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<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 only</add> <del>under</del> certain<lb/> | ||
general instructions. in this case the | general instructions. in this case the <unclear>confining</unclear><lb/> | ||
himself to a particular figure has prevented<lb/> | himself to a particular figure has prevented<lb/> | ||
his seeing the necessity of giving such<lb/> | his seeing the necessity of giving such<lb/> | ||
general instructions as shall be | general instructions as shall be applicable<lb/> | ||
to all cases and you are left therefore<lb/> | to all cases and you are left therefore<lb/> | ||
to seek for a demonstration to any<lb/> | to seek for a demonstration to any<lb/> | ||
| Line 24: | Line 24: | ||
exemplifying the<lb/> | exemplifying the<lb/> | ||
general proportion</note><lb/> | general proportion</note><lb/> | ||
would no doubt have done it is so that<lb/> | would no doubt have done it is so as that<lb/> | ||
the scholar being left at liberty to choose<lb/> | the scholar being left at liberty to choose<lb/> | ||
the example <del>the</del> such instructions <gap/><lb/> | the example <del>the</del> such instructions <gap/><lb/> | ||
have been universally sufficient. [Ex < | have been universally sufficient. [Ex <unclear>draw</unclear><lb/> | ||
B.D.]. Angle & angular point the same thing,<lb/> | B.D.]. Angle & angular point the same thing,<lb/> | ||
Distinctions Misplaced, wanting, superabundant.<lb/> | Distinctions Misplaced, <unclear>wanting</unclear>, superabundant.<lb/> | ||
Axioms made Propositions or Prop. Axioms.<lb/> | Axioms made Propositions or Prop. Axioms.<lb/> | ||
Mathematical Points & lines from what the Ideas of <gap/> are to be <lb/> | Mathematical Points & lines from what the <note>Ideas of <gap/> are to be <lb/> | ||
taken, where their Archetypes can be fa<gap/><lb/> | taken, where their Archetypes can be fa<gap/><lb/> | ||
in nature if in the<lb/> | in nature if in the<lb/> | ||
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or the junction of<lb/> | or the junction of<lb/> | ||
two surfaces.<lb/> | two surfaces.<lb/> | ||
the middle of lines | the middle of lines</note></p> | ||
<p>What the Professor says to these matters?</p> | <p>What the Professor says to these matters?</p> | ||
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 only under certain
general instructions. in this case the confining
himself to a particular figure has prevented
his seeing the necessity of giving such
general instructions as shall be applicable
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 as that
the scholar being left at liberty to choose
the example the such instructions
have been universally sufficient. [Ex draw
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?
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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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