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<head>GEOMETRY</head> | <head>GEOMETRY</head> | ||
<p>The Use of each Proposition of Geometry [pure | <p>The Use of each Proposition of Geometry [pure<lb/> | ||
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 11: | Line 11: | ||
<note>Use of each<lb/> | <note>Use of each<lb/> | ||
Proposition<lb/> | Proposition<lb/> | ||
exemplified.</note>Quere — whether it might not be better if<lb/> | exemplified.</note> Quere — whether it might not be better if<lb/> | ||
these examples were | these examples were collected together in a<lb/> | ||
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/> | ||
Line 22: | Line 22: | ||
of some one use to each Prop<lb/> | of some one use to each Prop<lb/> | ||
is applied, or of a variety of examples<lb/> | is applied, or of a variety of examples<lb/> | ||
in all sorts of | in all sorts of <hi rend="underline">learn</hi>ing [subjects.] to which <lb/> | ||
Geometry which owe their truth<lb/> | Geometry is subservient which depend<lb/> | ||
on Geometry which owe their truth<lb/> | |||
accuracy foundation to Geometry.</p> | accuracy foundation to Geometry.</p> | ||
One fault in Geometrical demonstrations is<lb/> | <p>One fault in Geometrical demonstrations is<lb/> | ||
<note>Imperfection<lb/> | <note>Imperfection<lb/> | ||
of Some<lb/> | of Some<lb/> | ||
Demonstrations</note> that all the | Demonstrations</note> that all the <hi rend="underline">Intermed</hi>iate Ideas are not enumerated<lb/> | ||
so that altho <del>every the</del> nothing which is <unclear>asserted</unclear><lb/> | so that altho <del>every the</del> nothing which is <unclear>asserted</unclear><lb/> | ||
during the progress of the demonstration can<lb/> | |||
be denied yet the conclusion does not seem to<lb/> | be denied yet the conclusion does not seem to<lb/> | ||
procede from the stated facts, the reason of<lb/> | procede from the stated facts, the reason of<lb/> | ||
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other intermediate Ideas<lb/> | other intermediate Ideas<lb/> | ||
besides those which he<lb/> | besides those which he<lb/> | ||
communicated to the<lb/> | |||
<del>Scholar</del> reader</note> were not enumerated <add>[+]</add>for if they were and the <unclear>comparisons</unclear><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/> | made why it is that the learner <unclear>asserts</unclear> not to the Conclusion as<lb/> | ||
readily as to the assertions on which it depends.</p> | |||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}}{{Completed}} |
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 collected 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 is subservient which depend
on 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
communicated 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
readily 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. |
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not numbered |
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135 |
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061 |
geometry |
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001 |
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copy/fair copy sheet |
4 |
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recto |
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sir samuel bentham |
[[watermarks::gr [with crown] [britannia motif]]] |
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46179 |
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