Proposition: Prop. 10.115: From Medial Straight Line arises Infinite Number of Irrational Straight Lines
(Proposition 115 from Book 10 of Euclid's “Elements”)
An infinite (series) of irrational (straight lines) can be created from a medial (straight line), and none of them is the same as any of the preceding (straight lines).
* Let $A$ be a medial (straight line).
* I say that an infinite (series) of irrational (straight lines) can be created from $A$, and that none of them is the same as any of the preceding (straight lines).
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