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The Alchemy Key.pdf - Veritas File System

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Appendix 8 <strong>The</strong> Perfect Pyramid<br />

<strong>The</strong> following calculations show that the Perfect Pyramid is a<br />

function of the Golden Ratio.<br />

Let:<br />

<strong>The</strong> Perfect Pyramid<br />

s = side length<br />

k = side face height measured from the apex to the<br />

ground<br />

h = vertical height of pyramid<br />

A = Area of a side face<br />

Pythagoras’ Rule provides the side face height (k):<br />

(1) k 2 = (s/2) 2 + h 2<br />

(2) k = √(s 2 /4 + h 2 )<br />

Area of a side face (A):<br />

(3) A = ½ .s.k (area is half the base times the<br />

height)<br />

From (2):<br />

(4) A = ½ .s.√(s 2 /4 + h 2 )<br />

<strong>The</strong> Perfect Pyramid built as the Great Pyramid of Giza is special<br />

because of a particular constraint. In history, only Herodotus has alluded<br />

to it. 1458 <strong>The</strong> key is that the area of a side face is equal to the square of the<br />

height of the pyramid. Herodotus’ statement turns on the translation of<br />

the Greek word epipolēs, which means either in elevation, by the lateral<br />

surface or simply in surface. 1459<br />

(5) A = h 2<br />

equating (5) with (4):<br />

416

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