JB/018/030/001

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21 1815
Chrest. Tab II Particular Branches
I Geometry
II Algebra
1
Useful parts of
the mathematics
ought to be distinguished
from the non useful

Curves of different orders mixing one above another in
hierarchy the more formidable the greater the number of its stages
In what instances were they respectively exemplified?

Chrestomathic study must finish long before the field of practical use has
been travelled over.

Signal would be the service rendered to mankind, if
by some competent hand a time couldcan be and were to
be drawn between that part ofdivision<add>thoug</add> those parts in the field
of mathematics in which the contents of which are
and then the contents of which are not susceptible of
practically useful application

1 In some instances the whole contents of the field are or 2
Examples of the
useful
I. Doctrine of probabilities
viz
1. So far as exemplified
are because
events
2. So far as the
events are of an entirely
paid
II Interest and discount
Here
where as conceived
of the useful kind. <add>of the useful kind, and in respect of right practice absolutely necessary of this useful kind. Such is the case for example
withis the doctrine of porp probabilities, so far at least
as the application of it is confined to such event
as besides being actually exemplified or liable to be
exemplified are of a nature interesting to let probable
to be productive of pain or pleasure to mankind.
In these instances figure has no place.
To the field of arithmetics - delopoise or adelopoise
simple or algebraical - manifestly expressive or non-
manifestly expressive - this class of instances is confused
Such again is the calculation of the quantity increase given added to any mass of
money or moneys worth by allowance money paid made for it whether in the shape of interest or discount.

2. In another class of instances also is or II. Uranological
topography or
Topographical
Uranology
the whole contents of the field are of this useful kind
and at the same time necessary kind.

This field is the field of uranological geography
or topography. the field of astronomy in so far as
the artmass of and science belonging to it is applicable
to the ascertainment of the extent of of the relation the position of places
single spaces or spa on the earth's surface.

For this class of instances not only number but Here papers as
well as ber
or
figure is a necessary object of regard. The field
that belongs to themof which they belong has therefore neither that portion of the field
of mathematics which is common to Geometry and Arithmetic
and Geometry.

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Identifier: | JB/018/030/001 "JB/" can not be assigned to a declared number type with value 18.
Date_1	1815-04-21	Marginal Summary Numbering	or 1 - or 2
Box	018	Main Headings	chrestomathia
Folio number	030	Info in main headings field	chrest. tab. ii
Image	001	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	c1
Penner	jeremy bentham	Watermarks
Marginals	jeremy bentham	Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	6439
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