1. Lissajous Jules Antoine Lissajous. Born 4 March 1822 Jules Lissajous entered theÉcole Normale Supérieure in 1841. Afterwards he became professor http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Lissajous.html

Jules Antoine Lissajous Born: 4 March 1822 in Versailles, France Died: Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Jules Lissajous Lissajous was interested in waves and developed an optical method for studying vibrations. At first he studied waves produced by a tuning fork in contact with water. In 1855 he described a way of studying acoustic vibrations by reflecting a light beam from a mirror attached to a vibrating object onto a screen. Duhamel had tried to demonstrate these vibrations with a mechanical linkage but Lissajous wanted to avoid the problems caused by the linkage. He obtained Lissajous figures by successively reflecting light from mirrors on two tuning forks vibrating at right angles. The curves are only seen because of persistence of vision in the human eye. Lissajous studied beats seen when his tuning forks had slightly different frequencies, in this case a rotating ellipse is seen.

2. MSN Encarta - Résultats De La Recherche - Lissajous Jules lissajous jules . Page 1 sur 1. *,Réservé lissajous. Plus de résultats avec MSN pour lissajous jules . http://fr.encarta.msn.com/Lissajous_Jules.html

Accueil MSN Mon MSN Hotmail Rechercher ... S'abonner   Encarta Premium Rechercher Encarta R©sultats de la recherche pour "Lissajous Jules" Page sur 1 R©serv© aux abonn©s MSN Encarta Premium. Lissajous, Jules Encyclop©die EncartaArticle Lissajous, Jules (1822-1880), physicien fran§ais   l’origine de courbes utilis©es dans les mesures de fr©quences en ©lectromagn©tisme. R©sultats provenant de MSN Search Yahoo! Encyclop©die - Jules Lissajous Encyclop©die Accueil Jules Lissajous Recherche de sites web Physicien fran§ais (Versailles, 1822 — Plombi¨res-l¨s-Dijon, 1880). http://fr.encyclopedia.yahoo.com/articles/l/l0002562_p0.html lissajous Une abeille vous guide sur ce site consacr© essentiellement au jeu de bridge, avec des cours, des probl¨mes, des entra®nements,   la fois sur les ench¨res et le jeu de la carte, et quelques ... http://bcev.nfrance.com/lissajous/lissajous.htm Lissajous Jules Antoine Lissajous N© le : 4 Mars 1822   Versailles, France D©c©d© le: 24 Juin 1880   Plombi¨res, France Lissajous entre   l' ‰cole Normale Sup©rieure en 1841. http://www.ac-nice.fr/physique/lissajous/biblio.html

3. Jules Antoine Lissajous - Wikipedia Translate this page Jules Antoine Lissajous. aus Wikipedia, der freien Enzyklopädie. JulesAntoine Lissajous (* 4. März 1822 in Versailles, † 24. http://de.wikipedia.org/wiki/Jules_Antoine_Lissajous

Jules Antoine Lissajous aus Wikipedia, der freien Enzyklopädie Jules Antoine Lissajous 4. März in Versailles 24. Juni in Plombières) war ein französischer Physiker Lissajous wurde durch die Entdeckung der nach ihm benannten Figuren bekannt. Sie entstehen bei der Überlagerung linearer Schwingungen , ihre Form ist vom Frequenzverhältnis und der zu Beginn vorhandenen Phasenwinkeldifferenz abhängig. Bei ungleichen Frequenzen ergibt sich eine unveränderliche Lissajous-Figur , wenn beide Frequenzen ein rationales Verhältnis bilden. Anderenfalls wiederholen sich die Bahnkurven nicht, die Lissajous-Figur verändert sich ständig. Bei gleichen Frequenzen ergeben sich Ellipsen unterschiedlicher Exzentrizität Im Jahr 1855 beschrieb Lissajous eine Methode zur Darstellung derartiger Schwingungen. 1873 wurde er von der Academie des Sciences mit dem Lacaze-Preis für seine Arbeiten zur Beobachtung, Messung und Deutung von Schwingungen ausgezeichnet. Eine einfache Versuchsanordnung zur Nachahmung von Lissajous Arbeiten könnte wie folgt aussehen: Ein Pendel wird so aufgehängt, dass sich das Pendel nicht nur in einer Ebene, sondern in verschiedene Richtungen bewegen kann. Es wird zunächst durch einen Stoß in Schwingungen versetzt. Anschließend erhält das Pendel einen weiteren Stoß in eine andere Richtung. Jetzt vollführt das Pendel gleichzeitig Schwingungen in zwei verschiedene Richtungen, was zur Folge hat, dass die Bahn der Pendelmasse eine zwar sehr komplizierte, aber in sich geschlossene Linie, nämlich eine Lissajous-Kurve, beschreibt. Man kann sie aufzeichnen, indem man als schwingende Masse einen mit Sand gefüllten Trichter verwendet, aus dem der Sand langsam ausströmt.

