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should be proved equal under like circumstances</p> | should be proved equal under like circumstances</p> | ||
—<lb/> | —<lb/> | ||
<p>3. Consider the different orders <hi rend="underline">Geometerical Tut</hi>hs have been <note>Different Classification<lb/> | |||
of Different Authors</note><lb/> | |||
disposed in, by different Authors, and the different ends they<lb/> | |||
had in view in [purposes they have sought to compass by] such<lb/> | |||
different Dispositions.</p> | |||
—<lb/><pb/> | |||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}} |
CLASSIFICATION (I)
1. If it should be necessary to insert any new Propositions Euclids Order
preferred
Those of Euclid should still retain their former names, as they
are refered to be those names form Books of Mechanics. &
—
2. By the assistance f the Cards described Method 1
ThOrder of Prop: and Cor: may be changed so as to Order how
Changeable
at pleasure
Use of it
place all those together which relate to the several
genera & species, and By this means each parcel
may be made equally perfect. For Ex: if after having
divided Triangles and Parallelograms into 2 parcels
you find that for Triangles as well as Parallelograms
upon the same bases & between the same parallels
are proved equal, But that Triangles only are if on equal bases
proved equal, then you perceive that Parallelograms
should be proved equal under like circumstances
—
3. Consider the different orders Geometerical Tuths have been Different Classification
of Different Authors
disposed in, by different Authors, and the different ends they
had in view in [purposes they have sought to compass by] such
different Dispositions.
—
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Identifier: | JB/135/019/002"JB/" can not be assigned to a declared number type with value 135. |
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sir samuel bentham |
[[watermarks::gr [with crown] [britannia motif]]] |
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