Proposition Replicated

Proposition V.3

If a first magnitude be the same multiple of a second that a third is of a fourth, and if equimultiples be taken of the first and third, they will also be equimultiples respectively, the one of the second and the other of the fourth.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:V.3

Euclid's Elements, encoded as an rrxiv paper

Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT

Neighborhood at a glance

Incoming (1)

V.1

PropositionProposition V.3

Outgoing (1)

V.4

Full neighborhood

Depends on (1)

V.1Proposition V.1If there be any number of magnitudes whatever which are, respectively, equimultiples of any magnitudes equal in…

Required by (dependents) (1)

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…

Discussion

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