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<head>GEOMETRY</head>
<head>GEOMETRY</head>


The Use of each Proposition of Geometry [pure
<p>The Use of each Proposition of Geometry [pure
Mathematics] should be exemplified in some<lb/>
Mathematics] should be exemplified in some<lb/>
Science [mixed Mathermatics]. De Chales has<lb/>
Science [mixed Mathermatics]. De Chales has<lb/>
Line 15: Line 15:
separate Volume, this Separate Volume might<lb/>
separate Volume, this Separate Volume might<lb/>
either be systematic treatise on some branch<lb/>
either be systematic treatise on some branch<lb/>
of natural Philosophy in some part or other<lb/>
of which there is an example of the Use<lb/>
of each Prop of Geometry and many of<lb/>
some of them, or it might be a <del>be</del><lb/>
<sic>Miscellanious</sic> work consisting either only<lb/>
of some one use to each Prop<lb/>
is applied, or of a variety of examples<lb/>
in all sorts of learning [subjects.] to which <lb/>
Geometry which owe their truth<lb/>
accuracy foundation to Geometry.</p>
&#x2014;<lb/>
One fault in Geometrical demonstrations is<lb/>
<note>Imperfection<lb/>
of Some<lb/>
Demonstrations</note> that all the Intermediate Ideas are not enumerated<lb/>
so that altho <del>every the</del> nothing which is <unclear>asserted</unclear><lb/>
<p>during the progress of the demonstration can<lb/>
be denied yet the conclusion does not seem to<lb/>
procede from the stated facts, the reason of<lb/>
this must be that all the intermediate Ideas<lb/>
<note><add>[+]</add> That the Author had<lb/>
other intermediate Ideas<lb/>
besides those which he<lb/>
communicate to the<lb/>
<del>Scholar</del> reader</note> were not enumerated <add>[+]</add>for if they were and the <unclear>comparisons</unclear><lb/>
made why it is that the learner <unclear>asserts</unclear> not to the Conclusion as<lb/>
rends by as to the assertions on which it depends.</p>


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Revision as of 08:49, 11 October 2017

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GEOMETRY

The Use of each Proposition of Geometry [pure Mathematics] should be exemplified in some
Science [mixed Mathermatics]. De Chales has
done this at the end of each proposition,
Use of each
Proposition
exemplified.
Quere — whether it might not be better if
these examples were collect ed together in a
separate Volume, this Separate Volume might
either be systematic treatise on some branch
of natural Philosophy in some part or other
of which there is an example of the Use
of each Prop of Geometry and many of
some of them, or it might be a be
Miscellanious work consisting either only
of some one use to each Prop
is applied, or of a variety of examples
in all sorts of learning [subjects.] to which
Geometry which owe their truth
accuracy foundation to Geometry.


One fault in Geometrical demonstrations is
Imperfection
of Some
Demonstrations
that all the Intermediate Ideas are not enumerated
so that altho every the nothing which is asserted

during the progress of the demonstration can
be denied yet the conclusion does not seem to
procede from the stated facts, the reason of
this must be that all the intermediate Ideas
[+] That the Author had
other intermediate Ideas
besides those which he
communicate to the
Scholar reader
were not enumerated [+]for if they were and the comparisons
made why it is that the learner asserts not to the Conclusion as
rends by as to the assertions on which it depends.






Identifier: | JB/135/061/001"JB/" can not be assigned to a declared number type with value 135.

Date_1

Marginal Summary Numbering

not numbered

Box

135

Main Headings

Folio number

061

Info in main headings field

geometry

Image

001

Titles

Category

copy/fair copy sheet

Number of Pages

4

Recto/Verso

recto

Page Numbering

Penner

sir samuel bentham

Watermarks

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

Marginals

sir samuel bentham

Paper Producer

Corrections

Paper Produced in Year

Notes public

ID Number

46179

Box Contents

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