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10 Apr 1815
Chrestom Tab II Inserenda Particular branches
13
Concer, he may
have deduced the
general idea without
having actually
found the genral
words: but not
without being able
to find them
True is that without actually having given either vocally by word
of mouth or in writing any such purely verbal description
of it, to have found and entertained a clear correct and
compleat conception of a proposition in question, be it
what it may is altogether possible: if it were not, difficulty scarce
purely would be much many its half a draw as a single person be found
by when no relation to any such proposition may such
conception had even been entertained. But not thescarcely
less time is it by one who, upon being required
were to find himself ultimatelyunable to give in relation to it that
sort of purely verbal description, in such clear correct
and compleat conception of it could really be entertained.
Of the propositions themselves, considered as distinct or 4
Asked why he
forborned generalizing
his demonstration &
preparations as well
as his naked propositions,
Euclid wouldanswer
have been - 'For
dispatch: true
answer, inability
from the demonstrations and the introductory stepsas above, by Euclid
a description of the sort in question a purely verbal
description ishas in every instance been actually been given. But
when he comes to the introductorypreparatory additions steps, then it is, that
as if to save the trouble of finding for his conceptions an
adequate assortment of general expressions having given
his diagram, it is to the part component of that individual diagram, as indicated
by letters of the alphabet that he infers us. Draw
the base AB, or draw B C, says the direction that he gives us
But on what account iswas it that he required us to draw this
line? plainly in this account and no other viz. on account
of a certain relation which the line so drawn would when
drawn, be found to bear to the other parts of the figure:
is only in virtue of some such relation that the lines when
drawn line be applicable to the purpose. But by 4 letters
A B, B C is this relation in any degree expressed? Not it
indeed. That same instruction - that such intellection-proving and
Identifier: | JB/018/020/001 "JB/" can not be assigned to a declared number type with value 18.
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1815-04-10 |
or 3 - or 4 |
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018 |
chrestomathia |
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020 |
chrest. tab. ii inserenda |
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001 |
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text sheet |
1 |
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recto |
c3 / e7 |
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jeremy bentham |
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6429 |
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