JB/135/026/002

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OBSERVATIONS CRITICAL

1. EACH TO EACH. An impression used by Euclid toThe meaning intended to be conveyed
by this expression is convey and Idea directly opposite to the litteral meaningone
For example in the 4 Prop of 1. Book there is a Triangle the A Triansuppose 2 Triangle to be given when angles are ard
three angles which are said to be to be equal to the 3 angles
to be equal each to each one of the angles
of another Triangle each to each. of the
of one triangle, and it must be equal to each of
those in the Triangle assumetake another and that
must be equal to each those of the other Triangle
again assumetake the a third and this must be
equal to each of the other Triangle this one
assumed then is equal to any assumed are of the
other triangle. Again assume some other in the
sameone triangle and by in the same manner
it may be found equal to any assumed one
in the other. lastly assume the third angle
and in the same manner prove this
equal to any assumed one in the other.
now then we have proved that every
one angle of one triangle is equal
any one of the other wherefore they are all
equal. But Euclid put this expression
to prevent the 3 angles of one Triangle
to be thought equal to the other in the
other any one to any one. Wherefore
his expression is false. vid EACH to ONE.

Each to Each—

Identifier: | JB/135/026/002"JB/" can not be assigned to a declared number type with value 135.
Date_1		Marginal Summary Numbering	1
Box	135	Main Headings
Folio number	026	Info in main headings field	observations critical
Image	002	Titles
Category	copy/fair copy sheet	Number of Pages	2
Recto/Verso	recto	Page Numbering
Penner	sir samuel bentham	Watermarks	[[watermarks::[gr with crown] [pro patria motif]]]
Marginals	sir samuel bentham	Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	46144
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