eve, and let the other extend to the top of the cymatium,
then describing a semicircle, its extreme part will equal the
projection of the band of the pillow. The centres, from
which the volute is described, should not be more distant
from each other than the thickness of the eye, nor the
channels sunk more than a twelfth part of their width.
The foregoing are the proportions for the capitals of co¬
lumns which do not exceed fifteen feet in height: when
they exceed that, they must be otherwise proportioned,
though upon similar principles, always observing that the
square of the abacus is to be a ninth part more than the di¬
ameter of the column, so that, inasmuch as its diminution
is less as its height is greater, the capital which crowns it
may also be augmented in height and projection. The me¬
thod of describing volutes, in order that they may be
properly turned and proportioned, will be given at
the end of the book. The capitals being completed, and
set on the tops of the shafts, not level throughout the
range of columns, but so arranged with a gauge as to fol¬
low the inclination which the small steps on the stylobata
produce, which must be added to them on the cen¬
tral part of the top of the abacus, that the regularity
of the epistylia may be preserved: we may now con¬
sider the proportion of these epistylia, or architraves.
When the columns are at least twelve and not more than
fifteen feet high, the architrave must be half a diameter
in height. When they are from fifteen to twenty feet in
height, the height of the column is to be divided into
thirteen parts, and one of them taken for the height of the
architrave. So from twenty to twenty-five feet, let the
height be divided into twelve parts and a half, and one
part be taken for the height of the architrave. Thus, in