Euclid:Proposition/V/24

Proposition

In the words of Euclid:

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

(The Elements: Book $\text{V}$: Proposition $24$)

Sources

• 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 2 (2nd ed.) ... (previous) ... (next): Book $\text{V}$. Propositions