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Proposition: 4.03: Circumscribing about Circle Triangle Equiangular with Given Angles

(Proposition 3 from Book 4 of Euclid's “Elements”)

To circumscribe a triangle, equiangular with a given triangle, about a given circle.

• Let $ABC$ be the given circle, and $DEF$ the given triangle.
• So it is required to circumscribe a triangle, equiangular with triangle $DEF$, about circle $ABC$.

Modern Formulation

It is possible to circumscribe a triangle with a given angles, about a given circle.

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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