{"id":24122,"date":"2024-04-18T10:09:07","date_gmt":"2024-04-18T08:09:07","guid":{"rendered":"https:\/\/agora.xtec.cat\/ieslaromanica\/?p=24122"},"modified":"2024-04-18T10:17:35","modified_gmt":"2024-04-18T08:17:35","slug":"teorema-de-tales-a-la-placa-del-millenari","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/ieslaromanica\/general\/teorema-de-tales-a-la-placa-del-millenari\/","title":{"rendered":"Teorema de Tales a la Pla\u00e7a del Mil\u00b7lenari"},"content":{"rendered":"<p style=\"text-align: justify;\">Aquests dies, l&#8217;alumnat de 2n d&#8217;ESO ha estat descobrint el Teorema de Tales a la Pla\u00e7a del Mil\u00b7lenari. Aix\u00ed doncs, hem pogut calcular mesures desconegudes utilitzant els triangles semblants com en la llegenda relatada per Plutard.<\/p>\n<p style=\"text-align: justify;\">Segons la llegenda, Tales de Milet, en un viatge a Egipte, va visitar les pir\u00e0mides de Guiza (les de Kheops, Khefr\u00e9n i Micer\u00ed), constru\u00efdes diversos segles abans. Admirat davant tan portentosos monuments d&#8217;aquesta civilitzaci\u00f3, va voler saber la seva altura.<\/p>\n<p style=\"text-align: justify;\">D&#8217;acord amb la llegenda, va tractar aquest problema amb semblan\u00e7a de triangles. Sota la suposici\u00f3 que els raigs solars incidents eren paral\u00b7lels, va poder establir una relaci\u00f3 de semblan\u00e7a (teorema primer de Tales) entre dos triangles rectangles: d&#8217;una banda el que t\u00e9 per catets a la longitud de l&#8217;ombra de la pir\u00e0mide (que podem mesurar) i la longitud de la seva al\u00e7ada (desconeguda) i, d&#8217;altra banda, el que t\u00e9 per catets l&#8217;altura d&#8217;una vara o la d&#8217;ell mateix i la longitud de la seva ombra (que podem con\u00e8ixer tamb\u00e9 les mesures).<\/p>\n\r\n\t<div class=\"slideshow_container slideshow_container_style-light\" style=\"height: 800px; \" data-slideshow-id=\"24123\" data-style-name=\"style-light\" data-style-version=\"2.3.1\" >\r\n\r\n\t\t\t\t\t<div class=\"slideshow_loading_icon\"><\/div>\r\n\t\t\r\n\t\t<div class=\"slideshow_content\" style=\"display: none;\">\r\n\r\n\t\t\t<div class=\"slideshow_view\">\r\n\t\t\t\t<div class=\"slideshow_slide slideshow_slide_image\">\r\n\t\t\t\t\t\t\t\t\t\t\t<img src=\"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-content\/uploads\/usu857\/2024\/04\/20240416_100424-2-scaled.jpg\" alt=\"20240416_100424 (2)\" width=\"1920\" height=\"2560\" \/>\r\n\t\t\t\t\t\t\t\t\t\t<div class=\"slideshow_description_box slideshow_transparent\">\r\n\t\t\t\t\t\t<div class=\"slideshow_title\">20240416_100424 (2)<\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t\t\t<div style=\"clear: both;\"><\/div><\/div><div class=\"slideshow_view\">\r\n\t\t\t\t<div class=\"slideshow_slide slideshow_slide_image\">\r\n\t\t\t\t\t\t\t\t\t\t\t<img src=\"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-content\/uploads\/usu857\/2024\/04\/visualitzacio-teorema-tales.jpg\" alt=\"visualitzacio\u0301 teorema tales\" width=\"1432\" height=\"1067\" \/>\r\n\t\t\t\t\t\t\t\t\t\t<div class=\"slideshow_description_box slideshow_transparent\">\r\n\t\t\t\t\t\t<div class=\"slideshow_title\">visualitzacio\u0301 teorema tales<\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t\t\t<div style=\"clear: both;\"><\/div><\/div><div class=\"slideshow_view\">\r\n\t\t\t\t<div class=\"slideshow_slide slideshow_slide_image\">\r\n\t\t\t\t\t\t\t\t\t\t\t<img src=\"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-content\/uploads\/usu857\/2024\/04\/20240416_095236-1-scaled.jpg\" alt=\"20240416_095236 (1)\" width=\"1920\" height=\"2560\" \/>\r\n\t\t\t\t\t\t\t\t\t\t<div class=\"slideshow_description_box