Proposition Replicated
Proposition V.8
Of unequal magnitudes the greater has to the same a greater ratio than the less has, and the same has to the less a greater ratio than it has to the greater.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:V.8
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
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Required by (dependents) (3)
- V.9Proposition V.9Magnitudes which have the same ratio to the same are equal to one another; and magnitudes to which the same has the…
- 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.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,…
Discussion
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