{"id":8961,"date":"2019-12-04T09:00:00","date_gmt":"2019-12-04T08:00:00","guid":{"rendered":"https:\/\/smalltalks.eu\/blog\/?p=8961"},"modified":"2026-11-09T18:16:42","modified_gmt":"2026-11-09T17:16:42","slug":"la-geometrie-hyperbolique","status":"publish","type":"post","link":"https:\/\/smalltalks.eu\/blog\/2019\/12\/04\/la-geometrie-hyperbolique\/","title":{"rendered":"La g\u00e9om\u00e9trie hyperbolique"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Une g\u00e9om\u00e9trie qui garde les quatre premiers postulats d&#8217;Euclide mais pas le cinqui\u00e8me : par un point passent une infinit\u00e9 de parall\u00e8les \u00e0 une droite. Lobatchevski, puis Poincar\u00e9, \u00e0 relire.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u00c0 lire : <a href=\"https:\/\/fr.wikipedia.org\/wiki\/G%C3%A9om%C3%A9trie_hyperbolique\">l&#8217;article de Wikip\u00e9dia<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Une g\u00e9om\u00e9trie qui garde les quatre premiers postulats d&#8217;Euclide mais pas le cinqui\u00e8me : par un point passent une infinit\u00e9 de parall\u00e8les \u00e0 une droite. Lobatchevski, puis Poincar\u00e9, \u00e0 relire. \u00c0 lire : l&#8217;article de Wikip\u00e9dia.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[282],"tags":[],"class_list":["post-8961","post","type-post","status-publish","format-standard","hentry","category-sciences-mathematiques"],"_links":{"self":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/8961","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/comments?post=8961"}],"version-history":[{"count":2,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/8961\/revisions"}],"predecessor-version":[{"id":9081,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/8961\/revisions\/9081"}],"wp:attachment":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/media?parent=8961"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/categories?post=8961"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/tags?post=8961"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}