Tangent Cone
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Tangent Cone

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High Quality Content by WIKIPEDIA articles! In geometry, the tangent cone is a generalization of the notion of the tangent space to a manifold to the case of certain spaces with singularities. Let K be a closed convex subset of a real vector space V and K be the boundary of K. The solid tangent cone to K at a point x K is the closure of the cone formed by all half-lines (or rays) emanating from x and intersecting K in at least one point y distinct from x. It is a convex cone in V and can also be defined as the intersection of the closed half-spaces of V containing K and bounded by the supporti...