JB/018/097/001

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11 April 1815
Chrestom. Tab. II Inserenda

Without fiction Geometrical expression can not have been employed on an occasion
in which figure is not considered. Of this fiction the use ought to be
ascertained and expressed. Geometrical elegance is figment phantasy of the imagination.
The form Q.E.D. more necessary, carrying with it Include authority
Consideranda or Algebra. 1. The abridged expression. 2. The place of 3. The fiction. Under the
of fiction. 1. The explanation. 2. Indication of the use.

[] Algebriacally abridged expression explaining principle.

In the mind of him by whom they are employed, when
the natural and individual ideas in which they have their source, and
the individual or other one particular objects from which those ideas were
from which they were drawn abstracted are once lost sight of, all
extensive general expressions all expressions of a general and extensive
nature of a general extent nature and wide extent
are seen sooner or later to become soon become empty sounds.

In the history use made of algebra, at any rate on the occasion
of is this art to learners the particular application
which are either at the time in question are made
or at some any future determinate or future contingent time are proposed
to be made of it should never be out of sight contemplation
should on every occasion be brought to and kept in view. It is
for want of this test of intellection it is for want of that check
that in algebra books on algebra so many propositions that areself contradictory
and thereby void of all real and intelligible import are to be
found. Quantities that are negative, which being interpreted
mean less than nothing: and by the multiplyers
on one of those quantities by another, that is by adding together
a certain number of those quantities, a number
of quantities equal to the product, and each of them greater
than nothing, generated.

☞ N.B. Addition here employ is improperly employed> Shewn
in the Note (2) to Euler's Algebra.

Identifier: | JB/018/097/001 "JB/" can not be assigned to a declared number type with value 18.
Date_1	1815-04-11	Marginal Summary Numbering	or 1 - or 3
Box	018	Main Headings	chrestomathia
Folio number	097	Info in main headings field	chrest. tab. ii inserenda
Image	001	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	e1
Penner	jeremy bentham	Watermarks
Marginals	jeremy bentham	Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	6506
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