JB/135/072/001

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Prop IV Theor.

If the first of four magnitudes has the same
ratio to the second which the third has to the
fourth then any equimultiples whatever
of the first and third shall have the same ratio
to any equimultiples of the second & fourth.
viz the equimultiple of the first shall have
the same ratio to that of the second which the
equimultiple of the third has to that of the
fourth.

Prop V Theor.

If one magnitude be the same multiple
of another, which a magnitude taken from
the first is of a magnitude taken from the
other: the remainder shall be the same
multiple of the remainder, that the
whole is of the whole.

Prop VI Theor.

If two magnitudes be equimultiples of
two others, and if equimultiples of these be
taken from the first two, the remainders
are either equal to these others or
equimultiples of them.—

Identifier: | JB/135/072/001 "JB/" can not be assigned to a declared number type with value 135.
Date_1		Marginal Summary Numbering
Box	135	Main Headings
Folio number	072	Info in main headings field	the propositions of the fifth and sixth books of euclid as expressed by simson those written with red ink are added by himself
Image	001	Titles
Category	private material	Number of Pages	3
Recto/Verso	recto	Page Numbering
Penner	sir samuel bentham	Watermarks	[[watermarks::[tall thin motif with prince of wales feathers] icv]]
Marginals		Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	46190
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