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DIMENSIONS of Great Pyramid |
by David Bowman
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If the calculations concerning the royal cubit are correct the main dimensions of the pyramid should also prove that. The approximate dimensions of the pyramid are calculated by Petrie according to the remains of the sockets in the ground for the casing stones whose remains are still at the top of the pyramid, and the angle 51 degrees 52 minutes of the slopes. The base of 9069 inches is approximately 440 royal cubits (the difference is 9 inches which is not a remarkable difference if we consider the whole dimension and consider that the employed data represent only an estimation of the real values) whereas the calculated height, 5776 inches, is precisely 280 royal cubits. The relation 440:280 can be reduced to 11:7, which i an approximation of the half of the π value.
Squaring the Circle
The circle and the square are united through the circumference:
440x4 = 1760 = 2x22/7x280
area of square: 440x440 = 193600
area of circle: 28x28x22/7=246400
sum: 440000
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The engagement of π value in the main dimensions suggests also a very accurate angle of 51 deg. 52 min. of the slopes which expresses the value of π. Another coincidence is the relation between the height of the pyramid's triangle in relation to a half of the side of the pyramid, since it appears to be the Golden Section, or the specific ratio ruling this set of proportions, φ = (sqr(5)+1)/2 = 1.618 = 356:220. This ratio, 356:220 = 89:55 is also contained in the first of Fibonacci Series:
1 2 3 5 8 13 21 34 55 89 144 ...
A single composition contains two apparently contradicting irrational numbers π and φ, without disrupting each other. This appears to be completely opposed to the classical architectural canon which postulates that in 'good' composition no two different geometrical systems of proportions may be mixed in order to maintain the purity of design. But analysis of other architectural and artistic forms suggested that the greatest masters skillfully juggled the proportional canons without losing the coherent system, for they knew that these systems can be interconnected if the path that links them is found. That is obvious In the case of the Great Pyramid where two different principles are interweaved without interference ruling different angles of the composition, which is most importantly a most simple one, namely 11:7, a most simple ratio obviously signifying such infinite mysteries as the value of π and most 'natural' value of φ. In spite of common miss-understanding of architectural composition, the most mysterious and praised compositions are very simple but not devoid of anthropomorphic appeal, since everything is made out of human proportions, just like Vitruvius describing the rations of the human body, very simple and very clean. The numbers 7 and in 11 are successive factors in the second of Fibonacci progressions that approximate geometry of the pentagram:
1 3 4 7 11 18 29 47 76 123 ...
The summary of the selected main mean dimensions is:
| dimension |
b. inch |
m |
royal cub. |
palm |
digit |
| base |
9068.8 |
230.35 |
440 |
3,080 |
12,320 |
| height |
5776 |
146.71 |
280 |
1,960 |
7,840 |
| sum |
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720 |
5,040 |
20,160 |
| slope |
7343.2 |
186.52 |
356 |
2,492 |
9,968 |
| edge |
8630.4 |
219.21 |
418 |
2,926 |
11,704 |
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Main dimensions of the Great Pyramid in royal cubits |
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The main source of all kinds of delusions and speculations about our mythical past for the western man comes of course from Plato. With the myth of Atlantis he planted the necessary seed of mythical Eden, a culture of high intelligence that lived before the known history. If Plato received any wisdom from the ancient Egypt it could perhaps be traced in the canon of numbers that is so latently present throughout his work, but never on the surface. This canon seems to appear in the descriptions of his fantastic cities where everything is most carefully calculated and proportioned. The topic of Plato's Laws is the description of the ideal state called Magnesia which is entirely composed out of the mysterious number 5,040.
Curiosity
The distance when Earth is closest to Sun (perihelion) is 147x10^6 km, which is translated into royal cubits 280x10^9, hinting at the height of the Great pyramid, 280 royal cubits.
Nasa site with planetary data
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