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Proposition: Prop. 10.023: Segment Commensurable with Medial Segment is Medial

(Proposition 23 from Book 10 of Euclid's “Elements”)

A (straight line) commensurable with a medial (straight line) is medial.

• Let $A$ be a medial (straight line), and let $B$ be commensurable with $A$.
• I say that $B$ is also a medial (staight-line).

Modern Formulation

(not yet contributed)

Table of Contents

Proofs: 1 Corollaries: 1

Mentioned in:

Proofs: 1 2 3 4 5 6 7

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References

Adapted from (subject to copyright, with kind permission)

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

Adapted from CC BY-SA 3.0 Sources:

1. Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016