Proposition Replicated
Proposition V.14
If a first magnitude have to a second the same ratio as a third to a fourth, and the first be greater than the third, the second will also be greater than the fourth; and if equal, equal; and if less, less.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:V.14
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 (3)
- V.8Proposition V.8Of unequal magnitudes the greater has to the same a greater ratio than the less has, and the same has to the less a…
- V.10Proposition V.10Of magnitudes which have a ratio to the same, that which has a greater ratio is greater; and that to which the same has…
- 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…
Required by (dependents) (3)
- 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…
- V.25Proposition V.25If four magnitudes be proportional, the greatest and least are greater than the remaining two.
Discussion
No replications, contradictions, or comments registered yet for this claim.