12. Planar sections of convex bodies
12.1 Barbier and Minkowski formulas
Theorem (formulas of Barbier, 1860 and Minkowski, 1903 for sectional areas). The average area of an infinitesimal planar section of an isolated three-dimensional convex body in Euclidean space is expressed by the following formula (p. 81 of
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Planar sections of convex bodies
Contiguity of bodies in dimension 3
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