◀ ▲ ▶Branches / Geometry / Elements-euclid / Book--4-inscription-and-circumscription / Proposition: 4.13: Inscribing Circle in Regular Pentagon

Proposition: 4.13: Inscribing Circle in Regular Pentagon

Euclid's Formulation

To inscribe a circle in a given pentagon, which is equilateral and equiangular.

• Let $ABCDE$ be the given equilateral and equiangular pentagon.
• So it is required to inscribe a circle in pentagon $ABCDE$.

Modern Formulation

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

Table of Contents

Proofs: 1

Mentioned in:

Sections: 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