The Ten Books on Architecture, 3.5.14

Vitruvius  translated by Joseph Gwilt

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14The number of flutes in a column is twenty-four. They are to be hollowed, so that a square kept passing round their surface, and at the same time kept close against the arrises of the fillets, will touch some point in their circumference and the arrises themselves throughout its motion. The additional thickness of the flutes and fillets in the middle of the column, arising from the entasis or swelling, will be proportional to the swelling.

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