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

JB/018/012/001

Jump to: navigation, search
Completed

Click Here To Edit 21 Apr 1815 Chrest Tab.II Particular Branch
1. Geometry
1. Verbal
11
Parts in every portion
of discourse, termed
Geometric a proposition:
viz
I Constantly and necessarily
occurring-
1. Enuntiation
2. Demonstration
II. Commonly occurring
3. Preparatively directive
directive part
directive -preparative:
viz. directive
for steps to be taken
for preparing the ground
for the demonstration(a)


1. Enuntiation, or enuntiative part - enuntiative, viz. of the
I. EnuntiationEnuntiation part viz. enuntiative ofof the proposition to be demonstrated - (a)
II Preparatory direction - viz. direction for the performance
of the the Demonstration or demonstrative part-
in every one of the , portion of discourse, to the whole of which the
term proposition - a proposition - is customarily applied by geometiniary,
these two parts at least will be found.
To these will in most instances be found added what may
be termed the preparatory direction - directive part, is
preparationpreparatorily directives part - viz. the part by which
direction is given for the operation to be performed - necessary
comments of add made to the originally
conceived exhibited or conceived figure, for the purpose 11(a)
1. [Demonstrate] viz in
a theorem, that what
is asserted is true: in a
problem, that what is
done is what was required,
and undertaken
to be done.

of the demonstration to preparing the ground for the
demonstration for the purpose of preparing the ground
for the demonstrations.

Note(a)

(a) [Demonstrated] viz. either that what is asserted, (as in the 2. Theorem is most
apt to occurr: Reasons
1. More theorems than
problems
2. Demonstration applies
not to a problem, but
by means of additional
words not commonly added

case of the sort of proposition called a theorem,) is correct and true: or that
what thehas been undertaken to be done, (as in the case of the sort of proposition
called a problem) has accordingly been done. When it is said
demonstrated Theorem or problem to every portion
any such phrase as the demonstration of a proposition occurrs
if formed by a geometric a proposition
the sort of proposition which on any such occasion is most
of these two demonstrations for considered
apt the present itself, is a theorem: and this, not
applicable to both of them of both
these species of proposition the have demonstration the term demonstration To H.Th. & J.M
Quere whether to insert
this note, or any and
what part of it?

considered consequently plans. The subject
considered applicable giving
only because theorems are mere more frequently occurr
to the to shew that this assertion
is correct and true.
In the case of the problem
a the supposition is started
of a requisition, calling
upon the author to construct
a figure that shall
possess a certain property

than problems, but because in the case of a problem the term
the the course of the theorem the
demonstration will not apply without in figure such manner
properly the
as to compleat the sense, without the asserti insertion of a number
between
of words, of which, as the other case there is no
of figures are afforded to have and to from
the object and specific demonstration is to

---page break---



Identifier: | JB/018/012/001
"JB/" can not be assigned to a declared number type with value 18.

Date_1

1815-04-21

Marginal Summary Numbering

11, 11a

Box

018

Main Headings

chrestomathia

Folio number

012

Info in main headings field

chrest. tab. ii

Image

001

Titles

note (a)

Category

text sheet

Number of Pages

1

Recto/Verso

recto

Page Numbering

c1 / e5

Penner

jeremy bentham

Watermarks

Marginals

jeremy bentham

Paper Producer

Corrections

Paper Produced in Year

Notes public

ID Number

6421

Box Contents

UCL Home » Transcribe Bentham » Transcription Desk