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Prefat: (17
Examination of Euclid's V Definition.
Objection of
Inaccuracy only
evaded by
Obscurity
Examine the 5th Definition of Euclid, and shew
how after having only put off the operation to a
greater distance you are at last obliged to
have recourse to the finding a common measure
for the pairs to be compared. if so why
not confess the necessity of this operation at
first, and take that test which any one
who compares Quantities in practice makes
use of to discover the proportion between
them, instead of one which however true
it may be requires demonstration [the
truth of which is by no means apparent
at first right] [and which even is not
demonstrated in that Book] and which
causes the demonstrations to be much
more obscure [complex].
Advantages
of the New one
that can be so proper a test for the to
judge of the similarity of Proportion by,
as that by which you require the
Idea of itself. These are some at least
of the disadvantages of this making of definition
and advantages I can see none.
Sufficiency of it.
by the latter way you can always excede
Practice in Accuracy and if that be the case
Identifier: | JB/135/041/001 "JB/" can not be assigned to a declared number type with value 135.
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sir samuel bentham |
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