Proposition Replicated

Proposition V.21

If there be three magnitudes, and others equal to them in multitude, which taken two and two together are in the same ratio, and the proportion of them be perturbed, then if ex aequali the first be greater than the third, the fourth will also be greater than the sixth.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:V.21

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 (2)

V.13 V.14

PropositionProposition V.21

Outgoing (1)

V.23

Full neighborhood

Depends on (2)

V.13Proposition V.13If a first magnitude have to a second the same ratio as a third to a fourth, and the third have to the fourth a greater…
V.14Proposition V.14If a first magnitude have to a second the same ratio as a third to a fourth, and the first be greater than the third,…

Required by (dependents) (1)

V.23Proposition V.23If there be any number of magnitudes whatever, and others equal to them in multitude, which taken two and two together…

Discussion

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