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Lissajous Jules:     more detail

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1. Kids Ages 13-100 Teachers Parents Store Science Games
is a bit advanced, but you might want to try it!) lissajous (pronounced LEEsuh-zhoo)figures were discovered by the French physicist jules Antoine lissajous.
http://www.coolmath4kids.com/lissajous/

Extractions: by Ed Hobbs To operate: Select the Preset buttons at the left to see sample patterns. To create your own patterns, type in stuff in the spots on the right. Change the settings by clicking on the digits: clicking near the top of a digit increases its value; clicking near the bottom decreases its value. Lissajous Figures 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' setup was similar to the apparatus which is used today to project laser light shows. Before the days of digital frequency meters and phase-locked loops, Lissajous figures were used to determine the frequencies of sounds or radio signals. A signal of known frequency was applied to the horizontal axis of an oscilloscope, and the signal to be measured was applied to the vertical axis. The resulting pattern was a function of the ratio of the two frequencies. Lissajous figures often appeared as props in science fiction movies made during the 1950's. One of the best examples can be found in the opening sequence of The Outer Limits TV series. ("Do not attempt to adjust your picturewe are controlling the transmission.") The pattern of criss-cross lines is actually a Lissajous figure.

2. La Matematica, La Geometria, L'analisi Per Chi Voglia Ripartire Da Zero
lissajous (jules Antoine fisico francese (1822-1880) (curve di ) V-325 V

3. Ein Multimediales Nachschlagewerk - Die Erfinder - L
lissajous, jules-Antoine,1822 bis 1880; Physiker; Lister, Sir Joseph, 1827 bis 1912; Arzt;

Extractions: Hinweis: "Back-Taste" Lagrange, Joseph-Louis, 1736 bis 1813; Mathematiker Lahmeyer, Wilhelm, 1859 bis 1907; Elektrotechniker und Unternehmer Lambert, Jahann Heinrich, 1728 bis 1777; Mathematiker und Physiker Lampadius, Wilhelm August, 1772 bis 1842; Chemiker und Technologe Land , Edwin Herbert, 1909 bis 1991; Physiker (in English!) Landau , Lew Dawidowitsch, 1908 bis 1968; Physiker (in English!) Langen, Eugen, 1833 1895; Techniker Langmuir , Irving, 1881 bis 1957; Physiker und Chemiker (in English!) Laplace, Pierre-Simon, 1749 bis 1827; Mathematiker und Astronom Latour, Charles Cagniard, 1777 bis 1859; Ingenieur und Geograph Laue, Max von, 1879 bis 1960; Physiker Laurent, Auguste, 1807 bis 1853; Chemiker Laval, Carl Gustav de, 1845 bis 1913; Techniker Lavoisier, Antoine-Laurent, 1743 bis 1794; Chemiker Lawrence , Ernest Orlando, 1901 bis 1958; Physiker (in English!) Lear , William P., 1902 bis 1978; Radiotechniker (in English!) Lebedew, Alexander Alexejewitsch, 1893 bis 1969; Chemiker Lebedew, Piotr Nikolajewitsch, 1866 bis 1912;Physiker Lebedew, Sergei Wassiljewitsch, 1874 bis 1934; Chemiker

4. Teen/slant : Opinions And Angst
interact games . lissajous. lissajous (pronounced LEEsuh-zhoo) figureswere discovered by the French physicist jules Antoine lissajous.
http://www.teenslant.com/interact/games/lissajous/

Extractions: interact > games > Lissajous 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' setup was similar to the apparatus which is used today to project laser light shows. Before the days of digital frequency meters and phase-locked loops, Lissajous figures were used to determine the frequencies of sounds or radio signals. A signal of known frequency was applied to the horizontal axis of an oscilloscope, and the signal to be measured was applied to the vertical axis. The resulting pattern was a function of the ratio of the two frequencies. Lissajous figures often appeared as props in science fiction movies made during the 1950's. One of the best examples can be found in the opening sequence of The Outer Limits TV series. ("Do not attempt to adjust your picture we are controlling the transmission.") The pattern of criss-cross lines is actually a Lissajous figure.

