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# JB/135/117/001

Completed

1831 May 3 Seen May 4

Posology — Alegomorphic

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
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
Medium 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

Alegomorphic posology
applied and
unapplied.

174 2 Alegomorphics

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
classes 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

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