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Parameterization of Sum of Squares

  1. Jun 4, 2015 #1
    I've seen the parameterization of a^2+b^2=c^2 and also a^2+b^2=c^2+d^2, but I don't know how they arrived at those parameterizations. Would it be possible to parameterize something with two equalities like a^2+b^2=c^2+d^2=e^2+f^2? Any help is appreciated!
     
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  3. Jun 5, 2015 #2

    Orodruin

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    Yes, the idea is the same as for the others. Just add another angle.
     
  4. Jun 5, 2015 #3
    How? Specifically how to do the a^2+b^2=c^2+d^2=e^2+f^2
     
  5. Jun 5, 2015 #4

    Orodruin

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    Start by parametrising the first equality, then the second. How do you parametrise the first?
     
  6. Jun 5, 2015 #5
    I don't know. That's what I'm asking. I just know what the answer ends up benign. Not the steps.
     
  7. Jun 5, 2015 #6

    Orodruin

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    Do you understand why ##a^2 + b^2 = c^2## is parametrised by an angle ##\theta##?
     
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