{"id":1750,"date":"2024-08-26T13:51:22","date_gmt":"2024-08-26T16:51:22","guid":{"rendered":"https:\/\/www.fiq.unl.edu.ar\/museo\/?page_id=1750"},"modified":"2024-12-16T16:32:48","modified_gmt":"2024-12-16T19:32:48","slug":"integrafo","status":"publish","type":"page","link":"https:\/\/www.fiq.unl.edu.ar\/museo\/objetos\/integrafo\/","title":{"rendered":"Int\u00e9grafo"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"1750\" class=\"elementor elementor-1750\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2b7b235d elementor-section-content-middle elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"2b7b235d\" data-element_type=\"section\" id=\"menu\" 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https:\/\/www.fiq.unl.edu.ar\/museo\/wp-content\/uploads\/2024\/10\/Mesa-de-trabajo-32-300x300.png 300w, https:\/\/www.fiq.unl.edu.ar\/museo\/wp-content\/uploads\/2024\/10\/Mesa-de-trabajo-32-150x150.png 150w, https:\/\/www.fiq.unl.edu.ar\/museo\/wp-content\/uploads\/2024\/10\/Mesa-de-trabajo-32-768x768.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-786a703e\" data-id=\"786a703e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4419f01f elementor-widget elementor-widget-heading\" data-id=\"4419f01f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">c\u00e1lculo<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ad0daa2 elementor-widget elementor-widget-heading\" data-id=\"ad0daa2\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Int\u00e9grafo de Abdank<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-172806e3 elementor-widget elementor-widget-text-editor\" data-id=\"172806e3\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p>Dibuja una curva (que se denomina curva integral) que en cada punto representa la pendiente de la recta tangente a otra curva graficada previamente (que se denomina curva fundamental).<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1bf831b elementor-section-height-min-height elementor-section-boxed elementor-section-height-default elementor-section-items-middle\" data-id=\"1bf831b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-1cf34119\" data-id=\"1cf34119\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-609cd408 elementor-widget elementor-widget-text-editor\" data-id=\"609cd408\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"color: #cb2222;\">DATACIO\u0301N<\/span><br \/>Desconocida<\/p><p><span style=\"color: #cb2222;\">LUGAR DE PROCEDENCIA<\/span><br \/>Suiza<\/p><p><span style=\"color: #cb2222;\">MARCA<\/span><br \/>Desconocida<\/p><p><span style=\"color: #cb2222;\">DISCIPLINA<\/span><br \/>Matem\u00e1tica<\/p><p><span style=\"color: #cb2222;\">\u00c1REAS DE INVESTIGACI\u00d3N<\/span><br \/>Ecuaciones diferenciales<\/p><p><span style=\"color: #cb2222;\">TRANSFERIDO PARA MuSEO<\/span><br \/>Departamento de Matem\u00e1tica FIQ-UNL<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5c6c516b elementor-widget elementor-widget-button\" data-id=\"5c6c516b\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/www.fiq.unl.edu.ar\/museo\/saberes\/matematica-e-ingenieria\/\" class=\"elementor-button-link elementor-button elementor-size-xs\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t<span class=\"elementor-button-icon elementor-align-icon-left\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-file-alt\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Matem\u00e1tica e Ingenier\u00eda<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1f734efa elementor-widget elementor-widget-button\" data-id=\"1f734efa\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/fiq.unl.edu.ar\/museo\/archivo\/colecciones\/objetos\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-xs\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t<span class=\"elementor-button-icon elementor-align-icon-left\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-paper-plane\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Archivo MuSEO <\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-2ad966e2\" data-id=\"2ad966e2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-22a3beb1 elementor-widget elementor-widget-text-editor\" data-id=\"22a3beb1\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p>Este int\u00e9grafo es un instrumento de c\u00e1lculo ideado por Bruno Abdank Abakanowick aproximadamente en 1878 bas\u00e1ndose en ideas previas de Coriolis . La materializaci\u00f3n pr\u00e1ctica y efectiva de este instrumento para su comercializaci\u00f3n llev\u00f3 varios a\u00f1os de intentos sin \u00e9xito hasta que el ingeniero suizo Gottlieb Coradi, experto en la manufacturaci\u00f3n de instrumentos de precisi\u00f3n, se hace cargo de su construcci\u00f3n logrando solucionar satisfactoriamente todos los problemas t\u00e9cnicos de dise\u00f1o que eran bastantes complejos.