The Ten Books on Architecture, 1.2.4

Vitruvius  Parallel editions

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Gwilt translation

4Uniformity is the parity of the parts to one another; each corresponding with its opposite, as in the human figure. The arms, feet, hands, fingers, are similar to, and symmetrical with, one another; so should the respective parts of a building correspond. In sacred buildings, for instance, the diameter of the columns and the width of the triglyphs must be similar. In the balista, by the size of the hole which the Greeks call περίτρητον; in ships, by the space between the thowls, which space in Greek is called διπηχαικὴ, we have a measure, by the knowledge of which the whole of the construction of a vessel may be developed.

Morgan translation

4Symmetry is a proper agreement between the members of the work itself, and relation between the different parts and the whole general scheme, in accordance with a certain part selected as standard. Thus in the human body there is a kind of symmetrical harmony between forearm, foot, palm, finger, and other small parts; and so it is with perfect buildings. In the case of temples, symmetry may be calculated from the thickness of a column, from a triglyph, or even from a module; in the ballista, from the hole or from what the Greeks call the περἱτρητος; in a ship, from the space between the tholepins διἁπηγμἁ; and in other things, from various members.