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George Green's paper

  1. Jul 10, 2012 #1

    In Green's famous paper : "An essay on the Application of mathematical Analysis to the theories of Electricity and Magnetism" - which is freely available online here :

    in article 3, page 16, last paragraph, while deriving his now famous Green's theorem, he gives one particular form for bringing in area element into the triple integral.

    He says : dy dz = -(dx/dw) dq

    where, dq is the area element; dw is the small line perpendicular to the surface

    Can anybody explain how this is got ?
    The minus sign is probably because he is at this stage considering the larger values of 'x' , so that the direction of dw will be in the opposite direction to dx

    Thanks a lot!
  2. jcsd
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