Euclidean geometry | Geometric inequalities | Theorems in geometry | Metric geometry

Jung's theorem

In geometry, Jung's theorem is an inequality between the diameter of a set of points in any Euclidean space and the radius of the minimum enclosing ball of that set. It is named after Heinrich Jung, who first studied this inequality in 1901. Algorithms also exist to solve the smallest-circle problem explicitly. (Wikipedia).

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Injective metric space | Metric space | Intersection (set theory) | Distance | Smallest-circle problem | Equilateral triangle | Empty set | Simplex | Taxicab geometry | Bounded set | Euclidean plane | Euclidean space | Non-Euclidean geometry | Radius | Diameter | Inequality (mathematics) | Geometry | Circle | Triangle inequality