{"id":2406,"date":"2021-02-21T12:44:16","date_gmt":"2021-02-21T11:44:16","guid":{"rendered":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/?p=2406"},"modified":"2021-03-07T08:07:45","modified_gmt":"2021-03-07T07:07:45","slug":"ovalos-de-cassini","status":"publish","type":"post","link":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/ovalos-de-cassini\/","title":{"rendered":"\u00d3valos de Cassini"},"content":{"rendered":"<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Su nombre se debe al astr\u00f3nomo italiano <strong>Giovanni Cassini<\/strong> (1625-1712).<\/span><\/p>\n<p style=\"text-align: justify\"><span style=\"font-size: 14pt\">La <strong>\u00f3valos de Cassini <\/strong>son el lugar geom\u00e9trico de los puntos del plano, P, cuyo producto de distancias a dos puntos fijos, F:(a,0) y F&#8217;:(-a,0), llamados <strong>focos<\/strong> es constante e igual a b<sup>2<\/sup>.<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Si se&nbsp; define la <strong>excentricidad<\/strong> como e=b\/a, se verifica que:<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">\u2022 Si e&lt;1, se obtienen dos \u00f3valos sim\u00e9tricos.<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">\u2022 Si e=1, se obtiene la Lemniscata de Bernouili.<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">\u2022 Si e&gt;1, se obtiene una curva cerrada.<\/span><\/p>\n<p>Haz \u00abclick\u00bb sobre la imagen para abrir la construcci\u00f3n de GeoGebra.<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/www.geogebra.org\/m\/xq8xtvc3\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2407\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/ovalos_Cassini.png\" alt=\"\" width=\"593\" height=\"300\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/ovalos_Cassini.png 1014w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/ovalos_Cassini-300x152.png 300w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2021\/02\/ovalos_Cassini-768x389.png 768w\" sizes=\"(max-width: 593px) 100vw, 593px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Su nombre se debe al astr\u00f3nomo italiano Giovanni Cassini (1625-1712). La \u00f3valos de Cassini son el lugar geom\u00e9trico de los puntos del plano, P, cuyo producto de distancias a dos puntos fijos, F:(a,0) y&#46;&#46;&#46;<\/p>\n","protected":false},"author":7927,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[2075206],"tags":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/2406"}],"collection":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/users\/7927"}],"replies":[{"embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/comments?post=2406"}],"version-history":[{"count":4,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/2406\/revisions"}],"predecessor-version":[{"id":2526,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/2406\/revisions\/2526"}],"wp:attachment":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/media?parent=2406"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/categories?post=2406"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/tags?post=2406"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}