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Non-linear to linear transformation

  1. Dec 1, 2004 #1
    take a point A(x_1,y_1) on a circe centre B (x_2, y_2) and allow the circle to roll along an X-axis; now we all know that the cycloid equation to point A is highly non-linear; so now if we take the point B, we find the problem has been converted into a linear problem;

    now do this to E-fields and H-fields between charged points; think about it!
     
  2. jcsd
  3. Dec 1, 2004 #2
    so one point is we see a non-linear problem converted into a linear one via our choice of co-ordinates;

    can we apply this knowledge to some of most pressing problems??
     
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