Inner Quermass

The largest area of intersection of a solid body by a plane parallel to a given plane, also called the "HA measurement."

See also

Brightness, Cross Section, Shadow, Stereology

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Bonnesen, T. "Om Minkowski's uligheder fur konvexer legemer." Mat. Tidsskr. B, 80, 1926.Bonnesen, R. and Fenchel, W. Theorie der Konvexer Körper. New York: Chelsea, p. 140, 1971.Croft, H. T.; Falconer, K. J.; and Guy, R. K. "What Can You Tell About a Convex Body from its Section." §A11 in Unsolved Problems in Geometry. New York: Springer-Verlag, pp. 24-25, 1991.Klee, V. "Is a Body Spherical if All its HA Measurements are Constant?" Amer. Math. Monthly 76, 539-542, 1969.Zaks, J. "Nonspherical Bodies with Constant HA Measurements Exist." Amer. Math. Monthly 78, 513-516, 1971.

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Inner Quermass

Cite this as:

Weisstein, Eric W. "Inner Quermass." From MathWorld--A Wolfram Web Resource.

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