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)
 Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BYSA 3.0 Sources:
 Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016