21. Lissajous, Jules Antoine lissajous, jules Antoine (18221880). French physicist who from 1855 developedlissajous figures as a means of visually demonstrating the vibrations that http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/L/Lissajous/1.ht

Lissajous, Jules Antoine French physicist who from 1855 developed Lissajous figures as a means of visually demonstrating the vibrations that produce sound waves. Lissajous first reflected a light beam from a mirror attached to a vibrating object such as a tuning fork to another mirror that rotated. The light was then reflected onto a screen, where the spot traced out a curve whose shape depended on the amplitude and frequency of the vibration. He then refined this method by using two mirrors mounted on vibrating tuning forks at right angles, and produced a wider variety of figures. By making one of the forks a standard, the acoustic characteristics of the other fork could be determined by the shape of the Lissajous figure produced. Lissajous figures can now be demonstrated on the screen of an oscilloscope by applying alternating currents of different frequencies to the deflection plates. The curves produced depend on the ratio of the frequencies, enabling signals to be compared with each other.

22. MSN Encarta - Lissajous, Jules Translate this page lissajous, jules (1822-1880), physicien français à l’origine de courbes utiliséesdans les Autres fonctionnalités Encarta. Rechercher lissajous, jules http://fr.encarta.msn.com/encyclopedia_761592396/Lissajous_Jules.html

Accueil MSN Mon MSN Hotmail Rechercher ... Tout savoir sur la gamme Encarta Rechercher sur Encarta Article accessible sur abonnement MSN Encarta Premium : Acc©dez   30 000 articles encyclop©diques avec plus de 12 000 illustrations, un atlas mondial interactif, un guide du Web et une palette compl¨te de ressources et d'outils ©ducatifs. 34,99 € par an (service d’acc¨s   Internet non compris). En savoir plus. Cet article n'est accessible que si vous ªtes abonn©   MSN Encarta Premium. Dans ce cas, connectez-vous en cliquant sur le lien Aller sur MSN Encarta Premium (ci-dessus). Lissajous, Jules Lissajous, Jules (1822-1880), physicien fran§ais   l’origine de courbes utilis©es dans les mesures de fr©quences en ©lectromagn©tisme. Encarta vous int©resse ? Abonnez-vous d¨s maintenant et b©n©ficiez de : Plus de 30 000 articles 2 000 analyses d'oeuvre Plus de 12 000 m©dias (dont des extraits sonores, des vid©os et des m©dias interactifs) Un atlas mondial interactif Une palette compl¨te de ressources et d'outils ©ducatifs Un guide du Web Plus de r©sultats pour Lissajous, Jules

23. Lissajous lissajous, jules Antoine. (18221880). Francouzský fyzik zabývající se vlnami akmity. Vyvinul speciální optickou metodu pro jejich sledování. http://www.aldebaran.cz/famous/people/Lissajous_Jules.html

Lissajous, Jules Antoine Francouzský fyzik zabývající se vlnami a kmity. Vyvinul speciální optickou metodu pro jejich sledování. Sledoval i zvukové vlny pomocí odrazu svìtelného paprsku od zrcadla dotýkajícího se zdroje zvuku. Také sledoval záznìje. Na jeho poèest jsou pojmenovány Lissajousovy obrazce vznikající pøi skládání dvou kolmých kmitù, je-li pomìr frekvencí roven malým celým èíslùm.

24. The ABC's Of 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 http://abc.net.au/science/holo/liss.htm

To view this page, you need a plug-in called Shockwave that you can download free from the web. 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. The ABC logo is a 3:1 Lissajous figure if Lissajous wanted to see this pattern he would have to get one of his tuning forks to vibrate three times faster than the other. Why did the ABC choose a Lissajous figure for its logo?

