Proposition: Prop. 10.075: Second Apotome of Medial is Irrational
(Proposition 75 from Book 10 of Euclid's “Elements”)
A second apotome of a medial (straight line) is a straight line whose length is expressible as
where $\alpha$ and $\beta$ are positive rational numbers. See also [Prop. 10.38].
Table of Contents
Proofs: 1 2 3 4
Propositions: 5 6
Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BY-SA 3.0 Sources:
- Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016