary having ended approximately 11,700 years ago, the current interglacial being known as the Holocene epoch.[1] Based on climate proxies, paleoclimatologists study the different climate states originating from glaciation.”, WikiTimeGlac.

Geological proofs of rapid and large changes in glaciation (icing) 0.0147 Ma ”is simply astounding”:

Seager2007:

ABRUPT CLIMATE CHANGE

CHALLENGES TO OUR UNDERSTANDING OF THE GENERAL CIRCULATION,

Richard Seager and David S. Battisti, April 5, 2007

http://ocp.ldeo.columbia.edu/res/div/ocp/pub/seager/Seager_Battisti_2007.pdf

"12.10. Conclusions

The abrupt climate changes that occurred during the last glaciation and deglaciation

are mind boggling both in terms of rapidity and magnitude.",

" That winters in the British Isles could switch between mild, wet ones very similar to today and ones in which winter temperatures dropped to as much as 20◦ C below freezing, and do so in years to decades, is simply astounding.",

" No state-of-the-art climate model, of the kind used to project future climate change within the Intergovernmental Panel on Climate Change process, has ever produced a climate change like this.",

" 12.1. Introduction

About 14,700 years ago (14.7 kyr BP), towards the end of the last ice age, the climate

warmed dramatically and abruptly around the North Atlantic—by as much as the

difference between full glacial and interglacial conditions—in no more than a decade

or two.",

" This is all the more remarkable because it occurred in the presence of massive

ice sheets and continuation of the albedo forcing that presumably had been helping

maintain glacial conditions up to that point. But it was not to last.",

" Sometime just after 13 kyr BP this Bølling-Allerød warm period ended as climate first cooled, and then abruptly cooled, into the so-called Younger Dryas. As near-glacial conditions returned, glaciers advanced in Europe, and the forests that had established themselves in the preceding warm epoch died. The Younger Dryas ended with a second abrupt warming that occurred over only a decade or so and that shifted temperatures back to those of the Holocene and of today.",

" The idea that the climate system goes through such abrupt shifts did not take the

climate research community by storm but dribbled into acceptance in the 1980s and

the early 1990s. Only when duplicate ice cores said the same thing and the evidence was

found in multiple indicators within the ice—oxygen isotopes, dust concentrations, snow

accumulation, and so on—and could be correlated with terrestrial and marine records

did acceptance that abrupt climate change was a reality sink in.",

" This gradual acceptance is telling. When Hays et al. (1976) showed just how well

climate records from deep-sea cores could be matched to orbital cycles, it was deeply

satisfying: ..",

" Three decades later we are still far from understanding how orbital changes are

converted into ice-sheet growth and decay. While this is testimony enough to our limited

understanding of the climate system and general circulation, abrupt climate change is

now the star witness. In this case, the climate changes occurred not only abruptly but,

apparently, in the absence of any external forcing. The lack of any theory for how such

changes could occur helps explain the slow acceptance of what the data were saying.",

SEAGER2007.

Function: GGVD ¦ MaMap

Established theory seems to have no — not even a hint mentioned — theory comparable in caliber of The GeoAtlantis Alternative:

— A geological fragile America-Africa-Europe formation, partly fragmenting from The Continental Drift (TCD), and partly (less) recovering from underneath by Atlantic volcanic activity:

— Disappearing totally in the length of time.

IT does have a principle — principal, main — physical geological potential of partly blocking and partly allowing a The North Atlantic Current to pass

— or be blocked further north.

If so:

— The reported (mysterious, enigmatic) fast glaciation changes explained.

When The Passage finally ends (DEVELOPING TIME LINE)

— its partly volcanic recovering land form geological time period ceases

— its remnants (The Continental Drift seismically shredded [mud, sediments])

on the Atlantic oceanic bottom effectively is transported away northerly by the current streaming.

— Traces are wept out. The northern water current effectively hides away any trace of any possible former land shape or its eventual artifacts: no F Atlantis.

NorthOnly:

Only the northern hemisphere:

" In the two decades since the discovery of abrupt change, two advances have been

made.", SEAGER2007;

" First, the spatial pattern of abrupt climate change has been better delimited, and

it is now known that these events occurred essentially synchronously across much of

the Northern Hemisphere (including the northern Tropics) within the atmosphere, the

surface ocean, and the deep ocean.",

" Abrupt changes are not found in the ice records from Antarctica, and the Southern Hemisphere remains a question because of limited data. These spatial patterns place some severe constraints on proposed mechanisms of abrupt climate change.",

" Second, mechanisms have been advanced that revolve around the thermohaline circulation (THC). Broecker et al. (1985) were perhaps the first to suggest that rapid warmings and coolings of climate around the North Atlantic were caused by rapid switchings on and off of North Atlantic Deep Water formation with “on” states being associated with transport of warm waters into the subpolar North Atlantic.",

" Despite difficulties explaining the paleoclimate record of abrupt changes with the THC theory, no competing idea has yet been offered.",

SEAGER2007.

GGVD ¦ WikiTimeGlac ¦ Seager2007 ¦ Function ¦ NorthOnly

Ma, Million years ago ¦ GEOLOGICAL SCENERY

NotedFACTS

AppendixResolution217: Mathematical — as the 1883 Flinders Petrie Cheops Pyramid Cheops Rectangle Golden Section Matrix System provable Solution; Forensic — on the origin of human history civilization: UDHR10Dec1948;

CAN CONSEQUENTIAL MATHEMATICS [COMA] EXPLAIN OUR ENTIRE HUMAN HISTORY ON PLANET EARTH? The will of the people .. Additional NOTE24Feb2024

Resolution 217 — GS Golden Section Matrix Systems Solutions — with Earth radius CIRCLE on neutron Dmax density and present mass — defines the [1881] Petrie measured Cheops Pyramid half base 4534.40’’ with a 99.9999832% precision: »Resolution 217». The Mi-UNIT ¦ CalculatingThePetrieMeasures ¦ GoldenSectionMatrixSYSTEM

Appendix ADDITION 10Jan2024: ReadITandWEEP: Explained in Resolution 217 — 4¦9JAN2024 — CheopsAtlasTNED additions

Universe History Content — in a short summation (4Mar2024)

--------------------------------------------------------------------------

NEUTRON SQUARE — Planck constant calculating atomic masses outclasses modern academic atomic and nuclear theory

ALL KEPLER MATH — proving, comparing and certifying that relativity theory blocks the understanding of physics

CWON from CAP — Earth crust isotopic composition with Atmos Bios Litos: the 10 biological equivalents

PO4 — world laboratory institutions: perform a mass spectroscopic inspection in clarifying biological O18 over natural O16: deforestation's general biological life power reduction issue: a growing (respiratory) world pandemic threat situation

RESOLUTION 217 — Proving the Flinders Petrie 1883 Cheops Pyramid measures to mirror a GS Golden Section Matrix System solution:

— knowledge of Planck constant (h=mcr: neutron mass, light propagation in vacuum, neutron gravity spin radius), Earth mass and average Neutron mass density (Earth mass radius on that), encircling the geometry explained in Golden Section Matrix System Solutions, no primitive Egypt culture organization (all human civilization history explained);

— It occupied the author so intensely — the illustrated mathematical proof — that it was completely forgotten, for a short while, until checked, that RESOLUTION 217 (A) is also the declaration of universal human rights UDHR10Dec1948 — on the same connection: “.. and all of you are children of the most High”, Ps.82:6; no geographic Israel. ISRAEL cannot be inherited, does not connect to a physical body. No mother god loving way. It must be earned (realization through knowledge only).

Cheops Pyramid Resolution 217 testifies a provable connective Origin of The Script (with a clear bottom line message, especially to UN): no geographical Israel. Proof of the Origin of Human Civilization: Resolution 217 (the clean 217 resolution as the pure mathematical Flinders Petrie Cheops Pyramid Cheops Rectangle Golden Section Matrix Systems Solution; 217 A as our respected UDHR10Dec1948). Disclaim. Claim whatever you want.

THE CLAIM — testifying and vindicating the origin of The Script: the urge of UN to clean up the mess itself has sanctioned: ISRAEL: suicide on humanity. Wake up world:

— Recognition. Not decision. Decision outside human right recognition has only power to destroy. Present day Earth situation illustrated.

None of these features AS SUCH NAMED occupy the content of and in modern academia (4Mar2024). Never mentioned. No teaching. No education.

THE LEVEL OF PHYSICS AND MATHEMATICS IN THE CONSTRUCTION AND ITS DETAILED ACCOUNTABLE PLANNING, PERFECTLY EXCLUDES ANY PRIMITIVE CULTURAL ORIGIN.

See further short SCENE in Radiocarbon Dating.

MATH — Resolution 217 — fully explaining the origin of Human History Civilizations (disclaim):

INTEGER 217 connects and defines the Planck constant neutron Earth mass density Earth rJCIRCLE Cheops Pyramid Cheops Rectangle GS Golden Section Matrix System Solution Geometric Corner enveloping sphere, with a 99.9999832% confident definition of the 1881-1883 Flinders Petrie measured half Cheops Pyramid base 4534.40'' = bPETRIE = [h–r/217]rJ √R. The definition consolidates and certifies a direct and detailed proving connection between Petrie's quantitative measures and the corresponding calculated Golden Section Matrix System solution values, as presented. In explicit it shows on the equative solution to Petrie's observed and noted (general pyramid constructive) 19th course masonry thickness — its principal constructive connection to the inner descending corridor and its angular connection to the Pyramid's outer casing (Second Iterative Equation) — and their further appearing recursive constants on the other inner details.

Taken along with The CLAIM — an explicit forensic testimony evidence, unless disclaimed, concluding a separate, quite different origin of The Script, the Old Testament, than the one present in established academia — the summing conclusion strongly points out a complete (deeply academia rebellious) explanation to our human, generally dim and embarrassingly difficult to encircle, historical origin on the level of civilization — and insight into advanced natural science;

WORD — Resolution 217 (A) — a universally formulated origin on the basis of a concept — dignity — in concern of caring for a Human Civilized History (disclaim):

— UDHR10Dec1948. 8 introducing Paragraphs, with a following 30 Articles, stressing A Universal Human Rights Declaration.

— No difference in right and dignity between born humans: no geographic Israel. No Trafficking. Concurring in full with the math and (archaeological) forensic GS Golden Section Matrix Systems Cheops Rectangle Cheops Pyramid 1883 Flinders Petrie measured Resolution 217 part: the origin.

--------------------

— Children — and even animals — apprehend that type of simple and easy to understand basics with excellent perfection.

— So, 2024 world wide business enterprise United Nation Tourist Cookie Ace, not one word human right mentioning recognition: where do you come from? Explain.

— Back off.

— »Get the fuck out of my beach».

Stop killing humanity.

Disclaim — Faulty statements are not allowed here:

—————————————————————————

MODERN ACADEMY TheLIST AND ITS STATE ADMINISTRATIONS MicrosoftLIST ARE HOLDING HUMANITY IMPRISONED IN DEEP IGNORANCE

— by drift. Not plan. Provably Low educated, Retarded, Intellectually Disabled administrative managements: Cannot handle civilization. Not even close. Not one word human right recognition. Not a sound. Not a spell. Not a hint. Again: low educated, retarded. Does not understand The Concept: dignity — 100% state administrative oblivion Not even a hint. Total Silence. Again:

— Children — and even animals — apprehend that type of simple and easy to understand basics with excellent perfection.

— So, again, 2024 world wide business enterprise United Nation Tourist Cookie Aces, not one word human right mentioning recognition:

— Where do you come from, and when did that happen? Explain.

Connecting Damn you Microsoft ..

—————————————————————————————————————

WORLD STATE ADMINISTRATION JURISDICTION

Refuses human computer rights

Disclaim (Mar2024):

—————————————————————————————————————

Uses humanity's collected capacity for developing Computers. World Trade. Market. All of it.

Then buying up Computer Usage Rights — with state administrative jurisdictional help —

in order to force — coercive treatment — the workers to also pay — provide economic support — for what they did create.

———————————————————————————————————

Exceptionally Very high developed sense for human right recognition respect. Oh my.

---------------------------------------------------

And you, prosecutor — and you court: says what about such open practicing Trafficking Human Mind charity?

— »That is not our cause. We only follow the stated laws». Zero responsibility. Anarchy Directors.

---------------------------------------------------

— Oh .. gaad .. say something these eminent Aces are NOT.

—————————————————————————————————————

BOOK USABILITY LICENSE: You pay when you read!

PEN USABILITY LICENSE: You pay when you draw!

SHOE USABILITY LICENSE: You pay when you walk!

— NO ACCESS UNLESS INTERNET CONNECTED. Your rights and freedoms: suspended.

MIND USABILITY LICENSE: You pay when you use!

—————————————————————————————————————

— Did you say something — world business enterprise cannot hear you!

— You were saying?

—————————————————————————————————————

Mississippi 1820. Microsoft Copyright Enterprise.

ALL PETRIE DATA in this production are COLLECTED, QUOTED AND SAMPLED FROM

THE PYRAMIDS AND TEMPLES OF GIZEH, William Flinders Petrie 1883

W. M. Flinders Petrie 1883 — @INTERNET Ronald Birdsall, 2003-14

http://www.ronaldbirdsall.com/gizeh/petrie/index.htm

The Petrie quantities are tested against a Golden Section solution of an ideal CheopsRectangle bd=h² Pyramid

based on a (2017) discovered match between the size of the Earth on present mass by max neutron density

and the inscribed Pyramid as illustrated below in a Golden Section matrix mathematics related environment.

EARTHrJCIRCLE: RITa

CHEOPS PYRAMID IS A PROFOUND AND DETAILED GOLDEN SECTION MATRIX* SOLUTION — ON DEDUCED AND RELATED MATHEMATICS, CERTIFIED BY Flinders Petrie’s Measures 1881-1883 with

*GoldenSECTIONb¦PnCHARTmatrix: b_n = Rⁿd ; P_n = bRⁿ^–1/√5 — unlimited fractal matrix series

EARTH SIZE

PRESENT MASS

ON MAX NEUTRON DENSITY

Disclaim. That will be the most interesting part in this expedition: Don’t forget to update.

Shorter:

— IT IS TIME TO CLOSE THE BED TIME STORIES ABOUT THE ORIGIN OF THE PYRAMIDS, I’m afraid.

Especially on the academic level of being primitive constructions.

CALCULATING PETRIE’S (1881-1883) MEASURED CHEOPS PYRAMID VALUES HERE IN UNIVERSE HISTORY (UH) IS PARTLY BASED ON A SIMPLE SCALING FROM PETRIE’S VALUES AS BELOW: 4534.40’’/100Ppixels.

— In this presentation the foremost parts are revisited (from the original 2017[discovery] and 2020[Atlas]) and clarified

— according to the related discovered planning of the building.

The plan center is the Pyramid center seen from above, with the (termed) Queen’s Chamber seen in view from East to West, as below.

The Cheops Pyramid has no found adornments or any other reported artifacts from its originally sealed available inner.

GOLDEN SECTION (GS) GEOMETRICAL MatrixSystem MATHEMATICS:

R = b/d = (–1 +√5)/2 = 2/(1 +√5) — GoldenSectionConstant = 0.618033989..

THE 10 FIRST Petrie-rJCIRCLE-CHEOPSRECTANGLE GoldenSectionMatrixMathematics verifications

VERIFICATION METHOD ¦ PrJCver1 ¦ PrJCver2 ¦ PrJCver3 ¦ PrJCver4 ¦ PrJCver5 ¦ PrJCver6 ¦ PrJCver7 ¦ PrJCver8 ¦ PrJCver9 ¦ PrJCver10

GoldenSECTIONb¦PnCHARTmatrix: b_n = Rⁿd ; P_n = bRⁿ^–1/√5 — unlimited algebraic fractal GOLDEN SECTION Circle-SQUARE geometric series

ALGEBRAICGeometricSeriesMatrix — full GOLDENSECTIONCircleSquareGEOMETRICMatrix —

PYRAMID COORDINATE SYSTEM — adopted after Flinders Petrie’s measurements: NORTH Pyramid base edge (from one of the few remaining casing stones at that level) defines the xy=0 coordinate center point. All horizontal measures are then related southwards (negative x — Petrie uses only positive values, referring to the North Pyramid base). With Petrie’s specified half Pyramid base bPetrie = 4534.40’’ ± 0.25’’, a regular Golden Section Petrie Pyramid copy appears, ready to be tested against Petrie’s actual measures. See details below in bPetrieDetermination.

Once the half Pyramid base (b) lengt is known (bPETRIE), the bPetrieDetermination mathematical transfer creates a regular exact Golden Section Constant (R) Pyramid copy from the simple but powerful foundational (Mathematics Five Constitutions) CheopsRectangle mathematics bd=h².

The Golden Section Pyramid designations, as above, have b/d = R = 2/(1+√5) = ½(–1+√5) = 0.618033989 = 1/R – 1. From a known b, the R matrix system of equations is then presenting an entire Golden Section Pyramid copy — including a mathematical rJ=k connection. See Golden Section mathematics matrix system. Additional links in this production will follow the main text presentation.

EARTHrJCIRCLE equation:

rJ(Dmax) RITa

= 6.62559E-034/299792458*(3*5.975E+024/(PI()*(1.0086652*1.66033E-027)^4))^(1/3) ¦ OpenOfficeCalcCELLcode

= 198.572154778 M = k(rJ)

The rJ equation in related physics and mathematics:

Dmax = (mN)⁴(c₀/h)³/4 ¦ V = mJ/D = 4πr³/3 ¦ r³ = 3mJ/4πD = 3mJ/π(mN)⁴(c₀/h)³ ¦ rJ = [3mJ/π(mN)⁴]^1/3(c₀/h) = 198.5 721 548 M. See also: TheLIE — comparing Civilized Origins;

mJ = 5.975 T24 KG ¦ mN = 1.0086652u, u = 1.66033 t27 KG = mC12/12 ¦ h = 6.62559 t34 JS ¦ c0 = 2,99792458 T8 M/S. Natural Constants. See also from HowBegin — The Bilogical Earth: isotopic crust composition.

bPetrieDetermination:

Resolution 217

One single whole three digit number can provide the Neutron mN Planck Constant Light Physics familiar Earth mass mJ enclosing Neutron max Density rJ-sphere radius 198.572155 M geometrical mathematics to include the 1883 Flinders Petrie working group Cheops Pyramid measured quantities within the Petrie given tolerances of, half the pyramid side, 4534.40’’ ± 0.25’’, on the ideal Golden Section pyramid mathematics — with a preserved precision into 99.9999832%. What number is that? (h – r/217) · √R = 4534.399236463:

(147.201338417 – 151.482764953/217) · 0.786151378 = 4534.399236463’’ = ¦ 4534.40’’ ±0.25’’ PetrieCH6.25 ¦ = 115.173740606 M

PRECISION: 4534.40/4534.39924 = 1.000000168, inv. 0.999999832: 99.9999832%. This (8Jan2024) result has no previous text in UH (UniverseHistory).

— How is the number 217 explained? See the revealing details from ThePlan in TheUNITS.

Once the pyramid half base factor b is given,

a Golden Section Pyramid comparing solution with its following parameters are given from

The bd=h² Golden Section Constant R = 2/(1+√5) = (–1+√5)/2 = 0.618033989;

r = b/(3–√5) = b(1/R + 1)/2

x = r – b

d = b/R

R = b/d = 0.618033989

h = √bd

P = b/(R+1/R)

k = √ (d – b/2√5)² + b² (= rJ)

k0 = k/b = √1 + (½ + 2/√5) = 1.715933329

k = bk0

P/r = 2/(R+1/R)(1/R + 1)

The Golden Section Cheops Rectangle Pyramid angle:

C° = aTan(1/√R) = 51.827292373° = 51° 49’ 38.2525’’

So, by principle, Resolution 217 presents a strict numerical 99.9999832% proof:

The rJ CIRCLE Golden Section Cheops Rectangle defines the ideal Golden section bPetrie (1881-1883) b = 4534.40’’ measured Cheops Pyramid — with its base Petrie plateau situated 27.48’’ above the actual rJ CIRCLE Cheops complex (Resolution217).

And it is apparently so: Without the rJ CIRCLE/Sphere definition, also the bPetrie = 4534.40’’ defined deduction is absent. As the established academia archaeologists are not likely to give credit to the 2 500 BC Egyptians in familiarity with the rJ CIRCLE/Sphere definition — Planck constant, atomic physics neutron details and propagation of light physics, even the mass of the Earth — there is not much left to chose on in placing the Cheops Pyramid (and its alike constructs) on the map of time: long before. The 1881-1883 Flinders Petrie group measures of the Cheops Pyramid is now taking a stand as the one stone solid proof.

Resolution217: TheUNITS ¦ Explain217 — detailed deduction¦ RITa

bPETRIE = [h – r/217]_rJ · √R = 4534.399236463 ¦ = 4534.40’’

= [5795.3282841311’’ — 5963.8883839628’’/217][0.7861513778] = 4534.3992364633’’

DISCOVERY: 10Jan2024.

USE: Definition of Petrie’s Cheops Pyramid half base 4534.40’’ from the EARTHrJCIRCLE

Golden Section Matrix System Solutions — the proving connecting core: TheUNITS ¦ MiUNIT

———————————————————————————————

How the Cheops Pyramid Flinders Petrie (1883) measured data led to

THE CONTRACTED CONSTRUCT —

explaining (proving) the Cheops Pyramid building plan in detail — or not at all

Resolution 217

4534.40/4534.399236463 = 1.000000168, inv. 0.999999832.

Precision:

99.9999832%: [h – r/217]_rJ · √R = 4534.399236463 ¦ = 4534.40’’

READ IT AND WEEP (rJref ) — or RESOLUTION 217

The PetrieCH6.25 bPETRIE half pyramid base length value 4534.40’’ (±0.25’’) — a highly possible peak into the pyramid constructor’s desktop

• It is in no way a derogating teminology or phrasing (rather the opposite):

The READ IT AND WEEP terminology may be convenient in a context

• where everything — up till some time — seems to be a riddle, »simply impossible crap .. gimme a break ..», but

• really has a sophisticated (simple) solution, when everything comes about (»from a cry to a smile»).

———————————————

CALTEP ¦ METHOD ¦ GOLDEN SECTION MATRIX SYSTEM ¦ FirstResult

ChEX: — FirstResult: Resolution 217 ¦ BasicCalculations: THE7BEGIN ¦ BpointDetermination — formating BUARMyATH, BconnectingPG, PyramidCenter¦ MAIN:

ChEX — FirstResult¦ SecondResult — CALTEP with FirstResult application test ¦ Height18 ¦

Example:

Based on comparing the Petrie Cheops Pyramid measures

DETERMINING/testing THE CORRIDOR HEIGHT

BASIC GOLDEN SECTION GEOMETRICAL MATHEMATICS only

h = ([bPETRIE = 4534.40’’]/100)(2 · 3 · 18 / 100)² · √0.8 ¦ PREFIXxSIN: (sin¦cos ArcTan½)² = 0.8 ¦ 0.2.

FirstEX: ChEX

First simple CALCULATION BY SCALE bPETRIE4534.40’’/100pixels OF THE DESCENDING PASSAGE HEIGHT

ALL MEASURES AFTER THE 1881-1883 FLINDERS PETRIE CHEOPS PYRAMID MEASUREMENTS

ALL VALUES IN A PETRIE STANDARD 2 DECIMAL ROUNDED INCHES

—————————————————————

PETRIE DATA SOURCE:

THE PYRAMIDS AND TEMPLES OF GIZEH, William Flinders Petrie 1883

W. M. Flinders Petrie 1883 — @INTERNET Ronald Birdsall, 2003-14

http://www.ronaldbirdsall.com/gizeh/petrie/index.htm

PetrieCH6.32:

”(5) entrance passage height 47.26.”. [ ± 0.17’’ ]

It is suggested that the entire Golden Section Matrix System represents »AN ARITHMETIC RESONANCE» — compare M74 — generating multiple recursive whole number solutions [directly connected to life morphology]. See VOOD for the testing method.

RESOLUTION 217 — it gives a 99.9999832% close definition of the bPetrie 4534.40’’ ± 0,25’’ half Cheops Pyramid base — offers a first successful test together with the Petrie Cheops Pyramid pixel scaled version 4534.40’’/100p as below. It shows a (Resolution217) recursive small set of constants 2•3•18=108 directly leading to a close Petrie tolerance concordant quantity of the tunnel height (deviation: 0.05’’ from Petrie’s max ± 0.17’’). The solution uses the number 108 in a factor form (108/100)². See also The18.

Nearly the same value (47.3050516137’’) appears also in the Fifth result — a more detailed summing of significant components entirely based on the Golden Section Matrix System METHOD. The recurring constants appear at three sites (Tunnel cross B, Gallery ramp top PG, and Pyramid North entrance A).

It should be noted that all these results are based on conversion operations (CALTEP) between the Golden Section Matrix System and the originally tested rJCIRCLE value. Without the latter, the decisive constants, transfers and units and their results will not appear (Original Cheops Rectangle 2017).

The number 108 appears when testing the Petrie value 47.26 to the scaled illustration: 1.08² ÷ (47.26 ÷ [2p(4534.40’’/100p)/2 • √0.8 = 40.55690655] =1.165276251) = 1.000964363. With a 1.000000000 match the Petrie measured Ch = 47.26” value becomes 47.3055758’’: inside the Petrie associated tolerance. Meaning: The construction might as well have been ordained from the 1.08² numerical operation. As the results are OK within the Petrie advised tolerances, we cannot disprove the existence of a matching building plan.

Vh = (4534.40’’/100)([108 = 2•3•18]/100)²

THE SCALING PRECISION

Summing Components VALUE IN FifthResult ¦ EntrancePassageAngle ¦ SecondResult

47.3050516137’’ ¦ 47.31

Result: Equation’s calculated value

using Resolution 217 recurring numeric constants:

2(4534.40/00)([108/2]/100)²√0.8 =

e=ChTUNNEL 47.3055758’’descending tunnel parallel height

(4534.20/100)(108/100)²√0.8 = 47.3034892787’’ ¦ 47.30

rJCR scaleTest: 47.31’’ (no tolerance) ; approved. 99.8943141 % match. [ ± 0.04’’ = ±1.016 mM ]

Petrie measure: 47.26’’ (± 0.17’’) ; highest 47.43, lowest 47.09 ¦ deviation: 0.0455758’, = 0.05”.

PetrieCH6.32.r56: ” entrance passage angle at mouth 26°29’ ± 1’, entrance passage height 47.26”.

No specified tolerance in that quote. Petrie’s text above the quoted (r32, see PetrieQUOTE19th) specifies ”mean doorway height .. 37.67 ± .17”; Adopting a 47.26’’ ± 0.17’’, our (numeric) 47.3056 is OK (+0.0456). The result is certified through another approach on the same result (see Second result and more precisely the Fifth result).

Difference rJCR – PETRIEm = 0.0455758’’ — well within an adopted ± 0.17’’ tolerance.

Ch = 2p(4534.40’’/200p)(108/100)² · √0.8 ; uses 2•3•18=108 from Resolution 217.

= 47.3055758’’ ; CorridorHeight

108/100 = 2 · 3 · 18 / 100 = 27/25 = 3³ / 5²

Conclusion:

Petrie verified Entrance passage Height

Application Example:

See (Second result)

HOW PETRIE CALCULATED THE ENTRANCE

Comment:

IF we were dependent on Petrie’s measured half Pyramid base bPETRIE = 4534.40’’ ± 0.25’’ ONLY, the above reckoning would only be »a regular result from robbing on Petrie’s scaled Pyramid». We would not get any independent credit for such a theft. As the bPETRIE 4534.40’’ as such however now (Jan2024) has found a whole number Resolution217 independent solution with a safe rJCIRCLE related match 99.9999832% — using recursive constants, the being used on multiple sites — we are no longer bound by Petrie’s measures. Resolution217 allows a claiming status of a direct definition of the Petrie half Pyramid base INCH measure — in turn from the (MiUNIT) numerical operation

rJ/100R√16000 = 0.025400718 an automatic 0.0254 M unit if so rounded on the Planck Dmax mJ constant in our rJCIRCLE. Our 1 Inch = 0.0254 Meter definition.

So the InchMeter UNIT adoption is proven, by arithmetics, independent of Petrie’s results — rather as their definition. We will see that it is so by the Petrie measured details.

Explain Resolution 217: FIRSTex

Petrie CH6 22 (The possible 27.58’’¦27.48’’ factor, IntroTEF): [all four corners with different vertical ground socket sets between 23.0-39.9’’ below Petrie’s pavement].

After having used the bPetrie pyramid data, resulting in an ideal height difference hDIFF between PetrieCR and rJCR of 27.48’’, we made a simple numerical test:

Testing the rJCR basic CHEOPS RECTANGLE bh=h² GoldenSection Pyramid parameters b 2b h d x r P P/2 P/r k R k₀ on a division with h – hPetrie¦CR =27.48’’ (27.482385374) gave the results: 165.77911 331.55821 210.87428 268.23623 51.22856 h=198.572154778 M ¦ r ¦ ¦ 217.00767 74.13867 37.06934 284.46590 0.02249 0.06244. No other basics.

