The Ten Books on Architecture, 6.8.1

Vitruvius  translated by Joseph Gwilt

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Of the Strength of Buildings

8In those buildings which are raised from the level of the ground, if the foundations are laid according to the rules given in the preceding books for the construction of walls and theatres, they will be very durable; but if under-ground apartments (hypogea) and vaults are to be built, their foundations must be thicker than the walls of the upper part of the edifice, which, as well as the pilasters and columns, must stand vertically over the middle of the foundations below, so that they may be on the solid part. For if the weight of the walls or the columns have a false bearing, they cannot last long.

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