JB/018/133/001

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13 April 1815
Chrest. Tab. II Conclusion

Interconversion of Geometry and Algebra

Thus far All along it has been In speaking of Geometry
and Algebra – of Geometry in the first place of Algebra in
the next place thus far all along it has been necessary to speak
of these two objects as if they were so many distinct branches of mathematical
art and science: one of them and that alone
applicable to one this and that sort of subject purpose occasion; another
and that alone, to this and or that another. But to his surprise not
improbably and to his no small annoyance certainly
the learner will sooner or later ere long have occasion to observe
that in point of practice no such separation has place,
and that for the obtaining of one and the same result, – for the solution of one and the same problem, for
the finding an answer to one and the same question, for
the demonstrating the truth of one and the same assertion
for instance that in the way in question the problem in
question has been solved, both these branches of mathematical
art and science have been employed at once: and
that, for the arriving of at no more than one conclusion
he will have to feel his way through the two different
sorts of labyrinths, the diagonal and labyrinth constructed
out of the capitals of the letterpress alphabet or the
field of geometry, and the labyrinth constructed out of the
small letters of the same alphabet, in the field of algebra
with dots put over some of them in the upper quarter of it if in
the part occupied by the Newtonians, and d’s put put before
as many of them, if in the part occupied by the Leibnitzian
corps. Accordingly when after parting leaving out a swarm
of other lines he has learned that for the designation the line which in the first
place he is in search of two of these capital letters have been
appointed, a supposition which he will naturally be led to make is
that now he has made himself acquainted with it formed with it that sort of acquaintance which
will be sufficient for the purpose.

Identifier: | JB/018/133/001 "JB/" can not be assigned to a declared number type with value 18.
Date_1	1815-05-12	Marginal Summary Numbering	6 or 1 - 7 or 2, 8 or 2, 9 or 3
Box	018	Main Headings	chrestomathia
Folio number	133	Info in main headings field	chrest. tab. ii conclusion
Image	001	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	c5 or c1 / d32 / e1
Penner	jeremy bentham	Watermarks
Marginals	jeremy bentham	Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	6542
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