5. The Lissajous Curve
curve is sometimes also called the Bowditch curve, after Nathaniel Bowditch,who studied pendulums (among other things), and jules lissajous, a French
http://www.math.hmc.edu/~gu/math142/mellon/curves_and_surfaces/curves/lissajous.

6. Joost Rekveld | Symmetry And Harmonics
The patterns generated by the kaleidophone were described in more detail by themathematician and physicist jules lissajous, later in the nineteenth century.
http://www.xs4all.nl/~rekveld/texts/symhar.html

Extractions: mirror cabinet of Z.Traber, 1675 harmonic images Pure intervals are pure for a physical reason: if the ratio of frequencies of two soundwaves can be described in small numbers, the minima and maxima of these waves overlap nicely. This makes a chord sound at rest. If the ratio of frequencies is more complex, these overlaps form a more complex pattern and the tones do not blend properly or a difference tone appears. Similar phenomena occur if images are generated using vibrations. Several physicists from the 19th century did experiments in this direction. Ernst Chladni wrote his book 'Entdeckungen im Reich des Klanges' in 1787. It is the first general treatise on acoustics. He illustrated it with diagrams of the vibrations of thin metal plates (fig. 2). For these experiments he covered the plates with a thin layer of sand and made them vibrate by striking them with a bow. The vibrations displaced the sand toward the locations on the plate where the waves in the metal formed 'knots'. Chladni analized these sandpatterns, classified them according to shape and tried to understand the relationship with their corresponding pitch. He concluded that a vibrating plate generates a set of tones (fundamental and harmonics) that corresponds with the harmonic series produced by a vibrating string. figure 2: sound figures by Chladni, 1787

7. Cymatics - The Science Of The Future?
(se below right) This after the French mathematician julesAntoine lissajous,who, independently of Bowditch, investigated them in 1857-58.
http://www.mysticalsun.com/cymatics/cymatics.html

Extractions: n 1787, the jurist, musician and physicist Ernst Chladni published or Discoveries Concerning the Theory of Music. With the help of a violin bow which he drew perpendicularly across the edge of flat plates covered with sand, he produced those patterns and shapes which today go by the term Chladni figures. (se left) What was the significance of this discovery? Chladni demonstrated once and for all that sound actually does affect physical matter and that it has the quality of creating geometric patterns. Lissajous Figures In 1815 the American mathematician Nathaniel Bowditch began studying the patterns created by the intersection of two sine curves whose axes are perpendicular to each other, sometimes called Bowditch curves but more often Lissajous figures.

8. Stormsky. Tutorials And News For Director MX, Lingo, Shockwave 3D
They were studied in more detail (independently) by julesAntoine lissajous in 1857.Find out more and discuss this in the Algorithm Forum. By Adam Montandon.
http://www.stormsky.com/content/curves/lisajous.asp

9. ECEN 427 - Assignment 1
What are lissajous Figures? jules Antoine lissajous was a Frenchphysicist who lived from 1822 to 1880. Like many physicists of
http://www.ee.byu.edu/ee/class/ee427/Assignments/Assignment 02.htm

Extractions: ECEN 427 - Assignment 02 The expected outcomes of this assignment are (1) that you will be very familiar with the laboratory equipment, (2) that you will be comfortable with programming in C with inline assembly language statements, and (3) that you will become familiar with basic real-time tasks programmed on the AM186 processor. In this assignment, your primary task is to draw Lissajous figures on the screen of an oscilloscope. You must demonstrate the following: (1) Two algorithms for generating the necessary sinusoidal signals used to synthesize the Lissajous figures. (2) One circle figure and one figure 8. (3) One example of varying phase difference between the two sinusoids that synthesize the Lissajous figure. An extra credit task is to draw the letters which are the first characters of your name on the screen. What are Lissajous Figures? Jules Antoine Lissajous was a French physicist who lived from 1822 to 1880. Like many physicists of his time, Lissajous was interested in being able to see vibrations. He started off standing tuning forks in water and watching the ripple patterns, but his most famous experiments involved tuning forks and mirrors. For example, by attaching a mirror to a tuning fork and shining a light onto it, Lissajous was able to observe, via another couple of mirrors, the reflected light twisting and turning on the screen in time to the vibrations of the tuning fork. When he set up two tuning forks at right angles, with one vibrating at twice the frequency of the other, Lissajous found that the curved lines on the screen would combine to make a figure of eight pattern.

