Alberti, Leone Battista, Architecture, 1755

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CHAP. XV.
Columns that are to have Arches over
them
, ought by rights to be ſquare; for
if
they were round, the Work would not be
true
, becauſe the Heads of the Arches would
not
lie plum upon the Solid of the Column
underneath
; but as much as their Squares ex­
ceeded
a Circle, ſo much of them would hang
over
the Void.
To remedy this Defect, the
beſt
ancient Maſters placed over the Capitals
of
their Columns another Abacus or Plinth, in
Thickneſs
ſometimes one fourth and ſometimes
one
fiſth Part of the Diameter of the Column;
the
upper Part of this Plinth, which went off
with
a Cima-recta, was equal to the greateſt
Breadth
of the Top of the Capital, and its Pro­
jecture
was equal to its Height, ſo that by this
means
the Heads and Angles of the Arches had
a
ſuller and firmer Seat.
Colonades with
Arches
, as well as thoſe with Architraves, are
various
, ſome being thinner ſet, others cloſer,
and
ſo on.
In the cloſer Sort the Height of
the
Void muſt be three Times and an half the
Breadth
of the Aperture; in the thin Set, the
Height
muſt be once the Breadth and two
thirds
; in the leſs thin, the Height muſt be
twice
the Breadth; in the cloſeſt of all, the
Breadth
muſt be one third of the Height.
We
have
formerly obſerved, that an Arch is no­
thing
elſe but a Beam bent.
We may there­
fore
give the ſame Ornaments to Arches as to
Architraves
, according to the different Sorts of
Columns
over which they are turned; beſides
which
, if we would have our Structure very
rich
, over the Heads of our Arches we may
run
an Architrave, Freze, and Cornice in a
ſtraight
Line, with the ſame Proportions as we
ſhould
make them over Columns that ſhould
reach
to that Height.
But as the Baſilique is
ſometimes
encompaſſed only with one ſingle
Iſle
, and at other Times with two, the Place of
the
Cornice over the Columns and Arches muſt
vary
accordingly.
In thoſe which are encom­
paſſed
only with one ſingle Portico, having di­
vided
the Height of your Wall into nine Parts,
the
Cornice muſt go only to five; or if you
divide
it into ſeven, to four.
But in thoſe
which
are to have double Iſles, the Cornice
muſt
be placed at one third of the Height of
the
Wall at leaſt, and at never more than three
eighths
.
We may alſo over the firſt Cornice,
as
well for the greater Ornament as for real
Uſe
, place other Columns, and eſpecially Pi­
laſters
, directly plum over the Centers of the
Columns
which are below them.
And this
indeed
is of great Service, as it maintains the
Strength
and Firmneſs of the Ribs of the Work,
and
adds Majeſty to it, and at the ſame Time
takes
off much from the Weight and Expence
of
the Wall; and over this upper Colonade
too
we make a regular Entablature, according
to
the Order of the Columns.
In Baſiliques
with
double Side Iſles, we may raiſe three Rows
of
Columns in this Manner one above another;
but
in others we ſhould make but two.
Where

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