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Proposition: Prop. 10.105: Straight Line Commensurable with Minor Straight Line

(Proposition 105 from Book 10 of Euclid's “Elements”)

A (straight line) commensurable (in length) with a minor (straight line) is a minor (straight line).

• For let $AB$ be a minor (straight line), and (let) $CD$ (be) commensurable (in length) with $AB$.
• I say that $CD$ is also a minor (straight line).

Modern Formulation

(not yet contributed)

Table of Contents

Proofs: 1

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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