{"id":70,"date":"2010-07-02T09:39:06","date_gmt":"2010-07-02T13:39:06","guid":{"rendered":"http:\/\/pascal-tic.org\/blogue\/?p=70"},"modified":"2022-02-13T07:59:55","modified_gmt":"2022-02-13T12:59:55","slug":"les-pyramides-et-pythagore-deuxieme-partie","status":"publish","type":"post","link":"https:\/\/pascal-tic.org\/blogue\/les-pyramides-et-pythagore-deuxieme-partie\/","title":{"rendered":"Les pyramides et Pythagore &#8211; Deuxi\u00e8me partie"},"content":{"rendered":"<p>Comment trouver la hauteur d&rsquo;une pyramide lorsqu&rsquo;on connait les mesures de la base et d&rsquo;une ar\u00eate ? J&rsquo;ai d\u00e9j\u00e0 parl\u00e9 de ce sujet dans un <a title=\"Les pyramides et Pythagore\" href=\"https:\/\/pascal-tic.org\/blogue\/?p=42\" target=\"_self\" rel=\"noopener\">pr\u00e9c\u00e9dent billet<\/a>. Pour illustrer mon propos, j&rsquo;utilisais \u00e0 l&rsquo;ordinateur un applet, JMath3D, pour repr\u00e9senter la pyramide. Ainsi, je pouvais la manipuler librement afin que l&rsquo;on puisse voir facilement les triangles rectangles. Cependant, lorsque l&rsquo;\u00e9l\u00e8ve n&rsquo;a pas acc\u00e8s \u00e0 un ordinateur, comment garder une trace de ce raisonnement ?<\/p>\n<p>Je me suis amus\u00e9 avec Inkscape \u00e0 dessiner cette explication. Voici le r\u00e9sultat.<\/p>\n<figure id=\"attachment_71\" aria-describedby=\"caption-attachment-71\" style=\"width: 500px\" class=\"wp-caption aligncenter\"><a ref=\"magnificPopup\" href=\"https:\/\/pascal-tic.org\/blogue\/wp-content\/uploads\/2010\/07\/PyramideAretes.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-71\" title=\"PyramideAretes\" src=\"https:\/\/pascal-tic.org\/blogue\/wp-content\/uploads\/2010\/07\/PyramideAretes-e1278077464751.png\" alt=\"\" width=\"500\" height=\"675\" \/><\/a><figcaption id=\"caption-attachment-71\" class=\"wp-caption-text\">Illustration : Comment trouver la hauteur \u00e0 partir d&rsquo;une ar\u00eate dans une pyramide.<\/figcaption><\/figure>\n<p>J&rsquo;insiste beaucoup sur le nommage des sommets lorsqu&rsquo;on mod\u00e9lise des solides. On remarque ici la\u00a0pertinence de cette pratique.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Comment trouver la hauteur d&rsquo;une pyramide lorsqu&rsquo;on connait les mesures de la base et d&rsquo;une ar\u00eate ? J&rsquo;ai d\u00e9j\u00e0 parl\u00e9 de ce sujet dans un pr\u00e9c\u00e9dent billet. Pour illustrer mon propos, j&rsquo;utilisais \u00e0 l&rsquo;ordinateur un applet, JMath3D, pour repr\u00e9senter la pyramide. Ainsi, je pouvais la manipuler librement afin que l&rsquo;on puisse voir facilement les triangles&#8230;<\/p>\n","protected":false},"author":2,"featured_media":808,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_surecart_dashboard_logo_width":"180px","_surecart_dashboard_show_logo":true,"_surecart_dashboard_navigation_orders":true,"_surecart_dashboard_navigation_invoices":true,"_surecart_dashboard_navigation_subscriptions":true,"_surecart_dashboard_navigation_downloads":true,"_surecart_dashboard_navigation_billing":true,"_surecart_dashboard_navigation_account":true,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[46,10],"tags":[14,18,11,17,13],"class_list":["post-70","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-inkscape","category-mathematiques","tag-3d","tag-inkscape","tag-jmath3d","tag-modelisation","tag-pyramide"],"jetpack_featured_media_url":"https:\/\/pascal-tic.org\/blogue\/wp-content\/uploads\/2010\/07\/facepythagore.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/pascal-tic.org\/blogue\/wp-json\/wp\/v2\/posts\/70","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pascal-tic.org\/blogue\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pascal-tic.org\/blogue\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pascal-tic.org\/blogue\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/pascal-tic.org\/blogue\/wp-json\/wp\/v2\/comments?post=70"}],"version-history":[{"count":3,"href":"https:\/\/pascal-tic.org\/blogue\/wp-json\/wp\/v2\/posts\/70\/revisions"}],"predecessor-version":[{"id":809,"href":"https:\/\/pascal-tic.org\/blogue\/wp-json\/wp\/v2\/posts\/70\/revisions\/809"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pascal-tic.org\/blogue\/wp-json\/wp\/v2\/media\/808"}],"wp:attachment":[{"href":"https:\/\/pascal-tic.org\/blogue\/wp-json\/wp\/v2\/media?parent=70"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pascal-tic.org\/blogue\/wp-json\/wp\/v2\/categories?post=70"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pascal-tic.org\/blogue\/wp-json\/wp\/v2\/tags?post=70"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}