Lissajous curves are the family of curves described by the parametric equations. They are sometimes known as Bowditch curves after Nathaniel Bowditch, who studied them in Lissajous curves have applications in physics, astronomy, and other sciences. The curves close iff is rational.

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From Wikimedia Commons, the free media repository. Deutsch : Kategorie: Lissajous-Figuren. English : Category: Lissajous curves. Nederlands : Categorie: Lissajousfiguren. Jules Antoine Lissajous.

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## Category:Lissajous curves

See also: courbe de niveau , courber , coure , cour. Gauss curve. To add entries to your own vocabulary , become a member of Reverso community or login if you are already a member. It's easy and only takes a few seconds:. Or sign up in the traditional way. Cet exemple trace une courbe de Lissajous.

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## Lissajous Curve

This family of curves was investigated by Nathaniel Bowditch in , and later in more detail by Jules Antoine Lissajous in The visual form of these curves is often suggestive of a three-dimensional knot , and indeed many kinds of knots, including those known as Lissajous knots , project to the plane as Lissajous figures. Rational ratios produce closed connected or "still" figures, while irrational ratios produce figures that appear to rotate. The relation of some Lissajous curves to Chebyshev polynomials is clearer to understand if the Lissajous curve which generates each of them is expressed using cosine functions rather than sine functions. Prior to modern electronic equipment, Lissajous curves could be generated mechanically by means of a harmonograph. Lissajous curves can also be generated using an oscilloscope as illustrated.