The Great Pyramid/ Squaring the Circle
The square represents the physical. The circle represents the spiritual. Squaring the circle is an attempt to unite/bring together the physical with the spiritual. The Great Pyramid is a physical place where one can bring one's physical body and experience the spiritual - this, of course, is the purpose of all sacred spaces. All sacred geometers have attempted the impossible: to square the circle (create a square who's perimeter is equal to the circumference of a circle.) It can not be done exactly (because we are working with irrational numbers), but we can get pretty darn close. Here is the first of two valiant attempts:
This squaring of the circle works with a right triangle (YZE). Let's begin with a line drawn from the centre of the base of one side (Y) to the centre of the base itself (E). Then a line from the centre of the base (E) to the top of the pyramid (Z) creates the right angle (YEZ). The hypotenuse of this right triangle (line ZY) is called the "apothem." {On a pyramid, the apothem is a line that splits vertically one side or face of the pyramid (line ZY) - a line drawn from the base of the centre of one side to the top.}
We will find that is is line (EZ) that will help us to square the circle, but the apothem has an interesting characteristic as well.
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