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ECKHOFF, Jürgen
1993.
Handbook of Convex Geometry.
p.
389.
Published online by Cambridge University Press: 09 April 2009
Generalizations are proved for theorems of Carathéodory (1907), Kirchberger (1903) and Watson (1973), the theme of these results being how thickly the convex hull of a family of points is covered by simplexes whose vertices are chosen from the points of the family.
Subject classification (Amer. Math. Soc. (MOS) 1970): 52A35.