Proposition Replicated
Proposition V.18
If magnitudes separated be proportional, they will also be proportional componendo.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:V.18
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
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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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