Reversing the revealed »x.00 y» reckoning yields: (as it so has happened: 7 and 31 are primes (the 4th and 11th): 7 · 31 = 217 = 116 + 101 = 108 + 8 + 101: The7):

hDIFF = (r¦rJ)/217 = 27.483356608’’ = 27.48’’ ; [h – r/217]_rJ · √R = 4534.399236463; compressed:

h¦rJ – hDIFF = h¦PetrieCR = 5767.844927523 = »5767.85»’’* ; bPETRIECP¦CR = h¦PetrieCR√R = 4534.399236463 = 4534.40’’.

4534.40/4534.399236463 = 1.000000168, inv. 0.999999832.

* 5767.845898757’’ / 5767.844927523 = 1.000000168, inv, 0.999999832 = 99.9999832%.

Petrie’s (Petrie CH6 22) bPetrieCP¦CR = 4534.40’’ (±0.25’’) appears directly — can be calculated OR WAS SO DELIBERATELY SELECTED from the rJ GoldenSection (r) Cheops Rectangle.

— See how the crucial hDIFF (27.48’’) exposes a possible direct insight into the pyramid planning construct in THE UNITS: How bPETRIE 4534.40’’ is determined from rJCR with no less precision than 99.9999832%. That given, the whole plan is given in principle.

———————————————

See wider in

CALTEP ¦ TheMiUNIT ¦ Explaining Golden Section Pyramid Agents

AppendixResolution217 ¦ RITa ¦ EARTHrJCIRCLE ¦ EARTHrJCIRCLEequation ¦ rJ ¦ bPetrieDetermination ¦ Resolution217 ¦ ChEX ¦ FirstResult ¦ FirstEX ¦ Res1 ¦ EXPLAINResolution217 ¦ Star1 ¦

PyramidData: Res217 ¦ ChEX

THE 4 rJCR PYRAMID AGENT’S BASIC DATA

PetrieCP ♦ PetrieCR ♦ Agent16 ♦ Agent58

DATAPetrieSOURCE: PetrieSOURCES ¦ PetrieQUOTES — detailed 2’’ decimal Petrie data specifications used to refere and certify the rJ Cheops description

THE PYRAMIDS AND TEMPLES OF GIZEH, William Flinders Petrie 1883 — W. M. Flinders Petrie 1883 — @INTERNET Ronald Birdsall, 2003-14

Petrie CP Cheops Pyramid — the original (1881-1883) Flinders Petrie group measured basic Cheops Pyramid Values

—————————

PetrieCP: our tourist version	°	=	51.866666667
	° ’ ’’	=	51.52000000	2’		measured/estimated
			INCH2dec	±tol’’	METER
	b	=	4534.40	0.25	115.173760000	measured PetrieCH6section25
	2b	=	9068.80	0.50	230.347520000	measured
	h	=	5776.00	7.0*	146.710400000	measured/estimated
	d	=	7343.23	—	186.517925307	measured
	x	=	1404.41	—	35.672082653	not connected
	r	=	5938.81	—	150.845842653	not connected
	P	=	2027.05	—	51.487136856	not connected
	P/2	=	1013.53	—	25.743568428	not connected
	P/r	=	0.341322876	—	0.341322876	not connected
	k	=	7786.26	—	197.771051527	not connected
	R	=	0.617494323	—	0.617494323	not connected
	k0	=	—	—	—	not connected

*CheopsATLAS.htm#PCH6s25 — Petrie’s quote (high uncertainty)

-------------------------------------

Petrie CR — the ideal Flinders Petrie group measured Golden Section Cheops Rectangle Pyramid

—————————

PetrieCR: featuring Chepos Rectangle	°	=	51.827292373			aTan(1/√R)
	° ’ ’’	=	51.49382525	2’		GoldenSection
			INCH2dec	±tol’’	METER	geometric
	b	=	4534.40	0.25	115.173760000	¦ r(3–√5) ¦ h√ (–1+√5)/2 = h√R
	2b	=	9068.80	0.50*	230.347520000
	h	=	5767.85	0.32*	146.503285828	√ bd
	d	=	7336.81	0.40*	186.355058292	√ b² + h² ¦ r(–1+√5) ¦ b/R
	x	=	1401.21	0.08*	35.590649146	r – b
	r	=	5935.61	0.33*	150.764409146	(d+b)/2 ¦ r=1 ¦ (b/R + b)/2 = b(1/R + 1)/2
	P	=	2027.85	0.11*	51.507271317	b/(R+1/R) = b/√5
	P/2	=	1013.92	0.06*	25.753635658
	P/r	=	0.341640786	—		2/(R+1/R)(1/R + 1)
	k	=	7780.73	0.43*	197.630493458	b·k0 = √ b² + (d–P/2)²
	R	=	0.618033989	—		b/d = [–1+√5]/2
	k0	=	1.715933329	—		√ 1 + (½ +2/√5)²

Tolerance aspect:

*±0.50’’/9068.80’’ × INCH2dec’’ = ±0.tt’’ — as adopted from Petrie’s standard Half Pyramid base 4534.40’’ tolerance ± 0.25’’

-------------------------------------

rJ CR — the (Nov2017) TNED/Planck/Dmax/EarthMass discovered Golden Section Cheops Rectangle Pyramid.

4556.01: It is the rJCIRCLE CheopsRectangle (Cheops Pyramid) original (k = 198.572154778 M) with b=k/k0=4556.01’’.

—————————

rJ CR: rJCIRCLE:s Cheops Rectabgle	°	=	51.827292373			aTan(1/√R)
	° ’ ’’	=	51.49382525	2’		GoldenSection
			INCH2dec	±tol’’	METER	geometric
	b	=	4556.01	0.25*	115.722535004	¦ r(3–√5) ¦ h√ (–1+√5)/2 = h√R
	2b	=	9112.01	0.50*	231.445070008
	h	=	5795.33	0.32*	147.201338417	√ bd
	d	=	7371.77	0.40*	187.242994901	√ b² + h² ¦ r(–1+√5) ¦ b/R
	x	=	1407.88	0.08*	35.760229948	r – b
	r	=	5963.89	0.33*	151.482764953	(d+b)/2 ¦ r=1 ¦ (b/R + b)/2 = b(1/R + 1)/2
	P	=	2037.51	0.11*	51.752690960	b/(R+1/R) = b/√5
	P/2	=	1018.75	0.06*	25.876345480
	P/r	=	0.341640786	—		2/(R+1/R)(1/R + 1)
	k	=	7817.80	0.43*	198.572154778	b·k0 = √ b² + (d–P/2)²
	R	=	0.618033989	—		b/d = [–1+√5]/2
	k0	=	1.715933329	—		√ 1 + (½ +2/√5)²

*Tolerance aspect:

*±0.50’’/9068.80’’ × INCH2dec’’ = ±0.tt’’

-------------------------------------

h DIFF rJCR – PetrieCR:

0.698052589 M

27.482385374’’ ; 27.48’’ (±0.32’’)

Petrie CR¦b58 — an actual tolerated Flinders Petrie group measured Golden Section Cheops Rectangle Pyramid — »Agent58»

PetrieCR¦b58: INSIDE PETRIE CR — b associated: inside PetrieTolerances ± 0.25’’ from nominal 4534.40’’

58R√1600 = 4534.196575969’’, = 4534.20’’ — THE PETRIE SUFFIXES here HAVE NO rJ ASSOCIATED.

See also MiUNIT.

PetrieCR¦b16: MiUNIT calculated rJCR version MAIN CONSTRUCTION PLAN PYRAMID AGENT	°	=	51.827292373			aTan(1/√R)
	° ’ ’’	=	51.49382525	2’		GoldenSection
			INCH2dec	±tol’’	METER	geometric
	b	=	4555.88	0.25	115.719262691	¦ r(3–√5) ¦ h√ (–1+√5)/2 = h√R
	2b	=	9111.75	0.50*	231.438525381
	h	=	5795.16	0.32*	147.197175970	√ bd
	d	=	7371.56	0.40*	187.237700186	√ b² + h² ¦ r(–1+√5) ¦ b/R
	x	=	1407.84	0.08*	35.759218748	r – b
	r	=	5963.72	0.33*	151.478481439	(d+b)/2 ¦ r=1 ¦ (b/R + b)/2 = b(1/R + 1)/2
	P	=	2037.45	0.11*	51.751227536	b/(R+1/R) = b/√5
	P/2	=	1018.72	0.06*	25.875613768
	P/r	=	0.341640786	—		2/(R+1/R)(1/R + 1)
	k	=	7780.38	0.43*	198.566539706	b·k0 = √ b² + (d–P/2)²
	R	=	0.618033989	—		b/d = [–1+√5]/2
	k0	=	1.715933329	—		√ 1 + (½ +2/√5)²

Tolerance aspect:

*±0.50’’/9068.80’’ × INCH2dec’’ = ±0.tt’’

-------------------------------------

hDIFF PetrieCR¦b16 – PetrieCR¦b58:

0.700462629 M

27.577268865’’ ; 27.58’’ (±0.32’’)

CalculatingThePetrieMeasures:

PyramidDATA

From THE Mi-UNIT and the following rJ-CIRCLE connections

rJ/100R√16000 = 0.025400718 an automatic 0.0254 M unit if so rounded on the Planck Dmax mJ constant

√16000 = 5 · 2 · 2 · 2 · √2 · √5 = 5 · 8 · √2 · √5 = (58 – 18) · √2 · √5 = 40√10 = 5 · 8 · √10. All Golden Section terms.

also follows the two Cheops Rectangle associated Pyramid agents b58 and b16

See the specific basic Pyramid data in PetrieCP, PetrieCR, rJCR, Agent58 and Agent16.

The basic Golden Section factors

√16000 = 5 · 2 · 2 · 2 · √2 · √5 = 5 · 8 · √2 · √5 = (58 – 18) · √2 · √5 = 40√10 = 5 · 8 · √10. All Golden Section terms.

define these different agents through the Mi-UNIT definitions with their specific corresponding bPETRIE (4534.40±0.25)’’ value and its Petrie given tolerance. As such, and only as such, these Pyramid agents are legimit consultants in the work aimed at deducing the Petrie measured values from them — or not at all. It is all started from The rJCIRCLE.

— See further a first detailed example in CALCULATING THE Petrie values of the Cheops PYRAMID xyENTRANCE.

PyramidData ¦ PetrieCP ¦ bPetrieTol ¦ PetrieCR ¦ TolASP ¦ rJCR ¦ rJCRtab ¦ rJCRb ¦ hrJ ¦ rrJ ¦ kFACTORrJ ¦ hDIFFmain ¦ Agent58 ¦ Agent16 ¦ Pref ¦ CalTePEM

ExplainingGSPA: METHOD ¦ CalculatingThePetrieMeasures

EXPLAINING THE DIFFERENT GOLDEN SECTION CHEOPS RECTANGLE MATHEMATICS bd=h² PYRAMID AGENTS

Explain — HowSTART — PROVING THE CONTRACTED CONSTRUCT

While Petrie’s Cheops measurement (PetrieCP) have no fix and stable preference except the Petrie measured Cheops Pyramid base (4534.40’’ ± 0.25 ¦ PetrieCH6.s24) and his mentioned mean staircase masonry slope (aver. 51° 52’ ± 2’ ¦ @North 51° 53’ 20’’ ± 1’), the two new testing envelopings PetrieCR and rJ¦CR — within the Petrie given tolerances, otherwise we’re smoked — do have such properties: Same visual (GS) Ideal Golden Section Cheops Rectangle bd=h² pyramid. Only slightly different height from same top (hDIFFmain).

What does that situation suggest?

The situation suggests that IF the pyramid was SO intended — if, and only if — these two solid preference guiders and a marker (based on a careful original planning) WILL define a clear reference where Petrie’s measurement WILL coincide — practically excellent perfect. In other more clear words: Petrie’s measured values can be calculated exactly from the GS (resonant) matrix — within Petrie’s given tolerances — or not at all. That will be our test.

— We have already seen (EARTHrJCIRCLE ¦ rJ-CIRCLE) that there (already) is a profound VISUAL fit in the simple geometric paragons.

— But how close is it, and what can it clarify and elucidate?

General method:

We seek SIMPLE (»don’t get overly creative».. or: do so, and see where it leads ..) whole number solutions (as advised by the GS-body — compare Resolution217.

Explain more in detail:

While all of the Petrie measures pertain to »the upper pyramid»

Upper pyramid icons left, their half Pyramid bases — have Petrie’s assigned tolerance ± 0.25’,

respectively the original bPetrie 4534.40’’ and the defined and related associated Agent58:s 4534.20’’.

The upper Pyramid Icons relate the Petrie pavement (Pyramid Coordinate System) preference.

The lower Pyramid Icons relate also the Petrie pavement preference, but have a slightly broader and lower situated base (due to the testing EARTHrJCIRCLE, the rJ factor as the related k-factor); these two lower also have a tolerance aspect as here adopted from the Petrie half Pyramid base standard ± 0.25’’; as after the Tolerance Aspect length ± 0.43’’ on the rJ distance. However, their rJ-difference is only 0.221065826’’ — so safely still within the testing Petrie advised more narrow half Pyramid tolerance.

the one and only possible original building plan — if at all —

(the actual construction DRAFT AND PRECISE MATHEMATICAL DRAWING)

must relate to the slightly larger testing EARTHrJCIRCLE Golden Section Cheops Rectangle Mathematics’ rJCR pyramid slightly higher, lower founded rJCR pyramid.

— Everything else is out of the question.

— Why is that?

— The only Pyramid Agent capable of defining (Resolution 217) a close (99.9999832%) match to the Petrie specified half Pyramid base 4534.40’’, is, what we know, the EARTHrJCIRCLE Cheops Rectangle Golden Section Matrix System equivalent. So, the potential constructors would have that premise for us to deduce: Petrie’s base accurately defined — along with a corresponding rJCIRCLE high precision numerically related MiUNIT 1 INCH = 0.0254 M. Without these preferences, the Petrie measured comparing calculated data will not respond. Not even close.

— Why the two Pyramid agents?

As stated: Without a bPetrie 4534.40’’ definition we’re done. The only one here known preference (Resolution 217) to realize that is the slightly higher/deeper — same top — Cheops Rectangle Golden Section Pyramid — having the k=rJ-circle radius: the EARTHrJCIRCLE. Based on that premise, an assisting Agent58 appears related and deduced from the constants with a b-value within the bPetrie 4534.40’’ tolerance ± 0.25’’: the Agent58 (4534.20’’). It assists a rJCR spouse Agent16 in presenting all the actual Petrie measured values — or, not at all. See MiUNIT, CALTEP and Resolution 217.

THE ROUTE IN THIS PRESENTATION BY CONCRETE EXAMPLES:

———————————————

Resolution217 ¦ DETERMINING/testing THE CORRIDOR HEIGHT ¦ How Petrie Calculated THE ENTRANCE ¦ The height of the 19th course ¦ CONSEQUENCES ¦ Determining the B point

Practicing a Horizontal Offset push — Petrie’s measured tunnel crossing B-point defined

ExplainingGSPA

CaseHistory:

SHORT CASE HISTORY

CaseHistory:

THE SIMPLE TEST THAT STARTED IT ALL ..

2017: How it started ..

BASED ON THE 1881-1883 FLINDERS PETRIE THOROUGHLY MEASURED CHEOPS PYRAMID

————————————————————————————————————————————

THE ideal geometrical Cheops Pyramid 51.82729237° CHEOPS RECTANGLE (CR) connection

bd = h²

with its Golden Section geometry paragon points out a significant (Queen's Chamber, k) center (P/2) on the inner projected hollow Cheops Pyramid content.

———————————————

GoldenSECTION ¦ R = b/d = [–1+√5]/2 = 0.618033989 = 2/(1+√5)¦ P/2 : P = b/[ R + 1/R ] = b/√5

Half pyramid base (b) and the pyramid height (h) give the pyramid side (d) as

d = √ b²+h²

Raising d as a vertical (y), removing the bottom P/2 distance, defines a k-center sloping triangle side (rJ=k) as

k = √ b² + (d – P/2)²

with a tangent (k0)

k0 = √ 1 + (½ +2/√5)² = (d – P/2)/b = k/b = 1.715933329 so that (b=k/k0)

k = k0b with the ideal 51.82729237° Golden Section paragon pyramid CR-value

k = 197.630493458 M receives a corresponding 51.86666667° Flinders Petrie (1881-1883) measured (no pyramid casing)

k = 197.771051527 M

On 1Nov2017 a simple calculating TNED test was made taking the neutron circumscribed block density Dmax on the present Earth mass (mJ = 5.975 T24 KG). Its corresponding Dmax Earth radius r(Dmax) = (h/c0)(3mJ/π[mN]⁴)^1/3 (constants in the link below) is

———————————————

rJ(Dmax) RITa

k = 6.62559E-034/299792458*(3*5.975E+024/(PI()*(1.0086652*1.66033E-027)^4))^(1/3) ¦ OpenOfficeCalc

k = 198.572154778 M = k(rJ)

k and k0 factor

k0 = 1.715933329 = √ 1 + (½ +2/√5)² — fix geometric for the Golden Section bd=h² CheopsRectangle

The difference in the computer screen scale is not visible: the k-circle touches the (b.d)-rectangle corner on the exact pixel. Exactly. 172.411 pixels respectively 172.384 pixels. 172.

———————————————

rJCIRCLEillustrated1Nov2017

We were on.

Further investigations deepened the suggested connections.

— Main purpose: find any argument to disclaim the suggested coherences. Still searching.

— WHILE we search, data is collected and archived.

CaseHistory ¦ TST ¦ Rref ¦ rJref ¦ k0ref

TheUNITS: CaseHistory ¦ Resolution217

Arithmetical laborations on seeking simple integer solutions — a simple construct

4534.399236463 ¦ bPetrie: 4534.40’’ ± 0.25’’

DETERMINING THE bPETRIE FROM THE rJ

THE UNITS — Why 217?

The short version: N = r/(H – [h = bPETRIE/√R]) = 5963.89/(5795.33 – X¦2Decimals) = LowestDecimalPossible;

Highest possible decimal precision — Highest Possible value HP:

X = r/(H – [h = bPETRIE/√R]) ;

HP = 1/(X – INT[X]) ; HP = 130.3980100; HighestPossible

bPETRIE N = INT[X]

———— ———————

4534.20 215.0172581

4534.30 216.0078784

4534.40 217.0076688 bPetrie(PetrieCH6.25)

4534.50 218.0167574

4534.60 219.0352743

N = 217 = INT[X]:

PetrieCR versus rJCR only, no Pyramid Agents involved:

————————————————————

Unrelated numerical Solution — use the 4th and 11th prime product 7 · 31 = 217: = 109 + 108 = 109 + 2•3•18

bPETRIE = [h – r/217]_rJ · √R = 4534.399236463’’ = 4534.40’’.

= [5795.3282841311’’ — 5963.8883839628’’/217][0.7861513778] = 4534.3992364633’’

4534.40/4534.399236463 = 1.000000168, inv. 0.999999832: 99.9999832% match.

hDIFF = (r¦rJ)/217 = 27.483356608’’ = 27.48’’ ;

— bPETRIE(PetrieCH6.25) = 4534.40’’ it is — ± 0.25’’.

WE SHOULD SAY — AS THE rJCIRCLE VALUE COMES FROM ONLY NATURAL CONSTANTS — THAT WHATEVER APPEARS IN EXPLICIT simple WHOLE NUMBER OCCASIONS IN THIS COMPLEX, IT IS APPARENTLY NOT A PRODUCT OF A MANS HAND: »ARITHMETIC RESONANCE».

— NO MAGIC. NO MYSTERY. JUST LIFE. [ Which, of course, is the greatest Magic Beauty Wonder of all ..].

WHAT WE KNOW: WITHOUT THE PRECISE rJCIRCLE PREFERENCE, SUCH A HIGH SCORE RESULT IS IMPOSSIBLE: THE ENTIRE PETRIE DATA MATCHING CALULATIONS IN THIS PRESENTATION DEPEND ON THAT PREFERENCE AND ITS CONNECTION TO THE GOLDEN SECTION MATRIX SYSTEM.

Fully related answer — TheUNITS:

A bPetrie ————————————————————— a visual top BASE preference PetriePAVEMENT

from where to make Absolute [Petrie] measures.

The actual in real stone physical construct base.

B rJCR —————————————————————— absolute ground pyramid rJ CIRCLE Pyramid base: The DRAFT construct:

Hidden from any direct visual investigation.

The TNED related physics and mathematics has no representation in modern quarters:

The EARTHrJ CIRCLE Dmax complex — Cheops Rectangle

PetrieCR versus rJCR only, no Pyramid Agents involved:

————————————————————

Explain — scenery ¦ rJCR results ¦ CALTEP :

The constructors took a numerical scan (ending on a heigh offset: rJCR minus PetrieCR, = 27.48’’ rounded from 27.483356608’’, CheopsATLAS2024.ods, Tabell5 L22) — beginning from (B, fully related) the rJPyramid bottom — advancing upwards to A, taking an A level pyramid base only on a one decimal .x0 rounded inch value (the candidating bPetrie values xxxx.n0).

Constructor’s Task to be solved:

— We have to set a standard measuring platform above the rJCircle Pyramid base — if any future tourists will have a chance of getting a deductive clue to our construct, and what it proves. So:

— Is there, in the named scan, a close to a whole number solution for a (hDIFF = B – A) slightly higher than our basic B, so defining an ideal Petrie CR pyramid with a slightly less height Top.A than our Top.B original rJ CR pyramid? (The overall result must be based on one decimal rounded inch .x0-measure already from the start, see TheMiUNIT).

Result:

— Yes. There is such a whole number: 217.

— See the (CALTEP) bPetrie Determination:

[h – r/217]_{_rJ}_{· √R
= 4534.399236463’’
, = 4534.40’’:}

X = r/(H – [h = bPETRIE/√R]) ; HP = 1/(X – INT[X]) ;

HP = 130.3980100; HighestPossible

X = 217.0076688, INT[X] = 217 is our number.

A—B = 27.483356608’’ = 27.48’’ ;

bPETRIE = 4534.399236463’’, = 4534.40’’ [future tolerance depends on magnitude of erosion]

Precision:

99.9999832% — COMPLETELY IMPOSSIBLE TO MISS, PROVIDED A SERIOUS APPROACH

4534.399236463/4534.40 = 99.9999832%.

4534.40’’ it is: see further MiUNIT:

rJ/100R√16000 = 0.025400718 an automatic 0.0254 M unit if so rounded on the Planck Dmax mJ constant

1’’ = 0.0254 M. And so it is [The actual Academic History behind this present equality is not further known here].

— It was originally so determined — unless the reader has found another solution, apparently factually — impossible to miss with a future enough sophisticated (Petrie 1881+) optically measuring instrumentation.

Consequential Mathematics (COMA — The Iterator): It is — or it isn’t.

Basic CPU handling routiines.

FirstPROOF: TST ¦ RIW

FIRST rJ-CHEOPS PROOF

Knowing we are safe and sound on the right course

TheMiU: FirstPROOF

provided rJ-guided — in the Cheops Rectangle-geometrics:

The rJCheopsRectangle contains a numerical »automatic meter-(1)inch(0.0254)» unit

WITH A GIVEN 1 INCH = 0.0254 M DEFINITION AND THE [1881] PETRIE DEFINED CHEOPS PYRAMID HALF BASE 4534.40’’ FROM Earth rJCIRCLE AND the GOLDEN SECTION MATRIX SYSTEM [the simple basic »Cheops Rectangle» connection bd=h²], the rest of the unit system parameters become automatically present through a universal physical MKSA system: Meter Kilogram Second Ampere, independent of chosen numerical standard. That vindicates, and certifies, a time [and culture] independent universal physical standard. And so: it is proven.

Once a corresponding MKSA unit system has been established, its internal quantities between different standards will have no influence on the actual mathematical physics: any such unitive Distance-Mass-Time-Current unit system will do.

THE MiUNIT — METER-INCH

rJ/100R√16000 = 0.025400718 an automatic 0.0254 M unit if so rounded on the Planck Dmax mJ constant

2 · (7336.81’’=d=bPETRIE/R) · R^18 = 2(4534.40’’/R) · R^18 = 2.539568549, rounded 2dec = 2.54 cM = 0.0254 M = 1’’;

2.54/(2· R^18) = 7338.059780201’’, = 7338.06’’ ¦ PetrieTol ±40’’ — 7336.81’; min 7336.41’’ — this 2.54 definition is not valid.

— This was the (2017) original onset to a suggested definition of the MeterInch Unit.

— However, as seen, its applied precision does not really connect the Petrie specified tolerances. Instead, as below (Jan2024), taking the view from the rJ-CIRCLE pyramid, the Petrie tolerances are preserved — and a fully defined Petrie value explanation appears. The numbers 18, 58 and 16000 are explained as partial factors inside the Golden Section R = [(√5)–1]/2 geometrical mathematics:

√16000 = 5 · 2 · 2 · 2 · √2 · √5 = 5 · 8 · √2 · √5 = (58 – 18) · √2 · √5 = 40√10 = 5 · 8 · √10.

One INCH (1’’) equals 0.0254 Meter (very close to rJ/100R√16000); One Meter (1M) equals 1/0.0254 = 39.37007874’’.

Precision: 2.5400000 / 2.5400718 = 99.9972%, inv. 1.000028278.

The MiUNIT in this (Jan2024) 2020-complementary presentation

(not mentioned in the 2020 version)

rJ/100R√16000 = 0.025400718 an automatic 0.0254 M unit if so rounded on the Planck Dmax mJ constant

is however still on the same profile as the one from the 2017 original:

2 · (7336.81’’= d = bPETRIE/R) · R^18 ; b/R = d ; b/d = R ;

= 2(4534.40’’/R) · R^18 = 2.539568549, rounded 2dec = 2.54 cM = 0.0254 M = 1’’;

Similar to 1/100th

= (6·18 + 8)/100 · R^18 · 40√10 = 0.025394546 ≈ 0.0254 (M) = 1 INCH

= (108 + 8)/100 · R^18 · 40√10 = 0.025394546 ≈ 0.0254 (M) = 1 INCH

= 116/100 · R^18 · √16000 = 0.025394546 ≈ 0.0254 (M) = 1 INCH

= (217 – 101)/100 · R^18 · √16000 = 0.025394546 ≈ 0.0254 (M) = 1 INCH

Primes 7 31 101:

7 • 31 — 101 =116

Special:

»Trivial»:

There is at least one special equivalence between a defined negative x-coordinate value (xBhigh -1499.7016293661’’ line crossing DeLIC trigonometric evaluation, tunnel cross) and a same positive value y-coordinate from the GS system matrix details

y = 1499.7016293661’’ = b16(½ + R³)/√5 = 4555.88(½ + 0.2360679775)/2.2360679775

= P(½ + R³) = 2037.4499030105 × (0.7360679775)

= b16(1/2√5 + R³/√5) as GS deduced [ Queen chamber level / North Gallery level details]

SEE DETAILS IN The5.

CheopsATLAS2024.ods Tabell2 A55+

— xBhigh — as calculated through the common line crossing equation DeLIC.

— »Comparing a traditional solution with explicit Golden Section System Matrix solutions» — example.

— Same value: [P=b16/√5](½ + R³) = [b16 = 4555.8764838817](1/2√5 + R³/√5)

— »Discovered by arithmetic identification». [BUT IT IS TRIVIAL ..]

• Proof (trivial):

— Given the EarthrJCIRCLE MiUNIT 1’’ = 0.025400718 M, and the Resolution 217 definition of the Petrie measured Cheops Pyramid half base 4534.40’’ with a 99.9999832% certain confidence, connecting the Golden Section matrix system solutions Cheops Rectangle bd=h² mathematics, it would be rather sensational if we could find one Petrie measured detail in the Cheops Pyramid complex, that does NOT apply. Don’t forget to update.

• Compare: EntrancePETRIE — proving the Golden Section connection.

These (additional Jan2024) results suggest that the present academia idea of the origin of the Cheops Pyramid

based on the idea of a primitive human technology : no PLANCK CONSTANT, no LIGHTSPEED IN VACUUM, no EARTH RADIUS ON NEUTRON MASS DENSITY, no ATOMIC MASS UNIT

will vaporize — be proven so — to exactly nothing. We welcome a disclaiming — related — argument: Still searching ..

