"955346275"^^ . . . . "Een harmonograaf is een mechanisch instrument om twee onafhankelijke - maar op elkaar lijkende - trillingen op de x-as en de y-as van een grafiek uit te zetten. De figuren die zo ontstaan, worden Lissajousfiguren genoemd."@nl . "A harmonograph is a mechanical apparatus that employs pendulums to create a geometric image. The drawings created typically are Lissajous curves or related drawings of greater complexity. The devices, which began to appear in the mid-19th century and peaked in popularity in the 1890s, cannot be conclusively attributed to a single person, although Hugh Blackburn, a professor of mathematics at the University of Glasgow, is commonly believed to be the official inventor. A simple, so-called \"lateral\" harmonograph uses two pendulums to control the movement of a pen relative to a drawing surface. One pendulum moves the pen back and forth along one axis, and the other pendulum moves the drawing surface back and forth along a perpendicular axis. By varying the frequency and phase of the pendulums relative to one another, different patterns are created. Even a simple harmonograph as described can create ellipses, spirals, figure eights and other Lissajous figures. More complex harmonographs incorporate three or more pendulums or linked pendulums together (for example, hanging one pendulum off another), or involve rotary motion, in which one or more pendulums is mounted on gimbals to allow movement in any direction. A particular type of harmonograph, a pintograph, is based on the relative motion of two rotating disks, as illustrated in the links below (as opposed to a pantograph, a mechanical device used to enlarge figures)."@en . . . . . . . "\u30CF\u30FC\u30E2\u30CE\u30B0\u30E9\u30D5"@ja . . . "Um harmon\u00F3grafo \u00E9 um aparato mec\u00E2nico que utiliza p\u00EAndulos para criar imagens geom\u00E9tricas. Os desenhos criados normalmente s\u00E3o curvas de Lissajous, ou at\u00E9 mesmo desenhos de maior complexidade. Os dispositivos, que come\u00E7aram a aparecer em meados do s\u00E9culo XIX e alcan\u00E7aram popularidade por volta de 1890, n\u00E3o podem ser conclusivamente atribu\u00EDdos a uma \u00FAnica pessoa, embora Hugh Blackburn, um professor de matem\u00E1tica na Universidade de Glasgow, comumente se acredita ser o inventor oficial. Um harmon\u00F3grafo simples, chamado de harmon\u00F3grafo \"lateral\", usa dois p\u00EAndulos para controlar o movimento de uma caneta em rela\u00E7\u00E3o a uma superf\u00EDcie de desenho. Um p\u00EAndulo move a caneta para tr\u00E1s e para frente ao longo de um eixo e outro p\u00EAndulo move a superf\u00EDcie de desenho para tr\u00E1s e para frente, ao longo de um eixo perpendicular. Variando a freq\u00FC\u00EAncia e a fase de p\u00EAndulos em rela\u00E7\u00E3o ao outro, diferentes padr\u00F5es s\u00E3o criados. At\u00E9 mesmo um simples harmon\u00F3grafo como descrito pode criar elipses, espirais, figura oito e outras figuras de Lissajous. Harmon\u00F3grafos mais complexos incorporaram tr\u00EAs ou mais p\u00EAndulos ou conjunto de p\u00EAndulos (por exemplo, pendurar um p\u00EAndulo fora de outro), ou que envolvam movimento de rota\u00E7\u00E3o em que um ou mais p\u00EAndulos s\u00E3o montados em balan\u00E7os para permitir o movimento em qualquer dire\u00E7\u00E3o. Um tipo particular de harmon\u00F3grafo, um pant\u00F3grafo, \u00E9 baseado no movimento relativo de dois discos rotativos, conforme ilustrado nos links abaixo."