Geodesic
On Two Problems of Convex Geometry
Matematičeskie trudy, Tome 2 (1999) no. 2, pp. 107-113 
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/
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     author = {Yu. G. Nikonorov},
     title = {On {Two} {Problems} of {Convex} {Geometry}},
     journal = {Matemati\v{c}eskie trudy},
     pages = {107--113},
     year = {1999},
     volume = {2},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_1999_2_2_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.