View source for Convex cone

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A [[convex body]] $V$ consisting of [[Half-line (ray)|half-lines]] issuing from one point — the apex of the [[cone]]. The case when $V$ is identical with the entire space is excluded from this definition. The concept of a convex cone includes that of a [[dihedral angle]] and a half-space as special cases. A convex cone is sometimes meant to be the surface of a convex cone.