Evolute of an ellipse

The figure shows the evolute (red) of an ellips (green). The evolute is called an astroid. The normals (black) of the ellipse are tangents of the evolute. The four cusps of the evolute correspond to the vertices of the ellipse.


Johannes Kepler University Linz, Institute for Applied Geometry, Altenberger Str.69, Austria-4040 Linz