@pt . . . . . . . . . . . . "Harmonograaf"@nl . "Un armon\u00F3grafo es un aparato mec\u00E1nico que utiliza p\u00E9ndulos para crear una imagen geom\u00E9trica. Los dibujos creados son curva de Lissajous, figuras que fueron investigadas por Nathaniel Bowditch en 1815 y despu\u00E9s, con mayor detalle, por el matem\u00E1tico y f\u00EDsico franc\u00E9s Jules Antoine Lissajous al intentar hacer visible el movimiento vibratorio provocado por el sonido en un diapas\u00F3n. En el experimento original, Lissajous cre\u00F3 un dispositivo formado por dos diapasones de distintas frecuencias de vibraci\u00F3n y coloc\u00F3 un espejo peque\u00F1o sobre cada diapas\u00F3n. Luego coloc\u00F3 el conjunto de forma que un rayo de luz se reflejase, sucesivamente, en ambos espejos antes de proyectarse sobre una pantalla. La imagen que aparece en la pantalla (con apariencia de continuidad, dada su persistencia en la retina del espectador) es la figura. Este aparato fue el antecesor de los armon\u00F3grafos. Los armon\u00F3grafos, comenzaron a aparecer a mediados de siglo XIX y alcanzaron su punto m\u00E1ximo de popularidad en la d\u00E9cada de 1890. Si bien su invenci\u00F3n no puede ser atribuida a una sola persona, se adjudica su invenci\u00F3n oficial a , profesor de matem\u00E1ticas en la Universidad de Glasgow. Un armon\u00F3grafo lateral sencillo, utiliza dos p\u00E9ndulos para controlar el movimiento de una pluma en relaci\u00F3n con una superficie plana donde dibuja. Un p\u00E9ndulo mueve la pluma de un lado a otro a lo largo de un eje y el otro p\u00E9ndulo mueve la superficie de dibujo de ida y vuelta a lo largo de un eje perpendicular a la pluma. Al variar la frecuencia y la fase de los p\u00E9ndulos, se crean diferentes patrones. Incluso un armon\u00F3grafo simple, como se describe, puede crear elipses, espirales, ochos y otras figuras de Lissajous. Los armon\u00F3grafos m\u00E1s complejos, pueden incorporar tres o m\u00E1s p\u00E9ndulos unidos entre s\u00ED y dibujar figuras m\u00E1s complejas. Un programa inform\u00E1tico adecuado puede convertir las ecuaciones de movimiento de los p\u00E9ndulos en una gr\u00E1fica y emular los dibujos producidos por un armon\u00F3grafo."@es . . . . "Ein Harmonograph ist ein mechanisches Ger\u00E4t, das zwei \u00FCberlagerte harmonische Schwingungen in einen Kurvengraphen (eine Lissajous-Figur) umsetzt. Harmonographen dienen vorwiegend zur Demonstration und Technikvermittlung. Technische Anwendungen haben sie im Unterschied zum Oszilloskop, mit denen oft neben Anderem auch Lissajous-Figuren gezeigt werden, kaum. Ein h\u00E4ufig angewendeter einfacher Aufbau ist das Zeichnen mittels eines an einer pendelnden Masse befestigten Stiftes in eine Sandfl\u00E4che, \u00FCber der die Masse mit Stift pendelt. Will man zwei Schwingungen mit unterschiedlicher Frequenz kombinieren, kann man den Sand auf einem ebenfalls pendelnden Teller aufbringen. M\u00F6glich ist auch, die Spur mit aus der pendelnden Masse ausrinnendem Sand (linkes Bild) oder Tinte zu zeichnen, wobei die Schwingungen weniger gebremst werden. Andere Harmonographen benutzen einen auf Papier zeichnenden Schreibstift."