Proposition: 4.13: Inscribing Circle in Regular Pentagon

Euclid's Formulation

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

fig13e

Modern Formulation

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

Proofs: 1

Sections: 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