xml:lang="en" lang="en" dir="ltr">
##### Views

Keep up to date with the latest news - subscribe to the Transcribe Bentham newsletter; Find a new page to transcribe in our list of Untranscribed Manuscripts

# JB/135/363/002

Completed

-rch 9.
-diments

Methods or Orders in which 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 distinct 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, i.e. 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

---page break---

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 as a
subject of posology here not properly
expressible by
any thing but numbers

Figures are expressible
to senses without
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 itself
ought 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.

1831-03-09

7-11

135

posology

363

posology

002

text sheet

1

recto

e2

jeremy bentham

street & co 1830

antonio alcala galiano

1830

46481