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IEVref:102-05-06ID:
Language:enStatus: 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 radius

Note 1 to entry: For a surface defined by r = f(u, v) where (u,v)U R 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaacIcacaWG1bGaai ilaiaadAhacaGGPaGaeyicI4CcLbuacaqGvbGccqGHgksZieqacaWF sbWaaWbaaSqabeaajugabiaabkdaaaaaaa@440F@ , the scalar surface element is given by

| f u f v |dudv MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaaemaabaWaaSaaae aacqGHciITcaWHMbaabaGaeyOaIyRaamyDaaaacqGHxdaTdaWcaaqa aiabgkGi2kaahAgaaeaacqGHciITcaWG2baaaaGaay5bSlaawIa7ai abgwSixlGacsgacaWG1bGaciizaiaadAhaaaa@4A27@ .

Note 2 to entry: For a surface defined by the equation z = f(x, y), the scalar surface element is given by

1+ ( f x ) 2 + ( f y ) 2 dxdy MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaakaaabaGaaGymai abgUcaRmaabmaabaWaaSaaaeaacqGHciITcaWGMbaabaGaeyOaIyRa amiEaaaaaiaawIcacaGLPaaadaahaaWcbeqaaiaaikdaaaGccqGHRa WkdaqadaqaamaalaaabaGaeyOaIyRaamOzaaqaaiabgkGi2kaadMha aaaacaGLOaGaayzkaaWaaWbaaSqabeaacaaIYaaaaaqabaGcciGGKb GaamiEaiGacsgacaWG5baaaa@4A2F@ .


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:
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