The Ten Books on Architecture, 9.0.8

Vitruvius  translated by Joseph Gwilt

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8For if the height from the pavement to the floor above be divided into three parts, five of those parts will be the exact length of the inclined line which regulates the blocks of which the steps are formed. Four parts, each equal to one of the three into which the height from the pavement to the floor was divided, are set off from the perpendicular, for the position of the first or lower step. Thus the arrangement and ease of the flight of stairs will be obtained, as the figure will shew.

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