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those of their boundaries.</p> | those of their boundaries.</p> | ||
Where ever it is necessary there should be a particular<lb/> | <p>Where ever it is necessary there should be a particular<lb/> | ||
construction suited to the particular figure to be<lb/> | construction suited to the particular figure to be<lb/> | ||
demonstrated, <del>in this case</del> <add>following</add> <del>under</del> certain<lb/> | demonstrated, <del>in this case</del> <add>following</add> <del>under</del> certain<lb/> | ||
general instructions. in this case the confusing<lb/> | |||
himself to a particular figure has prevented<lb/> | |||
his seeing the necessity of giving such<lb/> | |||
general instructions as shall be applied<lb/> | |||
to all cases and you are left therefore<lb/> | |||
to seek for a demonstration to any<lb/> | |||
other case than that exemplified by<lb/> | |||
Euclid. Whereas had he gone about<lb/> | |||
to have given general instructions <add>[+]</add> he <note><add>[+]</add> without specifying<lb/> | |||
any particular<lb/> | |||
<del>example</del> case<lb/> | |||
unless it were<lb/> | |||
as a means of<lb/> | |||
exemplifying the<lb/> | |||
general proportion</note><lb/> | |||
would no doubt have done it is so that<lb/> | |||
the scholar being left at liberty to choose<lb/> | |||
the example <del>the</del> such instructions <gap/><lb/> | |||
have been universally sufficient. [Ex <gap/><lb/> | |||
B.D.]. Angle & angular point the same thing,<lb/> | |||
Distinctions Misplaced, wanting, superabundant.<lb/> | |||
Axioms made Propositions or Prop. Axioms.<lb/> | |||
Mathematical Points & lines from what the Ideas of <gap/> are to be <lb/> | |||
taken, where their Archetypes can be fa<gap/><lb/> | |||
in nature if in the<lb/> | |||
boundaries of a figure<lb/> | |||
or the junction of<lb/> | |||
two surfaces.<lb/> | |||
the middle of lines.</p> | |||
<p>What the Professor says to these matters?</p> | |||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}} | ||
Ideas of the Areas of figures confounded with
those of their boundaries.
Where ever it is necessary there should be a particular
construction suited to the particular figure to be
demonstrated, in this case following under certain
general instructions. in this case the confusing
himself to a particular figure has prevented
his seeing the necessity of giving such
general instructions as shall be applied
to all cases and you are left therefore
to seek for a demonstration to any
other case than that exemplified by
Euclid. Whereas had he gone about
to have given general instructions [+] he [+] without specifying
any particular
example case
unless it were
as a means of
exemplifying the
general proportion
would no doubt have done it is so that
the scholar being left at liberty to choose
the example the such instructions
have been universally sufficient. [Ex
B.D.]. Angle & angular point the same thing,
Distinctions Misplaced, wanting, superabundant.
Axioms made Propositions or Prop. Axioms.
Mathematical Points & lines from what the Ideas of are to be
taken, where their Archetypes can be fa
in nature if in the
boundaries of a figure
or the junction of
two surfaces.
the middle of lines.
What the Professor says to these matters?
|
Identifier: | JB/135/058/002"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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058 |
[[info_in_main_headings_field::geomety [sic]]] |
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002 |
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copy/fair copy sheet |
2 |
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recto |
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sir samuel bentham |
[[watermarks::gr [with crown]]] |
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46176 |
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