Definition:Euclid's Definitions - Book X/2 - Commensurable in Square

Definition

In the words of Euclid:

Straight lines are commensurable in square when the squares on them are measured by the same area, and incommensurable in square when the squares on them cannot possibly have any area as a common measure.

(The Elements: Book $\text{X}$: Definition $2$)

Sources

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