[Maxima] Parameterization of implicit equation
adammaj1 at o2.pl
Mon Oct 6 11:16:40 CDT 2008
Bowo Prasetyo pisze:
> Hi all,
> Suppose, I have an implicit equation of Cayley Cubic as below:
> x^2 + y^2 - x^2*z + y^2*z + z^2 - 1 = 0
> How could I rewrite it in parametric equation of x, y and z?
> I have googled around about parameterization and found that there is
> no definitive way to do that, rather it is a trial and error process.
> Could we use Maxima to help doing parameterization?
> Thank you
> ~ bowo ~
If I'm not wrong it is 3D and not closed curve, so it is harder then
parametrisation of 2D closed curve by angle.
What do you think about it :
(%i1) b:x^2 + y^2 - x^2*z + y^2*z + z^2 - 1;
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