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 farther be true than in as far as it is true of every body whatsoever possessed of the figure to which that propositon relates the existence of which is supposed by the proposition.

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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