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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
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.



18310309 
711 

135 
posology 

363 
posology 

002 

text sheet 
1 

recto 
e2 

jeremy bentham 
street & co 1830 

antonio alcala galiano 

1830 

46481 
