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On the incenters of triangular orbits in elliptic billiard

We consider 3-periodic orbits in an elliptic billiard. Numerical experiments conducted by Dan Reznik have shown that the locus of the centers of inscribed circles of the corresponding triangles is an ellipse. We prove this fact by the complexification of the problem coupled with the complex law or rfelection.

preprint2013arXivOpen access
Olga Romaskevich
math.DS
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Olga Romaskevich

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