(Universidade Federal de Goiás, 2018-12-20) Garcia, Ronaldo Alves
The geometriclocus defined by the circumcenters associated to 3-periodicorbits of an elliptic billiard is an ellipse. In this work we obtain the explicit equation of this set and also ot is shown that this ellipse is similar tothe inner confocal ellipse of the poncelet pair. This work was inspired by the paper of O. Romaskevich, [11]