{"id":4784,"date":"2016-01-21T09:49:13","date_gmt":"2016-01-21T07:49:13","guid":{"rendered":"http:\/\/pimedios.es\/?p=4784"},"modified":"2016-01-21T09:49:13","modified_gmt":"2016-01-21T07:49:13","slug":"una-curva-llamada-cardioide","status":"publish","type":"post","link":"http:\/\/pimedios.jesussoto.es\/?p=4784","title":{"rendered":"Una curva llamada cardioide"},"content":{"rendered":"<p><iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/atNyFYJSXvI\" frameborder=\"0\" allowfullscreen><\/iframe><br \/>\nLa cardioide est\u00e1 englobada dentro de la epicicloide.<\/p>\n<figure style=\"width: 291px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/commons.wikimedia.org\/wiki\/File:EpitrochoidOn3-generation.gif#\/media\/File:EpitrochoidOn3-generation.gif\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/a\/ae\/EpitrochoidOn3-generation.gif\" alt=\"EpitrochoidOn3-generation.gif\" width=\"291\" height=\"294\" \/><\/a><figcaption class=\"wp-caption-text\">\u00ab<a href=\"https:\/\/commons.wikimedia.org\/wiki\/File:EpitrochoidOn3-generation.gif#\/media\/File:EpitrochoidOn3-generation.gif\">EpitrochoidOn3-generation<\/a>\u00bb por <a class=\"extiw\" title=\"w:en:User:Sam Derbyshire\" href=\"\/\/en.wikipedia.org\/wiki\/en:User:Sam_Derbyshire\">Sam Derbyshire<\/a> &#8211; Original file got from <a class=\"extiw\" title=\"w:en:Image:EpitrochoidOn3.gif\" href=\"\/\/en.wikipedia.org\/wiki\/en:Image:EpitrochoidOn3.gif\">WP:EN<\/a>. Disponible bajo la licencia <a title=\"Creative Commons Attribution-Share Alike 3.0\" href=\"http:\/\/creativecommons.org\/licenses\/by-sa\/3.0\/\">CC BY-SA 3.0<\/a> v\u00eda <a href=\"https:\/\/commons.wikimedia.org\/wiki\/\">Wikimedia Commons<\/a>.<\/figcaption><\/figure>\n<p>Cuando el radio de la grande y de la peque\u00f1a coincide es la cardioide. La cardioide tambi\u00e9n aparece en los estudios de <a href=\"https:\/\/es.wikipedia.org\/wiki\/Gilles_de_Roberval\">Gilles de Roberval<\/a> para encontrar ejemplos de lineas tangentes.<\/p>\n<figure id=\"2\" aria-describedby=\"caption-2\" style=\"width: 297px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/commons.wikimedia.org\/wiki\/File:PedalCurve2.gif#\/media\/File:PedalCurve2.gif\"><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter\" src=\"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/8\/8b\/PedalCurve2.gif\" alt=\"PedalCurve2.gif\" width=\"297\" height=\"299\" \/><\/a><figcaption id=\"caption-2\" class=\"wp-caption-text\">\u00ab<a href=\"https:\/\/commons.wikimedia.org\/wiki\/File:PedalCurve2.gif#\/media\/File:PedalCurve2.gif\">PedalCurve2<\/a>\u00bb by <a class=\"extiw\" title=\"en:User:Sam Derbyshire\" href=\"\/\/en.wikipedia.org\/wiki\/User:Sam_Derbyshire\">Sam Derbyshire<\/a> at the <a class=\"extiw\" title=\"en:\" href=\"\/\/en.wikipedia.org\/wiki\/\">English language Wikipedia<\/a>. Licensed under <a title=\"Creative Commons Attribution-Share Alike 3.0\" href=\"http:\/\/creativecommons.org\/licenses\/by-sa\/3.0\/\">CC BY-SA 3.0<\/a> via <a href=\"https:\/\/commons.wikimedia.org\/wiki\/\">Commons<\/a>.<\/figcaption><\/figure>\n<p>Roberval fue amigo de la familia Pascal. \u00c9tienne Pascal, padre de Blaise Pascal, la estudi\u00f3 particularmente, de ah\u00ed que ha pasado a la historia como el Caracol de Pascal.