4. Lissajous Jules Antoine Lissajous. Jules Lissajous entered Ecole Normale Supérieure in 1841.Afterwards he became professor of mathematics at the Lycée SaintLouis. http://www.nmhs.nusd.k12.ca.us/Nmhs/Departmentwebsites/Math/Lissajous.htm

Jules Antoine Lissajous Born: 4 March 1822 in Versailles, France Died: 24 June 1880 in Plombières, France Jules Lissajous entered Ecole Normale Supérieure in 1841. Afterwards he became professor of mathematics at the Lycée Saint-Louis. In 1850 he was awarded a doctorate for a thesis on vibrating bars using Chladni's sand pattern method to determine nodal positions. In 1874 Lissajous became rector of the Academy at Chambéry, then in 1875 he was appointed rector of the Academy at Besançon. Lissajous was interested in waves and developed an optical method for studying vibrations. At first he studied waves produced by a tuning fork in contact with water. In 1855 he described a way of studying acoustic vibrations by reflecting a light beam from a mirror attached to a vibrating object onto a screen. Duhamel had tried to demonstrate these vibrations with a mechanical linkage but Lissajous wanted to avoid the problems caused by the linkage. He obtained Lissajous figures by successively reflecting light from mirrors on two tuning forks vibrating at right angles. The curves are only seen because of persistence of vision in the human eye. Lissajous studied beats seen when his tuning forks had slightly different frequencies, in this case a rotating

5. Einige Der Bedeutenden Mathematiker Translate this page Lie Marius Sophus, 1842-1899. Liouville Joseph, 1809-1882. Lipschitz Rudolf Otto,1832-1903. lissajous jules Antoine, 1822-1880. Littlewood John Edensor, 1885-1977. http://www.zahlenjagd.at/mathematiker.html

Einige der bedeutenden Mathematiker Abel Niels Hendrik Appolonius von Perga ~230 v.Chr. Archimedes von Syrakus 287-212 v.Chr. Babbage Charles Banach Stefan Bayes Thomas Bernoulli Daniel Bernoulli Jakob Bernoulli Johann Bernoulli Nicolaus Bessel Friedrich Wilhelm Bieberbach Ludwig Birkhoff Georg David Bolyai János Bolzano Bernhard Boole George Borel Emile Briggs Henry Brouwer L.E.J. Cantor Georg Ferdinand Carroll Lewis Cassini Giovanni Domenico Cardano Girolamo Cauchy Augustin Louis Cayley Arthur Ceulen, Ludolph van Chomsky Noel Chwarismi Muhammed Ibn Musa Al Church Alonzo Cohen Paul Joseph Conway John Horton Courant Richard D'Alembert Jean Le Rond De Morgan Augustus Dedekind Julius Wilhelm Richard Descartes René Dieudonné Jean Diophantos von Alexandria ~250 v. Chr. Dirac Paul Adrien Maurice Dirichlet Peter Gustav Lejeune Eratosthenes von Kyrene 276-194 v.Chr. Euklid von Alexandria ~300 v.Chr. Euler Leonhard Fatou Pierre Fermat Pierre de Fischer Ronald A Sir Fourier Jean-Baptiste-Joseph Fraenkel Adolf Frege Gottlob Frobenius Ferdinand Georg Galois Evariste Galton Francis Sir Gauß Carl Friedrich Germain Marie-Sophie Gödel Kurt Goldbach Christian Hadamard Jacques Hamilton William Rowan Hausdorff Felix Hermite Charles Heawood Percy Heron von Alexandrien ~60 n.Chr.

