Quotation from: The Notebooks of Leonardo Da Vinci

Written by: Leonardo da Vinci


And know that in digging this canal where it is 4 braccia deep, it
will cost 4 dinari the square braccio; for twice the depth 6 dinari,
if you are making 4 braccia [Footnote: This passage is illustrated
by a slightly sketched map, on which these places are indicated from
West to East: Pisa, Luccha, Lago, Seravalle, Pistoja, Prato,
Firenze.] and there are but 2 banks; that is to say one from the
bottom of the trench to the surface of the edges of it, and the
other from these edges to the top of the ridge of earth which will
be raised on the margin of the bank. And if this bank were of double
the depth only the first bank will be increased, that is 4 braccia
increased by half the first cost; that is to say that if at first 4
dinari were paid for 2 banks, for 3 it would come to 6, at 2 dinari
the bank, if the trench measured 16 braccia at the bottom; again, if
the trench were 16 braccia wide and 4 deep, coming to 4 lire for the
work, 4 Milan dinari the square braccio; a trench which was 32
braccia at the bottom would come to 8 dinari the square braccio.

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