Proposition Replicated

Proposition V.24

If a first magnitude have to a second the same ratio as a third has to a fourth, and also a fifth have to the second the same ratio as a sixth to the fourth, the first and fifth added together will have to the second the same ratio as the third and sixth have to the fourth.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:V.24

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.12 V.22

PropositionProposition V.24

Outgoing (1)

VI.31

Full neighborhood

Depends on (2)

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…
V.22Proposition V.22If there be any number of magnitudes whatever, and others equal to them in multitude, which taken two and two together…

Required by (dependents) (1)

VI.31Proposition VI.31In right-angled triangles the figure on the side subtending the right angle is equal to the similar and similarly…

Discussion

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