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Proposition: 4.16: Inscribing Regular Pentakaidecagon in Circle

Euclid's Formulation

To inscribe an equilateral and equiangular fifteen-sided figure in a given circle.

• Let $ABCD$ be the given circle.
• So it is required to inscribe an equilateral and equiangular fifteen-sided figure in circle $ABCD$.

Modern Formulation

It is possible to inscribe a regular pentakaidecagon (regular $15$-sided figure) in a given circle.

Table of Contents

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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