◀ ▲ ▶Branches / Geometry / Elements-euclid / Book-10-incommensurable-magnitudes / Proposition: Prop. 10.093: Side of Area Contained by Rational Straight Line and Third Apotome

Proposition: Prop. 10.093: Side of Area Contained by Rational Straight Line and Third Apotome

(Proposition 93 from Book 10 of Euclid's “Elements”)

If an area is contained by a rational (straight line) and a third apotome then the square root of the area is a second apotome of a medial (straight line).

• For let the area $AB$ have been contained by the rational (straight line) $AC$ and the third apotome $AD$.
• I say that the square root of area $AB$ is the second apotome of a medial (straight line).

Modern Formulation

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Table of Contents

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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