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<p>1831 May 3 Seen May 4</p> | |||
<head>Posology — Alegomorphics</head> | |||
<note>9<lb/> | |||
Introduction?</note> | |||
<p>2</p> | |||
<head>167 1. Elucidated by<lb/> | |||
Alegomorphics or<lb/> | |||
Morphoscopics</head> | |||
<p>In Posology numbers the<lb/> | |||
only foundation of clear<lb/> | |||
ideas.</p> | |||
<head>168 2. Elucidated by<lb/> | |||
Alegomorphics<lb/> | |||
or Morphoscopics</head> | |||
<p>In doctrine of probabilities<lb/> | |||
numbers the sole elementary<lb/> | |||
objects.</p> | |||
<head>169. 3. Elucidated by<lb/> | |||
Alegomorphics<lb/> | |||
or Morphoscopics</head> | |||
<p>Bodies are measured by<lb/> | |||
their surfaces — surfaces<lb/> | |||
by lines — lines by points:<lb/> | |||
how to measure the difference<lb/> | |||
between two unequal<lb/> | |||
lines.</p> | |||
<head>170. 4. Elucidated by<lb/> | |||
Alegomorphics<lb/> | |||
or Morphoscopics</head> | |||
<p>Geometricians have<lb/> | |||
thought they had found<lb/> | |||
a proportion not<lb/> | |||
expressible in numbers.</p> | |||
<head>171 5. Elucidated by<lb/> | |||
Alegomorphics<lb/> | |||
or Morphoscopics</head> | |||
<p>Numbers aside, the idea<lb/> | |||
of proportion is that<lb/> | |||
of two lines one is<lb/> | |||
greater than the<lb/> | |||
other — by how much<lb/> | |||
we cannot tell.</p> | |||
<head>172. 6. Morphoscopics<lb/> | |||
<unclear>Mechanics</unclear> of<lb/> | |||
demonstration &<lb/> | |||
effectuation</head> | |||
<p>Equality of lines — the<lb/> | |||
idea founded on that<lb/> | |||
of identity. Euclid<lb/> | |||
aware of this when<lb/> | |||
he proved the equality<lb/> | |||
of two lines by a<lb/> | |||
circle: method of<lb/> | |||
making a circle in<lb/> | |||
sand described.</p><pb/> | |||
<head>173 1. Alegomorphics<lb/> | |||
<foreign>ad quid</foreign> <hi rend="underline">applied</hi></head> | |||
<p>Alegomorphic posology<lb/> | |||
applied and<lb/> | |||
unapplied.</p> | |||
<head>174 2 Alegomorphics<lb/> | |||
<foreign>ad quid</foreign> applied</head> | |||
<p>Subject matter it is<lb/> | |||
applied to.</p> | |||
<p>1. Weights of single<lb/> | |||
bodies.<lb/> | |||
2 Weights of aggregates.</p> | |||
<p>Measure<lb/> | |||
3. of surfaces<lb/> | |||
4. places<lb/> | |||
5. times</p><pb/> | |||
<head>Posology in general<lb/> | |||
Use indication of<lb/> | |||
need for — why</head> | |||
<head>175. 1 Use of Uses</head> | |||
<p>Mathematics particularly<lb/> | |||
requires indication<lb/> | |||
of use — per se, nothing<lb/> | |||
more useless — none requires<lb/> | |||
so much & severe<lb/> | |||
attention — none<lb/> | |||
less pleasing; chemistry,<lb/> | |||
mechanics, even anatomy<lb/> | |||
&c amuse — in<lb/> | |||
short all objects of<lb/> | |||
the senses.</p> | |||
<head>176 2 Use of Uses</head> | |||
<p>Posology has hitherto<lb/> | |||
appeared useless and<lb/> | |||
painful to learn.</p> | |||
<head>177. 3. Use of Uses</head> | |||
<p>Uses of Geometry much<lb/> | |||
more remote from<lb/> | |||
early observation<lb/> | |||
than of arithmetic.</p> | |||
<head>178 4. Use of Uses</head> | |||
<p>Uses of <hi rend="underline">unapplied</hi><lb/> | |||
correspond with those<lb/> | |||
of applied <hi rend="underline">posology</hi>.</p> | |||
<head>179 5. Use of Uses.</head> | |||
<p>So many branches as<lb/> | |||
there are of <sic>Mixt</sic> Mathematics,<lb/> | |||
so many<lb/> | |||
<hi rend="underline">elapses</hi> are there of<lb/> | |||
