Definition:Euclid's Definitions - Book X (II)/4 - Fourth Binomial

Definition

In the words of Euclid:

Again, if the square on the greater term be greater than the square on the lesser by the square on a straight line incommensurable in length with the greater, then, if the greater term be commensurable in length with the rational straight line set out, let the whole be called a fourth binomial;

(The Elements: Book $\text{X (II)}$: Definition $4$)

Sources

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