JB/018/033/001

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25 April 1815 R.3 + B C3 Referebindt? *14 1o or 2o 3, Practical Use indication
1. Geometry
23 Use indicating
16 or 1
Mathematical
proposition immediately
useful are
exemplified either
in some branch of
Natural Philisophy
as per Table, or
in the doctrine of
probabilities

continued from 5 annexed pages in defence
of Beddinson. viz. All Mathematic Physic

of

A proposition which has in any shape both as abovehas a physical
use, the use will be found exemplified either in some branch or branchesof
physics, physical art and science i.e. of Natural Philosophy as it is so commonly
though unaptly called. or in the doctrine of probabilities. Of these branches see a last though not
exactly a compleat one see the list in Tab. 1. III
and

A propositi Will Williams having any immediate
application to any branch of physics as above and therefore
without having any immediate use, a proposition may
still have a practical use. If it has, the use may
in this latter case be termed a preparatory use.

A proposition belonging to Geometry suppose it 17 or 12
A mathematical
proposition not
immediately useful
may still be useful
viz. by having a
preparatory use
1.1. by being subservient
to the demonstration
of one that
or immediately useful
not to be itself not susceptible of appllcation to any branch
of physics: but suppose it at the same time necessary
to the demonstration of another which is susceptible of
such application. Immediate use it has none: but
it has a preparatory use.

Such preparatory use may by any number
of degrees or stages be removed from the immediate
use. SoThe preparation is in question of no use but in respect of
its being necessary to the demonstration of another, that other
is of no use but in respect of its being necessary to
the demonstration of a third: let a series of this sort be 18 or 3
Preparatorily useful
it may be
has remotely so
ever if ultimately
Remoteness is
measurable by the
number of propositions
intervening
of any length, if at the end of it we come to a proposition
which has an immediate use, every proposition
in the series has its use, for every one of them has a
preparatory use

Identifier: | JB/018/033/001 "JB/" can not be assigned to a declared number type with value 18.
Date_1	1815-04-25	Marginal Summary Numbering	1-2, 18 or 3
Box	018	Main Headings	chrestomathia
Folio number	033	Info in main headings field	chrest. tab. ii inserenda
Image	001	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	c6 / d14* / e1
Penner	jeremy bentham	Watermarks
Marginals	jeremy bentham	Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	6442
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