◀ ▲ ▶Branches / Geometry / Elements-euclid / Book-10-incommensurable-magnitudes / Proposition: Prop. 10.104: Straight Line Commensurable with Apotome of Medial Straight Line

Proposition: Prop. 10.104: Straight Line Commensurable with Apotome of Medial Straight Line

Euclid's Formulation

A (straight line) "commensurable (in length) > A (straight line) commensurable (in length) with an apotome of a medial (straight line) is an apotome of a medial (straight line), and (is) the same in order¹.

• Let $AB$ be an apotome of a medial (straight line), and let $CD$ be commensurable in length with $AB$.
• I say that $CD$ is also an apotome of a medial (straight line), and (is) the same in order as $AB$.

Modern Formulation

(not yet contributed)

Table of Contents

Proofs: 1

Mentioned in:

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

Footnotes