The Ten Books on Architecture, 6.3.8

Vitruvius  translated by Joseph Gwilt

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Of Triclinia, Œci, Exedrse, Pinacothecae and Their Dimensions

8The length of a triclinium is to be double its breadth. The height of all oblong rooms is thus regulated: add their length and breadth together, of which take one half, and it will give the dimension of the height. If, however, exedræ or oeci are square, their height is equal to once and a half their width. Pinacothecæ (picture rooms), as well as exedræ, should be of large dimensions. The Corinthian tetrastyle and Egyptian oeci (halls) are to be proportioned similarly to the triclinia, as above described; but inasmuch as columns are used in them, they are built of larger dimensions.

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