- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:16
L’Enseignement Mathématique
Enseign. Math.
LEM
0013-8584
2309-4672
General
10.4171/LEM
http://www.ems-ph.org/doi/10.4171/LEM
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© Fondation L’Enseignement Mathématique
60
2014
3
On the incenters of triangular orbits on elliptic billiards
Olga
Romaskevich
École Normale Supérieure de Lyon, LYON CEDEX 07, FRANCE
Elliptic billiards, Poncelet theorem, periodic orbits
We consider 3-periodic orbits in an elliptic billiard. Numerical experiments conducted by Dan Reznik have suggested 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 of reflection.
Dynamical systems and ergodic theory
Algebraic geometry
247
255
10.4171/LEM/60-3/4-2
http://www.ems-ph.org/doi/10.4171/LEM/60-3/4-2