Euclid:Proposition/X/42/Lemma

Proposition

In the words of Euclid:

Let the straight line $AB$ be set out, let the whole be cut into unequal parts at each of the points $C, D$, and let $AC$ be supposed greater than $DB$;
I say that the squares on $AC, CB$ are greater than the squares on $AD, DB$.

(The Elements: Book $\text{X}$: Proposition $42$ : Lemma)

Sources

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