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

From ProofWiki
Jump to navigation Jump to search


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.

(The Elements: Book $\text{X}$: Proposition $114$ : Porism)


Directly apparent from the construction.


Historical Note

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