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Lissajous figures pdf

          Lissajous figures frequency ratio

        1. Lissajous figures frequency ratio
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        3. Lissajous figures equations
        4. Lissajous curve desmos
        5. Lissajous figures phase difference
        6. Lissajous figures equations!


          Quick Info

          Born
          4 March 1822
          Versailles, France
          Died
          24 June 1880
          Plombières, France

          Summary
          Jules Lissajous was a French mathematician best known for the Lissajous figures produced from a pair of sine waves.


          Biography

          Jules Lissajous entered the École Normale Supérieure in 1841.

          In 1847 he became professor of mathematics at the Lycée Saint-Louis, holding this position until 1874. He was awarded a doctorate in 1850 for a thesis on vibrating bars using Chladni's sand pattern method to determine nodal positions.

          3d lissajous curve

          In 1874 Lissajous became rector of the Academy at Chambéry, then in the following year he was appointed rector of the Academy at Besançon.

          Lissajous was interested in waves and developed an optical method for studying vibrations.

          He wanted to be able to see the waves that were created by vibrations, usually expressed in the form of sound. At first he studied waves produced by a tuning fork in contact with water, studying the ripples that were caus