Samples of parametric equations

AI Thread Summary
The discussion focuses on the request for well-known parametric equations used in mathematics, physics, or engineering. The user provides the example of an ellipse defined by x=A*cos(t) and y=B*sin(t). They mention discovering several additional examples, including cycloid, epicycloid, hypocycloid, and hypotrochoid, which are all significant in various applications. The user expresses interest in finding more interesting loci for their report. The conversation highlights the importance of utilizing meaningful parametric equations in academic work.
xyz3003
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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.

found so far:

Cycloid
Epicycloid
Hypocycloid
Hypotrochoid
Spirograph
 
Last edited:
Mathematics news on Phys.org
A cycloid is a good example. Look it up.
 
nicktacik,
thanks.
by your clue, i found a set of them:

Cycloid
Epicycloid
Hypocycloid
Hypotrochoid

I add them in my post and will use them soon.

Any other interesting locus?
 

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