Consequential Mathematics — COMA

CONSTRUCTORS’ CONSIDERATIONS — basic math:

Compare — 1’’ = 0.0254 M: whole number simple plan solutions

In the Golden Section GS numerical whole number operators

THERE IS »AN AUTOMATIC Meter-INCH» UNIT IN A NUMERICAL (PREFERABLY WHOLE NUMBER) TREATISE ON THE CheopsRectangle-GEOMETRICS — provided rJ-guided:

rJ/100R√16000 = 0.025400718 an automatic 0.0254 M unit if so rounded on the Planck Dmax mJ constant

= rJ/4000R√10 ;

(rJ) = 100(0.0254)R√16000 ; (rJCR¦b16)

= 198.566539706 M = (18·222+9/2)(0.0254)R√10 — »TheConstruct» ±0.5’’

-------------

rJmax = 198.57924 ¦ 198.5665 + 0.0127

rJ = 198.57215 .............. OK: 198.566539706 + 0.005615072 ¦ + 0.221065826 ’’

rJmin = 198.55384 ¦ 198.5665 – 0.0127

———————————————

CUV — The INCH factor: vindicating the two pyramid levels, and the different units — within the Petrie tolerances

PROVIDED THE INCH UNIT WAS KNOWN .. OR VALUES WERE SO ROUNDED TO FORM SUCH A METER UNIT 1 ’’ = 0.0254 M.

— We use the Petrie given whole pyramid base (2× 4534.40 = 9068.80)’’ ±0.5’’ tolerance for the entire (7817.80’’) rJ measure.

(±0.43’’ if we use the more regular Petrie associated ToleranceAspect: max 198.583072, min 198.561228).

√16000 = 5 · 2 · 2 · 2 · √2 · √5 = 5 · 8 · √2 · √5 = (58 – 18) · √2 · √5 = 40√10 = 5 · 8 · √10.

PetrieCR¦b58 = 58R√16000 = 4534.196576’’, = 4534.20’’ ;

16000 = [(PetrieCR¦b58)/(58R)]²

TheUNITS ¦ FullyRelated ¦ Explain217 ¦ FirstPROOF ¦ MiU ¦ Special ¦ INCHref ¦ rJprim

TheFACTORS:

The58factor:

Connecting

SECOND rJ-CHEOPS PROOF

The 58 factor .. 5 · 8 + 18 = 58 ..

b¦PETRIE/rJ = 4534.40’’/198.572154778 M ; apparently very close to 0.58:

= 0.580009620 ; rounded simple whole numbers only

= 58/100

= (5 · 8 + 18)/100 ;

-------------------

b¦PETRIE = rJ(58/100)

= 4534.324794148’’ ; this value is within the Petrie tolerance 4534.40’’ ± 0.25’’

-------------------

ALL VALUES INSIDE THE PETRIE GIVEN TOLERANCES ARE LEGIT AGENTS IN FINDING THE PLAN OF THE BUILDING.

.. no ..... yes ..... no ..

TheUNITS ¦ bPETRIE 4534.40’’ ±0.25’’ ¦ max 4534.65’’ — min 4534.15’’

ExactComparingBasics — redundant NOT REALLY A unit defining PROOF

------------------------

Given (PetrieCH6.25) the Petrie INCH measuring standard with two rounded decimals, type half pyramid base

bPETRIE = 4534.40’’, we (first GU ¦ MiUNITintro ¦ ExactComparing — MiUNITcomparing) found

The 18 factor PetrieCR

2 · R^18 · (4534.40/R) = 2.539568549 ; rounded [ multiple = 1 ]

= 2.54 (cM) ; the rounding works exact up to multiple 11: 27.94’’

b/R = 4534.40/R = dPYRAMID ; the ideal GoldenSection Petrie pyramid wall length

= 7336.81’’ ; 186.355058 M — could not be Petrie measured, no casing

Planck constant TNED related NeutronSquare atomic mass defect top scale: 18 e: »The Entire Opening».

THE ENTRANCE:

Roof 18 (FLOOR 19) — the stone masonry (ActualCheops) levels, see PETRIE BREAKS THE ENIGMATIC ICE.

Basically the main (rJCR) mathematical »enigma» behind the inner details is solved here.

------------------------

The 16 factor √16000

CUV

4534.20 PetrieCR¦b58 58R√16000.0 = 4534.196576 ; = (rJ’CR¦b16=198.5665M) · 58/100 = (100R√16000)k0

4534.32 Petri2CR¦b58 58R√16000.9 = 4534.324098 ; = rJ(58/100)/0.0254

4534.20 PetrieCR¦b58 = rJ(58/100)/(rJ/100R√16000 = 0.025400718) ; = 58R√16000 = 4534.196576

4534.20 PetrieCR¦b58 4534.196576 ; = rJ(58/100)/0.025400718

√16000 = 5 · 2 · 2 · 2 · √2 · √5 = 5 · 8 · √2 · √5 = (58 – 18) · √2 · √5 = 40√10 = 5 · 8 · √10.

IN LABORATING WITH THESE TIGHT, NEAR AND RELATIVELY CLOSE VALUES — ALL WITHIN THE PETRIE ADVISED TOLERANCES, otherwise we are smoked — WE SEE THAT THERE ARE SEVERAL OFFERING OPENINGS IN COMPARING AN IDEAL PETRIE GOLDEN SECTION PYRAMID PetrieCR WITH THE rJCR TNED-PLANCK-Dmax RELATED DITTO.

THE PETRIE MEASURED CHEOPS PYRAMID BASE 4534.40’’¦ 4534.32’’¦ 4534.20’’ CAN APPARENTLY BE CALCULATED FROM THE DEFINED (GS) BASE GOLDEN SECTION PYRAMID’S CIRCUMSCRIBED (Queens chamber centered) rJ-CIRCLE — THROUGH BASIC GS WHOLE NUMBER EXPRESSIONS ON THE COMPONENTS TYPE 2, 5 AND √5 SOLUTIONS, (Powers of) THE GoldenSection Constant R, AND ON A (most precise) GENERAL METER-INCH DEFINED CONNECTION (ROUNDED BY A PETRIE INCH STANDARD of 2 DECIMALS):

rJ/100R√16000 = 0.025400718 an automatic 0.0254 M unit if so rounded 0.0254 M = 1 INCH by the constructors of the building on the Planck Dmax mJ constant rJ

THE FACTORS: 16 18 58 ¦ The58 ¦ bPETRIE ¦ The18 ¦ The16

CALTEP: ChEX — CALCULATING THE PETRIE VALUES

CheopsATLAS2024.ods Tabell2 A1+

28Jan2024

WE EXPLAIN AND FOLLOW THE RESULTS IN THIS PRESENTATION

exemplified 14 FIRST DIRECT CALCULATED PETRIE VALUES

BASED ON PYRAMID AGENT16

PROVING GS CHEOPS PYRAMID GOLDEN SECTION MATRIX SYSTEM

One single independent triangular trigonometric connection

explains how bPETRIE 4534.40’’ ± 0.25’’

PETRIE CHEOPS PYRAMID

MEASURES UNITES GOLDEN SECTION MATRIX SYSTEM

MATHEMATICS CALCULATIONS

exemplified [14] FIRST DIRECT CALCULATED PETRIE VALUES BASED ON PYRAMID AGENT16 —

rJ’ = 100R√1600 = 7817.580303394’’ = 198.566539706 M AGENT16

b’ = rJ’/k0 = (100R√1600)/√[(2/√5 + ½)² + 1] = 4555.876483882’’= 4555.88’’

TROUGH THE PETRIE PYRAMID HALF BASE DEFINING RESOLUTION 217: 7 • 31 = 217 = 116 + 101 = 108 + 8 +101 = 2•3•18 + 109[PRIME]

bPETRIE = [h – r/217]_rJ · √R = 4534.399236463 ¦ = 4534.40’’

= [5795.3282841311’’ — 5963.8883839628’’/217][0.7861513778] = 4534.3992364633’’

bPETRIE = [b/√R – b(1/R + 1)/(2·217)] · √R

bPETRIE = b[ 1 – (1/R + 1)(√R)/(2·217)] = 4534.399236463’’; match to Petrie’s 4534.40’’: 99.9999832%

b = rJ/k0 × 0.0254 ; rJ = 198.572155 M =

= 6.62559E-034/299792458*(3*5.975E+024/(PI()*(1.0086652*1.66033E-027)^4))^(1/3) ¦ OpenOfficeCalcCELLcode

MiUNIT: rJ/100R√16000 = 0.025400718 selected rounded unit: 1 INCH = 0.025400000 M

It is fundamentally doubtful the Ancient Egyptians knew this — without advanced support from already enlightened.

14 FIRST direct article linked CONSECUTIVE 14 — RECURRING CONSTANTS AT THREE SITES — recursive simple whole numbers at several sites: 108 = 2 • 3 • 18 ...

bPETRIE 4534.40 ¦ eCh 47.31 ¦ h 37.97 ¦ xG 4228.00 ¦ yG 1181.23 ¦ yA 668.15 ¦ Pangle 26° 31’ 17.5’’ ¦ Hangle 26° 28’ 58.55’’ ¦ yB 172.90 ¦ xB 1570.70 ¦ yPG 1658.17 ¦ PC 4534.20 ¦

dSTEP 35.01 ¦ yKING 1693.17 ¦ and further in this presentation ..

ALL VALUES PCS WITH REFERENCE TO THE Pyramid North base tip [ on a remaining casing stone ] PETRIE PYRAMID PAVEMENT:

y=0, with pyramid x-valuens leftwards as negative extension [Petrie gave these positive values]

Beginning from the entrance — ending ideally on the original casing, of which only a few base stones remain today

CALCULATING THE PETRIE VALUES

CALCULATING THE Petrie values of the Cheops PYRAMID — Petrie’s 19th Course (Petrie Breaks The Enigmatic Ice)

PetriePyramidAngle: CALTEP

Petrie, as quoted on the Cheops Pyramid Angle:

This Wikipedia Image has been Sharpened and bottom [ merged ] contrasted

to enhance the contour and contrast [ and brightness ] in the foreground parts.

WIKIPEDIA Cheops Pyramid [ 29Jan2024 ], Casing stones.

Credit: Jon Bodsworth — egyptarchive.co.uk, Copyright

PetrieCH6.25:

” On the whole, we probably cannot do better than take 51° 52’ ± 2’ as the nearest approximation to the mean angle of the Pyramid, allowing some weight to the South side.”.

PetrieCH6.24¦32 (WholeQuote): ” N face, by entrance passage mouth ..

.. 51° 53’ 20’’ ± 1’ ” ;

= 51.888888..°.

The measurements of the Pyramid sloping angle only had the few remaining casing stones at the pyramid base. Petrie concludes (in giving a scale of weight/importance

0-10 for the different measuring parts):

” From all these considerations the above weighting was adopted. It is clear that the South face should not be included with the North, in taking the mean, as we have no guarantee that the Pyramid was equiangular, and vertical in its axis.”.

;

PetrieCH6.32.r56: ” entrance passage angle at mouth 26°29’ ± 1’, entrance passage height 47.26”.

PetrieCH6.32; ” mean doorway height ¦ by measuring courses ¦ 37.94 ± .17”.

PetrieDataSourceREF.

The Cheops Pyramid is a GS Golden Section Matrix System Construction, no doubt — complex mathematics and physics: Petrie’s measures GS calculated

RADIOCARBON DATING ON THE STONE MASONRY MORTAR SETTLES THE DATING ISSUE OF THE CHEOPS PYRAMID: 2 871 – 2 604 BC

THE WIKIPEDIA ARTICLE (Great Pyramid of Giza, alias our Cheops Pyramid [the ancient Greek name]) has a section named Radiocarbon dating. It states seemingly definite compelling evidence on the dating of the stone masonry edifice, The article says

” Mortar was used generously in the Great Pyramid's construction. In the mixing process ashes from fires were added to the mortar, organic material that could be extracted and radiocarbon dated. A total of 46 samples of the mortar were taken in 1984 and 1995, making sure they were clearly inherent to the original structure and could not have been incorporated at a later date. The results were calibrated to 2871–2604 BC.”

That information was not observed in this production (2017+) until now (29Jan2024). The Wikipedia info above makes the presentation of the calculating results in this, and the previous parts, even the more interesting (extendingly extremely so very much more: scenario below). The observed lapse (the Glaciation Arguments) between — some at most 15 000 BC to 3 000 BC — has now received a new, stronger attention (NorthAtlanticGlaciationQuotes);

ASSEMBLY SCENARIO:

A sophisticated computer controlled system of air borne robots assembled the building in max 67 days. Tell me I’m a liar:

ATLANTIS GEOLOGY FRAGMENTATION urges a geologically independent technological platform: The Atlans builds Large Tech Plants (LTP) situated in high altitude, high above Earth ground: permanently parked (Consequential mathematics). Once established — autonomous robotics maintenance: clean energy from E=mc² — the parking has no time limit: perfectly clean energy directly from matter (TNED — basic fundamental knowledge NEVER INCLUDED IN PRESENT ACADEMIC COSMOLOGICAL IDEAS on the true nature of the atomic universe: Planck constant, The Neutron. knowing that the atomic nucleus has an integrated current trap

THE NUCLEUS IS A CURRENT REGULATED DEVICE, which can dissolve the entire nucleus into clean mc² energy — as sometimes happens ±e pair annihilation naturally in very strong atmospheric discharge, see TGFintro). No physical aspect can destroy That Culture, once realized. So, continuing the scenery on consequential mathematics: LTP has smaller MigrationShips (MS), frequently visiting Earth ground stations — for educational/mission, food and general material provision and maintenance purposes. But: The non Atlantis Earth bound populations develop slow (and sees the Atlantis people as “gods” — while millennia passes); A growing egoistic, selfish and violent and power greedy mentality develops among the less educated (THE UGLY SIDE OF THE INNER HUMAN NATURE THAT ONLY KNOWLEDGE CAN CONQUER);

— Around some 5000ya (3000BC), the remaining Atlantis humans (here named Atlans) realizes a coming end:

— Either we must destroy what is left of our original high tech Atlantis. Or: give the E=mc² power tech machinery to these lovely and very beautiful Earth ground bound growing bald forest cutting Ego Suckers [Elucidating the noted situation]

— safely destroying humanity in total — which we won’t. So: Let us build Reminders, Pyramids (Cheops Pyramid), for a far future generation to sough out, in better times with better provisions for the love of knowledge than this present of ours. After assembly: We set The Timer, use our MS:s to go down to Earth ground a last time, leaving our LTP:s self directing with our MS:s to self destroy on travelling into the Sun. We leave not one itty bitty tiny no single trace of our High Tech culture — except in the type Cheops Pyramid (TNED, rJCIRCLE).

— Now. reader (the final countdown): tell me I'm a liar — all ancient history problems solved, down to the last atom, unless disclaimed.

— The previous scenery (here in UH) has taken the view that the Pyramids already stood there at the time of the beginning of the early Egyptian (and Mesopotamian, and Sumer [and Indus]) civilizations. Some of the textbooks on the early civilizations date the birth of the Egyptian (explained as ”sudden”) civilization around 3 000 BC. Comparing Quotes in: CameronQuote, SCENARIO, Early Civilizations.

— With ”The Mortar Dating Argument”, a »Third Alternative» has opened, possibly (or not at all); The specification ”2 871 BC” as a most remote date (provided exact dated) would — then — (definitely) mark the actual (never answered question on the) birth of the (often sudden termed) beginning of the Egyptian civilization.

Or as Cameron puts it:

— ” But the troublesome is that it seems to have originated suddenly.”.

— The Suddenly Aspect then takes an even more concrete contour on the most early mortar radiocarbon dating: not farther back than 2 900 BC. This presentation proves once and for all that the Egyptian culture or any other early human civilization as we know them, did not have the provisions in physics and mathematics to realize the geometry of the building — as it is exposed and unveiled in this general comparing test. So, by that standard unless disclaimed: Explaining History has taken a great leap ahead. Also suggesting: The Glaciation Arguments do urge a deeper investigation: NorthAtlanticGlaciationQuotes.

Testing method — rJCIRCLE Golden Section caculated values versus Petrie measured

———————————————————————————————————

Similar to ChEX as explained in METHOD: Projecting the GS (GoldenSection) matrix geometrical body over our PetrieCP given measured Cheops Pyramid, we search/scan for structural congruities. It seems we have 7+1 (F) basic points (The7: KGLHBMA) on the GS body’s ARCtan½ line. Using the GS body fractal matrix circle-square alignments, we seek such aligning reference xy-points to calculate the values for all significant points. Then we take it further from there, testing if the results have any further lead — which they definitely have, indeed.

See the appending separate section in The7BEGIN and the following. We use a simple (DeLIC) line crossing trigonometric connection by which we receive xy-point values where crossing lines need a solution. Pyramid SCALE: Half Pyramid base (bPetrie 4534.40’’) equals 100 pixels. The following text will use and relate the results from The7.

EntrancePETRIE: PetriePyramidAngle

HOW PETRIE CALCULATED THE ENTRANCE — we have no record of that, only the actual trigonometric triangular mathematics

rJCIRCLE GOLDEN SECTION MATHEMATICS INCORPORATES PETRIE MEASURES

SecondResult: — TheTHICK19th: FirstResult ¦ CALTEP

Equations in PREFIXxSIN ¦ AsDeduced :

THE ONE SINGLE TRIGONOMETRIC CONNECTION

h = e cosA/cos(A+B) ¦ Deduction ¦ PREFIXxSIN

e = h cos(A+B)/cosA ¦ e/h = cos(A+B)/cosA ¦ cos(A+B) = (e/h)cosA

(h/e)cos(A+B) = cosA ¦ acos[(h/e)cosΣ°] = acos[cosA]

Σ° – (acos[(h/e)cosΣ°] = A°) = B° ; Σ° – B° = A° ¦ iterative solutions

cos(Σ°) – (e/h)cosA = 0 ; Σ° – A° = B° ¦ iterative solutions

UNITES PETRIE’S MEASURED CHEOPS PYRAMID WITH (GS)

CHEOPS RECTANGLE GOLDEN SECTION

MATRIX SYSTEM:

BUT NON THE LESS, EVERY PETRIE CHEOPS PYRAMID MEASURED DETAIL MUST BE PROVEN CONNECTED TO THAT MATRIX SYSTEM QUANTITIES — WITHIN THE PETRIE STATED TOLERANCES — BEFORE A TRUE AND GENUINE RELATIONSHIP CAN BE STATED AS REAL STEEL TRUE (C19thITERATED).

— »We are just warming up».

h = e cosA/cos(A+B) ¦ Using the ChEX result

e = h cos(A+B)/cosA ¦ e/h = cos(A+B)/cosA ¦ cos(A+B) = (e/h)cosA

eTUNNEL 47.3055758’’descending tunnel parallel height, value fron FirstEX

Result:

Illustration corresponding to Petrie’s PlateXI.4

PetrieCH6.32e :

PetrieCH6.31+;

” mean doorway height ¦ by measuring courses ¦ 37.94 ± .17”;

Petrie Provisions measured e A B — measured h — never what we know mentioned as calculated

e = 47.26” (± 0.17)

A = 51° 53’ 20’’ @PyramidNorth, PetrieCH6.32.r56

B = 26° 29’ ± 1’ PetrieCH6.32e as quoted

h PETRIE h = 37.94’’ ± 0.17’’ PetrieQuote19th

PetrieCH6.32r31¦2;

” mean doorway height ¦ by measuring courses ¦ 37.94 ± .17”

rJCR Provisions calculated e KNOWN A B Golden section matrix system Cheops Rectangle math from bd=h² — calculated h

e = 47.31” ¦ 47.3055758’’

A = 51° 49’ 38.2525’’ = ARCtan(1/√R)

B = 26° 33’ 54.1842’’ = ARCtan½

h rJCR h = 37.97’’ ¦ 37.9658061814” — approved: within Petrie’s stated tolerance

CHECKING PETRIE’S SPECIFIED h THROUGH THE TRIGONOMETRIC EQUATION given eAB:

h PETRIEcalculated h = 37.96’’ ¦ 37.9640039644”

Course19th: ResSEC

CheopsATLAS2024.ods Tabell1 A54+

The rJCR candidate share values well accepted inside the Petrie given tolerances (± 0.17” quoted below).

— With both angles AB known and the tunnel height e the fourth horizontal parameter h can be calculated as shown above by the trigonometric h-connection.

Given the fix metrics of course h and sloping tunnel e, the connecting angles AB can have variable values independent of the fix he quantity. As one set of these independent AB angles apparently connects to the Golden Section Matrix system, a principle bound connection already exists to any other he preserving AB set.

— However. Also all other details of the edifice need be proven Golden Section matrix connected by explicit alike mathematics — if a true definition will hold.

— But what we know: Petrie never mentions any calculation of the h-parameter, only the statement

PetrieCH6.32r31¦2;

” mean doorway height ¦ by measuring courses ¦ 37.94 ± .17”

— It appears that Petrie does not use the triangular connection SecondResult at all. This we can settle by using the triangular equation in the following manner:

Σ° – (acos[(h/e)cosΣ°] = A°) = B° ; Σ° – B° = A° ¦ iterative solutions in PREFIXxSIN

— Inserting Petrie’s measured he values 37.94 and 47.26 together with Petrie’s stated descending tunnel angle B = 26° 29’, allows us to iterate up the B angle value.

That is what a Petrie inevitably land surveying trigonometric technique would have had to observe — Petrie’s corresponding Plate XI as ”(CASING RESTORED)” —

PetrieCH6.32e :

in his corresponding and concluding statement (over the above)

51° 53’ 20’’ ± 1’ (corresponding to Petries specification on the North pyramid wall PetrieCH6.s24):

C19thITERATED: C19th

CheopsATLAS2024.ods Tabell2 Q19+ — PROVING A never observed mathematical PETRIE CONSOLIDATED CONNECTION TO the GS GOLDEN SECTION MATRIX SYSTEM SOLUTIONS

— Iterative Method (Equation): We add or subtract numbers to the A+B cell (with Enter after each change) with purpose of nullifying the central yellow colored cell, as expressed. The fixed input values are h/e and the Petrie tunnel angle 26° 29’ = 26 +29/60 degrees.

— The solution says 51° 49’ 34.66’’. Only 3.59 arc seconds from score.

— The solution says 51° 49’ 34.66’’ — pretty much the GS Golden Section Matrix Cheops Rectangle Casing Pyramid’s ARCtan 1/√R = 51° 49’ 38.25’’.

— Not at all Petrie’s 51° 53’ 20’’.

That proves that Petrie did not calculate his stated casing angle, unless we have missed something. THE EQUATION AND ITS RESULTS PROVES, CERTIFIES AND VINDICATES A GOLDEN SECTION SOLUTION — THAT APPARENTLY NEVER WAS OBSERVED BY PETRIE.

This author does not intend to question Petrie’s results. No way. The thing is that we (»normal aces») in our time have immensely much more mathematical power aid (computers) than the people around Petrie’s Cheops measuring, some year 1880. Maybe the actual (iterative) trigonometric equation was not even familiar — or perhaps inconvenient to use, or other reasons.

Petrie’s ” The answer has been already given in the list of determinations of the casing angle” (should be the Weighted listing in PetrieCH6.s24), ” It requires an angle of slope of 51° 53’ 20’’ ± 1’ ; and this is so close .. that it conclusively clenches ..”, radiates a for us unknown mathematical assurance. That detail has not been observed earlier in this UH production (never so calculated); The Petrie he values and his stated tunnel angle 26° 29’ (our deduced Hangle) apparently closely defines a direct 19th course Golden Section connection, the trigonometric solution says.

C19thCHECKED: Ci

CheopsATLAS2024.ods Tabell1 A65+

— We can check the »never Petrie used trigonometric equation» results more precisely as above in adopting the recent above iteration result 51° 49’ 34.66’’ — a clear Golden Section Pyramid indication — that apparently Petrie never used together with his measured e partner 47.26.

— Adopting directly the Golden Section Cheops Rectangle mathematics A° = ARCtan 1/√R angle in the Petrie line and using again the direct equation

h = e cosA/cos(A+B) with Petrie’s e = 47.26, we now get the Petrie

h = 37.94 comparable to the previous Petrie calculated h = 37.96 — with Petrie’s own stressed and specified A° = 51° 53’ 20’’.

The mathematics holds — exposing that very small (0.03’’) variations inside the Petrie (»almost huge») specified tolerances (here ± 0.17) have »devastating» consequences to The Quest Is or IsNot Golden Section Pyramid associated — from Petrie’s given data. Concluding like this: it, a Golden Section system mathematics association, is practically impossible to miss, provided using the trigonometric mathematics. The 19th Floor it is. 18th Roof. (Petrie, breaking the enigmatic ice).

— Meaning: These (Ci) mathematics trigonometric equation examples, as they say, point out that Petrie’s data really do provide a definite connection to the Golden Section Matrix Pyramid system — through Petrie’s thoroughly described 19th course stone masonry (heB). The Petrie working group (1881-1883) apparently was shielded not familiar with from using its proving content — unless we have missed something. We definitely have no covering access to the archives, so we cannot say for sure. As already noted earlier, these are reserved for already Educated Cookies: no human right mentioning. Not one word. Cheops Pyramid is Cheops Rectangle bd=h². Disclaim.

Explain: C19th

A FIX h VALUE ”by measuring courses” CERTIFIES — THROUGH THE CONNECTION

h/e = cosA/cos(A+B) ¦ PREFIXxSIN — A DIRECT PROVABLE LINK TO THE GS GOLDEN SECTION MATRIX SYSTEM’S CHEOPS RECTANGLE PYRAMID bd=h². MEANING:

— As the Course19th equative Petrie-GS-example shows, different angles have the (Petrie tolerance) same end station h-result: the mirror-angles have no decisive mandate :

— The building has a GS-associated PLAN at least there. It — the plan, »the architect’s blueprint» — is different from the actual construct which can be deduced from the plan (ContractedConstruct).

— »We are just warming up».

— In order to really proove the Cheops Rectangle status of the Cheops Pyramid, we, hence, must find every single Petrie measure, within its tolerance, to a regular Golden Section Matrix mathematics calculation, or such system matrix identification. Every. However: The Resolution 217 has already provided us with the basic arithmetical MiUNIT proof through the EARTHrJCIRCLE value: the bPetrie 4534.40’’ half Pyramid base fundamentals

— with a certain 99.9999832% confidential match. Dodge that one, if anyone can. Meaning: it is already standing there:

bPETRIE = b[ 1 – (1/R + 1)(√R)/(2·217)] = 4534.399236463’’; match: 99.9999832%

b = rJ/k0 × 0.0254 ;

rJ = 198.572155 M =

= 6.62559E-034/299792458*(3*5.975E+024/(PI()*(1.0086652*1.66033E-027)^4))^(1/3) ¦ OpenOfficeCalcCELLcode

MiUNIT: rJ/100R√16000 = 0.025400718 selected rounded unit: 1 INCH = 0.025400000 M

It is doubtful the Ancient Egyptians knew this — without advanced support from already enlightened.

FirstExercise:

The first excercise from that outlook: Deduce the actual e from the Golden section system. Please.

Explain eTUNNEL 47.3055758’’descending tunnel parallel height

THE FIFTH RESULT:

Summing — compare FirstEX — Ch, corridor height numerically by Scale: 47.3055758’’

Vh = c = yATH + yBlimit + BUARM + (bOFFSET – 18)/2

= 52.8886555437’’ ¦ 52.89 , × √0.8 =

Ch = 47.3050516137’’ ¦ 47.31 ; 47.3050516137’’ ¦ Ch:1¦ 47.3055757984”

Compressed from GS Golden section matrix

Cheops Rectangle rJCR system:

the constants appear recursively: Tunnel cross B, Gallery ramp top PG, and Pyramid North entrance A

CheopsATLAS2024.ods Tabell2 A1+

BUARM = abs(xB¦A16 – xB¦A58)/2 ; B-point Upper Ascending ROOF Mean average, or

= 3.5682917806’’ ¦ 3.57 ; »upper ascending ROOF averaged mean difference»

yATH = 2(yBhigh – yBlow) ; same Bhigh intersecting vertical on the ideal ARCtan½ sloping corridors

= 43.3696399875’’ ¦ 43.37 ; marker for decending and ascending basic passage height determination

bOFFSET = b¦A16 – b¦A58 ; the two Pyramid agents’ half pyramid base difference

= 4555.876483882’’

– 4534.196575969’’

= 21.6799079131’’ ¦ 21.68 ; » the final sealing »:

yBlimit : TunnelCROSS — absolute Construct Limit HBA floor:

yHangleBend = abs(xH – xB)tanHANGLE – yB

= -0.6338339337’’ ;

yPangleHend = abs(xG – 10R – xH)tanPANGLE + yG + n

= 3.6463097198’’ ;

yConB = yHangleBend + yPangleHend ; absolute HBA construct limit floor base

= 3.0124757861’’ ;

d = 2.1323680500’’ ; basement G section details ¦ Construction plan level G

D = [d/cos(PANGLE° + C°)] cos(C°) ; C° = ARCtan(1/√R)

= 1.7116318595’’ ;

SIO = n – D ; secure inspection offset — SIO illustrated

= 1.0982940329’’

yBlimit = yConB + SIO ; absolute Construct Limit HBA floor

= 4.1107698190’’ ; PI-valueAlternative dependent ¦ 4.1112567233

18 = see MiUNIT ; as used — when it is offered

---------------------------------------

nHYPO = √ n² + (n/2)² = 3.1497590802’’ ; difference to pi = 0.00817’’ ¦ should be OK to use, inside margins

L = | xG – xA | · √ 1.25 ; xG — xA = d ; dHYPO = √ d² + [d/2]² = d √ 1 + 1/4 = d √1.25

= 4135.3383474429’’ ;

PANGLE° = ARCtan½ – ARCtan(nHYPO¦π/L)

= 26.5215239127°

= 26° 31’ 17.486086’’ ; slightly less than ARCtan½

Petrie = ” 26° 31’ 23’’ ± 5’’ ? ” ; PetrieCH7.36e as quoted

---------------------------------------

c = 10R – n ;

= 4.7753769413’’ ;

e = cTanPANGLE

= 2.3831554097’’ ;

d = eSinPANGLE ; PREFIXxSIN ¦ Construction plan level G

= 2.1323680500’’

LAH = 2yA√1.25 ; 2yA = xA

= 1487.7416175918’’ ;

HANGLE° = ARCtan½ – ARCtan(d/LAH)

= 26.4829296551°

= 26° 28’ 58.547’’ ; 2’ 18.94’’ less than PANGLE

Petrie = 26° 29’ ± 1’ ; PetrieCH6.36e as quoted

” (4) entrance passage angle at mouth 26° 29’ ± 1’ ”

Difference = 1.453’’ ; ARCseconds — well within Petrie’s tolerance ± 1’

---------------------------------------

ACTUAL EXPLAINING FIGURES AND ILLUSTRATIONS — IN LINKED SECTIONS.

