### Ilia Mirkin

Shared publicly -http://www.maa.org/external_archive/joma/Volume8/Kalman/index.html

Still haven't worked through the proof, but the gist of the theorem is that if you have a cubic polynomial, and you form a triangle out of its complex roots on the complex plane, then if you take the maximal ellipse inscribed in that triangle, then its foci are the roots of the derivative of the cubic. Crazy! This links algebra, geometry, and calculus.

Still haven't worked through the proof, but the gist of the theorem is that if you have a cubic polynomial, and you form a triangle out of its complex roots on the complex plane, then if you take the maximal ellipse inscribed in that triangle, then its foci are the roots of the derivative of the cubic. Crazy! This links algebra, geometry, and calculus.

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