{"id":215,"date":"2014-10-26T14:12:34","date_gmt":"2014-10-26T12:12:34","guid":{"rendered":"http:\/\/www.inst.uni-giessen.de\/idm\/mathepodcast\/?p=215"},"modified":"2014-10-26T14:12:34","modified_gmt":"2014-10-26T12:12:34","slug":"der-umfangswinkelsatz-beweis-und-anwendungsbeispiele","status":"publish","type":"post","link":"https:\/\/podcast.math.uni-giessen.de\/mathepodcast\/2014\/10\/26\/der-umfangswinkelsatz-beweis-und-anwendungsbeispiele\/","title":{"rendered":"Der Umfangswinkelsatz &#8211; Beweis und Anwendungsbeispiele"},"content":{"rendered":"<p>Eine Studentin erkl\u00e4rt zwei Kommilitonen die Begriffe \u201eUmfangswinkel\u201c und \u201eMittelpunktswinkel\u201c sowie den Umfangswinkelsatz. Der Umfangswinkelsatz wird auf leicht nachvollziehbare Weise bewiesen. Abschlie\u00dfend wird erl\u00e4utert, wof\u00fcr man diesen Satz ben\u00f6tigt.<\/p>\n<div class=\"powerpress_player\" id=\"powerpress_player_7266\"><!--[if lt IE 9]><script>document.createElement('audio');<\/script><![endif]-->\n<audio class=\"wp-audio-shortcode\" id=\"audio-215-1\" preload=\"none\" style=\"width: 100%;\" controls=\"controls\"><source type=\"audio\/mpeg\" src=\"http:\/\/www.inst.uni-giessen.de\/idm\/mathepodcast\/audio\/032_Umfangswinkelsatz.mp3?_=1\" \/><a href=\"http:\/\/www.inst.uni-giessen.de\/idm\/mathepodcast\/audio\/032_Umfangswinkelsatz.mp3\">http:\/\/www.inst.uni-giessen.de\/idm\/mathepodcast\/audio\/032_Umfangswinkelsatz.mp3<\/a><\/audio><\/div><p class=\"powerpress_links powerpress_links_mp3\" style=\"margin-bottom: 1px !important;\">Podcast: <a href=\"http:\/\/www.inst.uni-giessen.de\/idm\/mathepodcast\/audio\/032_Umfangswinkelsatz.mp3\" class=\"powerpress_link_pinw\" target=\"_blank\" title=\"Play in new window\" onclick=\"return powerpress_pinw('https:\/\/podcast.math.uni-giessen.de\/mathepodcast\/?powerpress_pinw=215-podcast');\" rel=\"nofollow\">Play in new window<\/a> | <a href=\"http:\/\/www.inst.uni-giessen.de\/idm\/mathepodcast\/audio\/032_Umfangswinkelsatz.mp3\" class=\"powerpress_link_d\" title=\"Download\" rel=\"nofollow\" download=\"032_Umfangswinkelsatz.mp3\">Download<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Eine Studentin erkl\u00e4rt zwei Kommilitonen die Begriffe \u201eUmfangswinkel\u201c und \u201eMittelpunktswinkel\u201c sowie den Umfangswinkelsatz. Der Umfangswinkelsatz wird auf leicht nachvollziehbare Weise bewiesen. Abschlie\u00dfend wird erl\u00e4utert, wof\u00fcr man diesen Satz ben\u00f6tigt.<\/p>\n","protected":false},"author":3,"featured_media":216,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-215","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-allgemein"],"_links":{"self":[{"href":"https:\/\/podcast.math.uni-giessen.de\/mathepodcast\/wp-json\/wp\/v2\/posts\/215","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/podcast.math.uni-giessen.de\/mathepodcast\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/podcast.math.uni-giessen.de\/mathepodcast\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/podcast.math.uni-giessen.de\/mathepodcast\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/podcast.math.uni-giessen.de\/mathepodcast\/wp-json\/wp\/v2\/comments?post=215"}],"version-history":[{"count":0,"href":"https:\/\/podcast.math.uni-giessen.de\/mathepodcast\/wp-json\/wp\/v2\/posts\/215\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/podcast.math.uni-giessen.de\/mathepodcast\/wp-json\/wp\/v2\/media\/216"}],"wp:attachment":[{"href":"https:\/\/podcast.math.uni-giessen.de\/mathepodcast\/wp-json\/wp\/v2\/media?parent=215"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/podcast.math.uni-giessen.de\/mathepodcast\/wp-json\/wp\/v2\/categories?post=215"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/podcast.math.uni-giessen.de\/mathepodcast\/wp-json\/wp\/v2\/tags?post=215"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}