the uses of pure<lb/> | |||
mathematics.</p> | |||
<head>180 6 Use of Uses<lb/> | |||
Pure are Useless</head> | |||
<p>Take away the uses of<lb/> | |||
<sic>mixt</sic> mathematics<lb/> | |||
those of pure mathematics<lb/> | |||
are equal to 0.</p> | |||
<head>181 7. Use of Uses</head> | |||
<p>Large portion of this<lb/> | |||
work devoted to an<lb/> | |||
exposition of its uses,<lb/> | |||
its branches.</p> | |||
<head>182 8. Use of Uses</head> | |||
<p>Its repulsiveness already mentioned —<lb/> | |||
proportioned, the difficulty of attainment<lb/> | |||
and need of overcoming it; first means<lb/> | |||
of facilitation persuading learners of its<lb/> | |||
usefulness.</p> | |||
1831 May 3 Seen May 4
Posology — Alegomorphics
9
Introduction?
2
167 1. Elucidated by
Alegomorphics or
Morphoscopics
In Posology numbers the
only foundation of clear
ideas.
168 2. Elucidated by
Alegomorphics
or Morphoscopics
In doctrine of probabilities
numbers the sole elementary
objects.
169. 3. Elucidated by
Alegomorphics
or Morphoscopics
Bodies are measured by
their surfaces — surfaces
by lines — lines by points:
how to measure the difference
between two unequal
lines.
170. 4. Elucidated by
Alegomorphics
or Morphoscopics
Geometricians have
thought they had found
a proportion not
expressible in numbers.
171 5. Elucidated by
Alegomorphics
or Morphoscopics
Numbers aside, the idea
of proportion is that
of two lines one is
greater than the
other — by how much
we cannot tell.
172. 6. Morphoscopics
Mechanics of
demonstration &
effectuation
Equality of lines — the
idea founded on that
of identity. Euclid
aware of this when
he proved the equality
of two lines by a
circle: method of
making a circle in
sand described.
---page break---
173 1. Alegomorphics
ad quid applied
Alegomorphic posology
applied and
unapplied.
174 2 Alegomorphics
ad quid applied
Subject matter it is
applied to.
1. Weights of single
bodies.
2 Weights of aggregates.
Measure
3. of surfaces
4. places
5. times
---page break---
Posology in general
Use indication of
need for — why
175. 1 Use of Uses
Mathematics particularly
requires indication
of use — per se, nothing
more useless — none requires
so much & severe
attention — none
less pleasing; chemistry,
mechanics, even anatomy
&c amuse — in
short all objects of
the senses.
176 2 Use of Uses
Posology has hitherto
appeared useless and
painful to learn.
177. 3. Use of Uses
Uses of Geometry much
more remote from
early observation
than of arithmetic.
178 4. Use of Uses
Uses of unapplied
correspond with those
of applied posology.
179 5. Use of Uses.
So many branches as
there are of Mixt Mathematics,
so many
elapses are there of
the uses of pure
mathematics.
180 6 Use of Uses
Pure are Useless
Take away the uses of
mixt mathematics
those of pure mathematics
are equal to 0.
181 7. Use of Uses
Large portion of this
work devoted to an
exposition of its uses,
its branches.
182 8. Use of Uses
Its repulsiveness already mentioned —
proportioned, the difficulty of attainment
and need of overcoming it; first means
of facilitation persuading learners of its
usefulness.
Identifier: | JB/135/117/001"JB/" can not be assigned to a declared number type with value 135. |
|||
---|---|---|---|
1831-05-03 |
167-187 |
||
135 |
posology |
||
117 |
posology - alegomorphic |
||
001 |
posology in general |
||
marginal summary sheet |
1 |
||
recto |
c2 / f9 |
||
richard doane |
|||
46235 |
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