IEVref: 102-05-06 ID: Language: en Status: Standard Term: scalar surface element Synonym1: Synonym2: Synonym3: Symbol: dA Definition: at a given point of a given surface, area of a surface element containing the point and contained in a sphere of infinitesimal radiusNote 1 to entry: For a surface defined by r = f(u, v) where $\left(u,v\right)\in \text{U}\subseteq {R}^{\text{2}}$, the scalar surface element is given by $|\frac{\partial f}{\partial u}×\frac{\partial f}{\partial v}|\cdot \mathrm{d}u\mathrm{d}v$. Note 2 to entry: For a surface defined by the equation z = f(x, y), the scalar surface element is given by $\sqrt{1+{\left(\frac{\partial f}{\partial x}\right)}^{2}+{\left(\frac{\partial f}{\partial y}\right)}^{2}}\mathrm{d}x\mathrm{d}y$. 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: