Corollary: Cor. 10.114: Rectangles With Irrational Sides Can Have Rational Areas

(related to Proposition: Prop. 10.114: Area contained by Apotome and Binomial Straight Line Commensurable with Terms of Apotome and in same Ratio)

(Corollary to Proposition 114 from Book 10 of Euclid's “Elements”)

And it has also been made clear to us, through this, that it is possible for a rational area to be contained by irrational straight lines (Which is) the very thing it was required to show.

Modern Formulation

(not yet contributed)

Proofs: 1

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Adapted from (subject to copyright, with kind permission)

  1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"