Proof
The converse of V.17: if , then by V.2 plus V.4
combined, .
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Depends on (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.4Proposition V.4If a first magnitude have to a second the same ratio as a third to a fourth, any equimultiples whatever of the first…
- V.17Proposition V.17If magnitudes composed be proportional, they will also be proportional separando.
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