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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.
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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.
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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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1829 |
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