25. Jules Antoine Lissajous - Wikipedia, The Free Encyclopedia jules Antoine lissajous. From Wikipedia, the free encyclopedia. jules Antoinelissajous (182203-04 - 1880-06-24) was a French mathematician, http://www.xahlee.org/_p/wiki/Jules_Antoine_Lissajous.html

Jules Antoine Lissajous From Wikipedia, the free encyclopedia. Jules Antoine Lissajous ) was a French mathematician, after whom Lissajous figures are named. He invented the harmonograph This article is a stub . You can help Wikipedia by expanding it Retrieved from " http://en.wikipedia.org/wiki/Jules_Antoine_Lissajous Categories 1822 births 1880 deaths Views Article Discussion Edit this page History ... Watch Personal tools My talk Preferences My watchlist My contributions ... Log out Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Upload file Special pages In other languages Deutsch Polski This page was last modified 20:13, 2004 Oct 30. All text is available under the terms of the GNU Free Documentation License (see for details). About Wikipedia

26. Xah: Special Plane Curves: Lissajous lissajous is two such motions in perpendicular directions History. Studied byNathaniel Bowditch in 1815 and jules Antoine lissajous (18221880). http://www.xahlee.org/SpecialPlaneCurves_dir/Lissajous_dir/lissajous.html

If you spend more than 30 minutes on this site, please send $1 to me. Go to http://paypal.com/ and make a payment to xah@xahlee.org. Or send to: P. O. Box 390595, Mountain View, CA 94042-0290, USA. ☠Back to Table of Contents Lissajous (in the works) lissajous.nb Description Lissajous is a family of curves, given by with 3 parameters. In studying nature there often arises the wave motion a*Sin[b*t+c] . For example, the motion of a pendulum. Lissajous is two such motions in perpendicular directions: Changing the parameter by replacing t→1/b1*t then t→c2, then scale by 1/a2, we can simplify the parameters down to History Studied by Nathaniel Bowditch in 1815 and Jules Antoine Lissajous (1822-1880). Formulas Parametric: lissajous animation The parameter a stretches the curve in one direction. Parameters b and c are more interesting. The period of the curve is the least common multiple of the two components, that is, LCM[2*π/b,2*π]. Properties Related Web Sites see Generic Reference Page http://en.wikipedia.org/wiki/Lissajous_figure local copy http://en.wikipedia.org/wiki/Nathaniel_Bowditch ... local copy ☠Back to Table of Contents last updated: 2004-11. © 1995-2004 by

27. Lissajous Lab Use lissajous figures to create colorful patterns and string art. LEEsuh-zhoo)figures were discovered by the French physicist jules Antoine lissajous. http://www.mathematik.ch/anwendungenmath/lissajou/lab/

Home Geschichte Mathematiker Zitate ... Fraktale und Finanzen B.B. Mandelbrot, R.L. Hudson Lissajous Lab To operate: Select the Preset buttons at the left to see sample patterns. To generate your own patterns, use the digital readouts at the right. Adjust the readouts 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

28. Lissajous Lab lissajous Figures. lissajous (pronounced LEEsuh-zhoo) figures were discoveredby the French physicist jules Antoine lissajous. http://www.math.com/students/wonders/lissajous/lissajous.html

Home Teacher Parents Glossary ... Email this page to a friend More Wonders Fractals Spirograph Conway's Game of Life Roman Numeral Calculator ... Lissajous Lab Resources Cool Tools References Test Preparation Study Tips ... Wonders of Math Search Lissajous Lab 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

29. No. 1305: A=440 3351. lissajous, jules Antoine, The Dictionary of Scientific Biography, Vol . Tyndall s (1876) representation of lissajous s tuning fork calibration http://www.uh.edu/engines/epi1305.htm

No. 1305: A by John H. Lienhard Click here for audio of Episode 1305. Today, we set the pitch of a concert A . The University of Houston's College of Engineering presents this series about the machines that make our civilization run, and the people whose ingenuity created them. T he story is told of a conductor who had problems with an out-of-tune soprano. Finally he turned to her in frustration and hissed, "Madam, would you please give the concertmaster your A Today's A above middle C has been set at 440 cycles per second or 440 Hertz. Before the concert, the concertmaster bids the oboist play an A for the winds. Then he tunes to that A and plays it for the strings. In the end, all ninety players should be agreed on the same 440 A , but the best human ear is hard put to tell a 440 A from, say, a 442

30. Music For A While(The CD Script) lissajous experiment Enter now physics professor jules Antoine lissajous.lissajous had written a thesis on tuning forks. He d developed clever means for http://www.uh.edu/engines/musicforawhile/musictext.htm

