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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.



135 

072 
the propositions of the fifth and sixth books of euclid as expressed by simson those written with red ink are added by himself 

001 

private material 
3 

recto 

sir samuel bentham 
[[watermarks::[tall thin motif with prince of wales feathers] icv]] 

46190 
