The Ten Books on Architecture, 5.3.4

Vitruvius  translated by Joseph Gwilt

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4The number of passages (præcinctiones) must be regulated by the height of the theatre, and are not to be higher than their width, because if made higher, they will reflect and obstruct the voice in its passage upwards, so that it will not reach the upper seats above the passages (præcinctiones), and the last syllables of words will escape. In short, the building should be so contrived, that a line drawn from the first to the last step should touch the front angle of the tops of all the seats; in which case the voice meets with no impediment.

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