21. Lexikon - Jules Antoine Lissajous Definition Erklärung Bedeutung Lexikon lissajous-Figur Definition Erklärung Bedeutung - Translate this page en entstehen. Sie sind benannt nach ihrem Entdecker, dem französischenPhysiker jules Antoine lissajous (1822-1880). In jüngerer http://www.net-lexikon.de/Jules-Antoine-Lissajous.html

Suche: Info Mitglied werden A B ... Impressum Beta 0.71 powered by: akademie.de Wikipedia PHP PostgreSQL ... englischen Lexikon Google News zum Stichwort Jules Antoine Lissajous Definition, Bedeutung, Erkl¤rung im Lexikon 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 Schwingung en, ihre Form ist vom Frequenz verh¤ltnis und der zu Beginn vorhandenen Phasenwinkeldifferenz abh¤ngig. Bei ungleichen Frequenzen ergibt sich eine unver¤nderliche Lissajous-Figur , wenn beide Frequenzen ein rational es Verh¤ltnis bilden. Anderenfalls wiederholen sich die Bahnkurven nicht, die Lissajous-Figur ver¤ndert sich st¤ndig. Bei gleichen Frequenzen ergeben sich Ellipse n 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 Pendel wird so aufgeh¤ngt, dass sich das Pendel nicht nur in einer Ebene, sondern in verschiedene Richtungen bewegen kann. Es wird zun¤chst durch einen StoŸ in Schwingungen versetzt. AnschlieŸend erh¤lt das Pendel einen weiteren StoŸ in eine andere Richtung. Jetzt vollf¼hrt 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, n¤mlich eine Lissajous-Kurve, beschreibt. Man kann sie aufzeichnen, indem man als schwingende Masse einen mit Sand gef¼llten Trichter verwendet, aus dem der Sand langsam ausstr¶mt.

22. Destins - Biographies - Lepaute A Lyvois Translate this page Liouville meurt en 1882 à Paris. ACCUEIL, SOURCE. Haut de page. lissajous,jules Antoine. Né en 1822 à Versailles. Physicien. Issu http://perso.club-internet.fr/j_mirou/l3.htm

L Lepaute Lespagnandel L'Estoile Leuret ... Lyvois MENU LEPAUTE ACCUEIL SOURCE Jean Baptiste. Hittorf ACCUEIL SOURCE ACCUEIL SOURCE LESPAGNANDEL Matthieu. ACCUEIL SOURCE L'ESTOILE Pierre TAISAN de. ACCUEIL SOURCE LEURET Fragments psychologiques sur la folie Gratiolet Du traitement moral de la folie Leuret ACCUEIL SOURCE LEVACHER Gilles. (Paris, 1737) ; Dissertation sur le cancer des mamelles ACCUEIL SOURCE LEVAILLANT Parmi les comptes rendus de ses travaux, il faut mentionner les Histoire naturelle des oiseaux d'Afrique ACCUEIL SOURCE L'HOSPITAL , Michel de. ACCUEIL LIENS EXTERNES SOURCE LIOUVILLE Joseph. Navier et la de Monge . Il fonde le ACCUEIL SOURCE LISSAJOUS Jules Antoine. ACCUEIL SOURCE LOBINEAU Guy Alexis. ACCUEIL SOURCE LOURMEL (Paris, 1853). ACCUEIL SOURCE LOYNES Antoinette de. Morel Dorat ACCUEIL SOURCE LUCAS ACCUEIL SOURCE LUCE Siméon Auguste. Né en 1833 à Bretteville-sur-Ay (Manche) Historien. Lauréat de l'Ecole des Chartes, Luce y devient enseignant. Il est spécialiste de la fin du Moyen Age, archiviste aux Archives nationales, et il est admis, en 1882, à l'Académie des inscriptions et belles lettres. Il disparaît en 1892 à Paris. Luce a publié des études sur Jeanne d'Arc, Du Guesclin, la Jacquerie, et, en leur adjoignant des analyses, des documents d'époque, parmi lesquels les chroniques de Froissart (1873).

