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Exploring Geographic and Geometric Relationships Along a Line of Ancient Sites Around the World (cont)

By Jim Alison

THE GREAT PYRAMID, PERU & PYTHAGORAS

Figure 17
Image © On Top of the World
Figure 18

The Great Pyramid precisely expresses the 2π relationship between the circumference and the radius of the Earth. The height of the Great Pyramid is 481.4 feet. The perimeter of the Great Pyramid (the length of all four sides at the base of the pyramid) is 3,023 feet. The height of the Great Pyramid times 2π (6.28) is 3,023 feet.

The relationship of the distances between the Great Pyramid, Nazca, and the axis point of the line of ancient sites, precisely expresses this same 2π relationship.

Inspired by Charles Hapgood's Earth crust displacement theory, Jim Bowles, a retired NASA engineer, wrote The Gods, Gemini, and the Great Pyramid. In his book, Bowles provides a scientific explanation for the causes of Earth crust displacements. He also discusses many similarities between the lines and figures at Nazca, the Great Pyramid and ancient Egyptian hieroglyphic texts. Bowles observes that the Great Pyramid and the Nazca lines and figures would have been on the equator if the North Pole had been in southeastern Alaska, and in a lengthy proof using coordinate derivations and spherical trigonometry he demonstrates the 2π relationship between the three sites. Of course, this 2π relationship exists between the Great Pyramid, Nazca and the axis point for the line of ancient sites, regardless of whether or not the axis point was once the North Pole.

This relationship may also be demonstrated by diagramming the great circle distances between the three sites on a flat surface. Along the line of ancient sites, the distance from the Great Pyramid to the Nazca lines is 7,677.6 miles. The distance from the line of ancient sites to the axis point in southeastern Alaska is 6,215 miles. This triangle, with a base of 7,677.6 miles and sides of 6,215 miles, forms an isosceles triangle with base angles of 51° 51' and a height of 4,887.72 miles. The height of the triangle is calculated using Pythagoras' theory (a² + b² = c²). The height of the triangle times 2π equals the base of the triangle times four.

3.1416 x 2 = 6.2832

4,887.72 miles x 6.2832 = 30,710.4 miles

7,677.6 miles x 4 = 30,710.4 miles


Another special triangular relationship, found in the dimensions of the King's Chamber in the Great Pyramid, is the 3-4-5 right triangle that elegantly expresses Pythagoras' theory (3² + 4² = 5²). In the King's Chamber, the diagonal length of the east wall is 309", the length of the chamber is 412", and the long central diagonal is 515". The stone over the entrance to the King's Chamber is the only stone in the walls that is two courses high. This stone also expresses a 3-4-5 right triangle relationship by its measurements of 124"L x 93"H x 155" diagonal.

Figure 19

The distances between the Great Pyramid, Machupicchu, and the axis point of the line of ancient sites, express this same 3-4-5 relationship. The distance from the Great Pyramid to Machupicchu (7,487 miles) is exactly 30.0% of the circumference of the Earth. The distance from the Great Pyramid and from Machupicchu to the axis point for the line of ancient sites is exactly 25% of the circumference of the Earth. Dividing this isosceles triangle by it's height forms two 15%-20%-25% right triangles.

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