Proposition Replicated
Proposition V.13
If 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 ratio than a fifth has to a sixth, the first will also have to the second a greater ratio than the fifth to the sixth.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:V.13
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
Neighborhood at a glance
Full neighborhood
Depends on (1)
Required by (dependents) (3)
- 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,…
- V.20Proposition V.20If there be three magnitudes, and others equal to them in multitude, which taken two and two are in the same ratio, and…
- V.21Proposition V.21If there be three magnitudes, and others equal to them in multitude, which taken two and two together are in the same…
Discussion
No replications, contradictions, or comments registered yet for this claim.