<\/p>\n<figure id=\"2\" aria-describedby=\"caption-2\" style=\"width: 307px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/commons.wikimedia.org\/wiki\/File:Pascal_lima%C3%A7ons.png#\/media\/File:Pascal_lima%C3%A7ons.png\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/d\/d9\/Pascal_lima%C3%A7ons.png\" alt=\"Pascal lima\u00e7ons.png\" width=\"307\" height=\"265\" \/><\/a><figcaption id=\"caption-2\" class=\"wp-caption-text\"><br \/>\u00ab<a href=\"https:\/\/commons.wikimedia.org\/wiki\/File:Pascal_lima%C3%A7ons.png#\/media\/File:Pascal_lima%C3%A7ons.png\">Pascal lima\u00e7ons<\/a>\u00bb por <a title=\"User:Tosha\" href=\"\/\/commons.wikimedia.org\/wiki\/User:Tosha\">Tosha<\/a> &#8211; <span class=\"int-own-work\" lang=\"es\" xml:lang=\"es\">Trabajo propio<\/span>. Disponible bajo la licencia Dominio p\u00fablico v\u00eda <a href=\"https:\/\/commons.wikimedia.org\/wiki\/\">Wikimedia Commons<\/a>.<\/figcaption><\/figure>\n<p>Otro sitio curioso donde nos aparece esta curva en la representaci\u00f3n gr\u00e1fica de la armon\u00eda musical (Armon\u00f3grafo)<\/p>\n<p><figure id=\"attachment_4787\" aria-describedby=\"caption-attachment-4787\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/pimedios.es\/wp-content\/uploads\/2016\/01\/Harmonographs.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-4787\" src=\"http:\/\/pimedios.es\/wp-content\/uploads\/2016\/01\/Harmonographs-300x188.png\" alt=\" Harmonograph, a visual guide to the mathematics of music. Anthony Ashton. Ontenida de woodenbooks.com\" width=\"300\" height=\"188\" srcset=\"http:\/\/pimedios.jesussoto.es\/wp-content\/uploads\/2016\/01\/Harmonographs-300x188.png 300w, http:\/\/pimedios.jesussoto.es\/wp-content\/uploads\/2016\/01\/Harmonographs.png 806w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><figcaption id=\"caption-attachment-4787\" class=\"wp-caption-text\">Harmonograph, a visual guide to the mathematics of music. Anthony Ashton. Obtenida de <a href=\"http:\/\/woodenbooks.com\/browse\/harmonograph\/HMG.00018.php\">woodenbooks.com<\/a><\/figcaption><\/figure><br \/>\nSi quier\u00e9is saber m\u00e1s de ella, consultar <a href=\"http:\/\/gaussianos.com\/astroide-cardioide-y-demas-oides\/\" target=\"_blank\">Astroide, cardioide y dem\u00e1s -oides<\/a> de gaussianos.<\/p>\n<blockquote><p><em>Esta entrada participa en la <a href=\"http:\/\/wp.me\/p318Oz-1SC\"><strong>Edici\u00f3n 6.X \u201cEl grafo\u201d<\/strong><\/a> del <strong><a href=\"http:\/\/carnavaldematematicas.bligoo.es\/\" target=\"_blank\">Carnaval de Matem\u00e1ticas<\/a><\/strong><\/em>,<em> cuyo anfitri\u00f3n es el blog <strong><a title=\"Blog Cifras y Teclas\" href=\"http:\/\/cifrasyteclas.com\">Cifras y Teclas<\/a><\/strong>.<\/em><\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>Una curva llamada cardioide<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,8],"tags":[671,672,130],"class_list":["post-4784","post","type-post","status-publish","format-standard","hentry","category-historia","category-ocio","tag-armonografo","tag-cardioide","tag-etienne-pascal","entry"],"_links":{"self":[{"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/4784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4784"}],"version-history":[{"count":8,"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/4784\/revisions"}],"predecessor-version":[{"id":4793,"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/4784\/revisions\/4793"}],"wp:attachment":[{"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4784"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}