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1831 May 9
Posology.
Morphoscopic
Ch or § Genesis analytic
and synthetic
2
15.
Exception as above
is constituted by
the recurrent curve
as above.
16.
Lines are 1. right
or say straight —
2. curve.
17 Of right lines sub-
species none.
18.
Of curve lines immediate
sub-species are
1. recurrent — 2 non-
recurrent.
19
In a recurrent curve
every line or say
which passing through
it cuts it into two
equal parts is called
its diameter.
20.
A circle has but
one such diameter.
21.
Of recurrent curves
species two — 1. most
simple in its unfigurative
circle: least,
say so, the ellipsis, which
might be termed the
cycloid: it being to
a circle in Greek a
cycle what a speroid
is to a sphere.
22.
A cycloid called also
an ellipsis has two
one longer the other
shorter — each however
cutting the circle into
two equal halves called
semicircles.
23.
Naturally existent may
being prior to artificially-
produced solids
are accordingly prior is
in the analytic to the
synthetic mode of
formation or say genesis
of posological figures.
24
Prior in existence
are the naturally-
existent to the artificially-
produced solids
— 24, number of the
exemplifications of
naturally-existing
regular solids is
extremely small:
witness among crystallized
salts, the
cube and the parallelopipedon
— of
artificially-produced
infinite.
25.
So much for analytic
formation — now for
synthetic.
26. Synthetic
Of the synthetic
mode of formation,
track the same as
of the analytic — direction
the reverse.
Synthetic
27.
From the most simple
impressions and ideas
it proceeds through the
more and more complex
till it reaches
the solid body.
28.
Produced is the idea of a
point by the impression
of a small
and made
by
of what you take into
consideration no ulterior
dimension — length none —
consequently length &
breadth none: breadth
or say thickness or
depth.
29.
So in regard to a line:
by moving it in any
direction other than
that in which it
was drawn, you
obtain your form
or surface.
30
So, by means of a plate
so thin as to present
the impression of no
more than a surface,
by astracting all the
other dimensions you
obtain the idea of
a pure surface.
31.
in which light you
m consider a
sheet of paper, from
the idea of the
of which you may form
the idea of a mathematical
solid.
Identifier: | JB/135/128/001 "JB/" can not be assigned to a declared number type with value 135.
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posology |
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j whatman turkey mill 1829 |
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admiral pavel chichagov |
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