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Fregier Ellipses by Laurain, Dominique is a scholarly article available to read on EtoBox.

What is Fregier Ellipses about?

We introduce Fregier ellipses which generalize the Fregier point in euclidean geometry. Subject is related to Dynamical Systems and Poncelet's closure theorem aka Poncelet porism and displaying geometric invariants (area,angles). Special angles pi/3 and 2pi/3 are emphasized and we show that we have invariant sum of areas for Fregier circles in general Poncelet configuration, occuring from an affine map of the elliptical billiard.

Author

Laurain, Dominique

Published

2022

Language

EN