parametric curve
Quick Summary
A parametric equation uses an independent variable, called a parameter (often t), to define dependent variables as functions. Instead of a direct relationship like y = x2, parametric equations express coordinates as functions of the parameter, such as x = t and y = t2. This method, known as parameterization, simplifies differentiation and integration of curves.12
Parametric equations can describe complex curves, including those that cross themselves, and are useful in three or more dimensions. For example, a circle, which is difficult to represent with a single Cartesian equation, can be fully plotted using parametric equations: x = r cos t and y = r sin t.1
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