The final condition is represented at E, in its relation to that at D.
It will be observed that though each circle projects a little beyond the
side of the square out of which it is formed, the space cut off at the
angles is greater than that added at the sides; for, having our
materials in a more concentrated arrangement, we can afford to part with
some of them in this last transformation, as in all the rest.
§ V. And now, what have the base and the cornice of the wall been doing
while we have been cutting the veil to pieces and gathering it together?
The base is also cut to pieces, gathered together, and becomes the base
of the column.
The cornice is cut to pieces, gathered together, and becomes the capital
of the column. Do not be alarmed at the new word, it does not mean a new
thing; a capital is only the cornice of a column, and you may, if you
like, call a cornice the capital of a wall.
We have now, therefore, to examine these three concentrated forms of the
base, veil, and cornice: first, the concentrated base, still called the
BASE of the column; then the concentrated veil, called the SHAFT of the
column; then the concentrated cornice, called the CAPITAL of the column.
And first the Base:--
[Illustration: Fig. X.]
§ VI. Look back to the main type, Fig. II., page 55, and apply its
profiles in due proportion to the feet of the pillars at E in Fig. IX.
p. 72: If each step in Fig. II. were gathered accurately, the projection
of the entire circular base would be less in proportion to its height
than it is in Fig. II.; but the approximation to the result in Fig. X.
is quite accurate enough for our purposes. (I pray the reader to observe
that I have not made the smallest change, except this necessary
expression of a reduction in diameter, in Fig. II. as it is applied in
Fig. X., only I have not drawn the joints of the stones because these
would confuse the outlines of the bases; and I have not represented the
rounding of the shafts, because it does not bear at present on the
argument.) Now it would hardly be convenient, if we had to pass between
the pillars, to have to squeeze ourselves through one of those angular
gaps or brêches de Roland in Fig. X. Our first impulse would be to cut
them open; but we cannot do this, or our piers are unsafe. We have but
one other resource, to fill them up until we have a floor wide enough to
let us pass easily: this we may perhaps obtain at the first ledge, we
are nearly sure to get it at the second, and we may then obtain access
to the raised interval, either by raising the earth over the lower
courses of foundation, or by steps round the entire building.
Fig. XI. is the arrangement of Fig. X. so treated.
[Illustration: Fig. XI.]
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