81. Encyclogram: Pictures The harmonograph was pioneered by the French physicist, jules AntoineLissajous in 1857. The first harmonograph actually used a http://kosmoi.com/Science/Mathematics/Graphs/Encyclo/more.shtml

EncycloZine Astronomy Biology Chemistry ... The Golden Ratio : The Story of PHI, the World's Most Astonishing Number MARIO LIVIO Sir Cumference and the Dragon of Pi: A Math Adventure Cindy Neuschwander, Wayne Geehan Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics John Derbyshire Geometry and Trigonometry for Calculus Peter H. Selby Sir Cumference and the Great Knight of Angleland: A Math Adventure Cindy Neuschwander, Wayne Geehan Sir Cumference and the First Round Table: A Math Adventure Cindy Neuschwander, Wayne Geehan Sacred Geometry: Philosophy and Practice Robert Lawlor Calculus With Analytic Geometry, Seventh Edition Bruce H. Edwards, Ron Larson, Robert Hostetler The Divine Proportion H. E. Huntley Recommendation: Geometry for Dummies Wendy Arnone Encyclogram About Us A - Z Site Map Top Pages ... Pictures by AR Harmonographs, Spirographs, and Lissajous Figures Encyclogram draws harmonographs, spirographs , and Lissajous figures . The decaying motion of the plot fills in the shapes with their spiralling-in echo. Encyclogram can also draw the curves in varying colors against a black background, resulting in breath-taking works of art that can be as beautiful as fractals . See the gallery of examples Harmonographs are mathematically the sums of several harmonic motions in the x and y directions, decayed over time. If the decay is removed, and there are only two harmonic motions (sinusoids), one in x and one in y, then the graphs are

82. Lissajous Lab The summary for this Greek page contains characters that cannot be correctly displayed in this language/character set. http://www.ete.gr/Teams/lissajous/

ÅñãáóôÞñé Lissajous Download Center Download the screen saver: ÐáôÞóôå óôï ðëÞêôñï áñéóôåñÜ ãéá íá êáôåâÜóåôå ôïí Lissajous screen saver. Ëåéôïõñãåß ìüíïí ãéá PC's ìå Windows 95/98/NT. Ó÷Þìáôá Lissajous Ôá ó÷Þìáôá Lissajous (ðñïöÝñïíôáé LEE-suh-zhoo ) áíáêáëýöèçêáí áðü ôï Üëëï öõóéêü Jules Antoine Lissajous. ×ñçóéìïðïéïýóå Þ÷ïõò äéáöïñåôéêþí óõ÷íïôÞôùí ãéá íá óõíôïíßóåé Ýíá êáèñÝðôç. Ìéá äÝóìç áðü áíáêëþìåíï öùò ôïõ êáèñÝðôç, áíß÷íåõå ó÷Þìáôá ðïõ Þôáí åîáñôçìÝíá áðü ôéò óõ÷íüôçôåò ôùí Þ÷ùí. Ï ôñüðïò ôïõ Lissajous' Þôáí ðáñüìïéïò ìå ôç óõóêåõÞ ðïõ ÷ñçóéìïðïéåßôáé êáé óÞìåñá ãéá ôçí ðñïâïëÞ óå shows ìå äÝóìåò áêôßíùí laser. Ðñéí ôùí çìåñþí ôùí øçöéáêþí ïñãÜíùí óõ÷íüôçôáò êáé phase-locked loops, ôá ó÷Þìáôá Lissajous ÷ñçóéìïðïéÞèçêáí ãéá ôïí ðñïóäéïñéóìü ôùí óõ÷íïôÞôùí Þ÷ùí Þ ñáäéïöùíéêþí óçìÜôùí. Ìéá ãíùóôÞ óõ÷íüôçôá åöáñìïæüôáí óôïí ïñéæüíôéï Üîïíá åíüò ðáëìïãñÜöïõ êáé ôï ìåôñïýìåíï óÞìá åöáñìïæüôáí óôï êÜèåôï Üîïíá. Ôá åìöáíéæüìåíá ó÷Þìáôá Þôáí óõíÜñôçóç ôçò áíáëïãßáò ôùí äýï óõ÷íïôÞôùí. Ôá ó÷Þìáôá Lissajous åìöáíßóôçêáí óõ÷íÜ ùò õðïóôÞñéãìá óå ôáéíßåò åðéóôçìïíéêÞò öáíôáóßáò. ¸íá ðáñÜäåéãìá ôçò óåéñÜò

