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# JB/135/023/002

Completed

In announcing a Proposition make use of the
The Difficulties as yet fresh in my Memory.

In definitions first define a Geometrical DEFINING
Point, line, angle Superficies Figure then the ORDER of
DEFINITION

divisions or several sets of Points, lines &c.Classification
In defining of lines first define those which are
independent and concerned with no others. then
those which are concerned with points, as finite &c.
next those which are concerned with otherslines
as right angles parallel &c. next those which
have connection with figure such as
diagonal proving &c and lest Circles
and lastly those concerned in Circles.
First lines considered a part lines as
lines considered in combination.

To consider the different

To Consider the different methods orders, Geometrical CLASSification Truths have been disposed in by different Authors PREFAT.
Prefat.

and the different order they have had in view, in
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[Purposes they sought to compass by] such
different dispositions.

Observations Critical

If at a l several lines joining one another /\/\/\ Crooked Line
Improper
Vid Cowley's Geometry

may be called one line the Boundaries of a Parallel. may be call one line then may right lined figures
said to be bounded by one line as well as a Circle.

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A Proposition to prove that a line drawn
at right angles to 2 parallel lines is the
shortest that can be drawn join them.

Definienda

PARALLEL
lLINES
straight and
curved.
The shortest lines that can be drawn
joining Arcs of Circles is a radius
of that circle and when such radii
are equal these arcs are parallel
and the distance between the Arcs is

Demonstranda

Qu: SUPERPOSITION
allowable
Consider if it is allowable to demonstrate
by Superposition. Some Authors have thought
it is not Qu. these reasons, and how they would
do without it.

Definienda

INFINITE
LINE
Shew the falsity of an Infinite line
and put indefinite in its room.

Consider in what arcs a line is to be
considered a Finiite and when Indefinite
FINITE GIVEN
INDEFINITE
whether aln Indefinite line can be said
to be given in other words remember
the diff of Given line to consider if
the direction or position be sufficient
if so when is it to be known that a line
is intended to be finite & when indefinite.

STRAIGHT LINE Consider when a straight line is to be understood

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Identifier: | JB/135/023/002
"JB/" can not be assigned to a declared number type with value 135.

not numbered

135

023

memorandums

002

private material

2

recto

sir samuel bentham

[[watermarks::[gr with crown] [pro patria motif]]]

46141