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Parametric equations are a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. For example
In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters. Parametric equations are commonly used to express the coordinates of the points that make up a geometric object such as a curve or surface, in which case the equations are See more
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Here are some special cases: Parabola y 2 = 4 a x: y^2=4ax: y2 = 4ax: ( x, y) β¦ ( a t 2, 2 a t) (x,y) \mapsto (at^2, 2at) (x,y) β¦ (at2,2at) Equation Ellipse (possibly a circle) x 2 a 2 + y 2 b 2 = 1: \frac {x^2} {a^2}+\frac {y^2} {b^2}=1: a2x2 β + b2y2 β
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Definition: Parametric Equations. If x and y are continuous functions of t on an interval I, then the equations. x = x(t) and. y = y(t) are called parametric equations and t is
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