Abstract
The distributions of ray and secant lengths through arbitrary convex bodies for five different randomness measures has previously been obtained. This article concentrates on the ray and secant moment relationships that exist among these various measures. In particular various moments depend only on the volume and surface concent of the n-dimensional convex body. Specific moment relationships have been obtained for regular convex bodies which include all n-dimensional regular polyhedra. The result will be illustrated by applications.
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