{"id":5764,"date":"2021-02-07T16:40:28","date_gmt":"2021-02-07T15:40:28","guid":{"rendered":"https:\/\/www.mathweb.fr\/euclide\/?p=5764"},"modified":"2021-10-26T16:15:11","modified_gmt":"2021-10-26T14:15:11","slug":"une-cloche-dans-une-ellipse","status":"publish","type":"post","link":"https:\/\/www.mathweb.fr\/euclide\/2021\/02\/07\/une-cloche-dans-une-ellipse\/","title":{"rendered":"Une cloche dans une ellipse"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Prenez une ellipse de centre O et mettez sur cette ellipse un point A.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ensuite, mettez sur cette m\u00eame ellipse un point M tel que \\(\\widehat{AOM}=\\alpha^\\circ\\) et un autre point N tel que \\(\\widehat{AON}=2\\alpha^\\circ\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Tracez la perpendiculaire \u00e0 [MN] passant par O; elle coupe [MN] en B. Tracez alors le cercle de centre M et passant par B.<\/p>\n\n\n\n<div class=\"wp-block-image is-style-rounded\"><figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"888\" height=\"757\" src=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2021\/02\/ellipse-cloche.png\" alt=\"ellipse cloche\" class=\"wp-image-5765\" srcset=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2021\/02\/ellipse-cloche.png 888w, https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2021\/02\/ellipse-cloche-600x511.png 600w, https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2021\/02\/ellipse-cloche-300x256.png 300w, https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2021\/02\/ellipse-cloche-768x655.png 768w\" sizes=\"auto, (max-width: 888px) 100vw, 888px\" \/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Que se passe-t-il quand on fait varier \\(\\alpha\\) entre 0 et 360 degr\u00e9s ?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">La r\u00e9ponse en vid\u00e9o :<\/p>\n\n\n\n<figure class=\"wp-block-video aligncenter\"><video height=\"792\" style=\"aspect-ratio: 1142 \/ 792;\" width=\"1142\" controls src=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2021\/02\/VID_20210207_161805.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Les cercles forment l&rsquo;enveloppe d&rsquo;une cloche dans l&rsquo;ellipse.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Cela ne sert \u00e0 rien, mais j&rsquo;ai trouv\u00e9 plut\u00f4t sympa&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Le t\u00e9l\u00e9chargement du fichier Geogebra est ci-dessous pour les abonn\u00e9\u00b7e\u00b7s:<\/p>\n\n\n\n<div class=\"wp-block-file aligncenter um_article\"><a href=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2021\/02\/ellipse-cloche.ggb\">ellipse-cloche<\/a><a href=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2021\/02\/ellipse-cloche.ggb\" class=\"wp-block-file__button\" download>T\u00e9l\u00e9charger<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Prenez une ellipse de centre O et mettez sur cette ellipse un point A. Ensuite, mettez sur cette m\u00eame ellipse un point M tel que \\(\\widehat{AOM}=\\alpha^\\circ\\) et un autre point N tel que \\(\\widehat{AON}=2\\alpha^\\circ\\). Tracez la perpendiculaire \u00e0 [MN] passant par O; elle coupe [MN] en B. Tracez alors le [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":5765,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,6],"tags":[],"class_list":["post-5764","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-informatique","category-mathematiques"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Une cloche dans une ellipse - Mathweb.fr<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.mathweb.fr\/euclide\/2021\/02\/07\/une-cloche-dans-une-ellipse\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Une cloche dans une ellipse - Mathweb.fr\" \/>\n<meta property=\"og:description\" content=\"Prenez une ellipse de centre O et mettez sur cette ellipse un point A. Ensuite, mettez sur cette m\u00eame ellipse un point M tel que (widehat{AOM}=alpha^circ) et un autre point N tel que (widehat{AON}=2alpha^circ). Tracez la perpendiculaire \u00e0 [MN] passant par O; elle coupe [MN] en B. 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