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?
I am confused myself, so I post the Q.
when we talk about "definite integral of area" in rectangular or polar coordinates, the "area" is quite clear, at least people do it in this way in general:
rectangular coordinate: area between locus y=f(x) and x axis.
polar coordinate: sector area...
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...
I think I have returned all my math back to teachers without any refund.
y=f(x);
h=xb-xa, which is very small.
My Q is to calculate curve length rather than area numerically.
But let me use area as example to show you what i want.
to calculate area between xa to xb, we have 2...