The largest area of intersection of a solid body by a plane parallel to a given plane, also called the "HA measurement."
Inner Quermass
See also
Brightness, Cross Section, Shadow, StereologyExplore with Wolfram|Alpha
References
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.Referenced on Wolfram|Alpha
Inner QuermassCite this as:
Weisstein, Eric W. "Inner Quermass." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InnerQuermass.html