MUSIC FOR A WHILE Script for the Engines CD, Fall 2004 by John H. Lienhard Mechanical Engineering Department University of Houston Houston, TX 77204-4006 Executive Producer: Capella V. Tucker, KUHF Vocal Elements: Katherine Ciesinski, HGO and UH Moores School of Music Music and Sound Mixing: Brad Sayles, CD Production: Jimmy Do, KUHF and KUHT Systems Source material is given at the end of this text. TO LEARN HOW YOU MAY OBTAIN A COPY OF THE AUDIO CD CLICK HERE Track 1: Introduction (2:30): Let us think for a while about music what it is and what it does. Music is, of course, no human invention. Birds, whales even far lesser creatures were making music in many forms, long before we humans arrived upon the scene. And, as soon as we learned to shape bone, wood, stone and entrails, we found ways they could aid us in our music-making. No sooner had we learned to organize and retain our thoughts, than we applied that organization to creating ever-more-sophisticated yet ever-primal music. But, when we gave music over to our tools, and to our systematic ways of thinking, it took on radically new dimensions. So let us look at the gifts that we humans have brought to, and taken from, this essential animal act of expressing the inexpressible. We give the technology of music-making greater power in our lives than any other. We give to it the power to disturb as well as to resolve to activate our intellect, as well as to walk around analytical thought. Of course anything that strong will work its mischief. Music can pander, inflame even mislead us. We find ways to misuse any of our technologies.

31. Lissajous Lab Translate this page Figuras de lissajous Las figuras de lissajous (se pronuncia Li-su-sho) fuerondescubiertas por el físico francés jules Antoine lissajous. http://www.geocities.com/magotrix/lissajous/lissajous.htm

Figuras de Lissajous Instrucciones: Selecciona uno de los botones con letras de lado izquierdo para ver figuras precalculadas. Para generar tus propias figuras, usa los números de la derecha. Haciendo click en la parte superior de un dígito se incrementa su valor Haciendo click en la parte inferior de un dígito se decrementa su valor. Explicación de los valores de las lecturas xFreq Es el número de ciclos horizontales por cada cuadro del dibujo. yFreq Es el número de ciclos verticales por cada cuadro del dibujo. hueFreq Es el número de ciclos del color por cada cuadro de la figura. Cada ciclo representa un espectro completo de colores. Samples Es el número de segmentos de línea que se usarán para dibujar cada cuadro. Incrementar este número hace las curvas más suaves. Decrementarlo, aumenta la inclinación de cada línea, haciéndolo parecer más macramé que una curva matemática. Figuras de Lissajous Las figuras de Lissajous (se pronuncia Li-su-sho ) fueron descubiertas por el físico francés Jules Antoine Lissajous . Él usó sonidos de diferentes frecuencias (agudos y graves) para hacer vibrar un espejo. Un rayo de luz reflejado en el espejo dibujaba figuras, cuya forma dependía de la frecuencia de los sonidos. El experimento de Lissajous es similar al aparato que se utiliza en la actualidad para proyectar espectáculos de luz lasser.

32. Lissajous Curve -- From MathWorld (independently) by julesAntoine lissajous in 1857 (MacTutor Archive).lissajous curves have applications in physics, astronomy, and other sciences. http://mathworld.wolfram.com/LissajousCurve.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index DESTINATIONS About MathWorld About the Author Headline News ... Random Entry CONTACT Contribute an Entry Send a Message to the Team MATHWORLD - IN PRINT Order book from Amazon Geometry Curves Plane Curves ... General Plane Curves Lissajous Curve Lissajous curves are the family of curves described by the parametric equations sometimes also written in the form They are sometimes known as Bowditch curves after Nathaniel Bowditch , who studied them in 1815. They were studied in more detail (independently) by Jules-Antoine Lissajous in 1857 (MacTutor Archive). Lissajous curves have applications in physics, astronomy, and other sciences. The curves close iff is rational Lissajous curves are a special case of the harmonograph with damping constants Special cases are summarized in the following table, and include the line circle ellipse , and section of a parabola parameters curve line circle ellipse section of a parabola It follows that gives a parabola from the fact that this gives the parametric equations , which is simply a horizontally offset form of the parametric equation of the parabola SEE ALSO: Harmonograph Simple Harmonic Motion [Pages Linking Here] REFERENCES: Cundy, H. and Rollett, A. "Lissajous's Figures." §5.5.3 in

