Similarly along the east-west axis of the plan,
the west side of the Second Pyramid is placed 2, 1/2 x 250
= 625 cubits west from the west side of the Great Pyramid.
In practice, for reasons given below, one cubit was subtracted
from the dimension 625 and added to the dimension 1100 (fig. 3),
and so the sides of base of the Second Pyramid measure 1101 - 250 - 440 = 411 cubits.
The position of the Third Pyramid defines the overall dimensions of the plan,
which are 1417.5 or about 1000 root 2 cubits from east to west,
and 1732 or exactly 1000 root 3 cubits from north to south.
The theoretical dimensions can be obtained by taking firstly,
a square of side1000 with diagonals of 1000 root 2; and secondly,
a rectangle measuring 1000 by 1000 root 2 with diagonals of 1000 root 3;
but the actual dimensions derive from the placing of a scheme of the
"circle squared" for the Third Pyramid, relative to the Second Pyramid.
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at this point (so, i didn't do this right away)
i'm unclear on where, specifically, to place G3
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This scheme (fig. 4) is based on a square of side 500 cubits,
which is placed diagonally to the axes of the plan and
enclosed within a circle, radius 250 root 2 or 353.5 cubits.
The circumference of the circle, 2220 cubits (for pi = 3.14),
is now made the perimeter of a second square, centered on the first,
with its sides of 555 placed axial to the plan.
Along these sides, the points of intersection with the first square
mark off the side of base of the Third Pyramid, 555 - 353.5 = 201.5 cubits.
As shown in figure 4, the radius of the circle 353.5 is made the axial distance west
from the west side of the Second Pyramid to the west side of the Third Pyramid.
This distance is exactly one-quarter of the nominal overall dimension on the same axis,
1000 root 2 or 1414 cubits, which became, however, 353.5 + 624 + 440 = 1417.5 cubits.
On the north-south axis, the line of the south side of the Second Pyramid
being tangent to the circle, it is 353.5 + 555/2 root 2 =
631 cubits north from the south side of the Third Pyramid,
so that the overall dimension became 631 + 1101 = 1732 or exactly 1000 root 3 cubits.
Thus the adjustment of one cubit between the dimensions 624 and 1101,
made both overall dimensions more accurate.
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