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Vitruvius says that small models are of no avail for ascertaining
the effects of large ones; and I here propose to prove that this
conclusion is a false one. And chiefly by bringing forward the very
same argument which led him to this conclusion; that is, by an
experiment with an auger. For he proves that if a man, by a certain
exertion of strength, makes a hole of a given diameter, and
afterwards another hole of double the diameter, this cannot be made
with only double the exertion of the man's strength, but needs much
more. To this it may very well be answered that an auger
1
503.
of double the diameter cannot be moved by double the exertion, be-
cause the superficies of a body of the same form but twice as large
has four times the extent of the superficies of the smaller, as is
shown in the two figures a and n.
1
504.
OF SQUARING THE CIRCLE, AND WHO IT WAS THAT FIRST DISCOVERED IT
BY
ACCIDENT.
Vitruvius, measuring miles by means of the repeated revolutions of
the wheels which move vehicles, extended over many Stadia the lines
1186
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