Centroid of intersections between algebraic plane curve and circle is independent of circle radius

[@TimeGateMoments]

This is different. Excellent 👌.
We have a question.

[@chirbirbek9207]

Very nice observation. Does this follow from the Vieta's theorem as we vary only the constant term, or is the proof more complicated?

[@dreznik]

Yes... It's Viète. Working on it.