# Area contained by Apotome and Binomial Straight Line Commensurable with Terms of Apotome and in same Ratio/Porism

## Theorem

In the words of Euclid:

And it is made manifest to us by this also that it is possible for a rational area to be contained by irrational straight lines.

## Proof

Directly apparent from the construction.

$\blacksquare$

## Historical Note

This proof is Proposition $114$ of Book $\text{X}$ of Euclid's The Elements.