@de . . . "Harmon\u00F3grafo"@pt . . "442024"^^ . . . . . . . . . "Un armon\u00F3grafo es un aparato mec\u00E1nico que utiliza p\u00E9ndulos para crear una imagen geom\u00E9trica. Los dibujos creados son curva de Lissajous, figuras que fueron investigadas por Nathaniel Bowditch en 1815 y despu\u00E9s, con mayor detalle, por el matem\u00E1tico y f\u00EDsico franc\u00E9s Jules Antoine Lissajous al intentar hacer visible el movimiento vibratorio provocado por el sonido en un diapas\u00F3n."@es . "Un armonografo \u00E8 un'apparecchiatura meccanica che si serve di pendoli per tracciare delle figure. Un tale meccanismo permette di tracciare le figure di Lissajous e anche curve pi\u00F9 complesse. Queste apparecchiature sono comparse nel XIX secolo e sono attribuiti al francese Jules Antoine Lissajous (1822-1880). Sono stati costruiti anche armonografi piuttosto complessi che incorporano tre o pi\u00F9 pendoli o pendoli collegati, ad esempio un pendolo appeso ad un altro pendolo."@it . . . . "Harmonograph"@en . . . "Um harmon\u00F3grafo \u00E9 um aparato mec\u00E2nico que utiliza p\u00EAndulos para criar imagens geom\u00E9tricas. Os desenhos criados normalmente s\u00E3o curvas de Lissajous, ou at\u00E9 mesmo desenhos de maior complexidade. Os dispositivos, que come\u00E7aram a aparecer em meados do s\u00E9culo XIX e alcan\u00E7aram popularidade por volta de 1890, n\u00E3o podem ser conclusivamente atribu\u00EDdos a uma \u00FAnica pessoa, embora Hugh Blackburn, um professor de matem\u00E1tica na Universidade de Glasgow, comumente se acredita ser o inventor oficial."@pt . . . . . . . . . . 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"Ein Harmonograph ist ein mechanisches Ger\u00E4t, das zwei \u00FCberlagerte harmonische Schwingungen in einen Kurvengraphen (eine Lissajous-Figur) umsetzt. Harmonographen dienen vorwiegend zur Demonstration und Technikvermittlung. Technische Anwendungen haben sie im Unterschied zum Oszilloskop, mit denen oft neben Anderem auch Lissajous-Figuren gezeigt werden, kaum."@de . . . . . . . "\u0413\u0430\u0440\u043C\u043E\u043D\u043E\u0433\u0440\u0430\u0444 (\u0430\u043D\u0433\u043B. Harmonograph) \u2014 \u043C\u0435\u0445\u0430\u043D\u0456\u0447\u043D\u0438\u0439 \u043F\u0440\u0438\u0441\u0442\u0440\u0456\u0439, \u0449\u043E \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u043C\u0430\u044F\u0442\u043D\u0438\u043A\u0438 \u0434\u043B\u044F \u0441\u0442\u0432\u043E\u0440\u0435\u043D\u043D\u044F \u0433\u0435\u043E\u043C\u0435\u0442\u0440\u0438\u0447\u043D\u0438\u0445 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u044C. \u041E\u0442\u0440\u0438\u043C\u0430\u043D\u0456 \u0440\u0438\u0441\u0443\u043D\u043A\u0438, \u044F\u043A \u043F\u0440\u0430\u0432\u0438\u043B\u043E, \u043D\u0430\u043B\u0435\u0436\u0430\u0442\u044C \u0434\u043E \u043A\u043B\u0430\u0441\u0443 \u0444\u0456\u0433\u0443\u0440 \u041B\u0456\u0441\u0430\u0436\u0443, \u0430\u0431\u043E \u043F\u043E\u0445\u0456\u0434\u043D\u0456 \u0432\u0456\u0434 \u043D\u0438\u0445 \u0431\u0456\u043B\u044C\u0448\u043E\u0457 \u0441\u043A\u043B\u0430\u0434\u043D\u043E\u0441\u0442\u0456. \u041F\u0440\u0438\u0441\u0442\u0440\u043E\u0457 \u0434\u043B\u044F \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u043D\u044F \u0440\u0438\u0441\u0443\u043D\u043A\u0456\u0432 \u043F\u043E\u0447\u0430\u043B\u0438 \u0437'\u044F\u0432\u043B\u044F\u0442\u0438\u0441\u044F \u0432 \u0441\u0435\u0440\u0435\u0434\u0438\u043D\u0456 19-\u0433\u043E \u0441\u0442\u043E\u043B\u0456\u0442\u0442\u044F \u0456 \u0434\u043E\u0441\u044F\u0433\u043B\u0430 \u0441\u0432\u043E\u0433\u043E \u043F\u0456\u043A\u0443 \u043F\u043E\u043F\u0443\u043B\u044F\u0440\u043D\u043E\u0441\u0442\u0456 \u0432 1890-\u0445 \u0440\u043E\u043A\u0430\u0445. \u0410\u0432\u0442\u043E\u0440\u0441\u0442\u0432\u043E \u043A\u043E\u043D\u0441\u0442\u0440\u0443\u043A\u0446\u0456\u0457 \u0442\u0430\u043A\u0438\u0445 \u043F\u0440\u0438\u0441\u0442\u0440\u043E\u0457\u0432 \u043D\u0435 \u043C\u043E\u0436\u0435 \u0431\u0443\u0442\u0438 \u043E\u0441\u0442\u0430\u0442\u043E\u0447\u043D\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0435, \u0430\u043B\u0435 \u043E\u0434\u043D\u0438\u043C \u0437 \u043F\u0435\u0440\u0448\u0438\u0445 \u0434\u0430\u043D\u0443 \u043A\u043E\u043D\u0441\u0442\u0440\u0443\u043A\u0446\u0456\u044E \u0437\u0430\u043F\u0440\u043E\u043F\u043E\u043D\u0443\u0432\u0430\u0432 , \u043F\u0440\u043E\u0444\u0435\u0441\u043E\u0440 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438 \u0423\u043D\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0443 \u0413\u043B\u0430\u0437\u0433\u043E. \u0421\u043A\u043B\u0430\u0434\u043D\u0456\u0448\u0456 \u0433\u0430\u0440\u043C\u043E\u043D\u043E\u0433\u0440\u0430\u0444\u0438 \u043C\u0430\u044E\u0442\u044C \u0442\u0440\u0438 \u0430\u0431\u043E \u0431\u0456\u043B\u044C\u0448\u0435 \u043F\u043E\u0432'\u044F\u0437\u0430\u043D\u0438\u0445 \u043C\u0430\u044F\u0442\u043D\u0438\u043A\u0456\u0432."@uk . . "\u0413\u0430\u0440\u043C\u043E\u043D\u043E\u0433\u0440\u0430\u0444 (\u0430\u043D\u0433\u043B. Harmonograph) \u2014 \u043C\u0435\u0445\u0430\u043D\u0456\u0447\u043D\u0438\u0439 \u043F\u0440\u0438\u0441\u0442\u0440\u0456\u0439, \u0449\u043E \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u043C\u0430\u044F\u0442\u043D\u0438\u043A\u0438 \u0434\u043B\u044F \u0441\u0442\u0432\u043E\u0440\u0435\u043D\u043D\u044F \u0433\u0435\u043E\u043C\u0435\u0442\u0440\u0438\u0447\u043D\u0438\u0445 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u044C. \u041E\u0442\u0440\u0438\u043C\u0430\u043D\u0456 \u0440\u0438\u0441\u0443\u043D\u043A\u0438, \u044F\u043A \u043F\u0440\u0430\u0432\u0438\u043B\u043E, \u043D\u0430\u043B\u0435\u0436\u0430\u0442\u044C \u0434\u043E \u043A\u043B\u0430\u0441\u0443 \u0444\u0456\u0433\u0443\u0440 \u041B\u0456\u0441\u0430\u0436\u0443, \u0430\u0431\u043E \u043F\u043E\u0445\u0456\u0434\u043D\u0456 \u0432\u0456\u0434 \u043D\u0438\u0445 \u0431\u0456\u043B\u044C\u0448\u043E\u0457 \u0441\u043A\u043B\u0430\u0434\u043D\u043E\u0441\u0442\u0456. \u041F\u0440\u0438\u0441\u0442\u0440\u043E\u0457 \u0434\u043B\u044F \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u043D\u044F \u0440\u0438\u0441\u0443\u043D\u043A\u0456\u0432 \u043F\u043E\u0447\u0430\u043B\u0438 \u0437'\u044F\u0432\u043B\u044F\u0442\u0438\u0441\u044F \u0432 \u0441\u0435\u0440\u0435\u0434\u0438\u043D\u0456 