xml:lang="en" lang="en" dir="ltr">

Transcribe Bentham: A Collaborative Initiative

From Transcribe Bentham: Transcription Desk

Keep up to date with the latest news - subscribe to the Transcribe Bentham newsletter; Find a new page to transcribe in our list of Untranscribed Manuscripts


Jump to: navigation, search

Click Here To Edit


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

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

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

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

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

---page break---


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
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
quadrilateral & quadrangular if triangular.

---page break---

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


Marginal Summary Numbering




Main Headings

Folio number


Info in main headings field

defining (i)





copy/fair copy sheet

Number of Pages




Page Numbering




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


Paper Producer


jeremy bentham; samuel bentham

Paper Produced in Year

Notes public

ID Number


Box Contents

UCL Home » Transcribe Bentham » Transcription Desk