IEVref: 102-04-34 ID: Language: en Status: Standard Term: tangent plane Synonym1: Synonym2: Synonym3: Symbol: 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 pointNote 1 to entry: For a surface defined by $r=f\left(u,\text{\hspace{0.17em}}v\right)$, where $\left(u,v\right)\in \text{U}\subseteq {R}^{\text{2}}$, the tangent plane at point r(u0, v0) is defined by the vectors ${\left(\frac{\partial f}{\partial u}\right)}_{\begin{array}{l}u={u}_{0}\\ v={v}_{0}\end{array}}$ and ${\left(\frac{\partial f}{\partial v}\right)}_{\begin{array}{c}u={u}_{0}\\ v={v}_{0}\end{array}}$ if they are linearly independent. Publication date: 2008-08 Source: Replaces: Internal notes: 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: