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Homeoid


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

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Cite this as:

Weisstein, Eric W. "Homeoid." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Homeoid.html

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