Definition:Euclid's Definitions - Book X (II)/1 - First Binomial

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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 $1$)


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