In restoring the basement, after making its entablature of such
proportions as seemed to me most appropriate, I was surprised to find,
on applying a scale, that I had obtained exactly 37 ft. 6 in. for the
height from the ground line to the soffit over the piers. Though I
have tried several other dimensions since, this seems so appropriate
that, as very little depends on it, we may allow it to stand.
Assuming this, therefore, we find the height dividing itself into
three portions, each of which was 37 ft. 6 in., and two which seem to
be 13 ft. 9 in. each. But if this were so, we come to the difficulty
that there is no very obvious rule of proportion between these parts,
which there certainly ought to be. Even if we add the two smaller ones
together we obtain 27 ft. 6 in., which, though nearly, is not quite in
the ratio of 3 to 4 to the larger dimension of 37 ft. 6 in. If we add
to the first 9 inches we get the exact ratio we require; but by this
process increase the height of the building by that dimension, which is
impossible.
The explanation of the difficulty may perhaps be found in the fact
that the order overlaps the pyramid nearly to that extent, as is seen
in the diagram (Woodcut No. 5.) It is by no means improbable that the
architects made the pyramid 37 ft. 6 in. from the bottom of the bottom
step,—as they naturally would,—and measured the order to the top of the
cymatium; and consequently these two dimensions added together did not
make 75 feet, but 74 ft. 3 in., or something very near to it.
There is a curious confirmation of this in another dimension which
must not be overlooked. At page 24 we found the extreme length of the
building to be 126 feet, or 72 Babylonian cubits. This ought to be the
height; and so it is, to an inch, if we allow the quadriga to have
measured 14 Greek feet. Mr. Newton, it is true, makes it only 13 ft. 3
in. English, but it was necessary for his theory of restoration to keep
it as low as possible; and, though it may have been only that height,
there are no data to prevent its being higher, nor indeed to fix its
dimensions within the margin of a foot. Considering the height at which
it was seen, there is everything to confirm the latter dimension, which
has besides the merit of being exactly one-tenth of the total height of
the building.
From these data we obtain for the probable height of the different
parts of the building the following:—
Ft. In.
Height of basement to soffit 37 6
Entablature of ditto 14 0
Pteron, to top of cymatium 37 6
Pyramid 37 6
Quadriga 14 0
———
140 6
Deduct for overlap 6[17] (9?)
———
140 0
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