This is a gallery of curves used in mathematics, by Wikipedia page. See also list of curves.
Algebraic curves
Rational curves
Degree 1
Degree 2
Degree 3
Degree 4
Degree 5
Degree 6
Families of variable degree
Curves of genus one
Curves with genus greater than one
Curve families with variable genus
Transcendental curves
Spirals
Piecewise constructions
Fractal curves
External links Visual Dictionary of Special Plane Curves