Proposition: Prop. 10.106: Straight Line Commensurable with that which produces Medial Whole with Rational Area
(Proposition 106 from Book 10 of Euclid's “Elements”)
A (straight line) commensurable (in length) with a (straight line) which with a rational (area) makes a medial whole is a (straight line) which with a rational (area) makes a medial whole.
* Let $AB$ be a (straight line) which with a rational (area) makes a medial whole, and (let) $CD$ (be) commensurable (in length) with $AB$.
* I say that $CD$ is also a (straight line) which with a rational (area) makes a medial (whole).
Modern Formulation
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Table of Contents
Proofs: 1
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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