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1831 May 8 M 5
Posology
Morphoscopics
Ch. or §. Genesis analytic
and synthetic
2 Synthetic
1
25
So much for analytic formation
now for synthetic
26
Of the synthetic mode
of formation, track the
same as of the analytic,
direction the
26 II. The synthetic mode of genesis or say formation of
a posological or say mathematical figure proceeds in the same track
with the analytic mode, but in the opposite reverse, direction. It proceeds
27
From the most simple
impressions and ideas
it proceeds through the
more and more complex,
till it reaches the solid
body
27. It proceeds from the most simple impression and correspondent idea
to the more and more complex impressions and correspondent
ideas: from the most abstract impression and correspondent ideas
to the less and less abstract, till it arrives at the non-abstract
ideas presented by some solid body naturally existing, or artificially
produced, as above.
28
Produced is the idea
of a point, by
the impression of a
make, small
and pl make
by p is
of what you like
into c no
ulterior dimensions,
length none: consequently
length, and
breadth none: breadth
or say
thickness, or
depth.
28. Having by in the analytic method mode obtained
the idea of a point as above, taking the surface of any body
you may make upon it by physical puncture of say by insertion
of an instrument into the surface, is by application of a coloured
body solid or liquid a spot of any as small as your faculties
enable you to make it: in the same from this spot, by means
of the same instrument you moving your hand in any direction
upon that same surface you may form a line on that same
surface to the line which in that character forms the boundary of it
This spot has very little length or breadth: has extremely small dimension in any direction.
Of This spot has very the length is very extremely small: you may consider
it as having none.
29
So, in regard to a
line: by moving it
in any direction other
than that in which it
was drawn, you obtain
— you form — a
surface
29 The line thus made drawn from it has very little length
to any amount: but in respect of the next dimension — which is sometimes
called breadth sometimes depth sometimes thickness it is extremely small:
you may consider it as having none.
30
So, by moving of the
so then as to present
the impression of
than a surface, by
abstracting all the other
dimensions you obtain
the idea of a pure surface surface.
30 Having thus obtained your line, move it in any other
direction than that which was pursued in while forming it, you may by
the same means produce a surface — present to your
self the impression, and thence the idea of a surface
31
in which light you
consider a sheet
of paper by from the idea of the of which you may form the idea of a mathematical solid.
31 Having a solid body which by means of the its thickness, you
employ for giving you the idea of a surface, say for example a
leaf of paper, you may make it cause it to move, or consider it as
moving and of the direction in which you so consider it as moving
to any other than that of its length or that of its breadth it will present
you
you with the idea, though
not with the impression
of a solid.
Identifier: | JB/135/204/001 "JB/" can not be assigned to a declared number type with value 135.
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1831-05-08 |
25-31 |
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135 |
posology |
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204 |
posology |
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001 |
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text sheet |
1 |
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recto |
d5 / e1 |
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jeremy bentham |
street & co 1830 |
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antonio alcala galiano |
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1830 |
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46322 |
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