Proposition V.1 — If there be any number of magnitudes whatever which are, res…

Proof

Each magnitude is a sum of

m

copies of the corresponding base magnitude. Sum across the

n

magnitudes; by Common Notion 2 the total is

m

copies of the sum.

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Depends on (2)

Required by (dependents) (3)

V.2Proposition V.2If a first magnitude be the same multiple of a second that a third is of a fourth, and a fifth also be the same…
V.3Proposition V.3If a first magnitude be the same multiple of a second that a third is of a fourth, and if equimultiples be taken of the…
V.12Proposition V.12If any number of magnitudes be proportional, as one of the antecedents is to one of the consequents, so will all the…

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