JB/135/363/002

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9.

Methods or Orders mathematical
proportions may
be delivered.

1. Logical Tactical viz. in
classes, Instance Euclids
data is something in this way

2. Probative or demonstrative.

3. Historical — that in
which they were brought
to light. The history will
of course be principally conjectural.

Concomitant or d separate
with relation to the
historical order will
be the hermeneutics:
in the part thus designated
will be given indications of the several
contrivances employed
by inquirers for the accomplishment
of the
object: viz. the shape
of the problem, or the
demonstration of the
theorem, even the putting
the truth of the proposition
out of doubt.

Euclids data or something
in this way.

For an exemplification
of the Tactical method
see in Montesclu's history
of the Mathematics
the comparative view
of the properties of the
several Conic Sections

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Quantity is
1. that which has relation
to figure

2. that which has no
relation to figure.

To this sort of quantity
belong events.

Events are
of posology here not properly
expressible by
any thing but numbers

Figures are expressible

numbers, viz. by
graphical or substantial
tations.

They are not so by
numbers except in
so far as their boundaries
are considered as
divisible into
parts, and numbers
are employed in
giving expression to the
ratio as between part
and part.

Modes of giving existence
to a figure
viz. a plain figure
any one of the forms
of a solid
to be taken in
any of its parts for the
subject of mathematical
demonstration. .

1. Analytical working
by the imaginary decomposition
of a solid
into its component surfaces.
Instance Conic
Sections

2 Synthetical: working
by the delineation exhibition of
lines and surfaces.
stusion, Euclids Elements
the first and 11th or 12th books

Identifier: | JB/135/363/002"JB/" can not be assigned to a declared number type with value 135.
Date_1	1831-03-09	Marginal Summary Numbering	7-11
Box	135	Main Headings	posology
Folio number	363	Info in main headings field	posology
Image	002	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	e2
Penner	jeremy bentham	Watermarks	street & co 1830
Marginals	jeremy bentham	Paper Producer	antonio alcala galiano
Corrections		Paper Produced in Year	1830
Notes public		ID Number	46481
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