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I'm not sure if it's possible at all, but may be somebody knows the answer..

I have two parametric equations:

x=f(t)

y=g(t)

which describe some curve in XY plane. f(t) and g(t) are rational polynomial functions, i.e. the curve is an algebraic curve. The ezplot function of MATLAB allows to plot parametric curves for some values of parameter. Is it somehow possible to plot parametric curves for some values of x and y? Or we can only first find the plotting intervals of t by solving some inequalities, and then plot f(t) and g(t) on these intervals?

One solution could be implicitize the parametric curve (i.e. make it look like h(x,y)=0, thus eliminating t), but it is not easy to do in general case.

What is the best practical solution to my problem? I think that the problem is quite essential, and I'm not the only one who faces it.

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