6. Lissajous Jules Antoine Lissajous. Jules Lissajous entered École Normale Supérieure in 1841.Afterwards he became professor of mathematics at the Lycée SaintLouis. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZ8274.htm

Jules Antoine Lissajous Born: 4 March 1822 in Versailles, France Died: Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Jules Lissajous Lissajous was interested in waves and developed an optical method for studying vibrations. At first he studied waves produced by a tuning fork in contact with water. In 1855 he described a way of studying acoustic vibrations by reflecting a light beam from a mirror attached to a vibrating object onto a screen. Duhamel had tried to demonstrate these vibrations with a mechanical linkage but Lissajous wanted to avoid the problems caused by the linkage. He obtained Lissajous figures by successively reflecting light from mirrors on two tuning forks vibrating at right angles. The curves are only seen because of persistence of vision in the human eye. Lissajous studied beats seen when his tuning forks had slightly different frequencies, in this case a rotating ellipse is seen. Lissajous was awarded the Lacaze Prize in 1873 for his work on the optical observation of vibration. Helmholtz used Lissajous' instruments in his study of string vibrations.

7. Jules Lissajous Jules Antoine Lissajous (18221880). Jules Lissajous entered EcoleNormale Supérieure in 1841. Afterwards he became professor of http://www.fys.kuleuven.ac.be/pradem/fysici/Lissajous.htm

Pradem Leuven Demo's Applets Laboproeven ... Zoeken Jules Antoine Lissajous (1822-1880) Jules Lissajous entered Ecole Normale Supérieure in 1841. Afterwards he became professor of mathematics at the Lycée Saint-Louis. In 1850 he was awarded a doctorate for a thesis on vibrating bars using Chladni's Article by: J J O'Connor and E F Robertson Pradem Leuven Premonstreitcollege Plan Naamsestraat 61 3000 Leuven Opmaak: Tony Verheyden Laatste wijziging: 18-mar-04

8. The Lissajous Lab lissajous Figures. lissajous (pronounced LEEsuh-zhoo) figures were discovered by the French physicist jules Antoine lissajous. He would use sounds http://www.coolmath.com/lissajous

This site is FREE thanks to our generous sponsors: 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 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.

9. Lissajous lissajous Explorer. Download. Version. 1.1. Date release. Jul, 14/2002. Size. 221Kb ( 1min 56KB modem) Try prototype of a 3d version! lissajous explorer. jules Antoine lissajous (18221880) was a http://www.voicesync.org/lissajous.htm

Lissajous Explorer Download WinZip file Version Date release Jul, 14/2002 Size Try prototype of a 3d version Lissajous explorer . Enables visualization and interaction with Lissajous figures , a scattered composition of two waves, they represent a link between vibration and matter as composed grids are those found in crystalline substances. Includes preset values and a random generator, try the 115,187 preset pair an oscillating pattern of a butterfly wing. Hear the figure with the auto play feature, plays 3 octave midi chord with the selected M, N values in octave scale. Jules Antoine Lissajous (1822-1880) was a French physicist who was interested in waves, and around 1855 developed a method for displaying them optically by reflecting a light beam from a mirror attached to a vibrating object such as a tuning fork. Lissajous figures are also used in Cymatic research. Home

10. An Introduction To Lissajous Patterns Background. lissajous (pronounced LEEsuh-zhoo) figures were discovered by the French physicist jules Antoine lissajous. He would use sounds 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

11. Lissajous Curve lissajous curve. higher. last updated 200309-09 can confine ourselves to the case a ³1. jules-Antoine lissajous (1822-1880) discovered these elegant curves (in 1857 http://www.2dcurves.com/higher/higherli.html

Lissajous curve higher last updated: where b £ p When the constant a is rational, the curve is algebraic and closed. If a is irrational, the curve fills the area [-1,1] x [-1,1]. It is easy to see that the curves for 1/a and a are equal in form. This means that we can confine ourselves to the case a Jules-Antoine Lissajous (1822-1880) discovered these elegant curves (in 1857) while doing his sound experiments. But it is said that the American Nathaniel Bowditch (1773-1838) found the curves already in 1815. After him the curve bears the name of Bowditch curve Another name that I found is the play curve of Alice The curves are constructed as a combination of two perpendicular harmonic oscillations. Patterns occur as a result of differences in frequency ratio (a) and phase (b). At high school we used the oscilloscope to make the curve visible (nowadays a computer would do), by connecting different harmonic signals to the x- and y-axis entrance. The curves have applications in physics, astronomy and other sciences. Each Lissajous curve can be described with an algebraic equation.

