COURBE DE LISSAJOUS PDF
Classification par l’équation cartésienne explicite en y (courbes algébriques): . LISSAJOUS (COURBE OU FIGURE DE/) · LISSE (COURBE/) · LITUUS. équerre f LISP abbr (list processing language) COMP langage de traitement de listes m Lissajous: – figures npl PHYS courbes de Lissajous f pl list’ n COMP.
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This page was last edited on 4 Marchat Rational ratios produce closed connected or “still” figures, while irrational ratios produce figures that appear to rotate. Retrieved from ” https: An octopus circuit can be used to demonstrate the waveform images on an oscilloscope. Please help to improve this article by introducing more precise citations. This article includes a list of referencesbut its sources remain unclear because it has insufficient inline citations.
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.
Views Read Edit View history. I created it with the following GNUplo. From Wikimedia Commons, the free media repository.
Views View Edit History. Prior to modern electronic equipment, Lissajous curves could be generated mechanically by means of a harmonograph. On larger, more sophisticated audio mixing consoles an oscilloscope may be built-in for this purpose. This family of curves was investigated by Nathaniel Bowditch inand later in more detail by Jules Antoine Lissajous in In a sequence towards the end of an episode of Columbo entitled “Make me a Perfect Murder”, the detective sits watching Lissajous curves displayed to music on monitors in xe TV outside broadcast van.
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In the professional audio world, this method is used for realtime analysis of the phase relationship between the left and right channels of a stereo audio signal. The figure below summarizes lissaous the Lissajous figure changes over different phase shifts.
This page was last edited on 24 Octoberat Lissajous curves can also be generated using an oscilloscope as illustrated. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong. Unsourced material may be challenged and removed. The arrows show the direction of rotation of the Lissajous figure.
I, the copyright holder of this work, hereby publish it under the following licenses:. When the input to an LTI system is sinusoidal, the output is sinusoidal with the same frequency, but it may have a different amplitude and some phase shift.
Lissajous figures are sometimes used in graphic design as logos. Articles needing additional references from November All articles needing additional references All articles with unsourced statements Articles with unsourced statements from September Articles lacking in-text citations from November All articles lacking in-text citations Commons category link is on Wikidata Wikipedia articles with NDL identifiers Articles containing video clips.
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A Lissajous curve is used in experimental tests to determine if a device may be properly categorized as a memristor. The visual form of these curves is often suggestive of a three-dimensional knotand indeed many kinds of knots, including those known as Lissajous knotsproject to the plane as Lissajous figures. I created it with the following GNUplot code:.
This licensing tag was added to this file as part of the GFDL licensing update. The beam in ,issajous versions traces out a lopsided figure-8 pattern on its side.
A Lissajous curve, that can be expressed in parametric form as: Retrieved from ” https: Summary [ edit lisssjous Description Lissajous curve 1by2. Gnuplot diagrams Lissajous curves. This W3C- unspecified plot was created with Gnu plot.
The following other wikis use this file: Description Lissajous curve 1by2. Not to be confused with spirographswhich are generally enclosed by a circular boundary, whereas Lissajous curves are enclosed by rectangular boundaries. I created it with the following GNUplot code: Width Height The following 2 pages uses this file: November Learn how and cohrbe to remove this template message.
File:Lissajous curve 1by2.svg
Lissajous figures were sometimes displayed on oscilloscopes meant to simulate high-tech equipment in science-fiction TV shows and movies in the s and s. From Wikipedia, the free encyclopedia. Retrieved 17 September