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22 April 1815
Chrest. Table II Inserenda Particular Branches
1. Geometric
1. Purely verbal
22
Reference to
the exemplifications
in the Appendix:
viz. Euclids Elements
Book 2. Prop. 1
The papers in question, in and by which the
purely verbal aplication was, so long ago, made,
of the purely verbal expression maximizing
principle,
to the greater partto a large portion of Euclids Elements not being
immediately accessible, till after an interest, the length of which
would have been made to the object
of these pages. an exemplification of it, applied
to the first proposition of these Elements has, by the writer of these pages, has been
hastily framed for the purpose, and will be foundby the writer of these pages,
—
in the Appendix. [ In the perplexity, and produced
—
and labour, necessitated by the operation of
of following the indicative form of the several parts of
the diagramindividual figure before him by the letters employed
for that purpose, he found a at the same time revived and
a further proof of the difficulties attendant in the
customary and if instructive and thereby an additional
presumption in favour of that which is here
ventured to be recommended. In keeping steadily in
mind without the aid of apposite general expressions
the distinction between the several parts of the figure, and
the relation between part and part as thus designated,
he experienced a perplexity analogous to that which
he remembers to have experienced and which he imagines
to be commonly experienced by uninstructed minds
in the inspection of a system of mechanism, such as moving parts from
the first to the la that
last mover by which
the immediate
contact and
operation of which the
work is executed.
a watermill a windmill or a system of any kind kept in motion
by a steam engine, by in respect of the difficulty
of following distinguishing fromeach other the series of moving
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chrest. tab. ii inserenda |
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