 Plane curve

A plane curve is a curve contained in a plane. In algebraic geometry, one studies plane curves defined by polynomial equations. General plane curves, such as an Archimedean spiral, need not be algebraic curves.

A **plane curve** is a curve that lies entirely within a single plane. In mathematical terms, a plane curve can be described using a set of parametric equations, a single equation in two variables (typically \(x\) and \(y\)), or in polar coordinates.