heir breadth and length was taken three Ways. The first was, when
having divided the length into 5, 3 were allowed for the breadth. The
second was, when having divided it into 3, 2 were allowed for the
breadth. The third was, when having made an Equilateral Square, the
Diagonal of this Square was taken for the length, and the Side for the
breadth.

The height was equal to the length, taken from the Pavement below, to
the bottom of the _Plat-Fonds_ or _Flat-Roof_, which was hollowed on
the other side the Beams, the seventh part of the whole height.

The Proportion that the _Alley_ which was in the middle between the
Pillars, had with the Wings, was different according to the Magnitude of
the _Vestibule_ or _Entry_, for the greater they were or the lesser, the
Wings had a proportionable breadth with the _Alley_ in the middle; So
that if the _Vestibule_ or _Entry_ was 100 Foot long, the Wings had only
for their breadth the 50th. part of the length; and when it was but 30
Foot long, they had only the 3d. part.

ART. III.

_Of_ Halls.

The Ancients had three Sorts of _Halls_; _Viz._ The _Corinthian_, the
_AEgyptian_, and the _Cyzican_.

The _Corinthian_ had Pillars round about against the Wall, and these
Pillars supported the Floor made in form of a Vault. _Surbaissee_.

The _AEgyptian Halls_ had their Pillars distant from the Wall in the
manner of the _Peristyle_, and they supported only an _Architrave_
without a _Frise_ and without a _Cornice_; upon this _Architrave_ there
was another row of Pillars, between which were the Windows. The Floor
which reached from the Pillars to the Wall, served for a _Terrasse_
without.

[Sidenote: _Lib. 6. Chap. 6._]

The _Cyzican Halls_ had this in particular, that they were turned to the
North, and had a Prospect of the Gardens; they were principally made use
of by the _Greeks_; the Proportion of these _Halls_ was as follows,
Their length was double their breadth, and as to their height, this Rule
was observed to have the height of all Sorts of Apartments that are not
so broad as long, they added their length to their breadth, and took
half of the sum for their height. The Apartments which were no longer
than broad, had in height their breadth, and half their breadth.

ART. IV.

_Of the Distribution of the Apartments among the Ancients._

[Sidenote: _Lib. 6. Chap. 10._]

[Sidenote: _Lib. 6. Chap. 3, 4._]

The _Romans_ and the _Greeks_ ordered and distributed diffe