83. Tobias Preußer - Java-Applets Translate this page Schwingungen sich überlagern. Sie wurden zuerst von jules Antoine Lissajousin Paris 1857 beobachtet. Lesen Sie mehr darüber! Minesweeper. http://cips02.physik.uni-bonn.de/~preusser/applets/applets.html

Java-Applets Lissajous-Figuren Dieses Applet zeigt sogenannte Lissajous - Figuren Minesweeper Building Blocks Tetris® is a trademark of "The Tetris Company". Stadtplan zur Homepage. Document last modified on (preusser@cips02.physik.uni-bonn.de) 1996 Acess statistics by Nedstat

84. À§´ëÇѼöÇÐÀÚ ¸ñ·Ï Germany (now Kaliningrad, Russia) Died 7 Oct 1903 in Bonn, Germany lissajous, JulesAntoine lissajous Born 4 March 1822 in Versailles, France Died 24 June http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=L

85. Wikino - Alle Artikel - Lexikon jules Dumont d’Urville. http://www.wikino.net/de/index.php?title=Spezial:Allpages&from=Joseph_Alexandre_

86. Biography-center - Letter L Liss, Johann www.kfki.hu/~arthp/bio/l/liss/biograph.html; lissajous, Juleswwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/lissajous.html; http://www.biography-center.com/l.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish L 567 biographies www-history.mcs.st-and.ac.uk/~history/Mathematicians/Leger.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Levy_Paul.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Lowenheim.html L'Estin, Jacques de www.kfki.hu/~arthp/bio/l/l_estin/biograph.html L'Herbier, Marcel www.lips.org/bio_LHerbier_gb.asp La Caille, Nicolas-Louis www.astrosurf.com/cielextreme/page115E.html La Condamine, Charles de www-history.mcs.st-and.ac.uk/~history/Mathematicians/La_Condamine.html La Faille, Charles de www-history.mcs.st-and.ac.uk/~history/Mathematicians/La_Faille.html La Fontaine, Henri www.nobel.se/peace/laureates/1913/fontaine-bio.html La Fosse, Charles de www.ibiblio.org/wm/paint/auth/la-fosse/ La Fosse, Charles de

87. Lissajous-Figur - Definition Bedeutung Info - Mehr Wissen über Die Welt Mensche Translate this page Sie sind benannt nach ihrem Entdecker, dem französischen Physiker JulesAntoine lissajous (1822-1880). In jüngerer Zeit spielten http://www.definition-info.de/Lissajous-Figur.html

Hauptseite Quelltext betrachten Versionen Druckversion Nicht angemeldet: Anmelden Impressum Navigation Hauptseite Zufälliger Artikel Aktueller Artikel Quelltext betrachten Diskussion Versionen Links auf diese Seite ... Verlinkte Seiten Lissajous-Figur Definition Bedeutung Info Lissajous-Figuren sind Kurvengraphen, die durch Überlagerung harmonischer Schwingungen entstehen. Sie sind benannt nach ihrem Entdecker, dem französischen Physiker Jules Antoine Lissajous ). In jüngerer Zeit spielten sie zum Beispiel bei der Untersuchung von Wechselströmen mit Hilfe des Oszilloskops eine Rolle. Mathematische Präzisierung Mathematisch handelt es sich um parametrische Schaubilder von Funktionen der Form Diese Funktionen sind genau dann periodisch , wenn das Frequenzverhältnis rational ist. Dann schließt sich die Kurve bereits bei endlichem t Die Amplituden A x und A y skalieren die Figuren lediglich horizontal beziehungsweise vertikal. Ansonsten hängt das Erscheinungsbild der Graphen nur noch vom Frequenzverhältnis v und der Phasendifferenz ab.

