◀ ▲ ▶Branches / Geometry / Elements-euclid / Book--4-inscription-and-circumscription / Proposition: 4.15: Side of Hexagon Inscribed in a Circle Equals the Radius of that Circle

Proposition: 4.15: Side of Hexagon Inscribed in a Circle Equals the Radius of that Circle

Euclid's Formulation

To inscribe an equilateral and equiangular hexagon in a given circle.

• Let $ABCDEF$ be the given circle.
• So it is required to inscribe an equilateral and equiangular hexagon in circle $ABCDEF$.

Modern Formulation

It is possible to inscribe a regular hexagon in a given circle.

Table of Contents

Proofs: 1 Corollaries: 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