12. Lissajous Biography of lissajous (18221880) jules Antoine lissajous. Born 4 March 1822 in Versailles, France Main index. jules lissajous entered the École Normale Supérieure in 1841 http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Lissajous.html

Jules Antoine Lissajous Born: 4 March 1822 in Versailles, France Died: Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Jules Lissajous Lissajous was interested in waves and developed an optical method for studying vibrations. At first he studied waves produced by a tuning fork in contact with water. In 1855 he described a way of studying acoustic vibrations by reflecting a light beam from a mirror attached to a vibrating object onto a screen. Duhamel had tried to demonstrate these vibrations with a mechanical linkage but Lissajous wanted to avoid the problems caused by the linkage. He obtained Lissajous figures by successively reflecting light from mirrors on two tuning forks vibrating at right angles. The curves are only seen because of persistence of vision in the human eye. Lissajous studied beats seen when his tuning forks had slightly different frequencies, in this case a rotating ellipse is seen.

13. Lissajous Portraits jules lissajous. http://www-gap.dcs.st-and.ac.uk/~history/PictDisplay/Lissajous.html

Jules Lissajous JOC/EFR August 2001 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Lissajous.html

14. No. 1305: A=440 Enter now a physics professor named jules Antoine lissajous. lissajous had written a thesis on the 3351. lissajous, jules Antoine, The Dictionary of Scientific Biography, Vol 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 A . The best-tuned orchestra is close to, but never exactly on, the standard A So how did we create that particular pitch before we had electronic measurements? How did we tune a tuning fork? Agreeing on pitch became a serious problem as orchestra sizes increased during the Baroque era. Baroque musicians often used organ pipes as standards even though pitches varied greatly from one organ to another. In 1619 composer Michael Praetorius proposed a particular A -425 organ pipe as a standard. He pointed out that higher pitches led to broken violin strings. That was almost a half-step below today's

15. Lissajous, Jules Antoine lissajous, jules Antoine (18221880). French physicist who from 1855developed lissajous figures as a means of visually demonstrating 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.

16. MSN Encarta - Lissajous, Jules Translate this page lissajous, jules. lissajous, jules (1822-1880), physicien français à l’originede courbes utilisées dans les mesures de fréquences en électromagnétisme. http://fr.encarta.msn.com/encyclopedia_761592396/Lissajous_Jules.html

Accueil MSN Mon MSN Hotmail Rechercher ... S'abonner   Encarta Premium Rechercher 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

17. Biografia De Lissajous, Jules Translate this page lissajous, jules. (Versalles, 1822-Plombières-lès-Dijon, 1880) Físicofrancés. Inventó un medidor óptico y un telégrafo óptico http://www.biografiasyvidas.com/biografia/l/lissajous.htm

Inicio Buscador Utilidades Recomendar sitio Enlaces Lissajous, Jules (Versalles, 1822-Plombières-lès-Dijon, 1880) Físico francés. Inventó un medidor óptico y un telégrafo óptico y estudió las vibraciones elásticas y la composición de movimientos vibratorios. Inicio Buscador Recomendar sitio

18. HighBeam Research: Search Results: Article lissajous, jules Antoine (18221880). The Hutchinson Dictionary ofScientific Biography; 1/1/1998. Read the Full Article, Get a FREE http://www.highbeam.com/library/doc0.asp?DOCID=1P1:28909998&num=20&ctrlInfo=Roun

19. HighBeam Research: ELibrary Search: Results lissajous, jules Antoine (18221880) The Hutchinson Dictionary of Scientific Biography;January 1, 1998 lissajous, jules Antoine (1822-1880) was a French http://www.highbeam.com/library/search.asp?FN=AO&refid=ency_refd&search_dictiona

20. Lissajous lissajous, jules Antoine. (18221880). Francouzský fyzik zabývající se vlnamia kmity. 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.

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