The Alchemy Key.pdf - Veritas File System

Pyramid, make it into a Cross Patté and inscribe a circle. The area of the
circle is twice that of the square base of the pyramid. Using a square
made from the diagonal of the base of the pyramid rather than the base of
the pyramid itself, the ‘twice’ factor disappears. This is because the
diagonal measures s√2. The area of such a square is 2.s 2 . Thus the
esoteric solution from the Perfect Pyramid is:
Area of Inscribed Patté Circle ≈ Area of a square of the Hypotenuse
of the Base of the Pyramid
This formula is based on an assumed value of
[¼ . π.Φ 2 ] of two, which introduces an error of 2.8%.
An even better approximation derives quite simply
from a Jerusalem or Teutonic Cross. 1462
A Chessboard solves the problem of ‘Squaring
the Circle’: 1463
1. Divide the Square into a Chessboard matrix.
2. With a pair of Compasses centered in the middle
of the Chessboard, draw a Circle so it passes
through points on each side, each two squares in
from each corner. This circle has an area that
equals that of the square with an error of 1.8%,
less than the 2.8% inherent in the Perfect Pyramid
method. Schoolchildren sometimes prove the
areas are equal using paper. They cut away the
corners of the square and rearrange these
trimmings to fill the segments of the circle.
3. Again with the Compasses draw a circle so it
passes through points on each side that are one
square in from each corner. This circle has the
same perimeter as the square. The error is also
about 1.8%.
Ancient architects often wanted to Square the
Circle to create a circular column of known cross
section that could be set onto a square base. Their
portable calculator for ‘Squaring the Circle’ was a simple 2 x 1
rectangular tablet. Draw a circle through one corner while centering on
the corner diagonally opposite. The square has an area equal to 8 tablets.
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