| Definition: | at a point of a surface, plane, if it exists, which contains all the tangents at this point to the curves of the surface passing through the point Note 1 to entry: For a surface defined by r=f(u, v), where (u,v)∈U⊆R2, the tangent plane at point r(u0, v0) is defined by the vectors (∂f∂u)u=u0v=v0 and (∂f∂v)u=u0v=v0 if they are linearly independent.
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