This wiki page you cited has a formula for a general curve, and several more for specific types of curves. Isn't one of these what you're looking for?
For most of the formulas on the page you linked to, you need to do a parametric plot. For example, to plot ##x(t) = t + \sin(t), y(t) = 3 + \cos(t)## on the interval ##[0, 2\pi]##, you can do this in WolframAlpha:possibly. that's why I posted in the math forum. I can't decipher from that what I would need to plot. Thanks