{"id":689,"date":"2018-08-05T06:58:31","date_gmt":"2018-08-05T06:58:31","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=689"},"modified":"2018-08-05T06:58:31","modified_gmt":"2018-08-05T06:58:31","slug":"dos-paralelas-en-un-circulo","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2018\/08\/05\/dos-paralelas-en-un-circulo\/","title":{"rendered":"Dos paralelas en un c\u00edrculo"},"content":{"rendered":"<pre>Problema 1 de la Olimpiada Internacional (2018)\r\nSe dirige a una edad de: 17-19 a\u00f1os<\/pre>\n<p>Sea P la circunferencia circunscrita al tri\u00e1ngulo acut\u00e1ngulo ABC. Los puntos D y E est\u00e1n en los segmentos AB y AC, respectivamente, y son tales que AD = AE. Las mediatrices de BD y CE cortan a los arcos menores AB y AC de P en los puntos F y G, respectivamente.<\/p>\n<p>Demostrar que las rectas DE y FG son paralelas (o son la misma recta).<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2018\/08\/54.Dosparalelasenuncirculo.gif\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-full wp-image-690\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 1 de la Olimpiada Internacional (2018) Se dirige a una edad de: 17-19 a\u00f1os Sea P la circunferencia circunscrita al tri\u00e1ngulo acut\u00e1ngulo ABC. Los puntos D y E est\u00e1n en los segmentos AB y AC, respectivamente, y son tales que AD = AE. Las mediatrices de BD y CE cortan a los arcos menores [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1738,2849],"tags":[],"class_list":["post-689","post","type-post","status-publish","format-standard","hentry","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/689","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=689"}],"version-history":[{"count":1,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/689\/revisions"}],"predecessor-version":[{"id":691,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/689\/revisions\/691"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=689"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=689"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=689"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}