Definition:Euclid's Definitions - Book X (II)/1 - First Binomial
Jump to navigation
Jump to search
Definition
In the words of Euclid:
- Given a rational straight line and a binomial, divided into its terms, such that the square on the greater term is greater than the square on the lesser by the square on a straight line commensurable 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 first binomial straight line;
(The Elements: Book $\text{X (II)}$: Definition $1$)
Sources
- 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 3 (2nd ed.) ... (previous) ... (next): Book $\text{X}$. Definitions $\text{II}$