On Two Problems of Convex Geometry
Matematičeskie trudy, Tome 2 (1999) no. 2, pp. 107-113.

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In this article, two problems are considered which were posed by E. Heil. The first problem is devoted to finding the minimal volume of the convex hull of some segments in a space of the corresponding dimension. The second problem concerns some sufficient conditions for constancy of the width of a convex body in a Euclidean space.
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Yu. G. Nikonorov. On Two Problems of Convex Geometry. Matematičeskie trudy, Tome 2 (1999) no. 2, pp. 107-113. http://geodesic.mathdoc.fr/item/MT_1999_2_2_a5/