MathBin	Parametric Equations	Member

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).

1. Plots Archimedean spiral
2. Plots parametric curve given by two functions x(t), y(t)
3. Plots parametric curve given from a list of special parametric equations

1. Astroid x^2/3 + y^2/3 = 1
2. Bicorn y²(a² - x²) = (x² + 2a y - a²)²
3. Cardioid (x² + y² - 2x)² = 4a²(x² + y²)
4. Cochleoid (x² + y²) tan^-1(^y⁄_x) = a y
5. Circle x² + y² = 1