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, 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 mathematician Jules-Antoine Lissajous in 1857–58.

5 days ago · 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.

Lissajous may refer to Jules Antoine Lissajous (1822–1880), French mathematician Lissajous curve (or figure, or spiral), a mathematical figure showing a type of harmonic motion; Lissajous knot, in knot theory; Lissajous orbit, an orbital trajectory resembling a Lissajous curve

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 (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 …

Lissajous figures are built from parametric equations. They can be seen on oscilloscopes when 2 signals are mixed. See the beauty of math in curves.

The Lissajous curves are the trajectories of a point the components of which have a sinusoidal movement. 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 :

May 18, 2021 · A Lissajous (liss-AH-jou) figure or graph is defined by a pair of parametric equations (with the parameter being “t” usually representing time). These two equations define the plotted position on the X (horizontal) axis and Y (vertical) axis:

Sep 28, 2007 · Lissajous figures are parametric curves where both x(t) and y(t) are sine functions. If the ratio of the frequencies is rational, the curve will always eventually close. If it is irrational, the curve will never close and eventually fill a region.