In geometry, a hyperplane of an n-dimensional space V is a subspace of dimension n &minus; 1, or equivalently, of codimension 1 in V.
If V is a vector space, one distinguishes "vector hyperplanes" (which are linear subspaces, and therefore must pass through the origin) and "affine hyperplanes" (which need not pass through the origin; they can be obtained by translation of a vector hyperplane).