# Convex cone

From Encyclopedia of Mathematics

A convex body $V$ consisting of 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.

**How to Cite This Entry:**

Convex cone.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Convex_cone&oldid=38947

This article was adapted from an original article by E.V. Shikin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article