slideshow_transparent\">\r\n\t\t\t\t\t\t<div class=\"slideshow_title\">20240416_095236 (1)<\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t\t\t<div style=\"clear: both;\"><\/div><\/div><div class=\"slideshow_view\">\r\n\t\t\t\t<div class=\"slideshow_slide slideshow_slide_image\">\r\n\t\t\t\t\t\t\t\t\t\t\t<img src=\"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-content\/uploads\/usu857\/2024\/04\/20240416_094023-1-scaled.jpg\" alt=\"20240416_094023 (1)\" width=\"1920\" height=\"2560\" \/>\r\n\t\t\t\t\t\t\t\t\t\t<div class=\"slideshow_description_box slideshow_transparent\">\r\n\t\t\t\t\t\t<div class=\"slideshow_title\">20240416_094023 (1)<\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t\t\t<div style=\"clear: both;\"><\/div><\/div><div class=\"slideshow_view\">\r\n\t\t\t\t<div class=\"slideshow_slide slideshow_slide_image\">\r\n\t\t\t\t\t\t\t\t\t\t\t<img src=\"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-content\/uploads\/usu857\/2024\/04\/20240416_101010-1-scaled.jpg\" alt=\"20240416_101010 (1)\" width=\"2560\" height=\"1920\" \/>\r\n\t\t\t\t\t\t\t\t\t\t<div class=\"slideshow_description_box slideshow_transparent\">\r\n\t\t\t\t\t\t<div class=\"slideshow_title\">20240416_101010 (1)<\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t\t\t<div style=\"clear: both;\"><\/div><\/div>\r\n\t\t<\/div>\r\n\r\n\t\t<div class=\"slideshow_controlPanel slideshow_transparent\" style=\"display: none;\"><ul><li class=\"slideshow_togglePlay\" data-play-text=\"Visualitza\" data-pause-text=\"Pausa\"><\/li><\/ul><\/div>\r\n\r\n\t\t<div class=\"slideshow_button slideshow_previous slideshow_transparent\" role=\"button\" data-previous-text=\"Anterior\" style=\"display: none;\"><\/div>\r\n\t\t<div class=\"slideshow_button slideshow_next slideshow_transparent\" role=\"button\" data-next-text=\"Seg\u00fcent\" style=\"display: none;\"><\/div>\r\n\r\n\t\t<div class=\"slideshow_pagination\" style=\"display: none;\" data-go-to-text=\"V\u00e9s a la diapositiva\"><div class=\"slideshow_pagination_center\"><\/div><\/div>\r\n\r\n\t\t<!-- WordPress Slideshow Version 2.3.1 -->\r\n\r\n\t\t\t<\/div>\r\n\r\n\n","protected":false},"excerpt":{"rendered":"<p>Aquests dies, l&#8217;alumnat de 2n d&#8217;ESO ha estat descobrint el Teorema de Tales a la Pla\u00e7a del Mil\u00b7lenari. Aix\u00ed doncs, hem pogut calcular mesures desconegudes utilitzant els triangles semblants com en la llegenda relatada per Plutard. Segons la llegenda, Tales de Milet, en un viatge a Egipte, va visitar les pir\u00e0mides de Guiza (les de [&hellip;]<\/p>\n","protected":false},"author":34,"featured_media":24127,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[1],"tags":[],"class_list":["post-24122","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-general"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-json\/wp\/v2\/posts\/24122","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-json\/wp\/v2\/users\/34"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-json\/wp\/v2\/comments?post=24122"}],"version-history":[{"count":2,"href":"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-json\/wp\/v2\/posts\/24122\/revisions"}],"predecessor-version":[{"id":24130,"href":"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-json\/wp\/v2\/posts\/24122\/revisions\/24130"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-json\/wp\/v2\/media\/24127"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-json\/wp\/v2\/media?parent=24122"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-json\/wp\/v2\/categories?post=24122"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/ieslaromanica\/wp-json\/wp\/v2\/tags?post=24122"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}