Euclid:Proposition/X/16

Proposition

In the words of Euclid:

If two incommensurable magnitudes be added together, the whole will also be incommensurable with one of them; and, if the whole be incommensurable with one of them, the original magnitudes will also be incommensurable.

(The Elements: Book $\text{X}$: Proposition $16$)

Sources

• 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 3 (2nd ed.) ... (previous) ... (next): Book $\text{X}$. Propositions