The Ten Books on Architecture, 4.4.2

Vitruvius  translated by Joseph Gwilt

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2If the width be greater than forty feet, columns opposite to those which are between the antæ, are placed towards the inner part, of the same height as those in front, but their thickness is to be diminished as follows. If those in front are an eighth part of their height in thickness, these are to be one ninth; and if the former are a ninth, or a tenth, the latter are to be proportionally diminished. For where the air does not play round them, the diminution thus made will not be perceived; lest, however, they should appear slenderer, when the flutes of the external columns be twenty-four in number, these may have twenty-eight, or even thirty-two. Thus, what is taken from the absolute mass of the shaft, will be imperceptibly aided by the number of the flutes, and though of different thicknesses, they will have the appearance of being equal.

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