33. Lexikon Jules Antoine Lissajous jules Antoine lissajous aus der freienEnzyklopädie Wikipedia und steht unter der GNU Lizenz. http://lexikon.freenet.de/Jules_Antoine_Lissajous

E-Mail Mitglieder Community Suche ... Hilfe document.write(''); im Web in freenet.de in Shopping Branchen Lexikon Artikel nach Themen alphabetischer Index Artikel in Kategorien Weitere Themen APPD zieht vor Gericht: Dieser Ekel-Spot muss nun gesendet werden Noch mehr Sex und Intrigen: Die neuen "Housewives" œberraschung: Aldi bietet 3-GHz-PC f¼r nur 499 Euro an Peugeot 20Cup: Doppelter FahrspaŸ ohne Ende ... Adriana verw¶hnt mit ihrem Schmollmund Sie sind hier: Startseite Lexikon Jules Antoine Lissajous Jules Antoine Lissajous Jules Antoine Lissajous 4. M¤rz in Versailles 24. Juni in Plombi¨res) war ein franz¶sischer Physiker Lissajous wurde durch die Entdeckung der nach ihm benannten Figuren bekannt. Sie entstehen bei der œberlagerung linearer Schwingungen , ihre Form ist vom Frequenzverh¤ltnis und der zu Beginn vorhandenen Phasenwinkeldifferenz abh¤ngig. Bei ungleichen Frequenzen ergibt sich eine unver¤nderliche Lissajous-Figur , wenn beide Frequenzen ein rationales Verh¤ltnis bilden. Anderenfalls wiederholen sich die Bahnkurven nicht, die Lissajous-Figur ver¤ndert sich st¤ndig. Bei gleichen Frequenzen ergeben sich Ellipsen unterschiedlicher Exzentrizit¤t . Im Jahr 1855 beschrieb Lissajous eine Methode zur Darstellung derartiger Schwingungen. 1873 wurde er von der Academie des Sciences mit dem Lacaze-Preis f¼r seine Arbeiten zur Beobachtung, Messung und Deutung von Schwingungen ausgezeichnet. Eine einfache Versuchsanordnung zur Nachahmung von Lissajous Arbeiten k¶nnte wie folgt aussehen: Ein

34. Cool Math 4 Kids .com - Cool Things figures were discovered by the French physicist jules Antoine lissajous. The lissajous Lab provides you with a virtual oscilloscope which you can http://www.coolmath4kids.com/coolthings/lissajous/

The Lissajous Lab ( Lee -suh-zhoo) If this game doesn't work on your computer, go here for help. 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 (All this stuff is a bit advanced, but you might want to try it!) 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.

35. Science And Society Picture Library - Search jules lissajous, French physicist, mid 19th century. jules lissajous (18221880)invented the vibration microscope, an optical method for studying http://www.scienceandsociety.co.uk/results.asp?image=10302028&wwwflag=2&imagepos

36. Science And Society Picture Library - Search More results from www.scienceandsociety.co.uk lissajous 3DJules lissajous was a french scientist who lived in the nineteenth century.He generated the curves that later got his name by attaching mirrors to a pair http://www.scienceandsociety.co.uk/results.asp?x9=LISSAJOUS, JULES

37. NetLogo User Community Models: Lissajous calculation of the angle is increased. A color choice could be added. CREDITS ANDREFERENCES. jules Antoine lissajous (*1822 +1880) french physician. http://ccl.northwestern.edu/netlogo/models/community/Lissajous

Home Page Download Models Community Models ... Extensions User Manual: Web version Printable version FAQ Links ... Contact Us NetLogo User Community Models (back to the NetLogo User Community Models) Lissajous by Paul Rieger (Submitted: 12/21/2003) Run Lissajous in your browser uses NetLogo 2.1 requires Java 1.4.1+ system requirements Download Lissajous If clicking does not initiate a download, try right clicking or control clicking and choosing "Save" or "Download". Note: If you have trouble running the model in your browser, you may wish to download the application instead. WHAT IS IT? Plot Lissajous-figures on the screen. A mass-point is distraced by two forces. One takes effect in the x-direction the other in the y-direction. These forces are controlled by different sinusoidal functions and the resolving curve of the mass point is drawn in the graphics-window. HOW IT WORKS An invisible turtle is generated and the position is calculated. The following positions are visualized while the turtle marks its way in green color. HOW TO USE IT Xfreq, Yfreq: Sliders to adjust the frequency in the x- and y-direction.

