JUNG'S THEOREM (IN PLANE) GENERALIZED IN SPACE BY SMARANDACHE



Let's have n points in the space such that the maximum distance between any two of them is d. Then: there exists a sphere of radius

            

which contains in interior or on surface all these points.

References:
[1] Smarandache, F., "A Generalization in Space of Jumg's Theorem", Gazeta Matematica, Bucharest, Nr. 9-10-11-12, 1992, p. 352.
[2] Smarandache, F., Collected Papers, Vol. I, Tempus Publ. Hse., article: "A Generalization in Space of Jung's Theorem", pp. 223-224.