Proposition: Prop. 10.095: Side of Area Contained by Rational Straight Line and Fifth Apotome
(Proposition 95 from Book 10 of Euclid's “Elements”)
If an area is contained by a rational (straight line) and a fifth apotome then the square root of the area is that (straight line) which with a rational (area) makes a medial whole.
* For let the area $AB$ have been contained by the rational (straight line) $AC$ and the fifth apotome $AD$.
* I say that the square root of area $AB$ is that (straight line) which with a rational (area) makes a medial whole.
Modern Formulation
(not yet contributed)
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1
Thank you to the contributors under CC BYSA 4.0!
 Github:

 nonGithub:
 @Fitzpatrick
References
Adapted from (subject to copyright, with kind permission)
 Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BYSA 3.0 Sources:
 Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016