PetrieQUOTE19th: 2ndResult

PetrieCH6.s31+;

” mean doorway height ¦ by measuring courses ¦ 37.94 ± .17”;

—————————————————————————

Petrie gives a long description of his method (Petrie Breaks The Enigmatic Ice)

in determining the descending passage — with respect to its (projected) end on (the original, long ago lost) Pyramid casing. The reasoning includes observations of several other similar (nearby) pyramids, showing a similar edificial principle solution.

”.. the vertical height of the doorway on the sloping face ..” clearly exposes the Petrie idea as the triangular hedABd illustration suggests — unless we are deeply mistaken. Petrie gives the end picture in his short table:

So, there shall be no doubt on what site Petrie is aiming at; 37.94 ± 0.17 it is:

See further in ExplainA

CALTEP ¦ Num217REF ¦ PetriePyramidAngle ¦ RadioCarbonDating ¦ EntrancePETRIE ¦ SecondResult ¦ THICK19th ¦ EquationSecond ¦ ResultSecond ¦ Course19th ¦ EquationSecondITERA ¦ Stressed5153 ¦ C19thITERATED ¦ C19thCHECKED ¦ Explain19th ¦ FirstExercise ¦ PetrieQUOTE19th

MENU:

Concerning Flinders Petrie’s thorough Cheops Pyramid measures (1881-1883)

MENU — PROVING EXCELLENT CONCORDANCE BETWEEN PETRIE’S MEASURES AND (GS) rJCIRCLE-GOLDEN SECTION MATRIX SOLUTIONS

—————

The TEN RESULTS link section namings (First .. Second .. Tenth) is a rest from the first draft in this presentation,

exposing the first ten results where Petrie’s measures concur with the Golden section rJCIRCLE calculated values.

They are listed below in a separate group.

—————

PREVIOUS ABOVE:

—————

RITa — APPENDIX Resolution 217

EARTHrJCIRCLE — Revisitring CheopsRectangle2017 — enhanced version Jan2024

Resolution217 — proving Petrie’s Cheops Pyramid half base inch quantity

First — ChEX, first corridor height example

CALTEP — CALCULATING THE PETRIE VALUES

Second — 18th, TheTrigonometricEquation — PROVING THE GOLDEN SECTION MATRIX SYSTEM PRESENCE IN PETRIE’S MEASURES

ALL THE FOLLOWING SECTIONS

-----------------------------------------------------------------------

The7BEGIN — preparing for Petrie value definitions: xyG and xyA ¦ GpointParams ¦ FIRSTyxA ¦

BpontDetermination — preparing for Petrie value definitions: xyB ¦ xyBPetrie ¦ GSBsolutions ¦ DeLIC ¦ BupLowOrg ¦ Bupper ¦ BPco ¦ BPAL ¦ Blower ¦ CORIH ¦ LineCROSSxy ¦

xPAref ¦ xBhigh ¦ yBhigh ¦ ResultBpoint ¦

-----------------------------------------------------------------------

Height18 — HAS a Stage 1 ¦ SolutionA ¦ DIVA ¦ THEnFACTOR ¦ IdealAndConstructAngle ¦ nSymmetry ¦ PetrieROOF18 ¦ THEn ¦ Npin ¦ ConfirmingPetrie19th ¦ ThirdResult ¦ rJCIRCLEverified ¦

y18ROOFcon ¦ EXTRECON ¦ HanglePangle ¦ CDetailsH18 ¦ ExtraCON ¦ nHYPO ¦ Rot125 ¦ PANGLE ¦ PetriePangle ¦ EighthResult ¦ dREF ¦ HANGLE ¦ PetrieHangle ¦ NinthResult ¦ ConPlanG

GregionFactors ¦ Results123 ¦

PETRIExA ¦ ExplainA ¦ RevisitingTheAngle ¦ PETRIExARelated ¦ INcon ¦ ConfirmedPetriePoints — short summary¦

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FormatingBUARM-yATH — COMPLETING the B POINT REGION DETERMINATION — and its Casing Connectivity ¦

— SUBTERRANIAN TO CASE — nFACTOR — Hangle and Pangle — preparing definition of Petrie’s B-POINT : the tunnel cross ¦ Stage 1

yATHcalc ¦ BUARM ¦ yATH ¦ yBarm ¦ yBlow ¦ yBlo ¦ bOFFSET ¦ yATHsymmetry ¦ TUNNELcross ¦

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yPG ¦ BconnectingPG ¦ PetriePG ¦ yPGcalc ¦ PyramidCenter ¦

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EPA — EntrancePassageAngle — SIO, yBlimitCALCULATION — SIO: yConB yHangleBen + yPangleHend

PetrieTol017 ¦ yBlimitCALC ¦ yBlimit ¦ yHaBe ¦ yPaHe ¦ yConB ¦ Dsio ¦ SIO ¦ yBlimitALG ¦ PetrieBpointCalculated ¦ FourthResult ¦ yBPetrie ¦ xBPetrie ¦ xPetrieB ¦ CorridorHeight ¦ FifthResult

cLENGTH ¦ ChCORRIDOR — Ch2¦

TCC — THE CONTRACTED CONSTRUCT¦ TenthResult ¦ TranspositionPLANtoConstruct — the tunnel cross ¦ ContractedConstruct ¦ ContractedConstructVerified ¦ ResultTunnelCross ¦ SeventhResult ¦ EXcontractedConstruct ¦ Course19thHeight ¦ SixthResult ¦

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dSTEP — upper Gallery Ramp end ¦ dSTEPcalc ¦ yKING ¦ yKINGcalc ¦

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TUNGAL — collective illustration, Tunnel cross

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SIOillustrated — SECURE INSPECTION OFFSET

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TheDpoint ¦ xyD ¦ EGSf ¦ ExplainDetails ¦ xyDalgebra ¦ The5 ¦ Compiled ¦

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GalRES21Feb2024 — GALLERY RESOLUTION 2024 ¦ GalHeightIssue ¦

SmythTol ¦ GallerySouthWall ¦ GalleryAnglePETRIE ¦ TrigMETH ¦ PetrieHypoGAL ¦ GalleryRoofSlopingAngle ¦ GalRoofRampDetails ¦ GalleryRAMP ¦ PetrieGalRoofPros ¦ PetrieGalleryRoofDetails ¦

GalleryRoofInvest ¦ SawToothRoofing ¦ iDSangle ¦ NominalGalleryHeight ¦ GalForceConstruct ¦

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Summing ¦ M74GS — ARITHMETIC RESONANCES¦ PCS — PYRAMID COORDINATE SYSTEM¦ Application ¦ PetriePlate9Issues ¦

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GoldenSectionMatrixSYSTEM ¦ GSgeometry ¦ GSalgebra ¦ GScSMal ¦ GSbPnCHmal ¦ GSmaSeries ¦ GSPyramidMatrix ¦ GSgeometry ¦

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VOOD —VERIFICATION METHOD¦ MethodSTRUCTURE ¦ METHOD ¦ NotesOriginal2017 ¦ CalCards ¦ Kalkylkort ¦ CONTENT ¦

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THE TEN RESULTS — prior draft edition to the above more compact

FirstResult — Parallel CorridorHeight e=Ch ¦ SecondResult — 19th course thickness h from e=Ch and an iterative trigonometric equation ¦ ThirdResult — 19thFloor 18thROOF height over pavement, y18thROOF ¦ FourthResult — Petrie B-pointCalculated, xyPETRIE ¦ FifthResult — calculating e=Ch, and c=Vh from further related recursive constants, summing c, vertical Corridor height c, at the TunnelCross ¦

SixthResult — comparing h19th alternative results solutions and their Petrie values, measured, as calculated ¦ SeventhResult — A CONTRACTED CONSTRUCT ¦ EighthResult — Petrie verified Pangle ¦ NinthResult — Petrie verified Hangle ¦ TenthResult — Transposition PLAN to Construct ¦

ADDITIONAL GALLERY DETAILS — already presented in part [AND ARCHIVED] in the first 2020 version in CheopsATLAS.

This presentation partly uses links from that edition for reference (and archive).

Additional data on the so called Queen’s and Kings chambers (EQUALITIES) are tabled from the beginning in CheopsATLAS, comparing some of the foremost Petrie’s data with multiple Golden Section constant (R) values

— their differences, and how they match to Petries stated tolerances.

As of yet (Feb20247): not all Petrie data have been Golden Section scrutinized in this production. Only the foremost and most important in underlining the concurring quantities.

MENU

The7BEGIN: CALTEP ¦ METHOD ¦ GOLDEN SECTION MATRIX SYSTEM

BEGINNING FROM FIRST AND SECOND EXAMPLES

Beginning from the entrance — ending ideally on the original casing, of which only a few base stones remain today (ThePyramidAngle)

CALCULATING THE PETRIE VALUES — preparations

CALCULATING THE Petrie values of the Cheops PYRAMID — The7 Points with the xyENTRANCE

— »We are just warming up».

(Humanity needs energy for technology — clean energy: no Nature Raping — .. the whole aim behind UniverseHistory .. — if at all).

(.. it all began in the beginning of the 1960s, on a day with extremely heavy thunder .. in the eyes of a child .. ).

GpointParams ¦ EARTHrJCIRCLE

As simple as it is from the Golden Section paragon matrix structure, almost directly the entire inner layout of the Pyramid interior is given directly as above illustrated. The basic ArcTAN½ line collect seven significant xy-points — apparently explaining the whole construct plan.

The following expressions define the first five K F G H A xy-points leading to The Petrie measures Pyramid entrace data.

All line-points K G L H B M A have one and the same simple elementary Golden Section ArcTan½ line angle 26° 33’ 54.18424’’ = 26.565051177°.

b_n = bR^n–¹ — explained by detail in Golden Section Matrix System

There is a whole lot of geometrical mathematics calculating work to be done

in the rJ Cheops Rectangle/Pyramid Golden Section complex — all ending on the 1883 Petrie measures — or not at all

GpointParams: CALTEP

ENTER — all values in Petrie standard inches

uses the pyramid agent Petrie CR¦b16 from Resolution217:

the rJ-associated b = (100R01600)/k₀ = 4555.88’’ :

Gpoint-parameters rJCR¦b16:

The7 ¦ The7BEGIN

xK = -6890.5863216062 = –(piLINE + b4 + b) ; piLINE = Rb/√5 ¦ b_n = bR^n–¹ See GSmatrixAlgebra

yK = -2518.4265808713 = – (b – P) ; P = b/(R + 1/R) = b/√5

-----------

xF = -5556.2009937255 = –(piLINE + b4 + b/√2) ;

yF = -1184.0412529906 = –(b/√2 – P) ;

-----------

xG = -4221.8156658449 = xK + 2(b – b/√2) ; working through the aTan½ K.A line — all triagles related by 2 or ½

yG = -1184.0412529906 = yF ;

-----------

xH = -1853.7331598636 = xG – 2yG ;

yH = 0 ;

-----------

h = b(cotanA° + cotanB°)^–1 ; TriangleConnection ; internal designations, not this figure connected

yA = 665.3382779782 = –xH/(cotanA° + cotanP°) ; tanP° = 1/√R = yA/xA

= xH/(2 + √R) ; The general R connection gives a simplified triangle- equation

xA = -523.0566039073 = –yA√R ; leftSTRETCHED from xy=0

----------- ; rJ¦CHEOPSin ; original2007

FIRSTyxA:

We repeat the same routine on the Petrie CR¦Agent58: Same equations, only beginning from

b = bPETRIE 4534.20’’. The point is to make a final summantion on the G-point values.

CheopsATLAS2024.ods Tabell5 W1 — 13Jan2024

The7BEGIN ¦ GpointParams ¦ FIRSTyxA ¦

BpointDetermination: xyBPetrie: x = 1517.80’’ ± 0.30’’ ¦ y = 172.90’’ ± 0.20’’, as quoted: — calculating constants, preparing for Petrie value definitons

GpointParams

CLARIFYING THE PETRIE MEASURED B POINT

THE SOMEWHAT TRICKY PETRIE DESCRIBED CENTRAL B-POINT DETAILS, illustrated clarification, unless already familiar:

PetrieSOURCE ¦ PetrieCH7.38¦39: B-point

" The junction of the passages was not projected over the broken part uncertainly, as had been done before; but a plumb-line was hung from the W. side of the Ascending passage roof, in front of the plug-blocks; and measures vertical, perpendicular, and sloping, were taken to the plugs, the fragments of the ascending, and the top and bottom of the entrance passage. Thus the whole was knit together to a true vertical line, the place of which was fixed on the entrance floor. From the mean of these measures, and 26º 12½ ' as the ascending angle, with 26º 21' as the descending angle at that spot (by Prof Smyth), the Ascending passage roof starts vertically over 1110.90 on the sloping floor of the [p. 62] entrance, reckoning from the casing face; and the floor cuts the entrance floor at 1110.64 from the same, both probably ± .1.

Further, the lower end of the plug-block is 74.19 from the intersection of the floors; and the upper end 50.76 from the intersection of the roofs. Having thus fixed the beginning of the Ascending passage, by the point where its floor produced onwards intersects the floor of the entrance passage, we can proceed up the Ascending passage from this as a starting point.",

Petrie’s rhetorics illustrated: SCALE: 2pixel/1’’

" The surfaces are so much decayed and exfoliated, that it is only just at the ends that two original faces can be found opposite to one another; hence the width and height cannot be measured, and the offsets can only be stated to one surface.

From this altitude, the sloping length of the passage being 1546.8, the horizontal length will be 1389.5, and the vertical height 679.7, both being corrected for difference in the offsets of the ends. The determination of the azimuth has, unhappily, a large probable error, ± 3' (owing to bad foundation for the theodolite in Mamun's Hole); and its direction, – 4', is so close to that of the Pyramid side, that it may be assumed parallel to that ± 3'. This, on the passage length, = 1.2 inches for the probable error of the place of the upper end of the passage, in E. to W. direction in the Pyramid.

These, added to previous amounts, give for the absolute place of the floor end at the latitude of the E. wall of the gallery (172.9 + 679.7) = 852.6 ± 3 level above pavement; (1517.8 + 1389.5) = 2907.3 ± .6 horizontally from N. edge of Pyramid, or 1626.8 ± .8 northwards from centre; and 287 ± 1.5 for middle of passage eastward from centre of Pyramid.".

xyPETRIE: 1517.8’’ ± 0.30’’;172.90’’ ± 0.20’’

PetrieSOURCE ¦ PetrieCH7.64, tabled values:

" Beginning of ascending passage

From N.Base 1517.8 ± .3 .. Vertically Above Pavement ¦ corrected ¦ 172.9 ± .2 "

Petrie’s B-point illustrated: SCALE: 2pixel/1’’

Petrie never (what we know) explicitly specifies the c-value (Vertical height | Vh). With Petrie’s specified Corridor heigh (Ch = 47.26) it is though calculated (depending on over or under Petrie’s B-point, Petrie’s different angular notations) as Vh = Ch/sinA in PREFIXxSIN (sinARCtan½ = √0.8)

GSBsolutions:

BpointDetermination

Golden Section Matrix Systems Solutions

DETERMINING THE GS B-POINT — TheTunnelCross

LEADING US TO A MORE DETAILED DEDUCTION OF THE PREVIOUS NUMERICALLY SOLVED TUNNEL HEIGHT 47.31’’ and more

BPOINTmain — Upper and Lower

(BpointMainJan2020) WHERE DESCENDING AND ASCENDING CORRIDORS MEET (CompressedJan2024)

DeLIC: Deducing the LINEintersectingCONNECTION — BPdet

Knowing two points ABxy and their respectively straight slopes AB°, their line intersection point can be determined; one and a same Pxy. — We use that connection in the following to determine the (Agent16) GS paragon advised Petrie B-point spouse — if at all. The yN term refers the line intersection with the chosen coordinate system’s y-axis.

Organization:

A basic tunnel height (GS) Golden Section property is calculated for test using the above two illustrated GS body alignments.

Bupper: Organization

UPPER — intersecting lines:

We use the GS paragon matrix system determined (The7 ¦ GpointParams ¦ CALTEP) xyL point coordinates on its +ArcTan½ general construction Descending tunnel (A) line. With bAgent16 the point coordinates are xL and yL. The xyPA point coordinates on its -ArcTan½ Ascending tunnel (B) line are xPA and yPA. We seek where they meet.

TanA=+½

PbLINE

xL = b4 + piLINE

yL = P – b/2

yNA = yL + xLTanA

——————————————————————

TanA=–½

PaLINE

xPA = b6

yPA = P – b2

yNB = yPA + xPATanB

THE LIC CONNECTION determines where the Pa¦B line intersects the Pb¦A line in a designated point B. — That is, where the Descending passage (floor) meets the Ascending (Granite plugged) tunnel (roof). It leads further up to The Great Gallery with the conventionally addressed chambers of the Queen and the King. The intersecion point for upper B is

BpointUPPER

xB = (yNB – yNA)/(TanA – TanB)

= -1499.7016293661’’ ¦ 1499.70’’

yB = yNA + TanA · xB

= 177.0157652488’’ ¦ 177.02’’

——————————————————————

(Compare 2020 — TABLE OF RESULTS).

——————————————————————

GpointParams:

— The Agent16 tunnel crossing point B i s now identified.

BpointCoordinates: BPAL: GSBsolutions

BpointDetermination ¦ LOWER — see below

———————————————

BPOINTmain ¦ TABLE OF RESULTS — the original (2020) same values ¦ Agent16 b-value 4555.88’’ — main rJCIRCLE agency ¦ Agent58 b-value 4534.20’’ — 58R√1600 = 4534.196575969’’, = 4534.20’’

CheopsATLAS2024.ods Table5 Y42 — values in INCHES

Blower: Bupper ¦ Organization

LOWER — intersecting lines:

We use the same PbLINE GS paragon matrix system preferences as above in the UPPER determination part. The comparing PaLINE reference is as specified below.

CORIH: BpD ¦ UPPER — see above

NORMAL GS SQUARE CIRCLE TANGENT DEFINES THE LOWER LINE PART

———————————————

b_n ¦ P_n ¦ BPOINTmain ¦ TABLE OF RESULTS

LineCROSSxy: DeLIC ¦ BpointCoordinates

TanA=+½

PbLINE

xL = b4 + piLINE

yL = P – b/2

yNA = yL + xLTanA

—————————————

CheopsATLAS2024.ods Tabell5 Y42+

——————————————————————

TanA=–½ ¦ LineCROSSxy

PaLINElow

xPA = xPA = –[piLINE + b(b6 + b5√0.2)] = -1967.2763514308’’

yPA = P – b4 — b5√0.8 = 367.4334862936’’ ¦ PREFIXxSIN: (sin¦cos ArcTan½)² = 0.8 ¦ 0.2

yNB = yPA + xPATanB = -616.2046894218’’

B-LOWER line agent point coordinates

—————————————

CheopsATLAS2024.ods Tabell5 Y45+

The GS circle matrix tangent in GS-square (GSbPn) b5 matches the Petrie lower Ascending unnel floor — on a previous lowPa parallel GS defined -ArcTan½ line. Setting up the coordinate complex, now calculating a new Agent16 LowB point, gives

BpointLOWER

lowxB = (yNB – yNA)/(TanA – TanB)

= -1543.0712693536’’’’ ¦ 1543.07’

lowyB = yNA + TanA · xB

= 155.3309452550’’ ¦ 155.33’

—————————————

CheopsATLAS2024.ods Tabell5 Y48+

GOLDEN SECTION B POINT SOLUTIONS

ResultingPICTURE:

The Golden Section Agent Plan — Part 1

xBhigh = -1499.7016293661’’ ¦ 1499.70 ¦ = (yNB – yNA)/(TanA – TanB)

yBhigh = 177.0157652488’’ ¦ 177.02 ¦ LineCROSSxy

—————————————

CheopsATLAS2024.ods Tabell5 Y48+

ResultBpoint: Blower ¦ BpointCoordinates ¦ xyBhigh

ASCENDING PASSAGE FROM POINT B — GS-DEFINED FIX GEOMETRICAL QUANTITIES — Jan2020 ¦ Jam2024

SCALE: 2pixel/1’’

———————————————

PetrieB ¦ CheopsATLAS2024.ods Table5 Y40+ — values in INCHES ¦ Agent16 ¦ Agent58 — GS GOLDEN SECTION MATRIX SYSTEM PROVING ASSISTANTS — METHOD

THE7BEGIN ¦ BpointDetermination ¦ ContractedConstructVerified

BpontDetermination ¦ xyBPetrie ¦ GSBsolutions ¦ DeLIC ¦ BupLowOrg ¦ Bupper ¦ BPco ¦ BPAL ¦ Blower ¦ CORIH ¦ LineCROSSxy ¦ xPAref ¦ xBhigh ¦ yBhigh ¦ ResultBpoint ¦

Height18: — SUBTERRANIAN TO CASE — nFACTOR — Pangle and Hangle — FormatingBUARMyATH

STAGE 1 FormatingBUARMyATH — CASING AND GALLERY CONNECTIVITY

yATHcalculation — yATHsymmetry — THE GALLERY CONNECTIVITY : BconnectingPG— THE CASING CONNECTIVITY: CorridorHeight — The Contracted Construct

STAGE 2: This article: SUBTERRANIAN-CASING PLAN CONNECTION, THEnFACTOR, DEFINING PETRIE’S MEASURED 18th ROOF/19th FLOOR PAVEMENT HEIGHT, DEFINING PETRIE’S MEASURED HanglePangle VALUES — branching to Petrie’s B-point coordinates as calculated, and Petrie’s measured CorridorHeight

yBlimitCALCULATION — depends on HanglePangle (illustrated)(EXTRECON)

Solution: FIRST RESULT APPLICATION TEST

SOLUTION TO THE HEIGHT OF THE 18th ROOF’S 19th FLOOR — continuing from SecondResult

THE HEIGHT OF THE 18th ROOF ¦ 19th FLOOR

INTRODUCTION The nFactor — »basement Petrie symmetry»

The7 ¦ The7BEGIN

points on a same line, the GS body’s ARCtan½ line. Using the GS body fractal matrix circle-square alignments, we seek aligning reference xy-points to calculate the values for these significant points. Then we take it further from there — testing if the results have any further lead. As we will study: they most safely and definitely had.

See the appending separate section in The7BEGIN and the following. We use a simple (DeLIC) line crossing trigonometric connection by which we receive xy-point values where crossing lines need a solution. Pyramid SCALE: Half Pyramid base (bPetrie 4534.40’’) equals 100 pixels. The following text will use and relate the results from The7.

All 7 line-points K G L H B M A share one and the same simple elementary Golden Section ARCtan½ line angle 26° 33’ 54.1842’’ = 26.565051177° — IN THE PLAN of the building.

— These are — then — never found in the actual construct by direct measure. We will see how.

———————————————

ChEX ¦ METHOD ¦ GS ¦ PetrieCP ¦ The7BEGIN — The7¦ DeLIC ¦ bPetrie 4534.40’’ ¦ ArcTan½

DIVA:

DIVULGING THE BASIC PLAN — ».. opening the first secret door ..»

THEnFACTOR:

ROOF18 ¦ MainConstruct ¦

Agent 16 — CheopsATLAS2024.ods Tabell2 B27

xG = 4221.8156658449’’ ¦ 4221.82’’ = xK + 2(b – b/√2)

yG = 1184.0412529906’’ ¦ 1184.04’’ = yF

Agent 58 — CheopsATLAS2024.ods Tabell2 D27

xG = 4201.7254427703’’ ¦ 4201.73’’ ; same math through shorter pyramid base, see Agent 58

yG = 1178.4067926577’’ ¦ 1178.41’’ ;

-----------------------------------------------------------

n = (yG¦16 – yG¦58)/2 ; Agent 16¦58 mean average

= (1184.04 — 1178.41)/2 = 5.63/2

= 2.815 ;

yGPetrie = yG¦16 – n = 1184.04 — 2.815 ;

= 1181.23 ; GoldenSection calculated Petrie y-value

yPETRIE = 1181.10 ± 1 ? as quoted ; difference: 0.13’’

xGPetrie = xG¦16 + 10R = 4221.82 — 6.18

= 4228.00 ; GoldenSection calculated Petrie x-value

yPETRIE = 4228.10 ± 2 ? as quoted ; difference: 0.10’’

Petrie G point confirmed (as quoted).

IdealAndConstructAnglel: nSymmetry: THEnFACTOR

The xyG points (GpointParams ¦ The7BEGIN) from the two employed GS Pyramid agents Agent 16¦58 form a close quantitative yn (2.81’’) symmetry around the (not very accurately known, very nasty place) Petrie measured G point in the bottommost subterranean descending passage region.

GOLDEN SECTION VERIFIED Petrie Subterranean G-point xy coordinates:

PetrieCH7.36 ¦ — PetrieSOURCE :

” The absolute position, then, of the middle of the S. end of the entrance passage floor will be, in level,

668.2 – (4140 X sin. 26° 31' 23") – .8 difference of floor offsets = – 1181 ± 1 ?; in distance from N. base of pyramid

524.1 + 3704.3 = 4228 ± 2? or 306 N. from mid-plane; and in distance E. from the mid–plane

287.0 – [ sin. (3' 55" – 3' 44") x 3704 ] – .4 difference of offsets = 286.4 ± 1.0.”;

THEn:

The n factor — has decicive influence

———————————————

Taking advantage of the offered opportunity, the Petrie G point y-symmetry gallantly defines an n factor from the mean difference between the two Pyramid agents’ vertical coordinates (see Pyramid Coordinate System). With the Petrie specified tolerances, it is suggested that the Petrie yG position lies (exactly) between the two Agent’s different yG.

Npin:

The general testing npin factor

The GS ARCtan½ nHYPO (hypotenuse) value √ n² + (n/2)² = 3.1497590802’’ might be a second hand choice before the close pi-constant π = 3.1415926 if no hazard.

nHYPO = √ n² + (n/2)² = 3.1497590802’’ ¦ 3.15

possible constructor’s stressed alternative:

nHYPO = π = 3.1415926536’’ ¦ 3.14 — we can test/compare our results and see if it matters [ ± 0.01’’ ]

(GregionFactors) In this presentation a selector has been employed in the calc program. It allows a test on all the listed equative consequtive results, comparing between an original nHYPO and a regular π. We suspect, namely, that the constructors (also) would have preferred such a choice. Further reports will tell if, and how, that test works out. The common term factor here is named the npin with a (CalcCell) selected 1 for π (n=2.8099258924’’=pin) and 0 for nHYPO (n=2.8172301665’’=n). We will in this presentation give all results in the selector mode 1, unless otherwise stated.

