Aldrich, Henry; Smyth, Philip [Übers.]
The Elements Of Civil Architecture: According To Vitruvius And Other Ancients, And The Most Approved Practice Of Modern Authors, Especially Palladio — London, 1789 [Cicognara, 395]

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and if the ceiling be ssat it will be a—L in the first story, but
«=| L in the second. But in the first story especially, a
coved ceiling will be handsomer and more secure, and a
greater height must be given to it. Wherefore if the room
be square, let a be sesquitertian of L; if oblong, instead of
a let a mean be taken between L and 1, either arithmetical
= 2) L-j-1, or geometrical — V 1 L, or harmonical = 2)
L-j-1) 1 L. There are other proportions of height, accord-
ing to Palladio, which are not reducible to rule. These may
be used occasionally, and with due discretion.
§. 3. M. Muet has laid down these proportions. The
least length of a saloon should be 2 L, the greatest in a pa-
lace 3 L. Those of a mean size 2 ^ L and 2 — L. Let the
length of the antichamber be either a diagonal of its breadth
or sesquialteral. Let the chamber or bed room be either square,
or longer than it is broad by an eighth, seventh, sixth or fifth
part. To constitute the height of these three rooms take or
sor § of their breadth in the sirst story; and in the second
let it be a twelfth part less than the former. If the ceiling be
arched, to form the height take the breadth lessened by a
sixth, eighth or tv/elfth part of itself, in the first story, in
the second diminished by a sixth part of the former; if there
be a third story the height of it will be of the second.
The pergulae, or galleries, should have their breadth 16, 18,
or 20 seet; in a palace 24 feet. The length must be a mul-
tiple of the breadth ; not less than five times, nor greater than
eight times. The height in the first story the same as that
of the saloon, antichamber, and bedchamber in the same story ;
but in the second equal to the breadth ; or if the deling is
coved, the breadth should be encreased by a fisth, a fourth, or
a third part of itself.
§. 4. Floorings are made in various fashions. 1. The bar-
baric, which Pliny reckons the most antient, were probably
* E of
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