The centre of the mass, distributed over the surface of a convex body, with density equal to the Gaussian curvature. For a non-smooth body it is defined by mixed volumes (see Mixed-volume theory). The Steiner point is additive with respect to the addition of bodies. The centre of a mass, distributed over a contour of variable curvature in the plane, was first studied by J. Steiner in 1840.
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Steiner point. V.A. Zalgaller (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Steiner_point&oldid=11850