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Jules Antoine Lissajous Jules Antoine Lissajous (; 4 March 1822 in Versailles – 24 June 1880 in Plombières-les-Dijon) was a French physicist, after whom Lissajous figures are named. Among other innovations, Lissajous invented the Lissajous apparatus, a device that cr ...
(1822–1880), French mathematician **
Lissajous curve A Lissajous curve , also known as Lissajous figure or Bowditch curve , is the graph of a system of parametric equations : x=A\sin(at+\delta),\quad y=B\sin(bt), which describe the superposition of two perpendicular oscillations in x and y dire ...
(or figure, or spiral), a mathematical figure showing a type of harmonic motion **
Lissajous knot In knot theory, a Lissajous knot is a knot defined by parametric equations of the form :x = \cos(n_x t + \phi_x),\qquad y = \cos(n_y t + \phi_y), \qquad z = \cos(n_z t + \phi_z), where n_x, n_y, and n_z are integers and the phase shifts \phi_ ...
, in knot theory **
Lissajous orbit In orbital mechanics, a Lissajous orbit (), named after Jules Antoine Lissajous, is a quasi-periodic orbital trajectory that an object can follow around a Lagrangian point of a three-body system without requiring any propulsion. Lyapunov orbits ...
, an orbital trajectory resembling a Lissajous curve {{Disambig