ConfirmingPetrie19th: ThirdResult: rJCIRCLEverified:

A first strong n-factor vindicated application

CONFIRMING THE PETRIE-MEASURE 18thROOF 19thFLOOR HEIGHT OVER PETRIE PAVEMENT: 668.15’’ ¦ Petrie 668.20’’ ± 0.10’’

See GpointParams

yA = 665.3382779782 = –xH/(cotanA° + cotanP°) ; tanP° = 1/√R = yA/xA

= xH/(2 + √R) ; The general R connection gives a simplified triangle- equation

y18ROOFcon: ConfirmingPetrie19th

RESULT:

Explain y18thROOF 668.1482038706’’ ¦ 668.15 19th course floor over pavement

PetrieCH7.35:

” Having, then, fixed the original position of the doorway of the Pyramid, we may state that it was at

668.2 ± .1 above the pavement of the Pyramid;”,

Pushing the (nSYMMETRY) basic G.A line ARCtan½ triangle vertically up by the n-factor value (npin = 2.8099258924’’ ¦ 2.81’’) gives the result:

665.3382779782 + 2.8099258924 = 668.1482038706 ¦ 668.15

yA(Agent16) + npin = 668.1482038706’’ ¦ 668.15’’

PetrieCH7.35:

” Having, then, fixed the original position of the doorway of the Pyramid, we may state that it was at

668.2 ± .1 above the pavement of the Pyramid;”,

Difference: 0.05’’

PetrieROOF18 verified.

Petrie yA ROOF 18 height confirmed as quoted.

See further on Petrie’s xA value in PETRIExA.

EXTRECON: HanglePangle: — y18ROOFcon

EXTRACTING RECURRING CONSTANTS

Petrie P and H angles confirmed (as quoted):

We use an angular Minuend – Subtrahend method to calculate possible Petrie angle candidates from the appearing Agent16¦58 factors in the Golden Section Matrix system :

AngularCandidatePangle = ARCtan½ – ARCtan(nHYPO¦π/L) = 26° 31’ 17.486086’’ ¦ Petrie’s ” 26° 31’ 23’’ ± 5’’ ? ” diff: 0° 00’ 05.513914’’ »OK with ?»

AngularCandidateHangle = ARCtan½ – ARCtan(d/LAH) = 26° 28’ 58.546758’’ ¦ Petrie’s ” 26° 29’ ± 1’ ” ................... diff: 0° 00’ 01.453242’’ OK

THERE IS A COMPLEMENTARY PANGLE VALUE THAT IS PRACTICALLY INDEPENDENT OF THE npin FACTOR ALTERNATIVES — through the yConB-factor:

AngularCandidateOangle = ARCtan½ – ARCtan(yConB/L) = 26° 31’ 23.926248’’ ¦ Petrie’s ” 26° 31’ 23’’ ± 5’’ ? ” diff: 0° 00’ 00.926248’’ OK:

BUT WE CANNOT USE THIS FOR A PANGLE REPLACEMENT BECAUSE THE Oangle yConB CALCULATION DEPENDS ON A PANGLE REFERENCE.

PetrieCH7.36:

” The absolute position, then, of the middle of the S. end of the entrance passage floor will be, in level,

668.2 – (4140 X sin. 26° 31' 23") – .8 difference of floor offsets = – 1181 ± 1 ?; in distance from N. base of pyramid

524.1 + 3704.3 = 4228 ± 2? or 306 N. from mid-plane; and in distance E. from the mid–plane 287.0 – [ sin. (3' 55" – 3' 44") x 3704 ]

– .4 difference of offsets = 286.4 ± 1.0.”;

WE USE THE CONVENTIONAL LINE EQUATION (y1–y2)/(x1–x2) =TanA to retrieve Petrie’s results with Petrie’s inputs — the Ny value: where A crosses the vertical Pyramid North corner y=0-axis.

CheopsATLAS2024.ods Tabell2 P57+

— We see that Petrie uses a HypoLength 4140 instead of the — from Petries specified xy-values — resulting 4139.90: The difference shows up in the Pangle result as 21° 31’ 56.090736’’: not quite the Petrie stated angle. Testing the Petrie suggested tolerances will also alter the Petrie claimed HypoL-value — presenting other values than the Petrie stated. We have no mandate on such speculations.

— We can only state the fact, that with Petrie’s given data as the above specified inputs, the Petrie specified angle 21° 31’ 23’’ does not show up. The Petrie given question mark is our best guide here.

The n-factor has a subterranean G region set of triangular parameters defining further useful constants, as depicted. From these are defined two central angular constants Hangle and Pangle also mentioned and specified in Petrie’s work with associated tolerances. Further below.

The trigonometric connections are deduced as the above illustrated draft. The connections are also specified in the CheopsATLAS2024.ods OpenOffice Calc program’s tabled details as collected in the following sets.

CDetailsH18:

CALCULABLE GOLDEN SECTION MATRIX DETAILS

From the above results:

—————————————

THE yBlimitCALCULATION (EPA: uses xyHB, HanglePangle, G-region details in this article)

solves for Petrie values in

xyPetrieBpoint ¦ Corridor height

—————————————

Continue:

ExtraCON: CDetailsH18 ¦ EXTRECON

EXTRACTING THE RECURRING CONSTANTS

nHYPO = √ n² + (n/2)² = 3.1497590802’’ ; difference to pi = 0.00817’’ ¦ should be OK to use, inside margins

L = | xG – xA | · √ 1.25 ; xG — xA = d ; dHYPO = √ d² + [d/2]² = d √ 1 + 1/4 = d √1.25

= 4135.3383474429’’ ;

PANGLE° = ARCtan½ – ARCtan(nHYPO¦π ÷ L)

= 26.5215239127°

= 26° 31’ 17.486086’’ ; slightly less than ARCtan½

Petrie = ” 26° 31’ 23’’ ± 5’’ ? ” ; PetrieCH7.36e as quoted

Difference = 5.514’’ ; outside the tolerance WITHOUT Petrie’s QUESTION MARK

PANGLEnHypo = 26° 31’ 17.079’’ ; this is the only quantity in the complex with an unresolved precision

nHypoDifference = 5.921’’ ; outside the tolerance WITHOUT Petrie’s QUESTION MARK

——————————————————————————————————————————————————

Petrie verified Pangle: EighthResult: PANGLE ; WITH PETRIE’S QUESTION MARK — see abbreviation example

HanglePangle illustrated

——————————————————————————————————————————————————

c = 10R – n ;

= 4.7753769413’’ ;

e = cTanPANGLE

= 2.3831554097’’ ;

d = eSinPANGLE ; PREFIXxSIN ¦ Construction plan level G

= 2.1323680500’’

LAH = 2yA√1.25 ; 2yA = xA

= 1487.7416175918’’ ;

HANGLE° = ARCtan½ – ARCtan(d/LAH)

= 26.4829296551°

= 26° 28’ 58.547’’ ; slightly less than PANGLE

Petrie = 26° 29’ ± 1’ ; PetrieCH7.36e as quoted

” (4) entrance passage angle at mouth 26° 29’ ± 1’ ”

Difference = 1.453’’ ; ARCseconds — well within Petrie’s tolerance ± 1’

= 26° 28’ 58.547’’ ; using π for nHYPOO

Difference = 1.453’’ ; ARCseconds — well within Petrie’s tolerance ± 1’

Petrie verified Hangle: NinthResult: HANGLE

8HanglePangle illustrated

————————————————————————————————

CheopsATLA2024.ods Tabell1 A24+

Gconstruction plan: SCALE: 20pixel/1’’ — Confirming19th

n-Factor orientation, Cheops Pyramid subterranean details. After Flinders Petrie’s measures 1881-1883. See PetrieSOURCE.

GregionFactors:

CheopsATLAS2024.ods Tabell2 A44+

Results: FirstResult ¦ SecondResult ¦ ThirdResult ¦

Apart from Petrie’s quoted question mark tolerance (”±5’’ ? ”) — in the rJCIRCLE Golden Section complex calculated corresponding Pangle: all present values show (good) Petrie tolerance acknowledging.

The remaining Petrie x coordinate

FINISHING ON FLOOR 19th

Continuing on Petrie’s 19th FLOOR xy-coordination

PETRIExA — The redundant

Further:

EPA — determining the exact GS corridor height

Height18 ¦ SolutionA ¦ DIVA ¦ THEnFACTOR ¦ IdealAndConstructAngle ¦ nSymmetry ¦ PetrieROOF18 ¦ THEn ¦ Npin ¦ ConfirmingPetrie19th ¦ ThirdResult ¦ rJCIRCLEverified ¦ y18ROOFcon ¦ EXTRECON ¦ HanglePangle ¦ CDetailsH18 ¦ ExtraCON ¦ nHYPO ¦ Rot125 ¦ PANGLE ¦ PetriePangle ¦ EighthResult ¦ dREF ¦ HANGLE ¦ PetrieHangle ¦ NinthResult ¦ ConPlanG ¦ GregionFactors ¦ Results123 ¦

PETRIExA: Results123

FROM: EquationSecondITERA — Course19th — FINISHIN ON FLOOR 19tn

IT DEPENDS ON THE RELATIVE ESTIMATION OF THE ORIGINAL CASING SLOPE, WHICH HOWEVER IS NO LONGER EXISTENT ON THE BUILDING

THE REDUNDANT PETRIE 18th ROOF xVALUE

See Petrie Quotes in PetriPyramidAngle

AS STATED (Course19thITERATED ¦ Cource19thCHECKED):

Petrie EntranceCorridor-19thCourse MIRROR Height Golden Section Connection confirmed (Revisiting the angle):

ExplainA:

CheopsATLAS2024.ods Tabell2 Q19+

Taking the Petrie (he) specified values on the Petrie specified descending entrance passage sloping angle 26° 29’ on the given TrigonometryEequation

h = e cosA/cos(A+B) ¦ Deduction ¦ PREFIXxSIN

only certifies the Golden Section Cheops Rectangle bd=h² solution. As stated (Stressed5153):

That is what a Petrie inevitably land surveying trigonometric technique would have had to observe — Petrie’s corresponding Plate XI as ”CASING RESTORED” —

PetrieCH6.32e :

in his corresponding and concluding statement (over the above)

51° 53’ 20’’ ± 1’ (corresponding to Petries specification on the North pyramid wall PetrieCH6.s24):

The simple corresponding PetriePlateXI.4 illustration — North side Pyramid wall:

Petrie as quoted:

— ” The answer has been already given in the list of determinations of the casing angle. It requires an angle of slope of 51° 53’ 20’’ ± 1’ ”.

— With the Petrie stated values h = 37.94, e = 47.26 and B = 21° 29’ the trigonometric answer is as above (C19thITERATED):

51° 49’ 34.66’’ — compare Golden Section Cheops Rectangle pyramid angle ARCtan 1/√R:

51° 49’ 38.25’’ — difference 3.59’’

and not at all the Petrie claimed/stated (PetrieCH6.s24 10 weighted N face)

51° 53’ 20’’ which very well could be the true actual stone masonry staircase sloping angle, North Pyramid wall.

The result, it says, is perfectly clear on the input parametric fact that the TrigonometryEequation as such — what we know, apparently — was never employed by Petrie. His reference seems only to pertain to the evaluated list of measured angles and their weights of importance in his section PetrieCH6.s24. Only one of these, the second, have a close 51° 49’ (± 1’) but with a low weight value of only 2 (1-10).

The idea of »an exact actual angle» on the already highly removed outer parts of the Cheops Pyramid (also noted by Petrie) has lost all original features connected to any idea at all of a casing — except on the few left casing stones at the (north) Pyramid base — and except as indicated by the 19th floor trigonometric equation with known distances (he) and a sloping entrance passage angle (B):

So, in conclusion, we have a certain mandate to state on the above related causes (Petrie never used the TrigEquationAB):

— Casing Angle from Petries certainly tight measured heB : 51° 49’ 34.66’’.

See Explain19th.

PetrieCH6s23:

” These levels, though important for the heights of the particular courses,

have scarcely any bearing on the question of the original peak of the casing of the pyramid,

because we have no certain knowledge of the thickness of the casing on the upper parts.”.

RevisitingTheAngle:

The TrigonometryEequation as such was never employed by Petrie.

— It gives the answer. But was apparently never observed.

CheopsATLAS2024.ods Tabell2 Q19+

So: The Petrie stated xy-values (524.1; 668.20) on the horizontal part of the coordinate specification measure of the Casing Entrance Floor point A,

PetrieCH7.36 ¦ PetrieROOF18 — PetrieSOURCE :

” The absolute position, then, of the middle of the S. end of the entrance passage floor will be, in level,

668.2 – (4140 X sin. 26° 31' 23") – .8 difference of floor offsets = – 1181 ± 1 ?; in distance from N. base of pyramid

524.1 + 3704.3 = 4228 ± 2? or 306 N. from mid-plane; and in distance E. from the mid–plane

287.0 – [ sin. (3' 55" – 3' 44") x 3704 ] – .4 difference of offsets = 286.4 ± 1.0.”;

PETRIExARelated: PETRIExA

has »a partly corrupted» x-value (the 524.10 part).

— The Petrie calculated 524.10’’ is exactly what we get from taking the steeper Petrie Casing angle P° = 51° 53’ 20’’ on our more exact height 668.148’’ of the 19th floor level (18th roof)

x = y/tanP° = 668.148’’/1.274838 = 524.1042170704’’ ¦ 524.10’’

If Petrie — as we do — had used the above related result from the TrigonometryEequation P°’ = 51° 49’ 34.66’’ and the more precise 668.148’’ for yA, the found x value would be

x = y/tanP°’ = 668.148’’/1.274838 = 526.2283998884’’ ¦ 526.23’’

And our ideal Cheops Rectangle Pyramid has the corresponding

x = y/tanC° = 668.148’’/1.272020 = 525.2654707459’’ ¦ 525.27’’

INcon: PETRIExARelated

So in conclusion:

BECAUSE — unless some disclaiming power exists — Petrie never used the TrigonometryEequation, but apparently only relied on measuring data on a sadly sored edifice (”Chap. 6. Outside of Great Pyramid • Sec 24. Angle of the Pyramid”: PetrieCH6.s24 although he would not have had to, in this region), Petrie came to favor »a featuring Casing angle» 51° 53’ 20’’ which — trigonometrically calculated — hides the above related result 51° 49’ 34.67’’ a clear Golden Section reminder from the equation Petri never employed.

— These details however, make nothing to the whole general picture — except on the divulging fact, that IF Petrie had employed what he actually didn’t, the Golden Section Matrix building would have been unveilded already the year 1883.

What we know. No further complexities of the kind exists inside the Petrie group work on measuring The Great Pyramid at Giza in Egypt (1880¦1881-1882¦1883).

Editor2024II1

Confirmed Petrie points — in short summary:

PetrieGpointConfirmed — subterranian region¦ y18ROOFcon — yA CASING¦ EXTRECON — connecting P and H angles ¦ PETRIExA — Corridor19thCourseMIRROR GS confirmed

Following sections:

CALCULATING THE PETRIE VALUES ¦ GpointPARAMS ¦ FIRSTyxA ¦ BpointDetermination ¦ BPAL — ascending UpperLower ¦ CORIH — corridor dimensions ¦

EPA — entrance passage angle: DETERMINING/testing THE »exact» CORRIDOR HEIGHT ¦ TUNNELcross ¦ PetrieBpointCalculated ¦ ContractedConstruct — from plan to construct¦

SIOillustrated ¦ M74GS ¦ TCC ¦ PetriePG ¦ dSTEP ¦ yKING ¦ TUNGAL — collective illustration ¦

PCS — PYRAMID COORDINATE SYSTEM ¦ NotesOriginal2017 ¦ GoldenSectionMatrixSYSTEM ¦ VOOD — verification method¦

Links from the 2020 version (and the Swedish 2017 original CheopsRektangel) in CheopsATLAS are frequently referred to (the basic work).

— We get the picture of how the subject did develop — including eventual errors (on a less developed vocabulary ..).

Height18 ¦ y18ROOFconsequences

PETRIExA ¦ ExplainA ¦ RevisitingTheAngle ¦ PETRIExARelated ¦ INcon ¦ ConfirmedPetriePoints — short summary¦

FormatingBUARMyATH: xPetrieB

Stage1

COMPLETING B POINT REGION DETERMINATION — its Casing and Gallery Connectivity

Using the previously Agent16¦58 deduced xyB

FORMATING BUARM AND yATH

yASCENDING TUNNEL HEIGHT — B-POINT UPPER ASCENDING ROOF MEAN AVERAGE

yATHcalc:

Agents 16 ¦ 58 :

----------------------

BUARM = abs(xB¦A16 – xB¦A58)/2 ; B-point Upper Ascending ROOF Mean average, or

= 3.5682917806’’ ¦ 3.57 ; »upper ascending ROOF averaged mean difference»

yATH = 2(yBhigh – yBlow) ; same Bhigh intersecting vertical on the ideal ARCtan½ sloping corridors

= 43.3696399875’’ ¦ 43.37 ; marker for decending and ascending basic passage height determination

yBarm = yATH + BUARM ; »BUARMyATH»

= 46.9379317681’’ ¦ 46.94

yBlow = yB – yATH

= 133.6461252613’’ ¦ 133.65

yBlo = yBlow – BUARM

= 130.0778334807’’ ¦ 130.08

bOFFSET = b¦A16 – b¦A58 ; the two Pyramid agents’ half pyramid base difference

= 4555.876483882’’

– 4534.196575969’’

= 21.6799079131’’ ¦ 21.68 ; » the final sealing ». — »We are just warming up».

yATHsymmetry: TUNNELcross: SCALE: 2pixel/1’’ — EPA

Using the previously Agent16¦58 deduced BUARMyATH

It is advanced. Consequential Mathematics (COMA ¦ HumanRightsRecognition).

THE GALLERY CONNECTIVITY:

BconnectingPG

Corridor vertical height (c=Vh) — summing parts

THE CASING CONNECTIVITY — needs EPA yBlimitCalc — SIO yConB: yHangleBend + yPangleHend

CorridorHeight ¦ yBlimitCALCULATION

»Mirror reflectivity» trigonometry — 19th Course from Corridor vertical height (c=Vh)

THE CASING CONNECTIVITY — same as SecondResult —

ChEX

The7BEGIN ¦ BpointDetermination ¦ xyBPetrie

FormatingBUARM-yATH ¦ yATHcalc ¦ BUARM ¦ yATH ¦ yBarm ¦ yBlow ¦ yBlo ¦ bOFFSET ¦ yATHsymmetry ¦ TUNNELcross ¦

yPG: BconnectingPG: yATHsymmetry

Using the previously Agent16¦58 deduced BUARMyATH

Defining

THE TUNNEL CROSSING (B) CONNECTION WITH THE GALLERY RAMP TOP (yPG) — PYRAMID CENTER

— For each new factor derived, it contributes or directly points to a next veryfying step or Petrie measured value in the building.

PetriePG:

Petrie’s value [ ± 0.60’’ ] 1658.20’’

Explain yPG 1658.1652607385’’ Gallery RampSlope TopStop over pavement

PETRIEpG

The yBarm point from Agent16’s yBhigh marks a further step forward enhacement in the mathematical treatise of the GS Golden Section Matrix System in the Petrie measured Cheops Pyramid:

SCALE: 2pixel/1’’

———————————————

BpointDetermination ¦

It works through the bOFFSET (21.68’’) between the two Agents 16¦58 so:

b(Agent58¦4534.20’’ inside Petries tolerance)

yPG = [4534.20 + (4555.88 – 4534.20 = 21.68) – xB(Agent16, = -1499.7016293661’’ ¦ 1499.70)]/2

+ yBlow(=133.6461252613’’ ¦ 133.65) – BUARM(=3.5682917806’’ ¦ 3.57)

= 1658.1652607385’’ ¦ 1658.17

= (4534.2 + (4555.88 - 4534.2) - 1499.7)/2 + 133.65 - 3.57 = 1658.17

= (4534.1965759686 + (4555.8764838817 - 4534.1965759686) - 1499.7016293661)/2 + 133.6461252613 - 3.5682917806 = 1658.1652607385

Compressed Petrie verified Gallery ramp end:

METHOD STRUCTURE absolute values

yPG = [b(Agent58) + bOFFSET – xB]/2 + (yB – yATH) – BUARM

= (4534.2 + (4555.88 - 4534.2) - 1499.7)/2 + (177.02 - 43.37) - 3.57 = 1658.17

= [b(Agent58) + bOFFSET – xB]/2 + (yBlow) – BUARM

= [b(Agent16) – xB]/2 + (yBlow) – BUARM

= [b(Agent16) + xB]/2 – xB + (yB – yATH) – BUARM

= (4555.88 + 1499.7)/2 - 1499.7 + (177.02 - 43.37) - 3.57 = 1658.17

= [b(Agent16) + xB]/2 + yB – yBarm

= 1658.1652607385’’ ¦ 1658.17

= -(-4555.88 - -1499.7)/2 + 177.02 - 46.94 = 1658.17

= [b(Agent16) + xB]/2 + yBlow – yBarm

= (4534.2 + (4555.88 - 4534.2) - 1499.7)/2 + 133.65 - 3.57 = 1658.17

Explain yPG 1658.1652607385’’ ¦ 1658.17 Petrie verified: diff 0.03

PyramidCenter:

Petrie Pyramid Center Gallery RampTop verified.

THE CHEOPS PYRAMID CENTER

AT THE PYRAMID VERTICAL CENTER — ideally Petrie’s 4534.40’’± 0.25’’ from Pyramid North base

——————————————————

xPG = Pyramid Center ¦ ideal gravity vertical

= bAgent58

= 4534.20’’ — inside Petrie’s tolerance. Difference rounded: 0.20’’ ¦ 0.00508 M = 5.08 mM

bPetrie = 4534.40’’ ± 0.25

Petrie Pyramid Center verified.

PetrieCH7.46: Cheops Pyramid Center

” At the upper end of the gallery, we have already stated the S. wall to be 61.7 ± .8 of the Pyramid centre; and hence the face of the great step at the head of the gallery (which descends behind both floor and ramps) is (61.7 – 61.3) = .4 ± .8 S. of the Pyramid centre. It may, therefore, be taken as intended that the face of this step, and the transition from sloping to horizontal surfaces, signalizes the transit from the Northern to the Southern half of the Pyramid. This same midplane of the Pyramid being also signalized by the midplane of the Queen's Chamber, which is measured as .3 ± .8 N. of the Pyramid centre.

[p. 75] The ramps along the sides, where they join this great step, are very irregular. Their top surfaces slope away downwards toward the side walls; thus the E. ramp top varies from 13.20 to 12.18 below the step from E. to W., and the W. ramp top from 12.82 to 12.2 (?) from W. to E. At present, moreover, the ends of the ramps are parted away from the face of the step by .30 on E. and .44 on W., an amount which has been duly subtracted from my length measures of the gallery. Beside this, the top of the step itself, though, straight, is far from level, the W. side being about 1.0 higher than the E. side. And the sloping floor seems to be also out of level by an equal amount in the opposite direction; since on the half width of the step (i.e., between the ramps) the height of the step face is 34.92 or 35.0 on E., and 35.80 or 35.85 on W. The length of the step from N. to S. is on E. side 61.0, and on W. 61.5. All these measurements are very carefully taken with elimination of wear, fractures, and shifting of the stones at the joints. Hence, at the line along which I measured, 6 inches from the edge of the ramp, the step will be 61.1 long; and this at the angle 26º 12' 50" (by which the end of the gallery was calculated from the plug-blocks) will be 30.08 vertically, for the virtual9 above the actual floor end. Then the top of the step will (by above measures) be here 34.88 above actual floor end, and the step dips about .64 to the S. wall at this part; so the top of the step at the S. wall is 34.88 – .64 – 30.08 = 4.16 (say ± .2) above the virtual floor end at the line of taping. And as the virtual floor end is at 1689.0 ± .5, the step surface at the E. side of the S. doorway is 1693.2 ± .6 over the pavement.”.

Note:

Petrie’s specification type ”.4 ± .8” explains the tolerance greater (twice) than the measure. Our (PCS) ideal GS Golden Section Cheops Rectangle Cheops Pyramid has the (exact) center specified by Petrie’s half Pyramid base as quoted (4534.40’’ ± 0.25’’). So, there should be little doubt that the Petrie described vertical step face at the gallery ramp end marks or defines a vertical East-West center wall of the Pyramid.

yPG ¦ BconnectingPG ¦ PetriePG ¦ yPGcalc ¦ PyramidCenter

EntrancePassageAngle: EPA

Based on comparing the Petrie Cheops Pyramid measures

DETERMINING/testing THE »exact» CORRIDOR HEIGHT

BASIC GOLDEN SECTION GEOMETRICAL MATHEMATICS only

h = ([bPETRIE = 4534.40’’]/100)(2 · 3 · 18 / 100)² · √0.8 ¦ PREFIXxSIN: (sin¦cos ArcTan½)² = 0.8 ¦ 0.2. See FirstRESULT.

h = 47.3055757984’’. It is calculated from the (LCD Screen) pixel height of Petrie’s Cheops data Ascending passage tunnel scaled version (bPetrie = 100p) here in UH.

h = 47.26 — hPetrie:

PetrieCH6.32.r56: ” entrance passage angle at mouth 26°29’ ± 1’, entrance passage height 47.26”.

No specified tolerance in that quote. Text above (r32) specifies ”mean doorway height .. 37.67 ± .17”; Adopting 47.26’’ ± 0.17’’, our (numeric) 47.3056 is OK (+0.0456).

” (4) entrance passage angle at mouth 26° 29’ ± 1’ ” ; Petrie’s 668.20’’ ¦ xyINpos ¦ x = 524.1’’

— PetrieCH6.32e: 26° 29’ ± 1’ ; Hangle ¦ HangleINTRO, CheopsATLAS.htm

26.49629943° = the actual Petrie measured angle

26.56505118° = aTan½ — the ideal GS paragon angle.

PetrieINentrance Descending passage angles, listing

PetrieCH7.38, Col3 — reporting some of the difficulties in determining the details in the Petrie B-point

R-fractals ¦ GS-series ¦ LineINTERSECTblock ¦ GSParagonARITHMETICS ¦ The7

FormatingBUARMyATH

yBlimitCALC: EPA

yBlimit CALCULATION

FINALIZING ON PETRIE B POINT DETERMINATION

----------------------

Agent16:

----------------------

yBlimit : TunnelCROSS — absolute Construct Limit HBA floor

yHangleBend = abs(xH – xB)tanHANGLE – yB ; xyB HIGH Agent16

= -0.6338339337’’ ;

yPangleHend = abs(xG – 10R – xH)tanPANGLE + yG + n

= 3.6463097198’’ ;

yConB = yHangleBend + yPangleHend ; absolute HBA construct limit floor base

= 3.0124757861’’ ;

d = 2.1323680500’’ ; basement G section details ¦ Construction plan level G

D = [d/cos(PANGLE° + C°)] cos(C°) ; C° = ARCtan(1/√R)

= 1.7116318595’’ ;

SIO = n – D ; secure inspection offset — SIO illustrated

= 1.0982940329’’ ; also yConBoffset

SIOillustrated

yBlimit = yConB + SIO ; absolute Construct Limit HBA floor

= 4.1107698190’’ ; PI-valueAlternative dependent ¦ 4.1112567233

18 = see MiUNIT ; as used — when it is offered

rJ/100R√16000 = 0.025400718 an automatic 0.0254 M unit if so rounded on the Planck Dmax mJ constant

√16000 = 5 · 2 · 2 · 2 · √2 · √5 = 5 · 8 · √2 · √5 = ([58 = 5 · 8 + 18] – 18) · √2 · √5 = 40√10 = 5 · 8 · √10.

58R√16000.0 = 4534.196576 ; = (rJ’CR¦b16=198.5665M) · 58/100 = (100R√16000)k0 — see The16Factor — Agent58

See also The NeutronSquare atomic mass defect electron scale —18 — and petries 18th floor/19th roof — the Pyramid Entrance

See also y18ROOFconsequences

PetrieBpointCalculated: FourthResult:

xyPetrieB

yPETRIE = 172.9090491109’’ ¦ 172.91 ; Petrie: 172.90’’ ± 0.20 ¦ PetrieB ¦ PetrieCH7.64tab

= yB – yBlimit ;

= 177.0157652488 – 4.1107698190’’ ;

Petrie verified tunnel cross measured B-point y coordinate

xPETRIE = -1517.7016293661’’ ¦ 1517.70 ; Petrie: 1517.80’’ ± 0.30 ¦ PetrieB

= xB – 18

= -1499.7016293661’’ – 18’’ ;

Petrie verified tunnel cross measured B-point x coordinate

Petrie verified. PETRIE’S MEASURES CAN BE CALCULATED FROM THE rJCIRCLE Golden Section Cheops Rectangle complex.

xPetrieB: ResulrBpoint — SCALE: 2pixel/1’’

x y

PETRIE 1517.80’’ ± 0.30’’ 172.90’’ ± 0.20

GSsolu 1517.70’’ ± 0.00’’ 172.91’’ ± 0.00 approved.

Petrie B-point identified and defined.

