{"id":1257,"date":"2010-09-13T09:35:51","date_gmt":"2010-09-13T07:35:51","guid":{"rendered":"http:\/\/matematicas.jesussoto.es\/?p=1257"},"modified":"2010-09-13T09:35:51","modified_gmt":"2010-09-13T07:35:51","slug":"%cf%802-irracional","status":"publish","type":"post","link":"http:\/\/pimedios.jesussoto.es\/?p=1257","title":{"rendered":"\u03c0^2 irracional"},"content":{"rendered":"<p>Ayer ve\u00edamos como \u03c0 resultaba irracional, cosa que ya conocemos, pero no de la mano de Legendre,. Hoy continuo justo en el \u00faltimo p\u00e1rrafo de ayer, dando su demostraci\u00f3n de como \u03c0<sup>2<\/sup> es irracional.<\/p>\n<p>Utilizando el mismo proceder deductivo, si en la expresi\u00f3n de tangete de x hacemos x igual a \u03c0, tendremos<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"\/wp-content\/uploads\/imag5.png\" alt=\"\" width=\"271\" height=\"94\" \/><\/p>\n<p>Pero si tanto \u03c0 como \u03c0<sup>2<\/sup> fuesen racionales, teniendo que \u03c0<sup>2<\/sup>=m\/n, ser\u00eda<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"\/wp-content\/uploads\/imag6.png\" alt=\"\" width=\"274\" height=\"110\" \/><\/p>\n<p>Una vez m\u00e1s el lema 2 del pasado d\u00eda nos dice que el valor de la fracci\u00f3n continua es irracional y no podr\u00eda ser 3. En consecuencia:<\/p>\n<table style=\"width: 427px; height: 24px;\" border=\"2\" cellspacing=\"1\" cellpadding=\"1\" align=\"center\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><span style=\"font-family: Tahoma;\"><strong>El cuadrado de la raz\u00f3n de la circunferencia al di\u00e1metro <\/strong><\/span><\/p>\n<p><span style=\"font-family: Tahoma;\"><strong>es un n\u00famero irracional.<\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>Enlaces de inter\u00e9s<\/h3>\n<ul>\n<li> <a href=\"http:\/\/books.google.es\/books?id=FFARfdjR0C8C&amp;pg=PP1#v=onepage&amp;q&amp;f=false\">Elementos de Geometr\u00eda: con notas<\/a>. Adrien-Marie Legendre<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Ayer ve\u00edamos como \u03c0 resultaba irracional, cosa que ya conocemos, pero no de la mano de Legendre,. Hoy continuo justo en el \u00faltimo p\u00e1rrafo de ayer, dando su demostraci\u00f3n de como \u03c02 es irracional. Utilizando el mismo proceder deductivo, si en la expresi\u00f3n de tangete de x hacemos x igual a \u03c0, tendremos Pero si&hellip; <a class=\"more-link\" href=\"http:\/\/pimedios.jesussoto.es\/?p=1257\">Seguir leyendo <span class=\"screen-reader-text\">\u03c0^2 irracional<\/span><\/a><\/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":[],"class_list":["post-1257","post","type-post","status-publish","format-standard","hentry","category-historia","category-ocio","entry"],"_links":{"self":[{"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/1257","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=1257"}],"version-history":[{"count":0,"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/1257\/revisions"}],"wp:attachment":[{"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1257"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1257"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/pimedios.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1257"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}