10. Www.dcs.napier.ac.uk/~andrew/lis.txt
French physicist jules A. lissajous (182280) made an extensive studyof these motions, and these figures are therefore named for him.
http://www.dcs.napier.ac.uk/~andrew/lis.txt

Extractions: Lissajous figures are the interesting and often intricate patterns that are traced out when two mutually perpendicular periodic disturbances occur simultaneously. The resultant motion can be represented by a repetitive pattern on the plane containing the two perpendicular directions. The figures depend on the ratio of the frequencies of the disturbances and the phase difference between them. French physicist Jules A. Lissajous (1822-80) made an extensive study of these motions, and these figures are therefore named for him. Lissajous figures are conveniently displayed on an oscilloscope by applying periodic electrical signals across its vertical and horizontal inputs. S. BHATTACHARYA From Groliers

11. OPE-MAT - Historique
Translate this page Verrier, Urbain Liouville, Joseph Lagny, Thomas de Lemoine, Émile Lipschitz, RudolfLagrange, Joseph-Louis Leonardo da Vinci lissajous, jules Laguerre, Edmond
http://www.gci.ulaval.ca/PIIP/math-app/Historique/mat.htm

Extractions: Abel , Niels Akhiezer , Naum Anthemius of Tralles Abraham bar Hiyya al'Battani , Abu Allah Antiphon the Sophist Abraham, Max al'Biruni , Abu Arrayhan Apollonius of Perga Abu Kamil Shuja al'Haitam , Abu Ali Appell , Paul Abu'l-Wafa al'Buzjani al'Kashi , Ghiyath Arago , Francois Ackermann , Wilhelm al'Khwarizmi , Abu Arbogast , Louis Adams , John Couch Albert of Saxony Arbuthnot , John Adelard of Bath Albert , Abraham Archimedes of Syracuse Adler , August Alberti , Leone Battista Archytas of Tarentum Adrain , Robert Albertus Magnus, Saint Argand , Jean Aepinus , Franz Alcuin of York Aristaeus the Elder Agnesi , Maria Alekandrov , Pavel Aristarchus of Samos Ahmed ibn Yusuf Alexander , James Aristotle Ahmes Arnauld , Antoine Aida Yasuaki Amsler , Jacob Aronhold , Siegfried Aiken , Howard Anaxagoras of Clazomenae Artin , Emil Airy , George Anderson , Oskar Aryabhata the Elder Aitken , Alexander Angeli , Stefano degli Atwood , George Ajima , Chokuyen Anstice , Robert Richard Avicenna , Abu Ali Babbage , Charles Betti , Enrico Bossut , Charles Bachet Beurling , Arne Bouguer , Pierre Bachmann , Paul Boulliau , Ismael Bacon , Roger Bhaskara Bouquet , Jean Backus , John Bianchi , Luigi Bour , Edmond Baer , Reinhold Bieberbach , Ludwig Bourgainville , Louis Baire Billy , Jacques de Boutroux , Pierre Baker , Henry Binet , Jacques Bowditch , Nathaniel Ball , W W Rouse Biot , Jean-Baptiste Bowen , Rufus Balmer , Johann Birkhoff , George Boyle , Robert Banach , Stefan Bjerknes, Carl

12. PY115:Musical Acoustics
Pictures of characters. Links to bios of Famous Scientists involved inAcoustics jules lissajous, Robert Hooke, Blaise Pascal, Heinrich Hertz.
http://www.phy.davidson.edu/FacHome/dmb/PY115/MusAcousF96.htm

13. Unit IV: Simulations
This is another Shockwave simulation, with a short article about the discoveryof these wavy figures by jules lissajous and their scientific applications.
http://www.phschool.com/science/cpsurf/sound-light/4simu.html

Extractions: Java applets can only be viewed with a Java-enabled browser, such as version 3.0 or higher of or Microsoft Internet Explorer . To view the Shockwave interactions, you must install the Macromedia Shockwave plug-in Note: For better interaction, load Java applets and Shockwave plug-ins before you need them.