19-\u0433\u043E \u0441\u0442\u043E\u043B\u0456\u0442\u0442\u044F \u0456 \u0434\u043E\u0441\u044F\u0433\u043B\u0430 \u0441\u0432\u043E\u0433\u043E \u043F\u0456\u043A\u0443 \u043F\u043E\u043F\u0443\u043B\u044F\u0440\u043D\u043E\u0441\u0442\u0456 \u0432 1890-\u0445 \u0440\u043E\u043A\u0430\u0445. \u0410\u0432\u0442\u043E\u0440\u0441\u0442\u0432\u043E \u043A\u043E\u043D\u0441\u0442\u0440\u0443\u043A\u0446\u0456\u0457 \u0442\u0430\u043A\u0438\u0445 \u043F\u0440\u0438\u0441\u0442\u0440\u043E\u0457\u0432 \u043D\u0435 \u043C\u043E\u0436\u0435 \u0431\u0443\u0442\u0438 \u043E\u0441\u0442\u0430\u0442\u043E\u0447\u043D\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0435, \u0430\u043B\u0435 \u043E\u0434\u043D\u0438\u043C \u0437 \u043F\u0435\u0440\u0448\u0438\u0445 \u0434\u0430\u043D\u0443 \u043A\u043E\u043D\u0441\u0442\u0440\u0443\u043A\u0446\u0456\u044E \u0437\u0430\u043F\u0440\u043E\u043F\u043E\u043D\u0443\u0432\u0430\u0432 , \u043F\u0440\u043E\u0444\u0435\u0441\u043E\u0440 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438 \u0423\u043D\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0443 \u0413\u043B\u0430\u0437\u0433\u043E. \u041F\u0440\u043E\u0441\u0442\u0438\u0439 \u0433\u0430\u0440\u043C\u043E\u043D\u043E\u0433\u0440\u0430\u0444 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0434\u0432\u0430 \u043C\u0430\u044F\u0442\u043D\u0438\u043A\u0438, \u0449\u043E\u0431 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u044E\u0432\u0430\u0442\u0438 \u043F\u0435\u0440\u0435\u043C\u0456\u0449\u0435\u043D\u043D\u044F \u043F\u0435\u0440\u0430 \u0432\u0456\u0434\u043D\u043E\u0441\u043D\u043E \u0434\u043E \u043F\u043E\u0432\u0435\u0440\u0445\u043D\u0456 \u0440\u0438\u0441\u0443\u043D\u043A\u0430. \u041E\u0434\u0438\u043D \u043C\u0430\u044F\u0442\u043D\u0438\u043A \u043F\u0435\u0440\u0435\u043C\u0456\u0449\u0443\u0454 \u043F\u0435\u0440\u043E \u043D\u0430\u0437\u0430\u0434 \u0456 \u0432\u043F\u0435\u0440\u0435\u0434 \u0443\u0437\u0434\u043E\u0432\u0436 \u043E\u0434\u043D\u0456\u0454\u0457 \u043E\u0441\u0456, \u0456\u043D\u0448\u0438\u0439 \u2014 \u0437\u043C\u0456\u0449\u0443\u0454 \u043F\u043E\u0432\u0435\u0440\u0445\u043D\u044E \u0440\u0438\u0441\u0443\u0432\u0430\u043D\u043D\u044F \u0443\u0437\u0434\u043E\u0432\u0436 \u043F\u0435\u0440\u043F\u0435\u043D\u0434\u0438\u043A\u0443\u043B\u044F\u0440\u043D\u043E\u0457 \u0434\u043E \u043F\u0435\u0440\u0448\u043E\u0433\u043E \u043E\u0441\u0456. \u0417\u043C\u0456\u043D\u044E\u044E\u0447\u0438 \u0447\u0430\u0441\u0442\u043E\u0442\u0443 \u0456 \u0444\u0430\u0437\u0438 \u043C\u0430\u044F\u0442\u043D\u0438\u043A\u0456\u0432 \u0432\u0456\u0434\u043D\u043E\u0441\u043D\u043E \u043E\u0434\u0438\u043D \u043E\u0434\u043D\u043E\u0433\u043E, \u043E\u0442\u0440\u0438\u043C\u0443\u044E\u0442\u044C \u0440\u0456\u0437\u043D\u0456 \u0440\u0438\u0441\u0443\u043D\u043A\u0438. \u0421\u043A\u043B\u0430\u0434\u043D\u0456\u0448\u0456 \u0433\u0430\u0440\u043C\u043E\u043D\u043E\u0433\u0440\u0430\u0444\u0438 \u043C\u0430\u044E\u0442\u044C \u0442\u0440\u0438 \u0430\u0431\u043E \u0431\u0456\u043B\u044C\u0448\u0435 \u043F\u043E\u0432'\u044F\u0437\u0430\u043D\u0438\u0445 \u043C\u0430\u044F\u0442\u043D\u0438\u043A\u0456\u0432. \u041E\u0441\u043E\u0431\u043B\u0438\u0432\u0438\u0439 \u0442\u0438\u043F \u0433\u0430\u0440\u043C\u043E\u043D\u043E\u0433\u0440\u0430\u0444\u0430, , \u0437\u0430\u0441\u043D\u043E\u0432\u0430\u043D\u0438\u0439 \u043D\u0430 \u0432\u0456\u0434\u043D\u043E\u0441\u043D\u043E\u043C\u0443 \u0440\u0443\u0441\u0456 \u0434\u0432\u043E\u0445 \u043E\u0431\u0435\u0440\u0442\u043E\u0432\u0438\u0445 \u0434\u0438\u0441\u043A\u0456\u0432."