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Equichordal Point

A point $P$ for which all the Chords passing through $P$ are of the same length. It satisfies

px+py={\rm [const]},

where $p$ is the Chord length. It is an open question whether a plane convex region can have two equichordal points.

See also Equichordal Problem, Equiproduct Point, Equireciprocal Point

© 1996-9 Eric W. Weisstein