23. Lissajous Curve -- From MathWorld in 1815. They were studied in more detail (independently) by julesAntoinelissajous in 1857 (MacTutor Archive). lissajous curves http://mathworld.wolfram.com/LissajousCurve.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook 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 a = b 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 Harmonograph Simple Harmonic Motion search Cundy, H. and Rollett, A. "Lissajous's Figures." §5.5.3 in

24. Lissajous Lab lissajous Lab. lissajous Figures. lissajous (pronounced LEEsuh-zhoo) figureswere discovered by 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

25. Lissajous Translate this page jules Antoine lissajous. jules Antoine lissajous est né à Versailles,le 4 mars 1822, et mort à Plombières, le 24 juin 1880. http://bcev.nfrance.com/lissajous/lissajous.htm

26. Skolavpohode.cz lissajous, jules Antoine (18221880) Francouzský fyzik zabývající se vlnamia kmity. Vyvinul speciální optickou metodu pro jejich sledování. http://www.skolavpohode.cz/clanek.asp?polozkaID=3751

27. Skolavpohode.cz Ref, Lenard, Philipp Eduard Anton (18621947), zaregistruj se - uvidíšto. Lex, lissajous, jules Antoine (1822-1880), zaregistruj se - uvidíšto. http://www.skolavpohode.cz/prehled.asp?predmetID=13&start=1

28. Ages 13-100 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/

This site is FREE thanks to our generous sponsors: If this 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.

29. Lissajous Translate this page jules lissajous (1822 - 1880). Profesor de matemáticas francés,en 1850 obtuvo su doctorado y en 1874 se convirtió en rector de http://es.geocities.com/fisicas/cientificos/matematicos/lissajous.htm

Jules Lissajous (1822 - 1880) Curvas de Lissajous . Curvas planas que dan las posiciones sucesivas de un punto sometido a dos oscilaciones sinusoidales de direcciones rectngulares, cuyas amplitudes, pulsaciones y fases iniciales pueden ser cualesquiera x = A cos ( w t + f y = A cos ( w t + f http://es.geocities.com/fisicas/ Los autores: e fisicas@yahoo.es

30. The ABC's Of Lissajous Figures download free from the web. jules Antoine lissajous was a French physicistwho lived from 1822 to 1880. Like many physicists of his 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?

31. Encyclogram: Links: Pictures The Physics of the Harmonograph also by Andrew Purdam. The harmonograph waspioneered by the French physicist, jules Antoine lissajous in 1857. http://kosmoi.com/Science/Mathematics/Graphs/Encyclo/links.shtml

EncycloZine Astronomy Biology Chemistry ... Web Design Encyclogram: Links About Us A - Z Site Map Top Pages ... Cell Phones See also: Harmonograph The two pendulum harmonograph draws attractive patterns that arise from drawing the relative path traversed by two swinging masses as their motion is slowly damped. The resulting figures are called harmonograms or sometimes a Lissajous curve. Harmonograph from MathWorld A device consisting of two coupled pendula, usually oscillating at right angles to each other, which are attached to a pen. The resulting motion can produce beautiful, complicated curves which eventually terminate in a point as the motion of the pendula is damped by friction. In the absence of friction (and for small displacements so that the general pendulum equations of motion become simple harmonic motion), the figures produced by a harmonograph would be Lissajous curves. Emulation of Questacon's Harmonograph Java applet by Andrew Purdam. Well worth a look! The Physics of the Harmonograph also by Andrew Purdam. "The harmonograph was pioneered by the French physicist, Jules Antoine Lissajous in 1857. The first harmonograph actually used a light beam on a screen (funny how history repeats itself!) Following the invention of the harmonograph it became a very popular device and was found in many homes. After the early 1900s it decreased in popularity and is rarely seen today, except in hands-on science centres." mathcats A magic chalkboard leads you to interactive math activities: 3D geometry, tessellations, symmetry, polygons, conversions, number stories, multiplication, estimation, probability, using money, real-life problems, a math art gallery of geometric designs, MicroWorlds projects, and more.

