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A Generalization in Space of Jung's Theorem

Florentin Smarandache

math.GMarXiv:math/0610530

Abstract

Let's have n points in the space such that the maximum distance between any of them is a. We prove that there exists a sphere of radius r ≤ a (6)4 that contains in its interior or on its surface all these points. [This is a generalization of Jung's theorem that he designed for a plane.]

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