88. Science And Society Picture Library Credit Science Museum/Science Society Picture Library Keywords PersonalitiesLissajous, jules Man Men French Physics Physicists Vibration Microscope http://www.nmsi.ac.uk/piclib/imagerecord.asp?id=10302028

89. MIT Lincoln Laboratory - MIT Lincoln Laboratory Logo Lincoln Laboratory Logo The lissajous figures, named for the French mathematicianJulesAntoine lissajous, are also known as Bowditch curves after their http://www.ll.mit.edu/about/lissajous.html

Lincoln Laboratory Logo The Lissajous figures , named for the French mathematician Jules-Antoine Lissajous , are also known as Bowditch curves after their discoverer, Nathaniel Bowditch , the mathematician from Salem, Massachusetts. The history that follows is taken from MIT Lincoln Laboratory: Technology in the National Interest , ed. Eva C. Freeman. Lexington, Mass.: MIT Lincoln Laboratory, 1995. The MIT Lincoln Laboratory Logo, which first appeared in February 1958 in the Lincoln Laboratory Bulletin, was conceived by Carl Overhage, the Laboratory's fourth director. Overhage drew a Lissajous figure based on the superposition of two simple harmonic vibrations and commissioned retired Brigader General Robert Steinle and the firm Advertising Designers of Los Angeles to transform the Lissajous figure into an artistic image. The two L's rotated 180 degrees with respect to each other stand for Lincoln Laboratory. They form a rectangle enclosing the Lissajous figure generated by the parametric equations x = 3 sin(8 pi t/T) and y = 4 sin(6 pi t/T). The figure is traced along the horizontal axis x and the vertical axis y as the variable t progresses from t = to T.

90. Harmonograph The harmongraph was pioneered by the French physicist, jules AntoineLissajous in 1857. The first harmonograph actually used a light http://astronomy.swin.edu.au/~pbourke/curves/harmonograph/

Harmonograph Written by Paul Bourke Contribution by Rick and Richard Speir August 1999, Updated July 2002 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 The harmongraph was pioneered by the French physicist, Jules Antoine Lissajous in 1857. The first harmonograph actually used a light beam on a screen instead of the pens on paper that are used today. 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. Another device also called an harmonograph since it produces the same essential motion is based upon a platform suspended by each corner. The platform can be swung and twisted and a stationary pen draws a trace on some paper attached to the platform. Weights are often located at various positions on the table to produce different oscillatory patterns. One of the largest harmonographs of this kind can be found in the Science Centre and Planetarium, Wollongong, Australia. Andrew Purdam has produced equations that allow one to explore the beauty of the harmongraph without building one....not that building one is any less satisfying. His equations are:

91. L Laar, Mart Estonian polit. reformer; prime min. of Estonia 1992 _1960 La Bruyere, Jean de Fr. moralist _16451696 Lacalle, Luis Alberto Uruguayan polit.; pres. http://ftp.std.com/obi/Biographical/biog_dict.l

92. Univers Primordial et développa une méthode optique pour l étude des mouvements vibratoires. http://membres.lycos.fr/jcboulay/astro/sommaire/astronomie/univers/page_univers2

Univers primordial Pour comprendre l' Univers primordial, WMAP, sonde au regard perçant, a examiné les fluctuations de l'horizon cosmologique. De ses informations, l'âge, la géométrie et l'évolution de l'Univers se révèlent à nous. Pour rechercher dans cette page sinon voir "recherche" dans le menu ci-contre. L'orthographe et les accents ont de l'importance. Si le mot trouvé ne vous convient pas, appuyez à nouveau sur "rechercher". La recherche s'incrémentera sur le 2ième mot et ainsi de suite. Essayez avec univers. Mission de WMAP Trajectoire vers L2 Résolution angulaire Taille du grumeau Soupe primordiale Fluctuations du rayonnement fossile Géométrie de l'Univers Nombre d'électrons Mesure de la matière contenue Polarisation du rayonnement fossile Nucléosynthèse dans l'Univers primordial Expansion de l'Univers Preuves et démenti Point de vue de Mr Magnan Fin de l'Univers Puzzle de physicien Mission de WMAP http://map.gsfc.nasa.gov/ContentMedia/L2_990425_72.jpg

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