32. Courbe De Lissajous jules lissajous (1822-1880) physicien français. http://www.mathcurve.com/courbes2d/lissajous/lissajous.shtml

courbe suivante courbes 2D courbes 3D surfaces ... fractals COURBE DE LISSAJOUS Bowditch curve (or Lissajous curve), Lissajoussche Kurve Autres nom : figure de Lissajous, courbe de Bowditch. Pour les intimes : joue courbe d'Alice. n n n xOy Oy n et projection sur xOy Ox n Si n est irrationnel, la courbe est dense dans le rectangle Si n est un rationnel Courbe q si pour p impair ou pour p pair. q si pour p impair ou pour p pair. On obtient une portion de la courbe du n T n pour n entier pair, et pour n entier impair, Pour n = 1, on obtient les ellipses : Pour a = b et n = 2, on obtient les besaces : lemniscate de Gerono : portion de parabole. Pour a = b et n courbe suivante courbes 2D courbes 3D surfaces ... fractals , Jacques MANDONNET

33. Jules | Style.at *** Leben Mit Style - Wellness, Urlaub, Hobby, Freizeit Translate this page 1838 Musiker (Avesnes F) Leseigneur, jules, 01.05.1839 Musiker (Rouen F) Linossier,jules, 16.05.1857 Mediziner (Lyon F) lissajous, jules Antoine, 04.03.1822 http://www.tripple.net/contator/style/vornamen.asp?n=Jules

34. Style.at *** Leben Mit Style - Wellness, Urlaub, Hobby, Freizeit Translate this page Los Angeles USA) Lepage, Albert, 04.03.1895 Schriftsteller (Laeken B) Leroy,Rene, 04.03.1898 Musiker (Maisons F) lissajous, jules Antoine, 04.03.1822 http://www.tripple.net/contator/style/tage.asp?t=4&m=3

35. Lissajous Lab lissajous Figures lissajous (pronounced LEEsuh-zhoo) figures werediscovered by the French physicist jules Antoine lissajous. He http://www.crazybone.com/osc/osc.html

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

36. Lissajous Or Bowditch Curves - National Curve Bank Moreover, he was the first to investigate a family of curves now usuallynamed for the French physicist, julesAntoine lissajous. http://curvebank.calstatela.edu/lissajous/lissajous.htm

Back to . . . Curve Bank Home Classics Index Page Lissajous or Bowditch Curves Parametric Equations Note: The n determines the number of complete loops. The Slide Show on the right illustrates different values for the constant terms. Replay the animation Replay the Slide Show MATHEMATICA Code Also, these curves are easily entered and modified on a graphing calculator. American Nathaniel Bowditch "I never come across one of Laplace's 'Thus it plainly appears' without feeling sure that I have hours of hard work before me to fill up the chasm and find out and show how it plainly appears." Nathaniel Bowditch Historical Sketch Nathaniel Bowditch (1773 - 1838) was the first American to receive international recognition as a mathematician. Moreover, he was the first to investigate a family of curves now usually named for the French physicist, Jules-Antoine Lissajous. Lissajous independently published his work much later in 1857. Bowditch, working in the isolation of New England's Salem and Boston areas, held a life-long fascination with doing tedious calculations. He learned Latin and several other languages in order to read the mathematical publications being imported from Europe. In particular, he is known to have studied Newton's

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

Electronics Acoustics Analog Antennas Audio ... Resources Java applications Actif semiconductors Analog Audio Basic cirvuit theory ... Magnetics Measurement Miscellaneous Modulation Motor Passif semiconductors ... 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 Cathode rays this tutorial demonstrates how the electrons create ionizing effects from residual gas, which results in the visibility of cathode rays Galvanómetro Galvanómetro balístico Kathodenstrahlröhre in German Measuring current with a DMM Measuring voltage with a DMM Mesure de déphasage en Français Mesures de puissance en Français Multimeter Multimeter Stroboscope en Français Thermomètre à diode en Français Thermomètre à résistance de platine en Français Universeel meter in Dutch Wet van Ohm in Dutch Superheterodyne spectrum analyzer a spectrum analyzer is an extremely useful measurement tool that can show, in the frequency domain, information not readily recognizable with a time domain instrument such as an oscilloscope. For example, the frequency content of a signal (e.g. a fundamental sinusoid and one or more harmonic components) is readily identified with a spectrum analyzer

38. L Index Lindemann, Ferdinand von (198*) Linnik, Iurii (273*) Lions, PierreLouis (745*) Liouville,Joseph (1968*) Lipschitz, Rudolf (95*) lissajous, jules (234) Listing http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/L.htm