\u00a0<\/p><p>Esta complejidad queda reflejada en los comentarios del propio Abakanowick en una publicaci\u00f3n cient\u00edfica sobre su invenci\u00f3n en 1885: \u201cMr. Coradi tiene todo el m\u00e9rito de la extraordinaria soluci\u00f3n al problema mec\u00e1nico de la transmisi\u00f3n del movimiento de la barra directriz a la rueda de integraci\u00f3n.\u201d\u00a0<\/p><p>Bruno Abakanowick, polaco de nacimiento, logr\u00f3 acumular una considerable fortuna gracias a sus invenciones. Buena parte de su vida transcurri\u00f3 en Francia y fue condecorado con la Legi\u00f3n de Honor en 1889 , la m\u00e1xima distinci\u00f3n otorgarda por el gobierno franc\u00e9s. Bruno Abakanowick es considerado como uno de los responsables del tendido de las redes de electrificaci\u00f3n en Francia.<\/p><h6><strong><span style=\"color: #cb2222;\">Para qu\u00e9 sirve<\/span><\/strong><\/h6><p>Este instrumento dibuja una curva (que se denomina curva integral) que en cada punto representa la pendiente de la recta tangente a otra curva graficada previamente (que se denomina curva fundamental). En t\u00e9rminos matem\u00e1ticos, dada una curva definida por el gr\u00e1fico de una funci\u00f3n f, el int\u00e9grafo permite hallar otra curva que representa el gr\u00e1fico de una primitiva de f bajo ciertas condiciones de diferenciabilidad (suavidad de la curva definida por la funci\u00f3n f). Esto tambi\u00e9n significa que con este instrumento se puede, en ciertos casos, encontrar gr\u00e1ficamente una soluci\u00f3n de la ecuaci\u00f3n diferencial de primer orden dy\/dx=f(x)<\/p><h6><span style=\"color: #cb2222;\"><strong>C\u00f3mo funciona<\/strong><\/span><\/h6><p>En cada uno de los extremos de la barra se encuentra una rueda. Sobre estas ruedas (ruedas principales) se desplaza todo el instrumento (ya que sus componentes se encuentran unidas a esta barra directa o indirectamente) de izquierda a derecha (o inversamente) sobre un eje imaginario que comunmente se denomina eje x. Sobre esta barra se encuentra una vara met\u00e1lica (directriz) con perfil de rombo. En uno de sus extremos hay un marcador, pieza de metal de punta c\u00f3nica, que recorre la curva fundamental. Mientras esto ocurre, otro marcardor, montado sobre una estructura rectangular formada por varillas cuyo movimiento depende de una rueda (rueda de integraci\u00f3n), dibuja la curva integral buscada.<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6694b173 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6694b173\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1d6667ee\" data-id=\"1d6667ee\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap 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class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4edd8636 elementor-widget elementor-widget-heading\" data-id=\"4edd8636\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Facultad de Ingenier\u00eda Qu\u00edmica. Universidad Nacional del Litoral <\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-41d780f8 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"41d780f8\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>MuSEO Saberes Experiencias Objetos ArchivoFIQ c\u00e1lculo Int\u00e9grafo de Abdank Dibuja una curva (que se denomina curva integral) que en cada punto representa la pendiente de la recta tangente a otra curva graficada previamente (que se denomina curva fundamental). DATACIO\u0301NDesconocida LUGAR DE PROCEDENCIASuiza MARCADesconocida DISCIPLINAMatem\u00e1tica \u00c1REAS DE INVESTIGACI\u00d3NEcuaciones diferenciales TRANSFERIDO PARA MuSEODepartamento de Matem\u00e1tica FIQ-UNL Matem\u00e1tica [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":303,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_canvas","meta":[],"_links":{"self":[{"href":"https:\/\/www.fiq.unl.edu.ar\/museo\/wp-json\/wp\/v2\/pages\/1750"}],"collection":[{"href":"https:\/\/www.fiq.unl.edu.ar\/museo\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.fiq.unl.edu.ar\/museo\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.fiq.unl.edu.ar\/museo\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fiq.unl.edu.ar\/museo\/wp-json\/wp\/v2\/comments?post=1750"}],"version-history":[{"count":34,"href":"https:\/\/www.fiq.unl.edu.ar\/museo\/wp-json\/wp\/v2\/pages\/1750\/revisions"}],"predecessor-version":[{"id":3495,"href":"https:\/\/www.fiq.unl.edu.ar\/museo\/wp-json\/wp\/v2\/pages\/1750\/revisions\/3495"}],"up":[{"embeddable":true,"href":"https:\/\/www.fiq.unl.edu.ar\/museo\/wp-json\/wp\/v2\/pages\/303"}],"wp:attachment":[{"href":"https:\/\/www.fiq.unl.edu.ar\/museo\/wp-json\/wp\/v2\/media?parent=1750"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}