{"id":1760,"date":"2016-12-13T13:48:43","date_gmt":"2016-12-13T13:48:43","guid":{"rendered":"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/?p=1760"},"modified":"2016-12-14T07:49:33","modified_gmt":"2016-12-14T07:49:33","slug":"lescargot-de-pythagore","status":"publish","type":"post","link":"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/2016\/12\/13\/lescargot-de-pythagore\/","title":{"rendered":"L&rsquo;escargot de Pythagore"},"content":{"rendered":"<p><span style=\"text-decoration: underline\"><strong>Travail r\u00e9alis\u00e9 par In\u00e8s (4\u00e8)<\/strong><\/span><\/p>\n<p>C&rsquo;est une figure int\u00e9ressante car elle permet de construire g\u00e9om\u00e9triquement les racines carr\u00e9es des entiers cons\u00e9cutifs. On commence par repr\u00e9senter un triangle rectangle dont les c\u00f4t\u00e9s de l&rsquo;angle droit mesurent 1 cm de longueur (plus petit triangle violet sur la photo). Par application de la propri\u00e9t\u00e9 de Pythagore son hypot\u00e9nuse\u00a0a une longueur \u00e9gale \u00e0 la racine de 2 cm.<\/p>\n<p>On poursuit la construction par un nouveau triangle rectangle dont un des c\u00f4t\u00e9s de l&rsquo;angle droit est l&rsquo;hypot\u00e9nuse du triangle pr\u00e9c\u00e9dent, l&rsquo;autre c\u00f4t\u00e9 de l&rsquo;angle droit ayant une longueur de 1 cm (on obtient le petit triangle jaune). Et ainsi de suite&#8230;<\/p>\n<p>Les longueurs de l&rsquo;hypot\u00e9nuse des triangles successifs valent respectivement racine de 2 cm, racine de 3 cm, racine de 4 cm&#8230;<\/p>\n<p><a href=\"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/wp-content\/uploads\/sites\/169\/2016\/12\/escargot-de-pythagore.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-1765\" src=\"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/wp-content\/uploads\/sites\/169\/2016\/12\/escargot-de-pythagore-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/wp-content\/uploads\/sites\/169\/2016\/12\/escargot-de-pythagore-300x225.jpg 300w, https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/wp-content\/uploads\/sites\/169\/2016\/12\/escargot-de-pythagore.jpg 1024w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Travail r\u00e9alis\u00e9 par In\u00e8s (4\u00e8) C&rsquo;est une figure int\u00e9ressante car elle permet de construire g\u00e9om\u00e9triquement les racines carr\u00e9es des entiers cons\u00e9cutifs. On commence par repr\u00e9senter un triangle rectangle dont les c\u00f4t\u00e9s de l&rsquo;angle droit mesurent 1 cm de longueur (plus petit triangle violet sur la photo). Par application de la propri\u00e9t\u00e9 de Pythagore son hypot\u00e9nuse\u00a0a &hellip; <a href=\"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/2016\/12\/13\/lescargot-de-pythagore\/\" class=\"more-link\">Continuer la lecture de <span class=\"screen-reader-text\">L&rsquo;escargot de Pythagore<\/span>  <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":3930,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"h5ap_radio_sources":[],"footnotes":""},"categories":[54],"tags":[57,56,55],"post_folder":[],"class_list":["post-1760","post","type-post","status-publish","format-standard","hentry","category-destination-maths","tag-atelier-mathematiques","tag-escargot-de-pythagore","tag-pythagore"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/wp-json\/wp\/v2\/posts\/1760","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/wp-json\/wp\/v2\/users\/3930"}],"replies":[{"embeddable":true,"href":"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/wp-json\/wp\/v2\/comments?post=1760"}],"version-history":[{"count":0,"href":"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/wp-json\/wp\/v2\/posts\/1760\/revisions"}],"wp:attachment":[{"href":"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/wp-json\/wp\/v2\/media?parent=1760"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/wp-json\/wp\/v2\/categories?post=1760"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/wp-json\/wp\/v2\/tags?post=1760"},{"taxonomy":"post_folder","embeddable":true,"href":"https:\/\/passerelle2.ac-nantes.fr\/ecole-hopital-nantes\/wp-json\/wp\/v2\/post_folder?post=1760"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}