The Notebooks of Leonardo Da Vinci

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Page 792 of 1565.
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OF THE SUPPORTS.

A pillar of which the thickness is increased will gain more than its
due strength, in direct proportion to what its loses in relative
height.

EXAMPLE.

If a pillar should be nine times as high as it is broad--that is to
say, if it is one braccio thick, according to rule it should be nine
braccia high--then, if you place 100 such pillars together in a mass
this will be ten braccia broad and 9 high; and if the first pillar
could carry 10000 pounds the second being only about as high as it
is wide, and thus lacking 8 parts of its proper length, it, that is
to say, each pillar thus united, will bear eight times more than
when disconnected; that is to say, that if at first it would carry
ten thousand pounds, it would now carry 90 thousand.

V.

ON THE RESISTANCE OF BEAMS.

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