Proctor, Richard A.: The Great Pyramid: observatory, tomb, and temple (New York, 1883)

APPENDIX Α. 185

diameter and distance of the sun, would not yield results
agreeing exactly with the pyramid measures, although
they were generally remarkably close approximations, I
was induced to undertake a more extended discussion
and analysis of the measures, with a view to ascertain, if
possible, the exact values which had been employed by
the architect in his reductions, and it thus became
necessary to attempt a solution of the following problem.
Given approximate values of the diameters and distances
of the sun, earth, and moon, to find the values, which in
simple combinations will give, with strict exactness, the
various pyramid measures and numbers, the scale for the
reductions being one pyramid inch for a pyramid mile of
63,360 pyramid inches. For some time I had consider-
able difficulty in forming the requisite number of suitable
equations for the complete solution of this problem,
but ultimately succeeded, and obtained the following
values :—



Pyramid Miles

English Miles

Diameter of the Sun .

855,938

856,793

Equatorial diameter of the Earth

7,9177

7,925-6

Diameter of the Moon

2,157-2

2,159-3

Mean distance of the Sun .

91,758,800

91,850,558

Mean distance of the Moon

238,483

238,721

Let S = distance of the sun ; M= distance of the
moon ; s = diameter of the sun; e = equatorial diameter
of the earth ; m = diameter of the moon. Then the
following equations, in which pyramid miles and inches
are adopted, will show the relations between these num-
bers and the pyramid measures :—
se

1. — = Ι,ΟΟΟ,ΟΟΟΤΓ.

m