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Hyperbolic coordinate system

  1. Sep 15, 2015 #1
    This system of coordinates:


    can be "translated" in terms of x and y, so:
    [tex]x = \sqrt{\frac{\sqrt{u^2+v^2}+u}{2}}[/tex]
    [tex]y = \sqrt{\frac{\sqrt{u^2+v^2}-u}{2}}[/tex]
    Exist another form more simplified of write x and y in terms of u and v? I tried rewrite these expressions using the fórmulas of half angle but didn't worked...
  2. jcsd
  3. Sep 16, 2015 #2


    Staff: Mentor

    What about squaring each equation?
    After you do that, maybe an idea will come to you.
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