@uk . . "A harmonograph is a mechanical apparatus that employs pendulums to create a geometric image. The drawings created typically are Lissajous curves or related drawings of greater complexity. The devices, which began to appear in the mid-19th century and peaked in popularity in the 1890s, cannot be conclusively attributed to a single person, although Hugh Blackburn, a professor of mathematics at the University of Glasgow, is commonly believed to be the official inventor."@en . "Armon\u00F3grafo"@es . "Harmonograph"@de . . . . "Een harmonograaf is een mechanisch instrument om twee onafhankelijke - maar op elkaar lijkende - trillingen op de x-as en de y-as van een grafiek uit te zetten. De figuren die zo ontstaan, worden Lissajousfiguren genoemd. Het toestel werd in het midden van de 19e eeuw gelijktijdig ontwikkeld door verscheidene personen waaronder Jules Antoine Lissajous zelf. Meestal wordt Hugh Blackburn, een wiskundedocent aan de Universiteit van Glasgow, gezien als de ontwikkelaar van het toestel. De harmonograaf werd gebruikt tot in de 20e eeuw maar werd al snel verdrongen door de oscilloscoop. Tegenwoordig worden harmonografen enkel nog gebruikt om demonstraties te geven. Technische toepassingen heeft het apparaat niet."@nl . "\u30CF\u30FC\u30E2\u30CE\u30B0\u30E9\u30D5\uFF08\u82F1: harmonograph\uFF09\u306F\u5E7E\u4F55\u5B66\u50CF\u3092\u751F\u6210\u3059\u308B\u305F\u3081\u306B\u632F\u308A\u5B50\u3092\u7528\u3044\u308B\u6A5F\u68B0\u7684\u88C5\u7F6E\u3002\u751F\u6210\u3055\u308C\u308B\u56F3\u306F\u666E\u901A\u306F\u30EA\u30B5\u30FC\u30B8\u30E5\u66F2\u7DDA\u3001\u3082\u3057\u304F\u306F\u3088\u308A\u8907\u96D1\u306A\u95A2\u9023\u3059\u308B\u56F3\u3067\u3042\u308B\u300219\u4E16\u7D00\u4E2D\u3054\u308D\u306B\u767B\u5834\u30571890\u5E74\u4EE3\u306B\u4EBA\u6C17\u306E\u30D4\u30FC\u30AF\u3092\u8FCE\u3048\u305F\u3053\u306E\u88C5\u7F6E\u306F1\u4EBA\u306E\u4EBA\u9593\u306B\u5E30\u5C5E\u3059\u308B\u3053\u3068\u306F\u3067\u304D\u306A\u3044\u304C\u3001\u30B0\u30E9\u30B9\u30B4\u30FC\u5927\u5B66\u306E\u6570\u5B66\u6559\u6388\u3092\u52D9\u3081\u3066\u3044\u305FHugh Blackburn\u304C\u4E00\u822C\u7684\u306B\u306F\u767A\u660E\u8005\u3067\u3042\u308B\u3068\u8003\u3048\u3089\u308C\u3066\u3044\u308B\u3002 \u5358\u7D14\u306A\u3044\u308F\u3086\u308B\u300C\u6A2A\u300D\u30CF\u30FC\u30E2\u30CE\u30B0\u30E9\u30D5\u306F2\u3064\u306E\u632F\u308A\u5B50\u3092\u7528\u3044\u3066\u63CF\u304F\u9762\u306B\u5BFE\u3059\u308B\u30DA\u30F3\u306E\u52D5\u304D\u3092\u5236\u5FA1\u3059\u308B\u30021\u3064\u306E\u632F\u308A\u5B50\u306F\u30DA\u30F3\u30921\u3064\u306E\u8EF8\u306B\u6CBF\u3063\u3066\u524D\u5F8C\u306B\u52D5\u304B\u3057\u3001\u3082\u30461\u3064\u306E\u632F\u308A\u5B50\u306F\u63CF\u304F\u9762\u3092\u5782\u76F4\u8EF8\u306B\u6CBF\u3063\u3066\u524D\u5F8C\u306B\u52D5\u304B\u3059\u3002\u632F\u308A\u5B50\u306E\u76F8\u5BFE\u7684\u306A\u5468\u6CE2\u6570\u3068\u4F4D\u76F8\u3092\u5909\u5316\u3055\u305B\u308B\u3053\u3068\u3067\u7570\u306A\u308B\u30D1\u30BF\u30FC\u30F3\u304C\u751F\u6210\u3055\u308C\u308B\u3002\u524D\u8FF0\u306E\u5358\u7D14\u306A\u30CF\u30FC\u30E2\u30CE\u30B0\u30E9\u30D5\u3067\u3082\u6955\u5186\u3001\u6E26\u5DFB\u3001figure