When a ball bounces back on the border of a billiard table, its trajectories before and after the impact are in symmetry with respect to the normal line of the border.
If, instead of a rectangular form, the billiard table is bounded by a curve, the successive bouncings of the ball are often much more complicated, as the trajectory of the ball depends heavily on the point of the impact. This is exactly the case for Elliptic billiards, where the table is circular or elliptic. To play it, you have only to click on the billiard table.
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Description: bouncing on a billiard table of elliptic form. interactive exercises, online calculators and plotters, mathematical recreation and games
Keywords: interactive mathematics, interactive math, server side interactivity, geometry, symmetry, tangent, ellipse