CorridorHeight: FifthResult: ResultBpoint ¦ yATHcalculations

cPetrie EXACT CORRIDOR vertical HEIGHT

Summing — compare FirstEX — Ch, corridor height numerically by Scale: 47.3055758’’

Vh = c = yATH + yBlimit + BUARM + (bOFFSET – 18)/2

= 52.8886555437’’ ¦ 52.88 , × √0.8 =

Ch = 47.3050516137’’ ¦ 47.31 ;

PetrieCH6.32.r56: ” entrance passage angle at mouth 26°29’ ± 1’, entrance passage height 47.26”.

—————————————————————————————————————

Petrie verified — second method — descending passage tunnel vertical height, FirstRESULT [ recursively ] certified

—————————————————————————————————————

Transposing the cPlan to the Construct:

cLENGTH Vh in yPetrieB — as yc = c + yPetrieB — by (DeLIC) k = ARCtan½

defines intersection

Ny_BP = yc – kxPetrieB

= 984.6444656565’’ ¦ 984.64

The corresponding (Agent16¦58 GS plan) cTop on Agent16’s yBhigh has the vertical

yATH + BUARM = yBarm status. It has a corresponding lower Ny status of

Ny_BA = (yBhigh + yBarm) – kxBhigh (still same ARCtan½ PLAN draft reference)

= 973.8045116999’’ ¦ 973.80

TCC: TenthResult: TranspositionPLANtoConstruct: FifthResult

Explaining THE CONTRACTED CONSTRUCT — SCALE: 2pixel/1’’

The gauging ARCtan½ x-difference (2yDIFF) defines a CONTRACTED CONSTRUCT — from plan to actual (PETRIEmeasured) building:

Ny_BA – Ny_BP = 2(973.80 – 984.64)

= -21.68 ¦ 21.6799079131’’

= bOFFSET

= bAGENT58 – bAGENT16

= 4534.1965759686’’ – 4555.8764838817

= -21.6799079131’’ ¦ -21.68

The alignment settles and defines the xyPetrieB construction point on the cLENGTH top over the xyPetrieB measured tunnel crossing point — from where any appropriate different angular extension may be related. different from the plan’s gauging ARCtan½.

Contracted construct found and verified.

The Golden Section Matrix System’s cLENGTH determination has — thereby — pinpointed a solid Cheops Pyramid construction point (PetrieB), referring a crossover transfer between decending and ascending corridors. And that is the actual offset push between the two Pyramid agents 16¦58.

Relating the bOFFSET x-positive (Nortwards) from the yBhigh position, then again same value y-positive upwards, same bOFFSET value, renders the same Ny ARCtan½ gauging alignment, but now higher up with the ARCtan½ gauging plan as »most centered synchronized» with our known Petrie measured tunnel cross view:

ContractedConstruct: ContractedConstructVerified:

TranspositionPLANtoConstruct — SCALE: 2pixel/1’’

———————————————

PetrieBpointCalculated ¦ Petrie’s Gallery Ramp slope angle 26° 16’ 40’’ — »the B-region angle generator»

Contracted construct — the plan — verified.

— Without our Agent16 alias rJCIRCLE deduced preferences, this described plan and its Petrie defined quantities (within Petrieäs specified tolerances) would have no meaning. It seems settled, that it is only the rJCIRCLE complex that can define the Petrie measured quantities — unless any other explanation will be revealed. Very advanced stuff.

See further below in

The contracted construct.

ResultTUNNELcross: SeventhResult: Example: A CONTRACTED CONSTRUCT

From determined PetrieB and GS-B

THE Petrie CORRIDOR CROSS GOLDEN SECTION PROVABLE CONTRACTED CONSTRUCT

PetrieBpointCalculated — The Petrie B point found as calculated ¦

CHEOPS PYRAMID COMPLEX OFFSET CONTRACTED CONSTRUCT — verified

PLACING the EARTHrJCIRCLE Pyramid Agent16 @PetrieBASE as aligned with the physical pyramid’s (the tourist versions ideal Cheops Rectangle bd=h², PetrieCR) North side (bOFFSET), and aligned with Petries basement (PetrieBASE y=0; height offset), sharing the same metrics, the physical pyramid (tourist version in the end) will reflect the offsetted GS Plan Pyramid’s calculated reference points.

———————————————

GoldenSectionMatrixSYSTEM ¦

Using the GS matrix system’s paragonic gauge as a precise mathematical/geometrical transfer templet, the GS system uses this double offset situation between the two Pyramid agents for defining the xyBhigh/low with The7BEGIN basic ARCtan½ K G L H B M A line points. The Resulting Bpoints define the GS geometric plan in the tunnel cross region. Integrated in its solution is also the connection (B.PG) between the tunnel cross and the Gallery ramp top, defining Petrie’s PetriePG y-coordinate (1658.20’’) at the Pyramid’s center (x=bPETRIE¦ Agent58: Petrie’s half Pyramid base tolerance ± 0.25’’).

That proves in explicit — the Petrie measured verified values — the GS PLAN of the building. And HOW it works from draft to construct — including the (many) several specific angular calculations needed to synchronize the whole. See from Petrie’s here coined HanglePangle.

Course19thHeight: SixthResult: Course19th

37.9653854890’’ ¦ 37.97

hPetrie EXACT 19th Course HEIGHT

Taking the Fifth result’s parallel corridor height Ch = 47.3050516137’’ through the same equation as in the previous SecondResult

we get the height of the 19th stone masonry course as

h19th ¦ 2 = 37.9653854890’’ ¦ 37.97

= (e=Ch=47.3050516137’’)₁cos(C°=ARCtan 1/√R)/cos(C°+ ARCtan ½)

compared to the previous

h19th ¦ 1 = 37.9658061814’’ ¦ 37.97 ; the simple FirstEX scale numerical solution:

= (e=Ch=47.3055757984’’)₁cos(C°=ARCtan 1/√R)/cos(C°+ ARCtan ½)

difference: = 0.0005241847’’ ; = 0.0133143 mM

Petrie’s specification:

PetrieCH7.35.;

” mean doorway height ¦ by measuring courses ¦ 37.94 ± .17 ”

Petrie = 37.94’’ ; specified ± 0. 17’’

difference: = 37.97’’ – 37.94’’ = 0.03’’ ; = 0.762 mM

Petrie verified 19th course height

connecting the descending passage tunnel PETRIE PYRAMID CASING PROJECTED 19th coarse height

————————————————————————————————

CheopsATLA2024.ods Tabell5 A39+

Course19thHeight ¦ EntrancePassageAngle ¦ TunnelCROSS

EPA ¦ PetrieTol017 ¦ yBlimitCALC ¦ yBlimit ¦ yHaBe ¦ yPaHe ¦ yConB ¦ Dsio ¦ SIO ¦ yBlimitALG ¦ PetrieBpointCalculated ¦ FourthResult ¦ yBPetrie ¦ xBPetrie ¦ xPetrieB ¦ CorridorHeight ¦ FifthResult

cLENGTH ¦ ChCORRIDOR — Ch2¦

dSTEP: yPG

dSTEP 35.00’’:

Explain dSTEP 35.0124692565’’: CheopsATLAS2024.ods Tabell2 A89

dSTEP = 50R + yBlimit

EAST SIDE Petrie’s 35.00’’:

dSTEP = 50·0.618033989 + 4.1107698190

= 35.0124692565’’ ¦ 35.01

SCALE: 2pixel/1’’

Difference (Petrie’s EAST 35.00) : 0124692565’’¦ 0.01:

The difference 35.01 – 35.00 = 0.01’’ lies well within Petrie’s tolerance.(± 0.60’’).

Petrie verified.

EARTHrJCIRCLE defines Petrie’s value.

yKING: dSTEP

yKING 1693.20:

Explain yKING 1693.1777299950’’: CheopsATLAS2024.ods Tabell2 A90

yKING = yPG + (50R + yBlimit) = yPG + dSTEP

= 1693.1777299950’’ ¦ 1693.18

Difference:

The difference 1693.20 – 1693.18 = 0.02’’ lies well within Petrie’s tolerance.(± 0.60’’).

Petrie verified.

EARTHrJCIRCLE defines Petrie’s value.

dSTEP — upper Gallery Ramp end ¦ dSTEPcalc ¦ yKING ¦ yKINGcalc

TUNGAL: collective illustration — SCALE: 2pixel/1’’

———————————————

BUARM ¦ yATH ¦ yBarm ¦ bOFFSET ¦ yBlimit

TUNGAL

SIOillustrated:

PANGLE (AGP’)

HANGLE (HAPetriepyramidBase)(AHA’)

n ¦ SIO ¦ y18ROOFconsequences ¦ yConBoffset

SIOillustrated

TheDpoint:

This drawing — after Flinders Petrie’s measures and tolerances on the Cheops Pyramid details (1881-1883) — implies parallelism between the Petrie measured (GR° = 26° 16’ 40’’) Gallery Ramp floor slope, and the Petrie limited measure of the South wall Gallery Roof top pitch point details (GTS, illustration left top). The (Nominal) Gallery Roof sloping angle (GR°) holds only on that presumption and implication of parallelism.

— As Petri puts it himself (”The roof of the gallery and its walls are not well known, owing to the difficulty of reaching them”) the Gallery metrics are only partly known (through the Petrie work group 1883). If any concordant additional 2 decimal inch measures (0.01’’ = 0.000254 M = 0.254 mM) with specified tolerances have been made since, these are not known here. In general (available Internet sources 2024) the overall Cheops Pyramid Gallery details are poorly represented by the type Petrie thorough accounted for metric quantities; Stated quantities without a proper description of the measuring technique, have no value in this presentation (owing to the flora of less ambitious Cheops Tourists never mentioning/relating their sources).

THE GALLERY DETAILS — Cheops Pyramid ¦ Flinders Petrie’s measures [ 1881-1883 ]

https://www.ronaldbirdsall.com/gizeh/petrie/c7.html#46

— Petrie’s text has no mentioning of a parallelism between Gallery roof and ramp floor. Petrie’s calculated Gallery roof length is hence implied from Petrie’s Gallery ramp floor measures.

MAYBE THE MOST CONVINCING

The D-point — not quite the level of entrance to the Queen passage floor, but close

xGalleryNORTH-yQueenFLOORin

yMidQueenChamberPoint = P/2 — x = PyramidCenter

THE GEOMETRIC-TRIGONOMETRIC reasoning behind (EGSf)

(FULLY PETRIE CERTIFIED CALCULATED QUANTITIES ¦ TP26)

is somehow demanding to follow (ExplainDetails) on the specific equations unless already familiar. Not that the equations as such are complicated. But as these sometimes however tend to be extensive (easy to lose track of contemporaneous many balls in the air WHILE reckoning .. before getting to the point: good memory focus training);

— The reader (and the author) becomes easily tired — unless driven by a high level of motivation (high — very high — navigation focus).

— You know: talking to the passenger WHILE driving (90KM/h = 25 M/S);

— Not seldom being noted until crashing (Several Hollywood DVD movies give examples).

Cure: unless focused on »Car Now Moving»: leave it in the garage.

(Diet on much fruit and vegetables greatly increases mental navigation focus: faster, clearer, tighter, higher degree of daily comfort and health, most certainly yes).

A SIMPLER WAY OF EXPOSING THE POINT — Recursive Golden Section Constants, proving the Petrie concordances — is as below (»easy to proof-read»):

— The (geometrical-mathematical) complicated becomes compressed on five (simple) combining constants: 1. TanA • 2. bAgent16 • 3. bAgent58 • 4. R • 5. 18 ¦

We note that bOFFSET = bAgent16 — bAgent58.

Definitely more easy to remember as a proof (√5 is R-integrated).

Explaining the D-point Petrie concurrence:

xyD: QUEEN CHAMBER FLOOR PASSAGE HORIZONTAL and NORTH GALLERY VERTICAL COORDINATE xyPOINT — D

TERMS: b16 = b¦Agent16 ¦ TanA = ½ ¦ The18 — SEE NeutronSquare [EARTHrJCIRCLE integrated]: calculating atomic masses from atomic mass defects, comparing experimental

USES: RECURSIVE CONSTANTS: TanA ¦ b¦Agent16 ¦ R = (-1+√5)/2 = 2/(1+√5): 1/R = 1 + R ¦ 18 ¦ bOFFSET

--------------------------------------------------------------------------------------

xD = OpenOFFICEcellCodeSWEDISHedition

((( bAg16*(1/ROT(5) - GSR^3 - ROT(0.8)*GSR^4))- -TanA*(( -bAg16*(GSR/ROT(5) + GSR^5 + ROT(0.2)*GSR^4)) + bOFFSETx + 18/2))- (-xBhigh- (1/GSR) * ( -bAg16*(1 - 1/ROT(5)) + bOFFSETx/2)))/(1/GSR- -TanA)

((( b16*(1/(√5) - R^3 - (√0.8)*R^4)) - -TanA*( ( -b16*(R/(√5) + R^5 + (√0.2)*R^4) ) + bOFFSETx + 18/2)) - (-xBhigh - (1/R) * ( -b16*(1 - 1/(√5)) + bOFFSETx/2)))/(1/R - -TanA)

= -2907.3786301931’’ ¦ 2907.38

= 2907.3786301931’’ ¦ 2907.38

2907.30’’ ± 0.60’’ ¦ PETRIE (PetrieCH7.39):

difference: 0.08 ¦ approved

--------------------------------------------------------------------------------------

yD = OpenOFFICEcellCodeSWEDISHedition

bAg16*(1/ROT(5) - GSR^3 - ROT(0.8)*GSR^4) - -TanA*( - bAg16*(GSR/ROT(5) + GSR^5 + ROT(0.2)*GSR^4) + bOFFSETx + 18/2) + -TanA*M14

b16*(1/(√5) - R^3 - (√0.8)*R^4)) - -TanA*( - b16*(R/(√5) + R^5 + (√0.2)*R^4) + bOFFSETx + 18/2) + -TanA*xD

= 852.8245796313’’ ¦ 852.82

852.60’’ ± 0.30’’ ¦ PETRIE (PetrieCH7.39):

difference: 0.22 ¦ approved

--------------------------------------------------------------------------------------

Compare direct R multiples:

xD: 4704R = 2907.2318830795 ¦ 2907.23 PetrieCH7.39: 2907.30’’ ± .60’’ DIFFERENCE: 0.07 ¦ still OK

yD: 1380R = 852.8869044749 ¦ 852.89 PetrieCH7.39: 852.60’’ ± .30’’ DIFFERENCE: 0.29 ¦ still OK

Explaining Golden Section Matrix Solution fits:

General: THE READER SHOULD HAVE A BASIC DRAWING/IMAGE HANDLING PROGRAM — following, testing, making personal progress/discovery IF INTERESTED, if time ...

A SUCH DOES NOT EXIST IN ANY FREE VERSION AT INTERNET what we know — EXCEPT HERE a DELPHI4 Windows API developed basic image handling program — which however Microsoft does NOT support a FULL data coverage to: NO AVAILABLE ORIGINAL WINDOWS API HELP FILE CONNECTIVITY — Microsoft killed all such connectivity around 2015. So, in principle: a free fine basic Windows API image handling program exists — but Microsoft does not allow a full programmatic description. Say again. So:

— Where are any established decent cooperators for a free and full tool development in concern of humanity’s basic science insights in mathematics? I see none.

”Restart your computer, or we will do it for you”; ”Pick a time”; ”Let’s kick off”; ”Fuck you asshole”. Microsoft. Computers were for humanity, science. Not for slavery trade. Say.

Stop killing humanity. Box. Dark. The sooner Microsoft 2015+ leaves this planet the better [ Trafficking humanity: cannot handle humanity, computers, mathematics, physics ]: mind liberation of humanity. Disclaim:

— Is world jurisdiction any other than a Microsoft/GOOGLE bought bitch? Police. Prosecutor. Court. Parliament. Surveillance: mindRAPE: Not one word human right recognition. Not a sound. 24/7.

————————

Easy function: R rotate in 90° steps ¦ i invert ¦ Ctrl+D duplicate ¦ H flip horizontal¦ V flip vertical ¦ A fleet move AND ¦ C fleet move COPIED ¦ W fleet skip white ¦ M fleet move/merge: NumPad ± : 0-100% ¦ HowWeDoIt.

Ctrl + 1 2 3 5: MoveMatrix 1 5 20 pixels Half Screen. FULL IMAGE HANDLING ANALYZING CONTROL:

Ctrl + Arrows: MOVE AS SET.

NOTE: The free OpenOfficeCalc does not support PIXEL coordination. Meaning: Very problematic in synchronizing Exact Pixel Drafts/Illustrations/Diagrams.

————————

SCALE: 4534.40’’/100pixel — after the Flinders Petrie Labor Group measures [ CheopsSOURCES ] of The Cheops Pyramid [1881-1883].

Explain details:

TheDpoint: HOW THE CROSSING LINE COORDINATES WERE GOLDEN SECTION ORGANIZED — IN SEARCH OF A PETRIE ACCORDING VALUE — for P4: See Pn-GS series unless already familiar.

— The intersection xyD-point — for Pn-valies, see GoldenSectionPnMATRIX:

The xPb = b — P x-coordinate part is pushed horizontally positive by bAgent16¦58 with bOFFSET/2 = 21.68/2. The Golden Section ARCtan 1/R PbLINE as illustrated above [ CheopsATLAS 2020 orig. TP26].

The xPA = –[piLINE + b¦Agent16(b6 + b5√0.2)] x-coordinate part is pushed horizontally positive by bAgent16¦58 with bOFFSET + 18/2. The Golden Section —ARCtan½ Blow ascending passage line.

Explain:

— THE GOLDEN SECTION MATRIX SYSTEM AS SUCH HAS — what we know — NO DIRECT PlanetEARTHrJCIRCLE CONNECTIVITY: Planck constant, c in vacuum, neutron mass density, Earth mass.

So a such rJCIRCLE adjustment to GS matrix system is allowed — as long as its end station falls within the Petrie given tolerances. And it so does. Compare direct R multiples:

xD: 4704R = 2907.2318830795 ¦ 2907.23 PetrieCH7.39: 2907.30’’ ± .60’’ DIFFERENCE: 0.07 ¦ still OK

yD: 1380R = 852.8869044749 ¦ 852.89 PetrieCH7.39: 852.60’’ ± .30’’ DIFFERENCE: 0.29 ¦ still OK

xyDalgebra:

xD: xQUEENGAL DISTANCE FROM PYRAMID NORTH BASE — i.e.; North [ lower ] Gallery vertical end wall:

(b16[1/√5 – R^3 – R^4√0.8] + TanA[–b16(R/√5 + R^5 + R^4√0.2) + bOFFSETx + 18/2] – (–xBhigh – (1/R)[–b16(1 – 1/√5] + bOFFSETx/2)))/(1/R + TanA)

yD: yQUEENGAL THE LEVEL LEADING TO THE TERMED QUEEN’S CHAMBER:

b16(1/√5 – R^3 – (√0.8)*R^4)) + TanA(–b16(R/√5 + R^5 + (√0.2)*R^4) + bOFFSETx + 18/2) – TanAxD

The5:

THE FIVE RECURSIVE CONSTANTS:

TanA = ½ ¦ Golden Section Matrix System Solutions through ARCtan½

b16 = 4555.88’’

R = GoldenSectuinConstant (1+√5)/2

18 = The18

bOFFSET(x) = b16 — b58 = 21.68

xBhigh = rJCR¦b16High = -1499.7016293661’’ ¦ 1499.70

= b16(1/2(√5) + R^3/√5)

= b16(1/2 + R^3)/√5 direct GS-algebraic = P(1/2 + R^3)

= 1499.7016293661 ¦ as a positive y-coordinate

= -1499.7016293661 ¦ the actual negative x-coordinate xBhigh

Discovered by arithmetic identification.

Compiled:

Compiled:

Dpoint

xyD Petrie ¦ PetrieCH7.39:

x ¦ 2907.30’’ ± 0.60’’

y ¦ 852.60’’ ± 0.30’’

---------------------------------

xyD rJCR:

x ¦ 2907.38’’ ¦ -2907.3786301931 Difference: 0.08 approved

y ¦ 852.82’’ ¦ 852.8245796313 Difference: 0.22 approved

xyD multiR direct GS solutions: R = 2/[ 1 + √5 ] Golden Section Matrix System:

x ¦ 2907.23 ¦ 2907.2318830=4704R Difference: 0.07 approved

y ¦ 852.89 ¦ 852.8869045=1380R Difference: 0.29 approved

PGpoint

xyPG Petrie ¦ PetrieCH6.46:

x ¦ 4534.40’’ ± 0.25’’ half Pyramid base

y ¦ 1658.20’’ ± 0.60’’ 1693.2 — 35 = 1658.2

---------------------------------

xyPG rJCR:

x ¦ 4534.20’’ ¦ 4534.1965759686 Difference: 0.20 approved

y ¦ 1658.17’’ ¦ 1658.1652607385 Difference: 0.03 approved

xyPG multiR direct GS solutions: R = 2/[ 1 + √5 ] Golden Section Matrix System:

x ¦ ——

y ¦ 1658.19 ¦ 1658.185192=2683R Difference: 0.01 approved

Conclusion:

PETRIE’S VALUES CAN BE CALCULATED in general FROM

THE GS GOLDEN SECTION MATRIX SYSTEM’S rJCIRCLE preference Pyramid Agents16¦58

and in special cases directly from multiple R, the Golden Section Matrix Systems Constant 2/[ 1 + √5 ] = [ –1 + √5 ]/2.

CHEOPS PYRAMID DETAILS after Flinders Petrie’s measures [1881-1883]

SCALE: 100pixels/4534.40’’ — half Pyramid base.

TheDpoint ¦ xyD ¦ EGSf ¦ ExplainDetails ¦ xyDalgebra ¦ The5 ¦ Compiled

GalRES21Feb2024:

RESOLVING PETRIE’S GALLERY ROOF MEASURES

GalHeightIssue ¦ SmythTol ¦ GallerySouthWall ¦ GalleryAnglePETRIE ¦ TrigMETH ¦ GalleryRoofSlopingAngle ¦ GalRoofRampDetails ¦ GalleryRAMP ¦ PetrieGalRoofPros ¦ PetrieGalleryRoofDetails ¦

GalleryRoofInvest ¦ SawToothRoofing ¦ iDSangle ¦ NominalGalleryHeight ¦ GalForceConstruct ¦

GalHeightIssue: GalRES

Revisiting Petrie’s Cheops Pyramid Gallery

PETRIE GIVES NUMBERS EXPLAINING THE ACTUAL

Nominal

GALLERY HEIGHT— BUT NEVER SO MENTIONED: 334.30’’ [ ± 0.80]

PETRIE DOES ACCOUNT FOR THE VALUES — BUT NEVER ADDS THEM UP — and never explicitly states The Angle 26° 16’ 40’’ —

but writes it in PetrieCH7.39.Table: ” Variations from mean axis of 26° 16' 40'' altitude": Never mentioned in the text.

Petrie-Smyth measuring solution (1883)

PetrieCH7.46.Table Laps, beginning from the South Gallery Top, measures (plumb line) the FIVE FIRST vertical South wall overhanging blocks down to the bottom edge of the third Lapse on the sum 168.1’’ (no specified tolerance).

” The roof of the gallery and its walls are not well known, owing to the difficulty of reaching them. By means of ladders, that I made jointing together, I was able to thoroughly examine both ends and parts of the sides of the gallery.”, PetrieCH7.46.

Lsum: 168.1 = 33.6 + 33.7 + 33.0 + 34.0 + 33.8

— Petries values in his Laps table, first 5 from Gallery roof top South

Nominal Petrie-Gallery Height: 334.3 (± 0.8)

———————————————

DATASOURCE:

https://www.ronaldbirdsall.com/gizeh/petrie/c7.html - 46

PetrieCH7.46, same text section,.also reports in discussing Lap 3:

” The remarkable groove in the lower part of the third lap, along the whole length of the sides ..”;

” According to Prof. Smyth the mean [p. 74] height of this lap above the gallery floor is

166.2 ± .8 vertically”.

https://www.ronaldbirdsall.com/gizeh/petrie/c7.html - 46

Adding the two measures together, roof to floor, yields a nominal Gallery height

334.3 ’’ = Lsum+ Smyth = 168.1 + 166.2 ¦ ± 0.8

GallerySouthWall: GalHeight

GALLERY SOUTH WALL

Golden section rJCIRCLE solution (Feb2024)

Verticals:

272R = 168.1052449400’’ ¦ 168.11 ; Petrie5FromTop 168.10 = 33.6 + 33.7 + 33.0 + 34.0 + 33.8

÷ 5 = 33.6210489880’’ ¦ 33.62 ; ÷ 5 = 33.62 ¦ same value

Petrie’sTable PetrieCH7.46Table Laps — Petrie never mentions the sum, we have to sum it ourselves as above:

https://www.ronaldbirdsall.com/gizeh/petrie/c7.html - 46

Horizontals:

34R = 21.0131556175’’ ¦ 21.01 ;

÷ 7 = 3.0018793739’’ ¦ 3.00 ;

PetrieCH7.46.Table Laps:

190.92 = 2.9+2.8 + 5.8+5.8 + 9+9 + 12.08+12.18 + 15.08+15.18 + 18.1+18.55 + 21.5+21.7+21.25; averaged;

20.9317142857 = (2.9+2.8)/2 + (5.8+5.8)/2/2 + (9+9)/2/3 + (12.08+12.18)/2/4 + (15.08+15.18)/2/5 + ((18.1+18.55)/2/6 + (21.5+21.7+21.25)/3/7)

÷ 7 = 2.9902448980’’ ¦ 2.99

Petrie mentions 61.7 ± 0.8 at 5 occasions (PetrieCH7.45¦46¦47¦64) connected to ”the great step” on the King’s floor. The central quote in PetrieCH7.46:

” At the upper end of the gallery, we have already stated the S. wall to be 61.7 ± .8 of the Pyramid centre”,

https://www.ronaldbirdsall.com/gizeh/petrie/c7.html - 46

The GS solution uses the 61.8’’ = 100’’R as a unit:

Same values.

R = (–1 + √5)/2 = 2/(1 + √5) = 0.6180339887 ¦ 1/R = 1 + R ¦ GoldenSection Fractal Matrix System Constant

Gallery height:

334.58’’

hG = 334.5766234475’’ ¦ 334.58 ; Petrie-Smyth: 334.30F DIFF: 0.28 = 7.112 mM [Smyth tol.: ± 0.8’’]: approved

= P(Agent58) – dSTEP — yPG

yBlimit — dSTEP associated ¦ recursive constant connecting TunnelCross and Pyramid Casing Entrance values:

Gallery ramp step face height — yPG:

1658.17’’

———————————————

Agent 16¦58 CONSEQUENTIAL MATHEMATICS

As noted: It is impossible to receive Petrie concurrent values without the (matrix) EARTHrJCIRCLE Golden Section Cheops Rectangle bd=h² mathematics agent.

— With it, as noted: »a walk in the park». Resolution217.

MiUNIT: recursive constants

rJ/100R√16000 = 0.025400718 an automatic 0.0254 M unit if so rounded on the Planck Dmax mJ constant. Without this arithmetics: no way. 1’’ = 0.02540 M.

GalleryAnglePETRIE: GalSouthWall

GALLERY Ramp/Roof SLOPING ANGLE

HOW PETRIE MEASURED IT

Gallery RAMP Floor sloping angle:

Galflora°

Petrie measuring solution (1883):

Petrie mentions it once in his table PetrieCH7.45.

[ Petrie’s PetrieCH7.45.Table stated 26° 16’ 40’’] — also so never mentioned in Petrie’s text.

But it is never mentioned in the text:

26° 16’ 40’’ = 26.2777777778°

How Petrie found the Gallery ramp sloping angle, as quoted

————————————————————————

TRIGONOMETRIC MEASURING METHOD for finding THE SLOPING ANGLE along s

known by two fix s-separated points [sHigh, sLow] trough horizontal angles A+B

and the distance to sLow [a].

— Apparently what Petri had to calculate on the sloping Cheops Pyramid Gallery Floor Ramp, provided enough precise instrumental angular values [A and B], and distance measures [a and s]. Quote below.

TrigMETH: GalAngPetrie

Trigonometric method:

HOW PETRIE MEASURED/CALCULATED THE GALLERY RAMP FLOOR SLOPING ANGLE (GR°)

a·sin(A+B) = n; a·cos(A+B) = e; s² – e² = m², = s² – [a·cos(A+B)]² :

n + m = c, = a·sin(A+B) + √s² – [a·cos(A+B)]².

PREFIXxSIN ¦ 1/sin=secans, 1/cos=cosecans ¦ in MAC: 1/sin=cosecans, 1/cos=secans PREFIXxCOS

— The student should handle both — with same ease as knowing the difference between left and right:

♦ Just switch the labels SIN/COS — applies as well to imaginary trigonometric basic algebra. TAN not affected.

— We are broad seeing beings: sine: basic horizontal. Not vertical. »A walk in the park».

