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 $ABCDE$.
It is possible to circumscribe a circle about a given regular pentagon.
Table of Contents
Proofs: 1 2
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Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BY-SA 3.0 Sources:
- Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016