JB/135/029/002

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That may be found
better without than
with a diagram From the same point are drawn different right two lines one to
one point, another to another

a right line is the shortest that can be drawn
between any two points

If any othera right lines are once more use drawn from
the first point point in question to the 2 others, they must
be either the same with the two others
or different

If they are the same they dont come under
the point of the proposition which is predicated
of such as are different

They are eithermust state
taken together they must either be greater
than the first or less or equal
If taken together they are greater than one
at least if not both, must be greater & so
[+] to the corresponding
one of the other. each is not equal:[+] if taken together they
are less, than one at least if not both
must be less, & so in this case to, each
is not equal.

If taken together they are equal with the two

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L I Prop. 8 corresponding onestaken together, they must coincide
with them.

CLASSIFICATION This proposition may serve as an example to shew prove that the order of demonstration is not the same with the order of invention. It seems as if the Author had gotten some inexplicit notion of the truth os it in the ways I have been mentioning: but that which he has used happen'd to be the first method that occurred to him of proving it against a gainsayer. [+] to the several parts that are to be considered names are given according to the Ordinary method of Notation, it is included in 3 boundaries to one of these boundaries is given the name of A to another B to the remaoning one C. to the whole triangle thus included the complex name ABC,

Identifier: | JB/135/029/002"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	029	Info in main headings field	euclid
Image	002	Titles	classification
Category	copy/fair copy sheet	Number of Pages	2
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	46147
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