38. Lissajous Curve: Information From Answers.com lissajous curve lissajous figure on an Oscilloscope lissajous figure in threedimensions In and later in more detail by jules Antoine lissajous. http://www.answers.com/topic/lissajous-curve

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Lissajous curve Wikipedia Lissajous curve Lissajous figure on an Oscilloscope Lissajous figure in three dimensions In mathematics , a Lissajous curve Lissajous figure or Bowditch curve ) is the graph of the system of parametric equations which describes complex harmonic motion . This family of curves was investigated by Nathaniel Bowditch in , and later in more detail by Jules Antoine Lissajous The appearance of the figure is highly sensitive to the ratio a b . For a ratio of 1, the figure is an ellipse , with special cases including circles A B radians ) and lines parabola a b a b is rational . The visual form of these curves is often suggestive of a three-dimensional knot , and indeed the many kinds of knots, including those known as Lissajous knot s, project to the plane as Lissajous figures. Lissajous figures are sometimes used in graphic design as logos . Examples include the logos of the Australian Broadcasting Corporation a b Lincoln Laboratory at MIT a b Lissajous curves can be traced mechanically by means of a harmonograph a b a odd

39. 1857: Information From Answers.com jules lissajous b. Versailles, France, March 4, 1822, d. Plombieresles-Dijon,France, June 24, 1880 invents a machine for making lissajous figures, http://www.answers.com/topic/1857

showHide_TellMeAbout2('false'); Arts Business Entertainment Games ... More... On this page: US Literature Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping In the year Archaeology Auguste Mariette is appointed director of all Egyptian excavations and antiquities. See also 1851 Archaeology Astronomy James Clerk Maxwell proves mathematically that Saturn's rings are composed of many small bodies orbiting the planet. See also 1848 Astronomy 1895 Astronomy George Bond is the first to photograph a double star, Misar, and obtain images of both components. See also 1802 Astronomy 1892 Astronomy Tables de la lune ("lunar tables") of Peter Andreas Hansen [b. Tondern, Denmark, December 8, 1795, d. Gotha, Germany, March 28, 1874] are printed by the British government and used thereafter in nautical almanacs. See also 1824 Astronomy L©on Foucault starts production of silver-coated glass telescope mirrors, which will replace metal mirrors used in previous reflecting telescopes. Biology Gregor Mendel starts the experiments with peas in his garden that will lead to his working out the laws of heredity. See also 1860 Biology . (See biography Zoologist Spencer Fullerton Baird [b. Reading, Pennsylvania, February 3, 1823, d. Woods Hole, Massachusetts, August 19, 1887] produces a checklist of North American birds that will become the basis of population studies of birds in the United States.

40. An Introduction To Lissajous Patterns figures were discovered by the French physicist jules Antoine lissajous. lissajous setup was similar to the apparatus which is used today to http://www.egr.msu.edu/classes/ece482/Teams/99spr/design2/web/resources/lissajou

An Introduction to Lissajous Patterns First draft by Michael Kramarczyk,Chris Kolodz, Adam Matheny Updated by Michael Kramarczyk EE 482-Capstone: Computer System Design Michigan State University Property of: Design Team #2 : SPEED Draft: 4/23/99 Lissajous patterns created on the scope using 2 function generators Purpose This application note describes the functionality of Lissajous patterns and how they are used to calibrate the frequency of waveform. Background 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 are useful in the calibration of frequencies in tuning forks. With these properly calibrated tuning forks one is able to verify the functionality of police radar, or the tuning of musical instruments. A Lissajous pattern is a graph of one frequency plotted on the y axis combined with a second frequency plotted on the x axis. Y and X are both periodic functions of time t given by equations such as x = sin (w*n*t + c) and y = sin w*t. Different patterns may be

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