Euclid:Proposition/VIII/2/Porism

Proposition

In the words of Euclid:

From this it is manifest that, if three numbers in continued proportion be the least of those which have the same ratio with them, the extremes of them are squares, and if four numbers, cubes.

(The Elements: Book $\text{VIII}$: Proposition $2$ : Porism)

Sources

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