Euclid:Proposition/VII/12

Proposition

In the words of Euclid:

If there be as many numbers as we please in proportion, then, as one of the antecedents is to one of the consequents, so are all the antecedents to all of the consequents.

(The Elements: Book $\text{VII}$: Proposition $12$)

Sources

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