From:           jgk@osc.COM (Joe Keane)
Newsgroups:     sci.math
Subject:        Fagnano's theorem
Summary:        Geometry is neat.
Keywords:       constructible
Date:           28 Apr 93 04:41:56 GMT
Organization:   Versant Object Technology

Here is Fagnano's theorem:

Suppose P and Q are points on a quadrant AB of an ellipse, and the normals at
P and Q are the same distance from the center of the ellipse.  Then the
difference in length of the arcs AP and BQ is also that distance.

What is unusual about this, from the point of view of a classical geometer?

Joe Keane, amateur mathematician (uunet!amdcad!osc!jgk)