MathBin | Parametric Equations | Member |
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A parametric equation defines a group of quantities as functions of one or more independent variables called parameters. Parametric equations usually express the coordinates of the points that make up a geometric object such as a curve (2D) or surface (3D), in which case the equations are collectively called a parametric representation or parameterization of the object. For example, the equations `x` = cos `t` and `y` = sin `t` form a parametric representation of the unit circle, where `t` is the parameter: A point (`x`, `y`) is on the unit circle if and only if there is a value of `t` such that these two equations generate that point. Sometimes the parametric equations for the individual scalar output variables are combined into a single parametric equation in vectors: (`x`, `y`) = (cos `t`, sin `t`).