14. Lab 2 Report
Background / Discussion What are lissajous Figures? jules Antoinelissajous was a French physicist who lived from 1822 to 1880.
http://www.ee.byu.edu:8080/~rsm57/ee427/Lab2/lab_2_report.htm

Extractions: Lab 2 Report by Richard Scott McNew Objective: 1. Become very familiar with the laboratory equipment 2. Be comfortable with programming in C with inline assembly language statements 3. Become familiar with basic real-time tasks programmed on the AM186 processor Task / Problem: You will draw Lissajous figures on the screen of an oscilloscope. You must demonstrate the following: (1) Two algorithms for generating the necessary sinusoidal signals used to synthesize the Lissajous figures. (2) One circle figure and one figure 8. (3) One example of varying phase difference between the two sinusoids that synthesize the Lissajous figure. For extra credit, draw your initials on the screen. Background / Discussion: What are Lissajous Figures? Jules Antoine Lissajous was a French physicist who lived from 1822 to 1880. Like many physicists of his time, Lissajous was interested in being able to see vibrations. He started off standing tuning forks in water and watching the ripple patterns, but his most famous experiments involved tuning forks and mirrors. For example, by attaching a mirror to a tuning fork and shining a light onto it, Lissajous was able to observe, via another couple of mirrors, the reflected light twisting and turning on the screen in time to the vibrations of the tuning fork. When he set up two tuning forks at right angles, with one vibrating at twice the frequency of the other, Lissajous found that the curved lines on the screen would combine to make a figure of eight pattern.

15. The Educational Encyclopedia, Electronic Java Applications
The path traced is known as lissajous figures. lissajous lab lissajous figureswere discovered by the French physicist jules Antoine lissajous.
http://users.pandora.be/educypedia/electronics/javameasurement.htm

Extractions: Electronics Acoustics Analog Antennes Audio ... Resources Java applications Audio Analog Analog-semiconductors Basic cirvuit theory ... Magnetics Measurement Miscellaneous Motor RF RLC circuits ... Transmission lines Measurement Alimentation réglable en tension et courant en Français Analog meter in order to use a DC-style meter movement, such as the D'Arsonval design pictured in the applet below, the alternating current must be "rectified" into DC Balayage télévision en Français Brug van Wheatstone in Dutch Cathode rays this tutorial demonstrates how the electrons create ionizing effects from residual gas, which results in the visibility of cathode rays Fun with oscilloscopes Galvanómetro balístico Kathodenstrahlröhre in German Impedance matching the input to the bridge is an AC oscillator, often variable in both frequency and amplitude, Maxwell inductance bridge Lissajous two oscillations one along the x axis and the other along the y axis when added result in a two dimensional motion. The path traced is known as Lissajous figures Lissajous lab Lissajous figures were discovered by the French physicist Jules Antoine Lissajous. He would use sounds of different frequencies to vibrate a mirror

16. Unit IV: Simulations
Patterns Another Shockwave simulation, with a short article about the discoveryof these wavy figures by jules lissajous and their scientific applications.

Extractions: Página local original en: http://www.phschool.com/science/cpsurf/sound-light/4simu.html Java applets can only be viewed with a Java-enabled browser, such as version 3.0 or higher of or Microsoft Internet Explorer . To view the Shockwave interactions, you must install the Macromedia Shockwave plug-in . Note: To facilitate better interaction, it is recommended that you load Java applets and Shockwave interactions prior to using them.

