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# JB/135/290/001

Completed

1824 April 23 1831 May 3 M
Posology — First Lines — Rudiments

1. Alegomorphic
124
§. 3. Explains Morphoscopics

1

1. Sole source of clear ideas .. numbers: Addition of 1. Form ---2. Motion.

1
In Posology numbers
the only foundation
of clear ideas.

Throughout the whole of Posology commonly & uncharacteristically
called Mathematics, numbers compose the only
foundation of clear ideas.

2.
In doctrine of probabilities
numbers
the sole elementary
objects.

In that part which gives expression to the doctrine of
probabilities, numbers — mere numbers exclusive of all regard
to form and motion are undisputably, the sole elementary
objects.

This will be found to be no less true in the nature of
the case, setting aside customary mode of expression in the case of that
branch of Posology in which form is taken into the account
and which having in perhaps its first application been
applied to the measurement of land has obtained and
perhaps from thence the name of Geometry.

3
Bodies are measured
by their surfaces — surfaces
by lines — lines
by points: how
to measure the
difference between
two unequal lines.

Bodies are measured by the surfaces by which they
are terminated: surfaces by the lines by which they are
terminated: lines by the points by which they are terminated.
Take two of these lines and for simplicity sake suppose
them right lines and these not exactly equal, but one
of them longer than the other, would you wish for a clear
idea of the difference? no otherwise can you have it than
by means of numbers. You must proceed on the supposition
of a certain line considerably shorter than the shortest
of them: lines all of them equal to this and consequently
to each other you conceive added to it, till altogether
they form a compound line exactly equal to that same
shorter of the two lines: continue the addition till you
have composed a line equal to the longer of the two: thus
& thus only can you form any clear idea of the proportion
each bears to the other
— of the difference between
the two.

Identifier: | JB/135/290/001
"JB/" can not be assigned to a declared number type with value 135.

1824-04-23

1-3

135

posology

290

posology - first lines - rudiments

001

copy/fair copy sheet

1

recto

e1 / g124

richard doane

46408