Names beginning with L The number of words in the biography is given in brackets. A * indicates that there is a portrait. , Guillaume de (204*) La Condamine , Charles de (480*) La Faille , Charles de (233) La Hire , Philippe de (297) La Roche , Estienne de (275) , C de (382*) Lacroix , Sylvestre (254) Lagny , Thomas de (186*) Lagrange , Joseph-Louis (384*) Laguerre , Edmond (111*) Lakatos , Imre (1145*) Lamb , Horace (772*) Lambert , Johann (227*) , Gabriel (130*) Lamy , Bernard (273) Lanczos , Cornelius (834*) Landau , Edmund (474*) Landau, Lev Davidovich (226*) Landen , John (238) Landsberg , Georg (264) Lansberge , Philip van (243) Laplace , Pierre-Simon (445*) Larmor , Sir Joseph (151*) Lasker , Emanuel (339*) Laurent, Hermann Laurent, Pierre Lavanha , Joao (180) Lavrentev , Mikhail (341*) Lax , Gaspar (147) , Jean (90) Le Paige , Constantin (314*) Le Tenneur , Jacques (249) Le Verrier , Urbain (450*) Lebesgue , Henri (313*) Leech , John (582*) Leffler , Magnus Mittag- (829*) Lefschetz , Solomon (494*) Legendre , Adrien-Marie (273*) , Emile (186) Leibniz , Gottfried von (539*) Lemoine , Emile (605*) Leonardo da Vinci (704*) Lerch , Mathias (470*) Leshniewski , Stanislaw (139*) Leslie , John (99) Leucippus Levi ben Gerson (268) Levi-Civita , Tullio (418*) Levinson , Norman (332) Levy, Hyman

39. Hollis: Differential Equations Hôpital, Guillaume de Lagrange, JosephLouis Laplace, Pierre-Simon Legendre, Adrien-MarieLiouville, Joseph Lipschitz, Rudolf lissajous, jules Lorenz, Edward N http://www.math.armstrong.edu/faculty/hollis/dewbvp/

Differential Equations with Boundary Value Problems by Selwyn Hollis Contents and Preface Marketing Blurb Book Site @ Prentice Hall ... QuickTime Movies Technology Mathematica Maple Java M ... ATLAB Sundry Items Problem graphics and extra graphical problems for Section 3.1. Please send bug reports here Professors: Please send me an email Some Biographical References The following are links to information on most of the mathematicians/scientists whose names appear in the book. Unless otherwise noted, each of these is a link to the MacTutor History of Mathematics Archive at the University of St Andrews, Scotland. Abel, Niels Henrik Airy, George Banach, Stefan Bendixson, Ivar ... Edelstein-Keshet, Leah (U. BC) Euler, Leonhard Fourier, Joseph Frobenius, Georg Gauss, Carl Friedrich ... Hertz, Heinrich Rudolf (Google search) Hodgkin, Alan Nature Hooke, Robert Huxley, Andrew (sfn.org) Jacobi, Carl Jordan, Camille Kirchhoff, Gustav Kutta, Martin Wilhelm ... Lorenz, Edward N. (xrefer.com) Lotka, Alfred (Google search) Lyapunov, Aleksandr Maclaurin, Colin Malthus, Thomas (Google search) Menten, Maud

40. La Matematica, La Geometria, L'analisi Per Chi Voglia Ripartire Da Zero lissajous (jules Antoine fisico francese (1822-1880) (curve di ) V-325 V http://spazioinwind.libero.it/corradobrogi/indicel.htm

Inizio: Volume: Corrado Brogi Indice Enciclopedico Indice: A B C D ... Z Labile (struttura) VI-101 VI-102 LAGRANGE (Giuseppe Luigi (1736-1813) n.a Torino m.a Parigi fece studi fondamentali nei vari rami della Matematica e della meccanica. " (coordinate di) VI-235 " (equazioni differenziale) III-440 " (funzione di) ( L=L (q//t) " (metodo dei moltiplicatori ) III-403 " ( " delle variaz. delle cost.) III-489 III-493 " (teorema di) I-367 " (termine complementare) II-148 Lagrangiana (funzione) LAGUERRE Edmond (1834-1886) matematico francese) " (equazione di) LAMBERT Johann Heinrich (1728-1777) matematico e fisico n.a Mülhausen Germania è considerato un precursore delle geometrie non euclidee, fece studi di ottica. II-170 " (proiezioni di) IV-57 LAME' (Gabriele (1795-1870) matematico francese) studioso di teoria dell'elasticità. " (curve di) V-336 " (ellissoide delle tensioni) VI-332 LAPLACE (Pierre Simon (1749-1827) matematico francese) uno dei più grandi scienziati napoleonici, compì studi di meccanica celeste.

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