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Parametric equation
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=== Lissajous curve === [[File:Lissajous curve 3by2.svg|thumbnail|A Lissajous curve where {{math|1=''k{{sub|x}}'' = 3}} and {{math|1=''k{{sub|y}}'' = 2}}.]] A [[Lissajous curve]] is similar to an ellipse, but the {{mvar|x}} and {{mvar|y}} [[sinusoid]]s are not in phase. In canonical position, a Lissajous curve is given by <math display="block">\begin{align} x &= a\,\cos(k_xt) \\ y &= b\,\sin(k_yt) \end{align}</math> where {{mvar|k{{sub|x}}}} and {{mvar|k{{sub|y}}}} are constants describing the number of lobes of the figure.
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