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Note (3) to p.7
(3) Of the propositions, those only which are employ'd
in practice, for example in Mechanicks, land-surveying
and navigation, and without the demonstrations. In the
propositions is contained all that is practic generally useful; in the
demonstrations, all that is difficult. No one but may
be made to comprehend the propositions: few who can be
brought without excessive labour to possess themselves
of the demonstrations: – and while so many assertions
of disputed verity are received upon trust, why not
give the same reception to those, of which the verity
is so universally allowed to be indisputable. By a very
easy process, a child, even a very young one, might be
made to comprehend as a matter of fact, that spheres are
to each other as the cubes of their diameters: a proposition
of no small use in the choice of applies and oranges.
– But the demonstration –! I never yet
met with a motive strong enough to engage me to submitt
to the fatigue of comprehending it. The propositions
may be considered as belonging to mechanicks: exhibiting
properties common to all sorts of bodies and portions
of space considered solely with reference to figure: the
demonstrations may be considered as forming a branch of
logick.
Identifier: | JB/149/074/001 "JB/" can not be assigned to a declared number type with value 149.
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note 3 to p. 7 |
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