Alberti, Leone Battista, Architecture, 1755

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1then, where the Roof is to be flat, the Height
muſt be equal to the Breadth; where the Roof
is to be vaulted, a third Part of that Breadth
more muſt be added.
This may ſerve for mid­
dling Buildings: In very large ones, if they are
to have a vaulted Roof, the whole Height muſt
be one whole Breadth, with the Addition of
one fourth Part; but if the Roof is to be flat
it muſt be one whole Breadth and two fifths.
If the Length of the Platform be three Times its
Breadth, and the Roof is to be flat, let the
Height be one whole Breath and three quarters,
if the Roof is to be vaulted, let the Height be
one whole Breadth and an half.
If the Length
of the Platform be four Times its Breadth, and
the Roof is to be vaulted, let the Height be
half its Length; and if the Roof is to be flat,
divide the Breadth into four Parts, and give
one and three quarters of thoſe Parts to the
Height.
If the Length be five Times the
Breadth, make the Height the ſame as where
it is four Times, only with the Addition of
one ſixth Part of that Height; and if it is ſix
Times the Breadth, make it as before, adding
not a ſixth as in the former, but a fifth.
If
the Platform be an exact Square with equal
Sides, and the Roof is to be vaulted, let the
Height exceed the Breadth as in the Platform
of three Breadths; but if the Roof is to be flat,
it muſt not exceed ſo much, and in the larger
Platforms, it muſt not exceed this Breadth
above one fourth Part.
In thoſe Platforms
where the Length exceeds the Breadth only
one ninth Part, let the Height be exceeded by
the Breadth one ninth Part too; but this muſt
be only in a flat Roof.
When the Length is
to be one whole Breadth and a third, let the
Height be one whole Breadth and a ſixth in flat
Roofs; but in vaulted ones, let the Height be
one whole Breadth and a ſixth of the Length.
When the Length is one Breadth and an Half,
let the Height be one Breadth and a ſeventh of
that Breadth, in a flat Roof; but in a vaulted
one, let the Height be one Breadth, and a
ſeventh of the Length of the Platform.
If the
Platform conſiſt of Lines whereof one is as
ſeven, and the other as five, or the Length be
as five and the Breadth as three, or the like,
according as the Neceſſity of the Place, or Va­
riety of Invention, or the Nature of the Orna­
ments requires; add thoſe two Lines together,
and allow one half of the Amount to the
Height.
I muſt not here omit one Precaution,
namely, that the Veſtibule ought never to be
above twice as long as broad, and the Apart­
ments never leſs broad than two thirds of their
Length.
The Platforms which are in Length
three or four Times their Breadth or more, be­
long only to Porticoes, and even they ought
never to be above ſix Times their Breadth.
In
the Wall Apertures are to be left both for
Windows and Doors.
If the Window is broke
in the Wall of the Breadth-line of the Plat­
form, which in its very Nature is ſhorter than
that of the Length, then there muſt be only a
ſingle one; and this Window itſelf muſt either
be higher than it is broad, or elſe on the con­
trary broader than it is high, which laſt Sort is
called a reclining Window.
If the Breadth is
to be like that of the Door, ſomewhat leſs than
the Length; then let the Breadth of the clear
Opening be not more than a third, nor leſs than
a fourth Part of the Inſide of the Wall in which
it is made; and let the Reſt or Bottom of the
Window be in Height from the Floor not more
than four ninths of the whole Height, nor leſs
than two.
The Height of the clear Open of
the Window muſt be one third more than its
Breadth; and this is the Proportion, if the Win­
dow is to be higher than broad; but if the
Window is to be broader then high, than of
the whole inſide Length of the Wall in which
it is made, you muſt not allow the Open of the
Window leſs than one half, nor more than two
thirds.
In the ſame Manner its Height too
muſt be made either half its Breadth, or two
thirds, only it muſt have two little Columns to
ſupport the Tranſom.
If you are to make
Windows in the longer Side, there muſt be
more of them, and they ſhould be in an odd
Number.
I find the Ancients were beſt pleaſed
with three, which were made in the following
Manner: The whole longeſt Side of the Wall
muſt be divided into never more than ſeven, nor
leſs than five Parts, of which taking three, in
each of them make a Window, making the
Height of the Open one whole Breadth and
three quarters, or one Breadth and four fifths.
If you would make your Windows more nu­
merous; as they will then partake of the Na­
ture of a Portico, you may borrow the Dimen­
ſions of your Openings from the Rules of the
Portico itſelf, and eſpecially from that of the
Theatre, as we laid them down in their proper
Place.
The Doors muſt be made after the
Manner of thoſe which we deſcribed for the
Court and Council-chamber.
Let the Dreſs of
the Windows be Corinthian; of the principal
Door, Ionic; of the Doors of the Halls and
Chambers, Doric. And thus much of the Lines,
as far as they relate to this preſent Purpoſe.

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