eights\u3084\u4ED6\u306E\u30EA\u30B5\u30FC\u30B8\u30E5\u56F3\u5F62\u3092\u751F\u6210\u3059\u308B\u3053\u3068\u304C\u3067\u304D\u308B\u3002 \u3088\u308A\u8907\u96D1\u306A\u30CF\u30FC\u30E2\u30CE\u30B0\u30E9\u30D5\u3082\u5B58\u5728\u3057\u30013\u3064\u4EE5\u4E0A\u306E\u632F\u308A\u5B50\u3082\u3057\u304F\u306F\u9023\u7D50\u3057\u305F\u632F\u308A\u5B50\uFF08\u4F8B\u3048\u3070\u632F\u308A\u5B50\u3092\u5225\u306E\u632F\u308A\u5B50\u306B\u3072\u3063\u304B\u3051\u308B\uFF09\u3092\u7528\u3044\u308B\u3082\u306E\u3084\u3001\u30B8\u30F3\u30D0\u30EB\u306B\u53D6\u308A\u4ED8\u3051\u3066\u4EFB\u610F\u306E\u65B9\u5411\u306B\u52D5\u3051\u308B\u3088\u3046\u306B\u3057\u305F\u632F\u308A\u5B50\u306B\u56DE\u8EE2\u904B\u52D5\u3092\u884C\u308F\u305B\u308B\u3082\u306E\u306A\u3069\u304C\u3042\u308B\u3002 \u30CF\u30FC\u30E2\u30CE\u30B0\u30E9\u30D5\u306E\u4E00\u7A2E\u3067\u3042\u308B\u30D4\u30F3\u30C8\u30B0\u30E9\u30D5\uFF08\u56F3\u3092\u62E1\u5927\u3059\u308B\u305F\u3081\u306E\u88C5\u7F6E\u3067\u3042\u308B\u30D1\u30F3\u30C8\u30B0\u30E9\u30D5\u3068\u306F\u7570\u306A\u308B\uFF09\u306F2\u3064\u306E\u56DE\u8EE2\u30C7\u30A3\u30B9\u30AF\u306E\u76F8\u5BFE\u7684\u306A\u52D5\u304D\u306B\u57FA\u3065\u3044\u3066\u3044\u308B\uFF08\u306B\u56F3\u89E3\u304C\u3042\u308B\uFF09\u3002"@ja . . . . . . "6193"^^ . "Armonografo"@it . . . "\u0413\u0430\u0440\u043C\u043E\u043D\u043E\u0433\u0440\u0430\u0444"@uk . "Un armonografo \u00E8 un'apparecchiatura meccanica che si serve di pendoli per tracciare delle figure. Un tale meccanismo permette di tracciare le figure di Lissajous e anche curve pi\u00F9 complesse. Queste apparecchiature sono comparse nel XIX secolo e sono attribuiti al francese Jules Antoine Lissajous (1822-1880). Un armonografo semplice impiega due pendoli per controllare il movimento di una penna rispetto alla superficie sulla quale si vuole tracciare un disegno. Un pendolo muove la penna avanti e indietro lungo un asse per la superficie di tracciamento e l'altro muove la penna avanti e indietro l'asse perpendicolare al precedente.Variando il rapporto delle frequenze dei due pendoli e il loro sfasamento si possono ottenere curve di molteplici aspetti: ellissi, spirali, e altre curve di Lissajous. Un armonografo efficace e pratico per presentazioni in aula \u00E8 stato realizzato da Giovanni Polvani (1892-1970): esso \u00E8 costituito da un primo pendolo costituente un'altalena con la parte inferiore formata da una porzione \"rettangolare\" di superficie cilindrica in grado di portare uno strato di sabbia e da un secondo pendolo che oscilla perpendicolarmente formato da un contenitore di sabbia di colore diverso e di un forellino inferiore dal quale la sabbia pu\u00F2 uscire con uniformit\u00E0 per depositarsi in modo stabile sullo strato portato dal primo pendolo. Sono stati costruiti anche armonografi piuttosto complessi che incorporano tre o pi\u00F9 pendoli o pendoli collegati, ad esempio un pendolo appeso ad un altro pendolo."@it . . . .