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# JB/135/226/001

Completed

1828 Sept. 21 C
Posology

Ch Morphoscopic
24
Contrivance

1

§. Appropriate Contrivances — exemplified in the first proposition of Euclid.

Take a straight rod of any convenient material, and
any convenient length. Placing it suppose on a sheet of paper in any
direction — suppose that which is parallel to
one end of it fixt, turn it round till it has come
back into the position in which it was just
before the motion begun. If Suppose the rod smeared, at bottom, with
any black coloured matter which by coming off will
leave a mark the whole way on the paper.
In form This mark will be what the figure called a
circle
: of which the edge all round is called
the circumference: and the point at the fixt end, the
centre. Stop the rod any where during its course, you will find the mark made
by it bounded by a straight
line. From a Greek word This line is called a semidiameter, or a radius: which in
Latin [+]
[+] Latin means a ray of light: or
the spoke of a wheel: Stop next [+]2
[+]2 at the point at which the
rod is in the same direction, as
when you stopt first. You will [+]2
[+]3 find the another line continued in the
same direction with the first
and making one line with the first This compound
line
is called
the diameter
of the
circle:
from two
Greek words
one meaning
other a
measure.

This done, within taking care not to
change the place of that central point, with the rod parallel to you as before keep the
other end of the rod it fixt, and describe a
second circle in the same way as you did
the first. This done, you will find the two circles
cutting one another at two points: the one
above the horizontal position the rod was in before
you began to turn it; the other, underneath it,
letting it rest in the position it was in before you first began to turn it.
. Up To the place where they cut one another
A
at the point above, draw two lines, one from the end
in your left hand; the other from the end at your
right. Do the same thing From these same two
ends do the same thing down to the place where
they cut one another at the point underneath.
Here you will have two figures one above the rod in
its original situation the other below. The one above is bounded
by the two lines drawn above with the line described by the rod in its
original situation: the other above is bounded by the two lines drawn
below together with that same original line: which thus belongs to both in common
The

Identifier: | JB/135/226/001
"JB/" can not be assigned to a declared number type with value 135.

1828-09-21

135

posology

226

posology

001

appropriate contrivances - exemplified in the first proposition of euclid

text sheet

1

recto

d1 / e1 / g24

jeremy bentham

b&m 1828

arthur moore; richard doane

1828

46344