A

plane algebraic curve is the zero

locus in

**R**^{2} or

**C**^{2} of a

polynomial in two
variables

*f(x,y)*.
(Or more generally in

algebraic geometry one
can work over any

field).

For example the unit circle is the zero locus of the polynomial
*x*^{2} + y^{2} -1.

Here are some interesting curves.

I'll slowly work through and node these. If you have one to
add to the list /msg me.
If you feel competent and you want to node something on the list feel free,
but please let me
know to avoid duplication of effort. A good writeup should include some
historical background and the equation of the curve.