mch

54 OUR ANCESTORS CAME FROM OUTER SPACE
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by men and nature. Its height must have measured between 279
and 281 cubits, but it is very difficult to compute because three
different mathematical concepts were used in building the pyramid
and all three of these ways of calculating are slightly at odds
with the methods of modem mathematicians working with decimals.
The first concept calls for exact proportions between the pyramid
and our planet earth. The height of the pyramid should be
proportional to the radius of the earth and the perimeter should
be proportional to the circumference. The second principle
requires that each face of the sides should be equal to the square
of the height. The third demands that the volume of the pyramid
be of exactly 18 millions of cubic cubits.
At first glance these three conditions seem irreconcilable. But
let us try nevertheless to reconcile them. To do this, we will have
to calculate the triangle formed by a half base line, one side of
the pyramid, and the apothem—the shortest line between the
summit of the pyramid and the middle point of one base line.
We will have to make all calculations in cubits, and to make us
understand the feeling the Egyptian architect must have had
5,000 years ago we must remember all the time that the proportion
between the height and half base of the pyramid has to be a
very simple one because hundreds of thousands of stones will
have to be cut to these specifications.
The first condition calls for the proportion between the height
and the half base to be 1.273239, or 4 divided by 3.141592 (tt).
In that case, with a half base of 220, the height is equal to
280.112 cubits and the apothem 356.178, which gives us the volume
of the pyramid as 18,076,605 cubic cubits. Conditions two
and three are not fulfilled but the dimensions are proportional to
those of our earth—the height to the radius and the perimeter to
the circumference.
The second condition exacts a proportion of 1.272019, the
square root of 1.618034 which is the Golden Section or factor .
Then the height is 279.844 cubits, the apothem 355.967 cubits,
and the volume 18,059,288 cubic cubits. Conditions one and
three are not reached but the surface of one face is equal to the
square of the height.
Condition three requires the proportion between the height