◀ ▲ ▶Branches / Geometry / Elements-euclid / Book-10-incommensurable-magnitudes / Proposition: Prop. 10.092: Side of Area Contained by Rational Straight Line and Second Apotome

Proposition: Prop. 10.092: Side of Area Contained by Rational Straight Line and Second Apotome

(Proposition 92 from Book 10 of Euclid's “Elements”)

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

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

Modern Formulation

(not yet contributed)

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1

Thank you to the contributors under CC BY-SA 4.0!

Github:

non-Github:

@Fitzpatrick

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