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I need samples of parametric equations:

x=Fx(t);

y=Fy(t);

the samples must be useful or famous in math, physics or engineer, not be created randomly meaningless.

one that I know is to describle ellipse:

x=A*cos(t);

y=B*sin(t);

I need 2 or more good samples for my report.

thanks.

Cycloid

Epicycloid

Hypocycloid

Hypotrochoid

Spirograph

x=Fx(t);

y=Fy(t);

the samples must be useful or famous in math, physics or engineer, not be created randomly meaningless.

one that I know is to describle ellipse:

x=A*cos(t);

y=B*sin(t);

I need 2 or more good samples for my report.

thanks.

**found so far:**Cycloid

Epicycloid

Hypocycloid

Hypotrochoid

Spirograph

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