JB/018/102/001

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12 May 1815
Chrest. Tab. II Conclusion

Proposing the circumstance or evidence of
the problem for the resolve of it formulas

As the preparatory operations additions are to the demonstration in Geometry
So are the preparatory contrivances to the application of the forms in Algebra.
The Key is the export of both.

Of the descriptions given of those different contrivances
and sets of contrivances – of those materials of this sort of
materials it is that the in so far as they apply to the algebraic
not to speak here of the geometric method, all those keys
and sets of keys, as employed by the hand of the mathematician
will have to be composed. But those contrivances being in themselves being thus distinct from
the for general formulæ, the it follows that for the explanation of them
language other than that of in which those formulæ are delivered composed
may consequently be employed: other language; viz.
for there is no other that language of which ordinary discourse
is composed that sort of language which is in common
use. And thus it is that not only to Geometry, but to
Algebra may the purely verbal mode of designation be
applied.

To give to the several quantities which have place
in the problem, such a mode of expression, as shall by
indicating the several relations they bear to each other
shall prepare them from for being taken for the subjects
of that sort of operation, which consists in the putting placing them
in that point of view in which, by means of those
relations, those quantities which at first were not known, but
which it is desired there is a wish to know, become known accordingly. This
when conceived expressed in the most general terms of which it
is susceptible will, it is believed, be found to be, a tolerably
correct account of the sort of operation which in on each
instance particular occasion must be priced, the direct and as it were mechanical application of
the set of general rules. Of what then is it that a sort of algebraic key
or sort of keys of the kind in question must be will be to be composed?
Of no system of observation or directions for the performance by which it shall be shown
of this distinction have in what manner in the several cases to which it is applicable
this sort of preliminary technical operation may be performed,
and to the best
advantage.

Identifier: | JB/018/102/001 "JB/" can not be assigned to a declared number type with value 18.
Date_1	1815-04-12	Marginal Summary Numbering	4-5
Box	018	Main Headings	chrestomathia
Folio number	102	Info in main headings field	chrest. tab. ii conclusion
Image	001	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	c4 / d31 / e4
Penner	jeremy bentham	Watermarks
Marginals	jeremy bentham	Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	6511
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