Editing Plane curve (section)

==Symbolic representation==
A plane curve can often be represented in [[Cartesian coordinates]] by an [[implicit equation]] of the form <math>f(x,y)=0</math> for some specific function ''f''. If this equation can be solved explicitly for ''y'' or ''x''  – that is, rewritten as <math>y=g(x)</math> or <math>x=h(y)</math> for specific function ''g'' or ''h'' – then this provides an alternative, explicit, form of the representation. A plane curve can also often be represented in Cartesian coordinates by a [[parametric equation]] of the form <math>(x,y)=(x(t), y(t))</math> for specific functions <math>x(t)</math> and <math>y(t).</math>

Plane curves can sometimes also be represented in alternative [[coordinate system]]s, such as [[polar coordinates]] that express the location of each point in terms of an angle and a distance from the origin.