Proposition Replicated
Proposition V.1
If there be any number of magnitudes whatever which are, respectively, equimultiples of any magnitudes equal in multitude, then, whatever multiple one of the magnitudes is of one, that multiple also will all be of all.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:V.1
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
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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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