Parametric Curve

Definition

A parametric curve is a set of equations that describe the coordinates of points on a curve in terms of one or more parameters. These equations allow us to represent curves that cannot be easily expressed as functions.

Analogy

Imagine you are driving a car and your position is described by two parameters - time and distance traveled. The parametric equations would give you the x-coordinate and y-coordinate of your position at any given time and distance, allowing you to trace out a path on a map.

Related terms

Parameter: A parameter is an independent variable used in parametric equations to describe the coordinates of points on a curve.

Parametric Equations: Parametric equations are mathematical expressions that define the relationship between the parameters and the coordinates of points on a curve.

Parametric Representation: Parametric representation refers to expressing curves using parametric equations instead of traditional function notation.