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A shell bounded by two similar Ellipsoids having a constant ratio of axes. Given a Chord passing through a homeoid, the distance between inner and outer intersections is equal on both sides. Since a spherical shell is a symmetric case of a homeoid, this theorem is also true for spherical shells (Concentric Circles in the Plane), for which it is easily proved by symmetry arguments.

See also Chord, Ellipsoid

© 1996-9 Eric W. Weisstein