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  • Lissajous curve - Wikipedia
    A Lissajous curve ˈlɪsəʒuː , also known as Lissajous figure or Bowditch curve ˈbaʊdɪtʃ , is the graph of a system of parametric equations which describe the superposition of two perpendicular oscillations in x and y directions of different angular frequency (a and b)
  • Lissajous figure | Oscillations, Harmonics, Waveforms | Britannica
    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 First studied by the American mathematician Nathaniel Bowditch in 1815, the curves were investigated independently by the French
  • Lissajous Curve -- from Wolfram MathWorld
    Lissajous curves are the family of curves described by the parametric equations x(t) = Acos(omega_xt-delta_x) (1) y(t) = Bcos(omega_yt-delta_y), (2) sometimes also written in the form x(t) = asin(omegat+delta) (3) y(t) = bsint
  • 7. Lissajous Figures - Interactive Mathematics
    Lissajous Figures are a special case of parametric equations, where x and y are in the following form: [These can also be written in terms of cosine expressions, or a combination of sin and cos, since we can shift sine onto cosine easily See Graphs of y = a sin (bx + c) ]
  • Activity: The Lissajous pattern, A Classic phase measurement - Analog
    Lissajous (pronounced LEE-suh-zhoo) figures were discovered by the French physicist Jules Antoine Lissajous He would use sounds of different frequencies to vibrate a mirror A beam of light reflected from the mirror would trace patterns which depended on the frequencies of the sounds
  • Lissajous Curves | Academo. org - Free, interactive, education.
    An interactive demonstration of Lissajous curves A Lissajous curve, named after Jules Antoine Lissajous is a graph of the following two parametric equations: A and B represent amplitudes in the x and y directions, a and b are constants, and ϕ is an phase angle
  • LISSAJOUS CURVE or BOWDITCH CURVE - MATHCURVE. COM
    The Lissajous curves of parameter n (ratio between the frequencies of the two sinusoidal movements) are the projections on the planes passing by the axis of the cylindric sine waves of parameter n: as well as of the cylindric sine waves of parameter 1 n :
  • Jules Antoine Lissajous - Sound and Science
    Jules Antoine Lissajous was a high-school teacher, then held prestigious administrative posts in the education system of various parts of France He had trained in physics, and defended his dissertation on vibratory phenomena in 1850
  • Jules Lissajous and His Figures - hit. bme. hu
    Antoine Lissajous (1822–1880) is not among the giants in the history of science, yet his name is known to physics stu-dents through the “Lissajous figures”—patterns formed when two vibrations along perpendicular lines are superimposed
  • Lissajous Figures - Kenyon College
    Lissajous Figures Lissajous Figures were first described in 1815 by Nathaniel Bowditch (1773-1838), who is best known today for his book, "The New American Practical Navigator", still available today





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