Proposition Replicated

Proposition V.16

If four magnitudes be proportional, they will also be proportional alternately.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:V.16

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 (3)

PropositionProposition V.16

Outgoing (1)

Full neighborhood

Depends on (3)

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.11Proposition V.11Ratios which are the same with the same ratio are also the same with one another.
V.15Proposition V.15Parts have the same ratio as the same multiples of them taken in corresponding order.

Required by (dependents) (1)

V.19Proposition V.19If, as a whole is to a whole, so is a part subtracted to a part subtracted, the remainder will also be to the remainder…

Discussion

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