◀ ▲ ▶Branches / Geometry / Elements-euclid / Book--4-inscription-and-circumscription / Proposition: 4.14: Circumscribing Circle about Regular Pentagon

Proposition: 4.14: Circumscribing Circle about Regular Pentagon

(Proposition 14 from Book 4 of Euclid's “Elements”)

To circumscribe a circle about a given pentagon which is equilateral and equiangular.

• Let $ABCDE$ be the given pentagon which is equilateral and equiangular.
• So it is required to circumscribe a circle about the pentagon $ABCDE$.

Modern Formulation

It is possible to circumscribe a circle about a given regular pentagon.

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2
Sections: 3

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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