JB/135/078/002

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Geometry

1. Geometrical propositions
are all relative
to bodies

2 Are none of these
strictly true

3 Under what tations
they may without
any prejudicial
errorbe considered
as true

4. They ought all
of them to be conected
in general term:
and that throughout.

5 How the terms
employed in geometrical
propositions
may be made
general -

6. Terms general
in themselves - as
triangle, parallelogram

7 - 2. General by
relation in reference:
where the name of
one object is taken
by from the relation it
bears to other objects.

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Mathematical has
science The branch
of science termed Mathematical
has two
main divisions, Geometry
and Arithmetic.

Geometrical propositions
are general
propositions having
for their subject
either body (that is
bodies in general) or
space considered
as unoccupied by
body: both body
and space being
considered with reference
to their form
is configuration
solely without regard reference
to any other
properties they may
respectively possess:
Geometrical for
The proportions
termed geometrical
the proportions delivered
in books
termed books of
geometry are in
the first place all
of them relative to
figure which is
that is all of those
relative either to
body to a property
of body and thus
all of them relative
to body, [+] They are
therefore no farther true

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than in as far as
they are true of body,
that is of bodies
in general.
But of bodies in
general a geometrical
proposition
can no further be
true than in as
far as it is true
of every body whatsoever
possessed of
the figure to which
that proposition relates
the existence
of which is supposed
by the proposition.

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2. As Geometry is the propositions about which Geomtery is conversant are without exception general propositions they ought without exception to be conveyed by expressed in and convey'd by general terms the terms employed for the expression of them ought without any exception to be general terms of a nature equally general. If in any instance the expression made use of in any such occasion fails of being a general one, it is pro tanto inadequate to its object: the idea it excites of itself is not a general one: of itself therefore it fails of exciting the idea it is intended to excite: if that idea chances notwithstanding yo prevent itself to the reader it is owing to it is an idea of his own formation, it is not the idea presented to him by the author
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Identifier: | JB/135/078/002"JB/" can not be assigned to a declared number type with value 135.
Date_1		Marginal Summary Numbering
Box	135	Main Headings
Folio number	078	Info in main headings field	geometry
Image	002	Titles
Category	rudiments sheet (brouillon)	Number of Pages	2
Recto/Verso	recto	Page Numbering
Penner	jeremy bentham	Watermarks
Marginals		Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	46196
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