—————————————————————————————————————

c = a · sin(A°+B°) + √s² – [a · cos(A°+B°)]² ;

v = c · sinB°

z = c · cosB°

y = a · cosA°

x = a · sinA°

t = v – x

u = y + z

C° = atan(u/t)

= atan([y + z]/[v – x])

= atan([a · cosA° + c · cosB°]/[c · sinB° – a · sinA°])

Petrie’s reasoning:

GALLERY ANGLE DETAILS:

PetrieCH7.39:

” 39. For the angle of the passage, and its straightness, it will be well to consider it all in one with the gallery floor, as they were gauged together all in one length. The angle of slope I did not observe, as I considered that that had been settled by Prof Smyth; but the azimuth was observed, by a chain of three theodolites, round from the entrance passage. The straightness was observed by offsets to floor and side all along it, read from a telescope at the upper end of the plug-blocks. When I came to plot the results, I found that there were no measures taken at the point where Prof. Smyth's theodolite was set up. The sloping floor is nowhere, having been entirely cut away at the beginning of the gallery; and the top of the ramp (to which the theodolite had been referred) was not offsetted by me, nor was its slope measured by Prof Smyth's clinometer for 300 inches from the place. Hence we cannot say exactly what direct relation the theodolite bore to the passage; but we can obtain the angle of slope very satisfactorily, by taking the angles observed to signal at bottom of ascending [p. 65] passage, and to signal at top of gallery, and then (knowing the distances of these signals) calculate the angle of slope from signal to signal.”,

PetrieCH7.39 — THE GALLERY DETAILS — Cheops Pyramid ¦ Flinders Petrie’s measures [ 1881-1883 ]

https://www.ronaldbirdsall.com/gizeh/petrie/c7.html#39

http://www.ronaldbirdsall.com/gizeh/petrie/index.htm

Petrie never mentions the Gallery Ramp Floor sloping angle as such except in his table PetrieCH7.39, accounting for the floor’s variations by successive positions bottom to top relative this angular axis

Petrie’s Gallery Ramp Floor sloping angle in PetrieCH7.39.Table

” Variations from mean axis of 26° 16' 40'' altitude":

26° 16’ 40’’

from where Petrie then calculates the Gallery length, using furter measurements:

Petrie mentions no tolerance on this measured angle.

PetrieHypoGAL:

Petrie uses this angular Gallery Ramp floor slope angle value to calculate the sloping length of the Gallery (roof — implied an unproven parallelism) in total (Petrie’s PREFIXxCOS):

hypoGal = xGal ÷ cosGalRamp°

= 1648.4/cos 26° 16’ 40’’

= 1838.3816534744’’ ....... ; 1838.38

PetrieCH7.46:

= 1838.60 ...................... ; We have better arithmetic aid 2024 compared to Petrie’s 1883

” From this the length of the roof of the gallery is 1688.9 – 40.45 = 1648.4 horizontal, or 1838.6 sloping.”, PetrieCH7.46.

THE GALLERY DETAILS — Cheops Pyramid ¦ Flinders Petrie’s measures [ 1881-1883 ]

https://www.ronaldbirdsall.com/gizeh/petrie/c7.html#46

GalleryRoofSlopingAngle: TrigMETH

Golden section rJCIRCLE PetrieValue-solution

Golden section rJCIRCLE solution (Feb2024)

Gallery RAMP sloping angle ¦ Petrie’sSolution

CheopsGalleryRampAngle: 50% Reduced size, see 100% original sice in separate PNG-file: CheopsGRAngle.

Golden Section Matrix Systems Mathematics — Calculating the Petrie measured 26° 16’ 40’’ actual construct Callery Ramp floor sloping angle:

————————————————————————————————————————————————————————————

The Golden Section Matrix Systems calculated B-region coordinates have — offseted — provisiopn for defining the TrigMETH Petrie measured Gallery ramp sloping angle 26° 16’ 40’’. See original size image in CheopsGRAngle.

How:

Offsetting the yBlo point (defining the yPG point) from xyB-results with

VerticalUP y = 27.48’’/2 = [hOFFSET rJCR — PetrieCR]/2

Southward x = 21.68’’/2 = [bOFFSET Agents 16¦58]/2

Resulting angle from the original Golden Section System’s ARCtan½:

26° 16’ 40.698972’’ = GR°

yPG.yBloOFFS° = 26° 16’ 40.698972’’ = 26.2779719366°

CheopsATLAS2024.ods Tabell2 A142:

GR° = ARCtan (yPG – yBlo – [hOFFSET= h¦rJCR – h¦PetrieCR]/2) / (bAg16 – Abs(xBhigh) + [bOFFSET=bAg16 – bAg58]/2)

Fully Gallery-B-region scale illustrated in CheopsGRAngle.

Further GS solutions, by calculating the Gallery Roof length from the same Petrie provisions, yields

hypoGalleryRoof = 1838.4395278475’’ ¦ 1838.44 DiffPetrie: 0.06’’ approved [PetrieGalHeight tolerance: 0.80]

GalRoofRampDetails: GalAng

GALLERY ROOF SAW-TOOTH MORPHOLOGY:

Gallery roof saw-tooth morphology:

MiUNIT: recursive constants GOLDEN SECTION GS MATRIX SYSTEM SOLUTIONS

rJ/100R√16000 = 0.025400718 an automatic 0.0254 M unit if so rounded on the Planck Dmax mJ constant. Without this arithmetics: no way. 1’’ = 0.02540 M.

100’’R = 61.8033988750’’ ¦ 61.80 ; 61.80/3 = 21.60:

Petrie — directly on our GoldenSection 100’’R=61.8’’ MiUNIT:

” .. here the extreme lines are .. with a supplementary line 61.8 [or 3 × 20.6] ..”,

PetrieCH7.63

https://www.ronaldbirdsall.com/gizeh/petrie/c7.html#63

” This cubit is the regular cubit of 20.6”, PetrieCH7.43 — 20.6 mentioned at 8 places in CH7

— Change the URL #section number to actual section number for direct URL access to the Birdsall Petrie archives — or scroll through the entire Chapter 7 (or others) from

http://www.ronaldbirdsall.com/gizeh/petrie/index.htm

” Probably the base of the chamber was the part most carefully adjusted and set out; and hence the original value of the cubit used can be most accurately recovered from that part. The four sides there yield a mean value of 20.632 ± .004, and this is certainly the best determination of the cubit that we can hope for from the Great Pyramid.”,

PetrieCH7.52.

” By plumb-line measure at the S. end, the roof on the E side is inside the floor edge (or overhangs) 20.50, and on the W. side 20.40. On the S. end (eliminating the lean) the projection is 20.9, and on N. 20.4; mean of all, 20.55, for the sum of the seven projections of the laps, or one cubit, the laps being then one palm each in breadth. Thus the laps overhang the ramps along the gallery sides, and the space between the ramps (2 cubits), is equal to the space between the walls at the top.”,

PetrieCH7.46.

GalleryRAMP: GalRoofRampDetails

” The width of the top of the gallery is 40.9 at N., and 41.3 at S. end.”,

PetrieCH7.46.

” Pyramid gallery widths ........ 82.42 ........ mean diff. .44”,

PetrieCH6.30 on THE TRIAL PASSAGES

Clean-DRAWN and size armed Detail from an older [1890-1900] unknown photographic source (frequently used by a diversity of Cheops Pyramid Tourists, source found as below): The Cheops Pyramid Gallery Ramp details:

SCALE after Petrie’s measures [ 1881-1883 ]: 4534.40’’/100pixels— Cheops Pyramid, inner details

” The trial passages Pl. iii b are a wholly different class of works to the preceeding, being a model of the great pyramid passages, shortened in length, but of full size in width and height. Their mean dimensions — and mean differences from those dimensions — as against the similar parts of the Great Pyramid, are —”, continued in Petrie’s table PetrieCH6.30,

https://www.ronaldbirdsall.com/gizeh/petrie/c6.html#30

— Petrie does not tell what ”the trial passages” is. Other sources explain.

Note: THE TRIAL PASSAGES — a gauging test model directly cut out of the solid rock, no stone masonry:

” Just a stone’s throw from the Great Pyramid we find a set of very odd passages that are very rarely discussed these days, yet which have puzzled some of the greatest minds ever to have explored the Giza plateau.”,

TheHereticMagazine.com, THE TRIAL PASSAGES: A MESSAGE IN STONE?, 2Nov2017

” Petrie believed that they had been built before work on the Great Pyramid commenced, as an attempt to mock-up the layout of the internal passages in the pyramid. Therefore they were named the Trial Passages”.

Older unidentified PHOTO SOURCE IDENTIFIED:

THE GREAT PYRAMID PASSAGES AND CHAMBERS

Volume 1 by John and Morton Edgar, 1910

found through a Danish web site on Cheops Pyramid Feb2020

THE KHUFU PYRAMID — GRAND GALLERY, Stefan A. H. Holmgren (1988+)

http://khufupyramid.dk/inside-dimensions/grand-gallery

A complementary value to the 4 × 61.8/3 = 82.4 value is the Golden Section Matrix system’s 5×P11 = 5 × (bAgent58 = 4534.20’’)R^11–1/√5 = 82.4344878911’’¦ 82.43.

PetrieGalRoofPros: GalRAMP

TAKING ALL THE ABOVE 100R MENTIONED INTO CONSIDERATION:

Petrie has already settled the main proportions:

THE SOUTH TOP GALLERY ROOF ARITHMETIC-TRIGONOMETRIC MORPHOLOGY

Petrie [ what we know: never mentions the Golden Section complex ] refers his measured inch vales — no specified tolerance — beginning from the visible South Gallery Top, left top above:

0 14.5 47.4 61.9 MeanSlab 52.2

With the Golden Section MiUNIT 100’’R = 61.80’’ we would test a corresponding suggested

0 14.5 47.3 61.8 MeanSlab 52.2

Namely — using recursive constants if possible — the Ch = 47.31’’ [ Petrie 47.26 ]

PetrieCH6.32:

”(5) entrance passage height 47.26.”. [ ± 0.17’’ ]

tunnel/corridor parallel height, leading further to the tunnel entrance-casing 19th course Petrie concurrent values [37.97, Petrie 37.94 in PetrieCH6.32].

PetrieCH7.46 — GALLERY DETAILS:

” The roof stones are set each at a steeper slope than the passage, in order that the lower edge of each stone should hitch like a paul into a ratchet-cut in the top of the walls; hence no stone can press on the one below it, so as to cause a cumulative pressure all down the roof; and each stone is separately upheld by the side walls across which it lies. The depth of two of these ratchet-cuts, at the S. end, I measured as 1.0 and 1.9 to 2.0; and the angles of the two [p. 73] slabs there 28° 0' to 28° 18', and 27° 56' to 28° 30', mean 28° 11'; which on a mean slab 52.2 from N. to S., would differ 1.74 inches from the passage slope. The edge of the southernmost slab is 14.5 from the S. wall; the next slab is 47.4 from N. to S.”

THE GALLERY DETAILS — Cheops Pyramid ¦ Flinders Petrie’s measures [ 1881-1883 ]

https://www.ronaldbirdsall.com/gizeh/petrie/c7.html#46

http://www.ronaldbirdsall.com/gizeh/petrie/index.htm

Petrie — no specified tolerance:

14.5 + 47.4 = 61.9

Petrie’s specified Gallery RooF SLAB angle 28° 11’ —

GalleryRoofInvest: PGRP

18Feb2024 — SEEKING AN EVENTUALLY CLEAR PICTURE OF THE SITE @CHEOPS PYRAMID after Flinders Petrie’s measures 1881-1883, THE GALLERY DETAILS

INVESTIGATING PETRIE’S REPORTED SLAB DETAILS:

IF WE ARE TALKING REASONABLY EQUALLY SHAPED AND DIMENSIONED DETAILS, PLACED IN A ROW, MORE OR LESS SLOPING: [ it is implied in the Gallery roof, only partly described ]

The Petrie specified [ PREFIXxSIN ]

— no specified tolerance — beginning from the visible South Gallery Top:

S° = 28° 11’

0 14.5 47.4 61.9 MeanSlab 52.2 ¦ 47.4/sinS° = 53.77558653’’ ¦ 53.78

with the Golden Section MiUNIT 100’’R = 61.80’’ correspondingly suggested

S° = 28° 11’

0 14.5 47.3 61.8 MeanSlab 53.66 ¦ 47.3/sinS° = 53.66213592’’ ¦ 53.66

is so trigonometrically vindicated — given the named provisions:

SawToothRoofing: GalRoi

Given x=43.4 or even 43.3 on the S° angle 28° 11’ there is no trigonometrically uniformly shaped parts possibly conforming to the Petrie stated

”.. mean 28° 11'; which on a mean slab 52.2 from N. to S., would differ 1.74 inches from the passage slope”,

PetrieCH7.46.

52.2 inches between endponts of a slab.

Given the x value in this case, the slab lengt [ c ] cannot be shorter than 53.7. Definitely not 52.2 — provided equally shaped and dimensioned slab block parts.

What we know, no such prfecise information exists — until measured in detail. Petrie only refers his measure on two or three slabs at the south gallery roof top — and there should be some 35 of them, south roof top to north roof bottom.

We will have to wait for such data before any further.

iDSangle: STR

At first:

Identifying Petrie’s Slab sloping angle S° = 28° 11’

The GOLDEN SECTION rJCIRCLE MATRIX SOLUTION:

We use [ the Petrie consolidated] MiUNIT 100’’R/3 = 20.60’’

[ Petrie’s sometimnes used »one cubic» ]

as the y-coordinate on the xBhigh Golden Section solution determined value, taken on the Agent16determined yPG triangle. It gives us

ARCtan(yPG — 20.6)/([bAgent16 = 4555.88] – | xBhigh |)

= 28.1833785191°

= 28° 11’ 00.162669’’

= GR° = Galrosat° ¦ GalleryRoofSawTooth angle

And we can, what is known here, hardly find a more convenient and appropriate example of how gallantly the recursive Golden Section rJCIRCLE matrix system arithmetics works — with Petrie concurrent values.

SLAB DETAILS — to be tested on further available measuring results from the Cheops Pyramid Gallery ROOF details — data below from Petrie’s two or three measured Gallery roof slabs —

no specified tolerance

USING THE GS SOLUTION SET 14.5 ¦ 47.3 ¦ 61.8 ¦ 28°11’

PETRIE’S 14.5 ¦ 47.4 ¦ 61.9 ¦ 28°11’

SLAB DETAILS: theoretically reckoned from Petrie’s specifications — the actual overall details are unknown:

https://www.ronaldbirdsall.com/gizeh/petrie/c7.html#46

Petrie mentions only two of the Gallery roof saw-tooth formed stone fittings (Petrie quoted on the gallery roof details) — on the south Gallery part only. The north lower part (illustrated TheDpoint) is partly on the construction leading in to the so called Queen’s chamber. The gallery floor has no representation there over some 8 horizontal meters. Meaning: The north Gallery lower wall has no direct Gallery ramp floor sloping angle reference point (in that the D-point at that point connects to the Queen’s chamber level). So, we have no complete measuring references over the entire Gallery region details. And the Gallery Ramp floor sloping angle has no direct measurable connection to any the actual floor (at all) at that TheDpoint; The Gallery Ramp slope cannot be directly measured from the D-point. As Petrie puts it (see TrigMETH):

” The sloping floor is nowhere, having been entirely cut away at the beginning of the gallery; and the top of the ramp (to which the theodolite had been referred) was not offsetted by me, nor was its slope measured by Prof Smyth's clinometer for 300 inches from the place. Hence we cannot say exactly what direct relation the theodolite bore to the passage; but we can obtain the angle of slope very satisfactorily, by taking the angles observed to signal at bottom of ascending [p. 65] passage, and to signal at top of gallery, and then (knowing the distances of these signals) calculate the angle of slope from signal to signal.”, PetrieCH7.39.

THE GALLERY DETAILS — Cheops Pyramid ¦ Flinders Petrie’s measures [ 1881-1883 ]

https://www.ronaldbirdsall.com/gizeh/petrie/c7.html#39

http://www.ronaldbirdsall.com/gizeh/petrie/index.htm

NominalGalleryHeight: iDSangle

Introducing the term Nominal Gallery Roof height — relative the extra Petrie measured slab pitches — will (here) relate to Petrie’s actually Gallery roof top point on his referred South wall top — so we would not have to bother on the actual slab pitches variations (some 2’’: -0.61, + 1.38, if equally formed and spaced — which we do not know, only imply, until more precise measuring data arrives).

PREFIXxSIN

Soffset, MaxVERTICALslab and Slab-PITCH Parallel DISTANCE:

Soffset = 14.5/(tanS° – tanGR°)

= 0.6100001567’’ ¦ 0.61

vSLAB = 47.3/(tanS° – tanGR°)

= 1.9898625801’’ ¦ 1.99

vPARA = vSLAB — Soffset

= 1.3798624234’’ ¦ 1.38

hPARA = vPARA/(tanGR° + cotS°)cosS°

= 1.2379473689’’ ¦ 1.24

GalForceConstruct: NomGalHi

This author’s idea of the actual construct — as partly described by Petrie in PetrieCH7.46.

Petrie does not specify the metric meaning in his use of ”on a mean slab 52.2” — the actual ratchet-cut’s measuring reference point to its (Petrie 47.4 inches) opposed pitch. So we have a certain margin to consider until more related (more thorough measuring data is needed on the Gallery roof morphology).

Following the strict trigonometric ideal mathematics, Petrie’s specification of a mean slab length 52.2’’ does not match a mean horizontal slab interval (43.4’’, our preferred testing 43.3). The theoretical slab length value from 43.3¦4 is in PREFIXxSIN

sLEN = 47.3/sin(GR° = 28° 11’)

= 53.6621503168’’ ¦ 53.66

———————————————

sLEN = 47.4/sin(GR° = 28° 11’)

= 53.7756009517’’ ¦ 53.78

Any way we reckon, Petrie’s 52.2’’ mean slab does not match his mentioned mean ditto horizontal 43.4’’.

On the other hand (Petrie quoted on the gallery roof details), Petrie’s values refer only to the two first in the South part. Additional measuring data is needed for a complete picture.

FURTHER PETRIE MEASURED QUANTITIES CONFIRMATIONS BY THE EARTHrCIRCLE GOLDEN SECTION SOLUTIONS WERE GIVEN IN THE 2020 VERSION (CheopsATLAS), as tabled there: Queen’s and King’s chambers.

— By that time — Resolution217 was unknown then — we had issues on the gallery roof height details. It is now an archive, referring the details in our preceding works.

TheDpoint

GalRES21Feb2024 — GALLERY RESOLUTION 2024 ¦ GalHeightIssue ¦

GalleryRoofInvest ¦ SawToothRoofing ¦ iDSangle ¦ NominalGalleryHeight ¦ GalForceConstruct ¦

Summing:

In summing the impressions: We could easily say that the above

———————————————

Resolution217 ¦ DETERMINING/testing THE CORRIDOR HEIGHT ¦ How Petrie Calculated THE ENTRANCE ¦ The height of the 19th course ¦ CONSEQUENCES ¦ Determining the B point

is the main construction plan of the building, judging from the calculated results: Petrie verified.

SOME READER MAY THINK OR ASK: Is this some kind of a magic?

— I don’t like Type Magic. (»Fancy Inexplainable Crap»).

— »Magic numbers .. magic equations .. ».

No. Most certainly NO.

— What is it then?

This author would say:

AS CLOSE AS WE CAN GET TO THE ANSWER

ARITHMETIC RESONANCES

»Life stuff».

— In biology — life chemistry (there are several examples [PearlBoatShell Nautilus Pompilius ¦ M74GS]) but also in our universe in general — the Golden Section Mathematics have good credit:

ARITHMETIC RESONANCES (The Atomic Universe)

M74GS: Summing ¦ METHOD

———————————————

M74GS ¦ Hale Observatory

GOLDEN SECTION MATRIX SYSTEM

—————————————————

It is NOT magic (which of course it is).

— It is an arithmetical resonance. See Resolution217.

Like a rare flower — on orderly provisions, no messing around.

Compare The ITERATOR (IteratorMechanics): what is and what is not.

It takes ON CONVERGENT — or rejects DIVERGENT. Basic Life biochemistry.

Or simpler: music. Symphony. Only those motivated enough pass.

Old stuff. Very.

(And someone knew it before us .. but modern corridors have a real hard time with that one, as they cannot handle even the present one, without killing the foundation: nature).

Summing ¦ M74GS — ARITHMETIC RESONANCES

PyramidCoordinateSystemChEX

The PYRAMID COORDINATE SYSTEM

The (1881-1883) PETRIE CHEOPS PYRAMID MEASURED ADOPTED PYRAMID COORDINATE SYSTEM

THE IDEAL CHEOPS RECTANGLE bh=h² PYRAMID BASIC COORDINATE PREFERENCE

SCALE: 248pixels/4534.40’’ — exaggerated M° angle for clarity

Agent 16 ¦ Agent 58 ¦ REMAINING CASING illustrated

M°

Suggested stone masonry angular slope — not the flat case C°.

Petrie (PetrieCH6.24, table: ”Casing stones in situ, N side, by theodolite”) gives no comprehensible specification of the remaining actual staircase masonry angular slope (Petrie’s description of his measuring method, where, how and in detail, is partly unclear,). He only discusses angular values associated with the original now removed casing, with reference to measures (the actual table) on the few remaining ground base casing stones (at the Pyramid’s north side). And concludes,

” N face, by entrance passage mouth 51° 53’ 20’’ ±1’ ”.

Petrie does not clarify what is meant by ”face” — if it is the FACE of the Pyramid we actually SEE NOW, the actual staircase masonry — or Petrie’s IDEA of the Pyramid as ”CASING RESTORED” in his PlateXI.4, as quoted;

The simple corresponding PetriePlateXI.4 illustration — North side Pyramid wall:

— descending passage floor (A) line is (mirror, optically) reflected/diffracted on the outer original casing, giving a horizontal reference to The 19th Course and its decisive height (37.94’’). The parallel height (e) of the descending corridor reflects the thickness of the 19th course masonry. As Petrie states: several other Pyramids expose the same principle construct. See

PETRIE BREAKS THE ENIGMATIC ICE.

”The diffractive effect” described by Petrie — from the entrance passage slope to 19th course height — was never observed in this first production 2017 (The rJCIRCLE Discovery). It was noted here in UH first on the 2020 version (CheopsATLAS, ConPent), after reading about Petrie’s studies on the nearby Pyramid constructions (PETRIE BREAKS THE ENIGMATIC ICE). And first now Course19th in this version (Jan2024), the 2020 version derived ”How Petrie reckoned the Cheops Pyramid Entrance” trigonometric equation was tested in full on the already Petrie given values. It revealed what was never before revealed. Further below. It is sometimes strange how a revealing detail ”waits” until the proper moment when it will give the most of its light — included the possibility that the author got it all wrong. Because before that, »nobody understands its full meaning». As experienced.

Petrie also (clearly, Petrie Plate9 ¦ partly Copied2017) reports the general size of stones at the base to be larger (some 1.5 M high), extending to the top smaller (some 0.5 M high). So it would be only rational (but here with zero actual proof) if also the casing stones would have the same constructive feature. Meaning (here with no proof): The stone masonry slope (M°) should be slightly steeper (greater) in angle than the final (now gone) outer flat casing (C°).

Application: PCS

The proof

Petrie’s own specified/measured values (Course19th)

eParallel = 47.26’’

h = 37.96’’ (Petrie calculated)

Passage° = 26° 29’

gives through the trigonometric connection

(in this version it must be iterated, see 19thITERATED)

Modern academia writes the equation: h = e • sinA/sin(A+B): see PREFIXxSIN

unless already familiar: With given ehB, A is solved:

Σ° – (acos[(h/e)cosΣ°] = A°) = B° ; Σ° – B° = A° ¦ iterative solutions in PREFIXxSIN

MAYBE THE LAND SURVEYING INSTANCES HAD NO KNOWLEDGE OF THE CONNECTION AROUND 1880.

OR — AND — PERHAPS STILL UNFAMILIAR [ which indeed would be the strangest ..].

— That is: Petrie didn’t reckon The Site. Not at all. Only partially on traditional simple direct trigometrics.

a flat casing angular value of

51° 49’ 34.66’’

AN ALMOST DIRECT GOLDEN SECTION CHEOPS RECTANGLE bd=h² SOLUTION answer

It is apparent that the Petrie working group (1881-1883) never used that revealing equation. Its result clearly reveals a direct connection to the Cheops Rectangle GS Golden Section Matrix System solutions:

51° 49’ 38.25’’ difference: 3.59 arc seconds

Petrie’s own close ehB° specified measures as quoted.

Not the Petrie claimed/concluded (Petrie Pyramid Angle)

51° 53’ 20’’± 1’

It should have been clear already year 1883:

THE EQUATION proves A Golden Section connection

USING THE PETRIE MEASURED FACTORS e47.26’’ ¦ h37.94’’ ¦ entrance passage angle 26° 29’.

It is impossible to miss — if the equation is employed. It apparently wasn’t.

Never mentioned.

PCS — PYRAMID COORDINATE SYSTEM¦ Application

PetriePlate9Issues:

USING PETRI PLATE 9 (”ix”) FOR VERTICAL EVALUATION IS STRICTLY HAZARDOUS

As already pointed out (2020: CorruptedPetriePlate9):

It would be rude to assume that the actual (1883) drawing of Petrie’s measured values is correct only horizontally, but not vertically:

CORRUPTED VERTICAL METRICS

RELATIVE PETRIE’S SPECIFIED VALUES,

example Petrie’s Plate.9:

Orange: Petrie’s values on correct Vertical/Horizontal scale

852.60’’ ± 0.30’’ ¦ PETRIE — PetrieCH7.39

PETRIEpG

The ill Petrie synchronized vertical scale has significant overshooting with growing height — with a perfect horizontal Petrie measure representation. The verticality issue might be the result of an (after 1883, less precise) electronic copy. We do not know that, however.

The point:

• Using the present Internet Petrie Plate9 (”Plate.ix”) drawing for comparing or analyzing measures will generate direct errors.

• We can use it for (narrow vertical) illustrations to Petrie’s reasoning or orientation:

• But the vertical metric scale is corrupted :

• Consult only the Petrie specified values.

• We have no other reference.

We try to stick consequently to Petrie’s specified values and their tolerances (two decimal rounded inch values — at least six decimal rounded meter values: type 25.12’’ = 0.6380480000 M).

Several (many) Cheops Pyramid sources @Internet uses a diversity of (modern academic invented, what we know) so called units (type CUBIT [also sparsely mentioned by Petrie (some 100R/3 = 20.6’’)]) — at worst specified in centiMeter cM units type ”51.2 cm” — a quite useless information and specification in this presentation (0.512xxx at least to find a fair Petri 2 decimal inch correspondence).

(It seems strange why persons after the thorough Petri measurements do not adopt Petrie’s measuring standard: 1’’ = 0.025400 M).

(Maybe it is more convenient to use the unit OneARM, considering the age of the place, and its level of intelligence).

We are 100% dependent on that precision standard in this comparing Petrie presentation.

PetriePlate9Issues

GoildenSectionMatrixSYSTEM:

R = (–1 + √5)/2 = 2/(1 + √5) ¦ 1/R = 1 + R ¦ R = 0.618033989.. GOLDEN SECTION CONSTANT

AS in the 2017 original DEDUCED

THE bd=h² GOLDEN SECTION MATRIX SYSTEM

THE PYRAMID/triangle/GoldenSectionSolutions ANGLE ARCtan 1/√R is the one where the PyramidMatrix relation bd=h² counts.: C° = 51.8272923730° = 51° 49’ 38.252543’’.

Geometry ¦ Algebra ¦ Circle-square matrix algebra ¦ b¦Pn Chart matrix algebra ¦ b¦Pn matrix algebra ¦ Geometric matrix series ¦ Pyramid matrix ¦ METHOD

SEE ALSO LIGHT’S GRAVITATIONAL DEPENDENCY FROM CHEOPS RECTANGLE bd=h² MATHEMATICS — really: basic physics force math — never mentioned in modern teaching system.

IT UNVEILED THE DEDUCTION OF THE ATOMIC NUCLEUS — Planck constant h = mcr = THE NEUTRON (TheNeutronSquare):

IT UNVEILED THE APPEARANCE OF THIS PRODUCTION’S TESTING rJCIRCL CheopsPyramid E GOLDEN SECTION PYRAMID MATRIX COMPLEX.

A special article explains the deduction of the Golden Section’s central line:

ArcTan½ line angle 26° 33’ 54.18424’’ = 26.565051177°.

