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Associated with each bounded convex set K in n -dimensional euclidean space E n is a point s(K) known as its Steiner point. First considered by Steiner in 1840 (6, p. 99) in connection with an extremal problem for convex regions, this point has been found useful in some recent investigations (for example, 4) because of the linearity property 1 Addition on the left is vector addition of convex sets.
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G. C. Shephard (1966) studied this question.
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