17. Metric Halo Laboratory's SpectraFoo Visual Audio Monitoring System
lissajous patterns (named for another 19thcentury French mathematician, jules Antoinelissajous) give an idea of the width and spaciousness of a soundfield.
http://www.infinitesound.com/spectrafoo.htm

Extractions: Metric Halo Laboratorys SpectraFoo Visual Audio Monitoring System by J. Arif Verner Imagine what it would be like to look at the music during a mix. Or better yet, to visually dissect the sounds on each track. That is the goal of Metric Halo Laboratorys SpectraFoo Visual Audio Monitoring System. This real-time audio analysis software can analyze up to 24 channels of audio simultaneously. Product Points Metric Halo Laboratorys SpectraFoo Visual Audio Monitoring System Applications: Real-time audio signal analysis Key Features: 10 audio analysis instruments including oscilloscopes, Lissajous phase scopes, balance meters, envelope/power/balance history, time code clock, spectrogram, spectrograph and level meters; SpectraFoo Radical 3 supports the following I/O devices: Digidesign AudioMedia II Digidesign AudioMedia III Digidesign Pro Tools III (SpectraFoo Radical 3 running as a standalone app can use Pro Tools hardware as an I/O device); Digidesign Pro Tools 24 Digidesign Pro Tools Mix Korg 1212 I/O Sonorus STUD/IO Digigram PCXpocket PCMCIA card Macintosh Sound Manager Price: Plus Versatile array of analysis tools Real-time functionality Instantaneous screen updates Inexpensive compared to hardware audio analysis equipment

18. November 26
studied by the American mathematician Nathaniel Bowditch in 1815, and investigatedindependently by the French mathematician julesAntoine lissajous in 1857-58
http://electron4.phys.utk.edu/141/nov26/November 26.htm

Extractions: November 26 Most systems, which have an equilibrium position, execute simple harmonic motion about this position when they are displaced from equilibrium by a small amount. If motion in more than one dimensions is possible, then the strength of the restoring force may depend on the direction of the displacement. Consider the simple example of a mass m held in a box by four springs. Springs 1 and 2 have spring constant k , while springs 3 and 4 have spring constant k The mass will oscillate with a different frequency when displaced vertically than when displaced horizontally. When the mass is displaced in an arbitrary direction and given a random kick, the resulting motion can appear to be quite complicated. It is the superposition of two simple harmonic motions, a horizontal motion with approximate frequency and a vertical motion with approximate frequency . These motions can have different amplitudes and different phases, depending on the initial condition. Plotting the trajectory of the mass may produces a Lissajous figure Lissajous figures are patterns produced by the intersection of two sinusoidal curves the axes of which are at right angles to each other. They trace the path of a particle moving in a plane when the components of its position along two perpendicular axes each undergo simple harmonic motions and the ratio of their frequencies is a rational number. Lissajous figures were first studied by the American mathematician

19. Institut De France - Recherche
Translate this page de Physique générale) LISLET-GEOFFROY (Jean-Baptiste) Académie des Sciences (sectionde Géographie et Navigation) lissajous (jules, Antoine) Académie des
http://www.institut-de-france.fr/franqueville/premier_siecle/rech_premier_l.htm

20. Figure De Lissajous Lissajous Figures [ Accès Général ]
Translate this page Du nom de jules Antoine lissajous, physicien français, 1822-1880. Dictionnaire desarts médiatiques © 1996, Groupe de recherche en arts médiatiques - UQAM,
http://www.comm.uqam.ca/~GRAM/C/term/mus/must199.html

Extractions: MUSIQUE - (n.f.) 1. Dispositif optique permettant d'observer un spot lumineux soumis à des vibrations. 2. Figure obtenue en mettant en relation les variations d'amplitude de deux signaux qui partagent la même fonction temps dans un oscilloscope. La figure de Lissajous est couramment utilisée en stéréophonie, car cette mesure permet de mettre en relation la phase des signaux provenant des deux canaux.

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