GSgeometry: GS geometry

CHEOPS RECTANGLE bd = h²

GSalgebra: GS algebra

CHEOPS RECTANGLE bd = h²

GScSMal: GS circle-square matrix algebra

CHEOPS RECTANGLE bd = h²

GSbPnCHmal: GS b¦PnCHART matrix algebra

CHEOPS RECTANGLE bd = h²

GSbPnMaSER: GS b¦Pn matrix series

CHEOPS RECTANGLE bd = h²

GSmaSeries: GS geometric matrix series

CHEOPS RECTANGLE bd = h²

PyramidMatrix: GS Pyramid matrix

CHEOPS RECTANGLE bd = h²

GoldenSectionMatrixSYSTEM ¦ GSgeometry ¦ GSalgebra ¦ GScSMal ¦ GSbPnCHmal ¦ GSmaSeries ¦ GSPyramidMatrix ¦ GSgeometry

VOOD: GoildenSectionMatrixSYSTEM ¦ RITa ¦ EARTHrJCIRCLE

VERIFICATION METHOD —

Petrie-EARTHrJCIRCLE-CHEOPSRECTANGLE-CheopsPyramid verifications

ANY METRIC DEVIATION BETWEEN PETRIE’S MEASURED AND PRESENTED VALUES, AND THE IDEAL GOLDEN SECTION CHEOPS RECTANGLE PYRAMID (GoldenSectionMatrixSYSTEM) IS IN THIS SCALING METHOD VIEW AS BELOW: NOT VISIBLE AT ALL. No provable difference. Not by angles, not by metrics.

THE TEN FIRST

PrJC-ver1 ¦ PrJC-ver1 ¦ PrJC-ver1 ¦ PrJC-ver1 ¦ PrJC-ver1 ¦ PrJC-ver1 ¦ PrJC-ver1 ¦ PrJC-ver1 ¦ PrJC-ver1 ¦ PrJC-ver1 ¦

MethodSTRUCTURE:

The end result, always, no exceptions:

END RESULT STRUCTURE

————————————————————————————————————————————————

Explain:

The EARTHrJCIRCLE Pyramid Agent16 has the PLAN construct in the GOLDEN SECTION MATRIX CHEOPS RECTANGLE bd=h² SYSTEM. Agent16 is supported and assisted by Agent58 — A Petrie tolerated spouse. Calculated values always, no exceptions, should always end up INSIDE the Petrie measured values — with Petrie’s specified tolerances.

— So: The PLAN defines the Petrie measured Construct — or not at all.

The reader/author has only to find one single exception from this named order, and this presentation has no longer a meaning.

METHOD: Structure

SO WE ONLY HAVE TO PINPOINT STRICTLY VISUAL CONGRUITIES USING THE BELOW DEPICTED ab MATRIX SYSTEM. AND IF, AND WHERE, WE CAN FIND SUCH CONGRUITIES, ANALYZE THEM MATHEMATICALLY THROUGH THE GOLDEN SECTION DEFINED MATRIX SYSTEM MATHEMATICS.

— SEE A FIRST (CLEAR) EXAMPLE OF HOW IT WORKS IN FirstEX and The7BEGIN.

d Scaled version of Flinders Petrie’s measured Cheops Pyramid EastWest — half Pyramid base (b) from Petrie’s 4534.40’’ ± 0.25’’ :
SCALING: (b=4534.40’’)/100pixels.

c extracted inner structure (the cropped connection over x has been omitted here due to Petrie’s own description of its partly unavailable, and partly adventurous, measuring environment: several different @Internet sources have different solutions to this so called Grotto passage, and no related precise scaled version is known here).

b The complex Circle-Square Golden Section Matrix System, here detailed in
CircleSquare Matrix Algebra ¦ b¦PnCHART matrix algebra ¦ b¦Pn matrix series ¦
Geometric matrix series ¦ Pyramid matrix

a As in b but only the pure fractal linear-square matrix

— If the Golden Section Matrix calculated values lie inside Petrie’s specified tolerances, the calculated and the measured renders same status. And we (here) state that a

Petrie-rJCIRCLE-CheopsRectangle-CHEOPS-PYRAMID verification has been solidified.

— ONLY — and nothing else but only — if all (the general shape and content) Petrie presented measures win such a status, we can state that the calculated values from the Golden Section complex defines the Petrie stated quantities. That holds of course only as far as an actual measure is available — and related reliable:

— The partially generally bad shape of the remnants of the building includes the long gone outer casing. Except related to a few stones at the base (Illustrated) from where Petrie got the Pyramid North reference to the measures, there are no other left ideal reference points (bPETRIE=4534.40’’) relating the Pyramid’s outer shape.

— If we find even one single Petrie measure value that cannot be explained by the Golden Section complex, we must surrender and admit that there is no overall accord.

As yet (Jan2024) no such disclaiming argument has shown up. Still searching, testing, recalculating, reanalyzing, checking, rechecking .. Again. Please.

THE METOD EXEMPLIFIED:

Method exemplified in determining the suggested GS plan’s exact corridor height — calculating the difference between two (GS) Golden Section Matrix System alignments, using line intersection mathematics (DeLIC) from the suggested (The7) basic points on the ARCtan½ line. See detailed description in

DETERMINING THE B-POINT — TheTunnelCross (BpointDetermination).

VOOD —VERIFICATION METHOD¦ MethodSTRUCTURE ¦ METHOD ¦ NotesOriginal2017 ¦ CalCards ¦ Kalkylkort ¦ CONTENT

NotesOriginal2017: Jan2024

Notes to the original presentation 2017

— The 2017 version uses the GS (GoldenSection, Swedish GYLLENE SNITTET) matrix b-square prefix (bR^n) as the Petrie CR agent’s 4534.32’’ — on the actual Pyramid base b = 4556.01’’ rJCR agent.

— These later versions (2020+) have only one and the same (GpointParams) GS matrix base prefix:

• we do NOT mix different Pyramid Agents with each others GS matrices: GSmatrixAgentA for AgentA, GSmatrixAgentB for AgentB only.

— Agent16’s b[rJCR¦b16] = 4555.88’’ (4555.876483882) connects the slightly larger Pyramid agent (Agent 16: the actual original Plan body as GS-related).

— Its half Pyramid base b = 4555.88 belongs to the (for Petrie’s Cheops Pyramid) hidden construction plan. And as such orderly as seen DEFINITELY NOT within the slightly smaller PetrieCP 4534.40’’ Pyramid half base tolerance (±0.25’’).

— The larger Agent16 (the Construction Plan) gives preferences to the final construct ALONG WITH calculated data from Agent58 — exposing the edifice which Petrie did measure on.

How it works on the end picture is exemplified and illustrated/proven in The Seventh Result: the different Pyramid Agent calculated parameters in the corridor crossing points define the Petrie measured B-point, and the corridor height, and the thickness of Petrie’s measured 19th stone masonry course — only using the offset distance (21.68’’) as »a final concealment» between the two agents 16¦58. Very sophisticated stuff. No doubt. No way a student can reveal that hidden plan, unless familiar with our deduced — and unveiling EARTHrJCIRCLE and its related Resolution217: Petrie’s 4534.40’’ value — with 99.9999832% certainty.

However: If the reader finds other ways, don’t forget to update.

Also the connection between that crossing point parameters and the end part of the Great Gallery (TCC) exposes how the Petrie measured data becomes fully explained through the rJCIRCLE calculations with its associated Agents 16¦58.

— We would state, that the earlier 2017 version did not have the later (2020+) ambition in calculating all the different details, only the (at that time the) most prominent, proving a general match.

— So comparing with the 2017 version will not do here, »except for the most basic».

This presentation (Jan2024) is more or less a compressed — more dense — description of the whole complex in the 2020 version (CheopsATLAS). We frequently refer links from there (and the Golden Section Cheops Rectangle basic mathematics in the Swedish 2017 original CheopsRektangel).

NotesOriginal2017

CalCards: Kalkylkort: NOTE. OpenOffice SpreadSheet. Swedish EditionOnly

CalCards

Accounted mathematics result in the open and free OpenOfficeCalc Spread Sheet program — in the Swedish cell code version

PART OF THE AIM behind these open (author’s working original) available CalCards is of course

• first the availability of the proving mathematics on exact basics

• with the possibility for any interested reader to make own tests, or further, whatever

• offering a complete open access index to the complete work behind the main text :

• we leave no one behind in related physics and mathematics, as far as we can.

——————————————————————————————————————

THE SWEDISH OPEN OFFICE CELL CODED VERSION —

we do not know how the cell code looks if opened in an English version — if at all ;

— We should have thought about that from the start [ 2008 ] — which we didn’t.

CheopsATLAS2024.ods

kalkylkorten nedan DIREKT FRÅN DEN HÄR WEBBLÄSAREN CheopsATLAS2024.ods — se öppningsmanual om ej redan bekant — eller kopiera URL:en nedan till valfri webbläsare (vilket som fungerar — förutsatt att SVENSKA VERSIONEN av gratisprogramvaran OPEN OFFICE finns installerad på datorn)

http://www.universumshistoria.se/AaKort/CheopsATLAS2024.ods

TABS named (Swedish) Tabell 1 2 3 .., T1 2 3 (Engl. Table)

——————————————————————————————————————————————

T1 A1+ General light speed gravitational dependency evaluations;
A24+ Initiating WorkingDraft compilations, the different Pyramid Agents, preparing ..
G48+ Strange OpenOffice mathematics behavior: ” INTEGER(29) = 28” — transfering angle DMS format to degrees
A54+ Height of Cheops Pyramid 19th Course, comparing Petrie data with Agent16 calculated results
A65+ as above — multiple testing inputs

T2 A1+ Agent 16¦58 — the entire calculations compressed in successive order with the npin factor selection;
Additional evaluations blocks, where cell space allows (specified in the main text, if used)

T3 Empty, for use

T4 RESTS FROM FIRST DRAFT (can be overwritten)

T5 A1+ First compiled results preceding T2 — with additional drafting evaluation blocks (incorporated in T2)

T6 Like T4 — initiating preparations ..

CalCards

Cheops ATLAS Glaciation — Jan2020 ¦ Appended Jan2024 on Resolution 217.

innehåll: content SÖK på denna sida Ctrl+F · sök alla ämnesord överallt i SAKREGISTER · förteckning över alla webbsidor

Universums Historia — Cheops ATLAS Glaciation

innehåll CONTENT

CheopsATLAS Atlantis — Geological Glaciating Door

CallingAtlantis — Roger .. Roger .. Mayday .. Mayday .. ATLANTIS NEVER EXISTED. So you keep saying ..

BaG — Bakckground

AtlantisCHEOPS — GEOLOGICAL GLACIATION DATA PROMOTE AND SUPPORT THE GEO ATLANTIS ALTERNATIVE

AgifRef — America Africa-Europe continental drift map 400Mya till now (ya, years ago)

MaKartan — The situation some 3Mya

IcyNorth — evolving scenery

NorthAtlanticGlaciationQuotes

Seager2007a

WikiQuater — glaciation and continental drift

InterGlac100 — fast 100y glaciation variations

WikiHolo — Wikipedia (15 000 - 10 000 ya) Holocene quote

WikiSahara — The African humid period during holocene

NOTE24Feb2024 — Connecting to Appendix: Resolution 217

FAN — INTENSIFIED EXPLANATION

DeTiLi — DEVELOPING TIME LINE

GGVD — GEOLOGICAL GLACIATION VARIATION DATA

WikiTimeGlac — WIKIPEDIA, TIMELINE OF GLACIATION

Seager2007 — ”simply astounding”

Function — THE UNPROVEN FRAGMENTING AMERICA-AfricaEUROPE BARRIER

NorthOnly — the reported abrupt climate changes pertain to the Northern hemisphere only

NotedFacts — short illustrated summary

AppendixRESOLUTION 217 — ADDITION 10Jan2024

-------------------------------------------

RITa — READ IT AN WEEP — Explained in Resolution 217

EARTHrJCIRCLE — the neutron Dmax and Planck constant defined Earth mass neutron max density spherical radius

EARTHrJCIRCLEequation — Resolution 217, explaining the idea: bPETRIE’S 4534.40 as 4534.399236463: A 99.9999832% MATCH

bPetrieDetermination — Resolution 217, explaining the idea: bPETRIE’S 4534.40 as 4534.399236463: A 99.9999832% MATCH

Resolution217 — INTRODUCTION

First result ChEX — EXAMPLE: DETERMINING/testing THE CORRIDOR HEIGHT — the scaling precision

FirstEX — Ch = 47.3055758’’ ¦ Petrie measure: 47.26’’ (± 0.17’’) — approved

Res1 — RESULT 1

EXPLAINResolution217 — identifying the numerical value of 4534.40 from the rJCIRCLE GoldenSection Pyramid complex

PyramidData — THE 4 PYRAMID AGENT’S BASIC DATA

PetrieCP — Petrie’s measured Cheops Pyramid

bPetrieTol — Petrie’s half Pyramid base tolerance ± 0.25’’ — sets a measure by length reference standard to all the distances in this presentation, unless otherwise stated

PetrieCR — Petrie’s Pyramid base determined [ 4534.40’’ ± 0.25’’ ] corresponding Golden Section Cheops Rectangle

TolASP — Petrie related general tolerance aspect

rJCR — EARTH rJCIRCLE defined Cheops Rectangle

rJCRtab ....................... — rJCR Golden Section related tabled values

rJCRb — rJCR half Pyramid base

hrJ — rJCR Pyramid height

rrJ — rJCR Cheops Rectangle construct circle

kFACTORrJ — EARTHrJCIRCLE

hDIFFmain ................... — rJCR – PetrieCR = 27.482385374’’ ; 27.48’’ = 0.698052589 M

Agent58 — PetrieCR¦b58 — bPetrie = 4534.20’’ — Petrie’s 4534.40’’ ± 0.25’’ associated

Agent16 — PetrieCR¦b15 — bPetrie = 4555.88’’ — rJ associated Petrie Golden Section Agent Pyramid, same as Agent 58 but with its Pyramid base rJ associated

Pref — Golden Section P

CalTePEM — calculating the Petrie measures — MiUNIT details defining a close relation to Meter and INCH

ExplainingGSPA — EXPLAINING THE DIFFERENT GOLDEN SECTION CHEOPS RECTANGLE MATHEMATICS bd=h² PYRAMID AGENTS

Content217 [ bd=h² Cheops Rectangle basic math second degree equation illustrated below]

CaseHistory — 2017+

TST — THE SIMPLE TEST

Rref — the Golden Section Constant

rJref — EXACT CALCULATION IN OPEN OFFICE OF THE EARTHrJCIRCLE neutron Dmax Planck constant related value

k0ref — the rJ Golden Section Pyramid transfer factor

TheUNITS — The regular Resolution217 article

FullyRelated THE GOLDEN SECTION EARTHrJCIRCLE DEFINITION OF PETRIE’S 4534.40’’ HALF BASE CHEOPS PYRAMID

Explain217 THE GOLDEN SECTION EARTHrJCIRCLE DEFINITION OF PETRIE’S 4534.40’’ HALF BASE CHEOPS PYRAMID

FirstPROOF — The rJCheopsRectangle contains a numerical »automatic meter(1)-inch(0.0254)» unit

MiU — Meter Inch UNIT

Special — xBhigh has a simple numerical y-equivalent

INCHref — the INCH unit in the rJCIRCLE complex

rJprim — the rJCIRCLE Cheops Rectangle associated — k = rJ = 198.566539706 M

TheFACTORS

The58 The 58 factor

bPETRIE 4534.40’’ ± 0.25

The18 The 18 factor

The16 The 16 factor

-------------------------------------------

CALTEP — CALCULATING THE PETRIE VALUES

Num217REF — 2 • 3 • 18 = 108 = 2 • 2 • 3 • 3 • 3; 108 + 109 [PRIME] = 217. RESOLUTION 217:

(b¦2b¦h¦d¦x¦r¦P¦P/2¦P/r¦k¦R¦k0)/(h¦rJR – h¦PetrieCR = 27.482385374’’ ¦ 27.48), CheopsATLAS2024.ods Tabell5 A7+:

CheopsATLAS2024.ods Tabell5 A7+ — how it was found: the contracted constructF: Cheops Rectangle bd=h²:

— IN THIS Pyramid/TriangleFORM bd = h²

A SECOND DEGREE EQUATION shows up as 1 = x + x² — with the solution: x = R = 0.618033989: the Golden section constant.

The equative form is: There is only one unique Pyramid¦triangle body where the product of its base b and its sloping side d

equals the height h:s square. That is: R, the Golden section matrix system solutions. Basic math. See further: C19thITERATED.

PetriePyramidAngle — quoting Petrie on specified Cheops Pyramid data

RadioCarbonDating — new perspective on The Cheops Pyramid Origin — and the Atantis aspects: safe mortar datings — the mortar contains organic ashes

EntrancePETRIE THE MATHEMATICS PROVING THE GOLDEN SECTION CONNECTION

Second result THICK19th — The Triangle Equation — how Petrie reckoned the 19th course’s stone layer’s THICKNESS — builds on FirstResult

EquationSecond — the AB Equation

ResultSecond

PetrieCalculated3796

Course19th

EquationSecondITERA

CONSOLIDATION PROOF PETRIE.GOLDEN SECTION SOLUTIONS

Stressed5153

C19thITERATED

C19thCHECKED

Explain19th

FirstExercise

PetrieQUOTE19th

-------------------------------------------

MENU the following sections in order by their link names — proving the Petrie coherences

-------------------------------------------

The7BEGIN THE MAIN CONSTRUCTION LINE. the seven points K L M G H B A

GpointParams — determining K [F] G H A

FIRSTyxA — the Enter North Pyramid side [ A ] xy coordinates — featuring the PLAN DRAFT construct

BpointDetermination — DETERMINING THE B-POINT — TheTunnelCross

xyBPetrie

GSBsolutions

DeLIC — Deducing the LINEintersectingCONNECTION

BupLowOrg — how it is organized

Bupper

BPco — HIGH POINT B-point coordinates — Agent16¦58 PLAN COORDINATES SOLVED

BPAL — THE THREE POINT DETERMINATION TRIANGLE EQUATION — solving for a dual line cross

Blower

CORIH — LOW POINT corridor height coordinates — Agent 16¦58

LineCROSSxy — B POINT DETERMINATION

xPAref

xBhigh B POINT DETERMINATION

yBhigh B POINT DETERMINATION

ResultBpoint — table presenting resulting values — Bpoint HIGH and LOW

-------------------------------------------

Height18

SolutionA — INTRODUCTION TO SOLVING THE HEIGHT OF THE 18th ROOF — Petrie’s 19th FLOOR

DIVA

THEnFACTOR — diving into the inner of Cheops Pyramid

IdealAndConstructAngle — THE REASON WHY THE PYRAMID’S ~100 M LONG DESCENDING NARROW TUNNEL HAS NOT THE GS PYRAMID CONSTRUCT EXACT ArcTan½ ANGLE

nSymmetry — Petrie’s subterranean details — the two Pyramid Agents 16¦58 Solve the Problem

PetrieROOF18 — quote

THEn — Petrie’s subterranean details — the two Pyramid Agents 16¦58 Solve the Problem

Npin

ConfirmingPetrie19th

Third result rJCIRCLEverified — rJCIRCLE COMPLEX VERIFIED — y18thRoof = 668.20’’

y18ROOFcon — RESULT HAS CONSEQUENCES LEADING TO FURTHER RESULTS — introducing [ » Petrie’s » ] HANGLE and PANGLE

EXTRECON

HanglePangle — the decisive angles leading to the solutions — The Eighth and Ninth result — but Petrie has added a Question Mark on our Pangle tolerance ” ± 5 ’’ ? ” :

IF we are allowed to round 17.486 arc seconds to 18 — Petrie’s .. 23’’ ± 5 ’’ — we are precisely on the edge of approved — if skipping Petrie’s question mark:

Rounding 17.48 arc seconds becomes 17.5 — »which becomes 18» — if arc second rounded on a questionable edge.

CDetailsH18 CALCULABLE GOLDEN SECTION MATRIX DETAILS

ExtraCON — EXTRACTING THE RECURRING CONSTANTS

nHYPO detail

Rot125 method om ARCtan½: dHYPO = √ d² + [d/2]² = d √ 1 + 1/4 = d √1.25

8th PANGLE — PANGLE — 26° 31’ 17.486’’ ¦ Petrie: 26° 31’ 23’’ ± 5’’ ? — See note below on HangPang.

PetriePangle — Petrie as quoted

8th EighthResult

dREF detail

9th HANGLE — HANGLE — 26° 28’ 58.774’’ ¦ Petrie: 26° 29’ ± 1’

PetrieHangle — Petrie as quoted

9th NinthResult

ConPlanG — construction plan G

GregionFactors

Results123 — summing the first three results

PETRIExA

ExplainA — relating the Second Result

RevisitingTheAngle

PETRIExARelated

INcon

ConfirmedPetriePoints

FormatingBUARMyATH

yATHcalc — ascending tunnel height calculations from previous results

BUARM detail, B-point Upper Ascending ROOF Mean average

yATH detail, Ascending Tunnel Height, base value

yBarm detail, BUARM + yATH

TUNNELcross plan in view

yPG

BconnectingPG

PetriePG

yPGcalc

PyramidCenter

EPA EntrancePassageAngle — DETERMINING/testing THE »exact» CORRIDOR HEIGHT

PetrieTol017 — relating Petrie on a specific tolerance specification — referring a collected table with Petrie’s specified angles

yBlimitCALC

yBlimit detail — absolute Construct Limit HBA floor

yHaBe yHangleBend

yPaHe yPangle Hend

yConB — absolute HBA construct limit floor base

Dsio

SIO

yBlimitALG

Fourth result PetrieBpointCalculated

yBPetrie

xBPetrie

xPetrieB

Fifth result CorridorHeight

cLENGTH

ChCORRIDOR

Tenth result TCC THE CONTRACTED CONSTRUCT — from tunnel cross to Gallery top — The Great Step

TranspositionPLANtoConstruct

ContractedConstruct

ContractedConstructVerified

ResultTunnelCross

Seventh result EXcontractedConstruct — proving the Pyramid Agents 16¦58 horizontal offset to merge with the Petrie B-point measured descending passage roof — proving a Contracted Construct

Sixth result Course19thHeight hPetrie EXACT 19th Course HEIGHT

dSTEP

SIOillustrated detail to the Pyramid casing Petrie spotting details .. Secure Inspection Offset

TheDpoint xGalleryNORTH-yQueenFLOORin

xyD

EGSf — Explaining Golden Section fits

M74GS Golden Section Matrix System example

-------------------------------------------

PCS PYRAMID COORDINATE SYSTEM — The Petrie x-coordinate preferred preference: from North Pyramid base tip, to South

Application

PetriePlate9Issues Corrupted vertical scale, illustrated and exemplified

-------------------------------------------

GoldenSectionMatrixSYSTEM

Geometry ¦ Algebra ¦ Circle-square matrix algebra ¦ b¦Pn Chart matrix algebra ¦ b¦Pn matrix algebra ¦ Geometric matrix series ¦ Pyramid matrix

-------------------------------------------

VOOD VERIFICATION METHOD — Petrie-rJCIRCLE-CheopsRectangle-CheopsPyramid verifications

MethodSTRUCTURE — The Pyramid Agents

METHOD — how it is done

NotesOriginal2017 Some 2017 redundant details for clarification in this presentation Jan2024

CalCards — the free [Swedish edition] OpenOffice spread sheet collected calculated accounted results

-------------------------------------------

CONTENT in detail

referenser

[HOP]. HANDBOOK OF PHYSICS, E. U. Condon, McGraw-Hill 1967

Atomviktstabellen i HOP allmän referens i denna presentation, Table 2.1 s9–65—9–86.

m_n = 1,0086652u ...................... neutronmassan i atomära massenheter (u) [HOP Table 2.1 s9–65]

m_e = 0,000548598u .................. elektronmassan i atomära massenheter (u) [HOP Table 10.3 s7–155 för m_e , Table 1.4 s7–27 för u]

u = 1,66043 t27 KG .............. atomära massenheten [HOP Table 1.4 s7–27, 1967]

u = 1,66033 t27 KG .............. atomära massenheten [ENCARTA 99 Molecular Weight]

u = 1,66041 t27 KG ............... atomära massenheten [FOCUS MATERIEN 1975 s124sp1mn]

u = 1,66053886 t27 KG ........ atomära massenheten [teknisk kalkylator, lista med konstanter SHARP EL-506W (2005)]

u = 1,6605402 t27 KG .......... atomära massenheten [@INTERNET (2007) sv. Wikipedia]

u = 1,660538782 t27 KG ...... atomära massenheten [från www.sizes.com],

CODATA rekommendation från 2006 med toleransen ±0,000 000 083 t27 KG (Committe on Data for Science and Technology)]

c₀ = 2,99792458 T8 M/S ........ ljushastigheten i vakuum [ENCARTA 99 Light, Velocity, (uppmättes i början på 1970-talet)]

h = 6,62559 t34 JS ................. Plancks konstant [HOP s7–155]

[BA]. BONNIERS ASTRONOMI 1978

— Det internationella standardverket om universum sammanställt vid universitetet i Cambridge, The Cambridge Encyclopaedia of Astronomy, London 1977.

[FM]. FOCUS MATERIEN 1975

[BKL]. BONNIERS KONVERSATIONS LEXIKON, 12 band A(1922)-Ö(1928) med SUPPLEMENT A-Ö(1929)

t för 10^–, T för 10⁺, förenklade exponentbeteckningar — simplified notations: t for TEN RAISED TO minus and T for TEN RAISED TO plus.

MAC, här ofta använd förkortning för Modern ACademy — etablerad vetenskap sedan början av 1800-talet

TNED — Related PHYSICS And MATHEMATICS — Se särskild djupbeskrivning av innebörden i begreppet relaterad framställning.

(Toroid Nuclear Electromechanical Dynamics), eller Toroidnukleära Elektromekaniska Dynamiken är den dynamiskt ekvivalenta resultatbeskrivning som följer av härledningarna i Planckringen h=m_nc₀r_n, analogt Atomkärnans Härledning. Beskrivningen enligt TNED är relaterad, vilket innebär: alla, samtliga, detaljer gör anspråk på att vara fullständigt logiskt förklarbara och begripliga, eller så inte alls. Med TNED förstås (således) också

RELATERAD FYSIK OCH MATEMATIK. Se även uppkomsten av termen TNED i Atomkärnans Härledning.

See also TNED FROM THE BEGINNING (Swedish edition only Aug2019).

SHORT ENGLISH — TNED in general is not found @INTERNET except under this domain

(Universe[s]History, introduced @INTERNET 2008VII3).

TNED or Toroid Nuclear Electromechanical Dynamics is the dynamically equivalent resulting description following the deductions in THE PLANCK RING, analogous AtomNucleus’ Deduction. The description according to TNED is related, meaning: all, each, details claim to be fully logically explainable and understandable, or not at all. With TNED is (hence) also understood RELATED PHYSICS AND MATHEMATICS. See also the emergence of the term TNED in AtomNucleus’ Deduction.

Senast uppdaterade version: 2024-03-25

*END.

Stavningskontrollerat 2020-03-26¦26Mar2020—23¦25Jan2024.

rester

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≈ Δ Ĵ ∫ α √ π → ∞ τ π ħ ε UNICODE — often used charcters in mathematical-technical-scientifical descriptions

σ ρ ν ν π τ γ λ η ≠ √ ħ ω → ∞ ≡ ↔↕ ħ ℓ

Ω Φ ϕ ϕ Ψ Σ Π Ξ Λ Θ Δ ~

α β γ δ ε λ θ κ π ρ τ φ σ ω ∏ √ ∑ ∂ ∆ ∫ ≤ ≈ ≥ ← ↑ → ∞ ↓

ζ ξ

Arrow symbols, direct via Alt+NumPadKeyboard: Alt+24 ↑; 25 ↓; 26 →; 27 ←; 22 ▬

23 ↨ — also 18 ↕; 29 ↔

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PetrieCR¦b58: tolerated PetrieCR version	°	=	51.827292373			aTan(1/√R)
	° ’ ’’	=	51.49382525	2’		GoldenSection
			INCH2dec	±tol’’	METER	geometric
	b	=	4534.20	0.25	115.168593030	¦ r(3–√5) ¦ h√ (–1+√5)/2 = h√R
	2b	=	9068.39	0.50*	230.337186059
	h	=	5767.59	0.32*	146.496713341	√ bd
	d	=	7336.48	0.40*	186.346697958	√ b² + h² ¦ r(–1+√5) ¦ b/R
	x	=	1401.14	0.08*	35.589052464	r – b
	r	=	5935.34	0.33*	150.757645494	(d+b)/2 ¦ r=1 ¦ (b/R + b)/2 = b(1/R + 1)/2
	P	=	2027.75	0.11*	51.504960577	b/(R+1/R) = b/√5
	P/2	=	1013.88	0.06*	25.752480289
	P/r	=	0.341640786	—		2/(R+1/R)(1/R + 1)
	k	=	7780.38	0.43*	197.621627281	b·k0 = √ b² + (d–P/2)²
	R	=	0.618033989	—		b/d = [–1+√5]/2
	k0	=	1.715933329	—		√ 1 + (½ +2/√5)²