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