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# JB/135/015/002

Completed

DEFINING. (I.)

1. When one of the Definienda is defined, put a Definienda when
defined referred to the
Definita

number to it as a Mark of reference to the Sheet entitled
Definita.

2. For a right When a definition cannot be had, we Description
vice
Definition

must be content with a Description. For Example
if we contain cannot obtain an adequate definition
of a Right Line, we must be satisfied with a description
of the Method by which we obtain the Idea of it.

3. Terms in common use must be defined before Terms to be defined
before they are admitted
into Definitions &c

they have admission into Definitions, Propositions &c.

4. When a Term is defined, write all those that are Synonimous Terms
enumerated

Synonimous and used by any Geometrician.

5. In a description of the Species of Figures, first state Description
Method of

the several variations that can happen determining
the Species, and then give the Names of each.

6. In definitions first define the Term Definition, CLASSIFICAT
then the general Term Proposition, and next
the several Species of propositions [vid. definite
I.6] then must follow in order a Geometrical
Point

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DEFINING.(I)

CLASSIFICAT Point, Line, Angle, Superficies, Figure, and after
them the several Sorts of Points, Lines &c

In defining Lines, first define those which are
independent and concerned with no others; then
those which are concerned with Points, as finite &c;
next those that are concerned with other Lines, as
at Right Angles, parallel &c; next those which
have connexion with Figure; as diagonal,
proving &c; and lastly those concerned in Circles
— First Lines considered apart — then in Combination.

After the definition of Proportional & Proportionality
explain the several Modes of comparing the several
Proportionals. orders of Comparison.

Figures must be distinguished from the [defined] by naming
some property of them take away their properties
and there would be nothing left as a characteristic.
Def of
Figures.
Any one peculiar property may serve as a definition
the simplest the best than that which depends
upon more the simple prop for its truth.
There is no property which a figure has but
it may be demonstrated to have if one
other property be assumed for serve for that
time as a Characteristic. what you demonstrate then
is that figures the same figure has 3 angles 3 sides angles
equal to two right ones equal to half a parallelogram on the same
base & altitude, no matter which of this properties the name is taken [+] [+] no matter which
serves as a definition
to say a triangle is
a figure having 3 sides
or a Trilateral is
one having 3 angles
comes to the same
thing. let these properties
are more apparent than, [++]
the 2 last therefore better

[++] These properties some part which point themselves at the inspection of the Figure.
It is better that all figures should be characterised from the same properties,
one would not say Triangular & quadriaterat rather trilateral if

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Identifier: | JB/135/015/002
"JB/" can not be assigned to a declared number type with value 135.

1-6

135

015

defining (i)

002

copy/fair copy sheet

2

recto

uk14

[[watermarks::gr [with crown] [britannia motif]]]

46133