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DIMENSIONS of Second Pyramid |
by David Bowman
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Even though the Second and the Third Pyramid of Giza have always been considered as a degradation of perfection of the Great prototype, the dimensions of the Second Pyramid also reveal some interesting geometrical relations like in case of the Great Pyramid. If we follow the rule of round numbers, measurements of Petrie give a close value to 410 royal cubits for the length of the base. According to the measures of the angle of the pyramid, a height of 5664±13 is calculated, which is within 275 royal cubits. From these two main dimensions, a slope of 343 royal cubits ( = 7x7x7) is calculated, and the edge of exactly 400 royal cubits. Sir Petrie has noticed that the relation between the height and the base conceal the Pythagorean Triangle.
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Dimensions of Second Pyramid are ruled by Pythagorean Triangle |
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| dimension |
b. inch |
m |
royal cub. |
palm |
digit |
| base |
8474.9 |
215.26 |
410 |
2,870 |
11,480 |
| height |
5664 |
143.87 |
275 |
1,925 |
7,700 |
| sum |
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685 |
4,795 |
19,180 |
| slope |
7073.7 |
179.67 |
343 |
2,401 |
9,604 |
| edge |
8245.8 |
209.44 |
400 |
2,800 |
11,200 |
| diagonal |
11985.3 |
304.43 |
580 |
4,060 |
16,240 |
A circle inscribed in the triangle of the pyramid is 205 royal cubits, or exactly half of the base. This composition is supported by the second of Pell's series, that rationalize the geometry of an octagram:
1 3 7 17 41 99 239 ...
A combination between the factors of this progression give the main dimensions of composition. The base length 410 royal cubits is 41 of the progression, a diagonal is obtained by adding 41+17 = 58 or 580 royal cubits. The edge of the pyramid, 400 royal cubits comes from 2 x (3+17) = 40, and the height is obtained by splitting 41 in half and adding 7, 41/2 + 7 = 27.5 or 275 royal cubits. The sum of the base and the height, 685 royal cubits, is concealed in the first three factors of progression: 137 = 2x68,5. Another peculiarity of this composition is that the volume of the pyramid, 1,540,917 cubical royal cubits, equals a volume of a sphere with radius 170 royal cubits represented by factor 17 of Pell's progression.
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