Theorem 5. (Kepler Triangle in the Great Pyramid)
The Great Pyramid of Giza reflects the golden ratio and forms a Kepler Triangle.
Image 38. The Great Pyramid Triangle is a Kepler Triangle
Proof.
Let us have a Great Pyramid Triangle. Let us divide it into two right triangles by dividing its base in half. Next, let us simplify the dimensions so that the base, 220, turns into 1. Also the following changes take place:
280 / 220 = 7 / 5.5 = 1.2727… ≈ √φ,
together with
356 / 220 = 89 / 55 ≈ 1.61803… = φ.
Here, both 55 and 89 are successive Fibonacci numbers, and their commonly known relation is the golden ratio. Thus we now have a Kepler Triangle, with the sides 1 ∶ √φ ∶ φ, or app. 1 ∶ 1,272 ∶ 1,618.
As we can see, the Great Pyramid of Giza is constructed to reflect the golden ratio and it forms a Kepler Triangle. Actually, the natural Great Pyramid forms 8 Kepler Triangles in total, when all four sides is concerned in two parts.
∎
Theorem 6. (Dimensions of Earth and Moon in the Great Pyramid)
The Great Pyramid of Giza reflects the dimensions of the Earth and the Moon.
Image 39. The Great Pyramid Triangle over the Earth and the Moon
Proof.
Let us have an Earth Square, an Earth Circle, a Moon Square and a Moon Circle. Let us put the Moon above the Earth as in Image 36. Then let us have a Great Pyramid Triangle and let us divide its dimensions by the number 40. Thus its height is 7, its sides are 8.9 and its width 11. Let us place this triangle over the Earth and the Moon (Image 36), as in Image 39.
We notice that the triangle fits perfectly into the image, because the base of the tringle is equal to the diameter of the Earth (11 = 11) and the height of the triangle is equal to the Earth-Moon radius (7 = 5,5 + 1,5). Thus the Great Pyramid of Giza reflects the dimensions of the Earth and the Moon.
∎
