Pdf uma abordagem teorica e experimental do oscilador. Lissajous figure, also called bowditch curve, pattern produced by the intersection of two sinusoidal curves the axes of which are at right angles to each other. Lissajous is a complex audiovideo signal generator built in maxmsp and inspired by the work of jules antoine lissajous. Lissajous figures are parametric curves where both xt and yt are sine functions.
Lissajous a simple example of 2d line plot in matlab, and creating a gui without guide. Lissajous entered the ecole normale superieure in 1841 and later became professor of physics at the lycee saintlouis in paris, where he. Liassajou curves are described by the parametric equations below. All structured data from the file and property namespaces is available under the creative commons cc0 license. Figuras curvas lissajous y video en osciloscopio xy. This family of curves was investigated by nathaniel bowditch in 1815, and later in more detail by jules antoine lissajous in 1857. Phy2028 practical electronics ii information lissajous figures 1 lissajous figures introduction lissajous figures displayed on an oscilloscope can be used to give a quick estimate of the relative phase of two signals at the same frequency. In mathematics, a lissajous curve lissajous figure or bowditch curve is the graph of a system of parametric equations. If the ratio of the frequencies is rational, the curve will always eventually close. It explores the field of harmony and disorder and let the user dip into an elegant, dreamlike.
Pdf jules lissajous and his figures semantic scholar. Lissajouslike figures with triangular and square waves scielo. An ebook reader can be a software application for use on a computer such as microsofts free reader application, or a booksized computer this is used solely as a reading device such as nuvomedias rocket ebook. This page was last edited on 29 january 2019, at 03. If it is irrational, the curve will never close and eventually fill a region. The relation of some lissajous curves to chebyshev polynomials is clearer to understand if the lissajous curve. First studied by the american mathematician nathaniel bowditch in 1815, the curves were investigated independently by the french. Named after jules antoine lissajous, a lissajous curve. In orbital mechanics, a lissajous orbit pronounced, named after jules antoine lissajous, is a quasiperiodic orbital trajectory that an object can follow around a lagrangian point of a threebody system without requiring any propulsion. Lyapunov orbits around a lagrangian point are curved paths that lie entirely in the plane of the two primary bodies. Files are available under licenses specified on their description page. Jul es antoine lissajous 18221880 is not among the giants in the history of science, yet his name is known to physics students through the lissajous figures patterns formed when two vibrations along perpendicular lines are superimposed.
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