[Maxima] Rational function parametric representations
willisb at unk.edu
Tue Sep 22 11:44:35 CDT 2009
To find a rational function parametric representation of a folium of
there is (the cute trick) of using the substitution y = x * p:
(%i25) [x^3 + y^3 - 3*a*x*y, y = x * p];
What is the generalization of this trick? Sometime ago, I saw an
article on this, but I can't find it. Maybe I gave up to soon, but
a web search on "parametric representation" and "parametric
representation algorithm" didn't locate the paper.
Maple has a function that tries to find these parametric representations,
but the user documentation doesn't give a reference to the algorithm.
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