{"id":996,"date":"2021-03-20T09:00:00","date_gmt":"2021-03-20T08:00:00","guid":{"rendered":"https:\/\/smalltalks.eu\/blog\/?p=996"},"modified":"2026-09-28T13:20:35","modified_gmt":"2026-09-28T11:20:35","slug":"la-decouverte-qui-a-transforme-%cf%80-veritasium","status":"publish","type":"post","link":"https:\/\/smalltalks.eu\/blog\/2021\/03\/20\/la-decouverte-qui-a-transforme-%cf%80-veritasium\/","title":{"rendered":"La d\u00e9couverte qui a transform\u00e9 \u03c0 (Veritasium)"},"content":{"rendered":"\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"The Discovery That Transformed Pi\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/gMlf1ELvRzc?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Pendant des mill\u00e9naires, on a calcul\u00e9 \u03c0 de la mani\u00e8re \u00e9vidente mais laborieuse : encadrer le cercle par des polygones, comme Archim\u00e8de. Puis Newton est arriv\u00e9. En \u00e9tendant le bin\u00f4me aux puissances fractionnaires et en jouant avec le triangle de Pascal, il obtient une s\u00e9rie qui donne les d\u00e9cimales de \u03c0 \u00e0 une vitesse in\u00e9dite (en anglais).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dans la m\u00eame s\u00e9rie : <a href=\"https:\/\/smalltalks.eu\/blog\/?p=995\">la conjecture de Syracuse<\/a>, <a href=\"https:\/\/smalltalks.eu\/blog\/?p=997\">le cinqui\u00e8me postulat d&#8217;Euclide<\/a>, <a href=\"https:\/\/smalltalks.eu\/blog\/?p=998\">le n\u0153ud de Conway<\/a>, <a href=\"https:\/\/smalltalks.eu\/blog\/?p=999\">la commutativit\u00e9<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Vid\u00e9o de Veritasium.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pendant des mill\u00e9naires, on a calcul\u00e9 \u03c0 de la mani\u00e8re \u00e9vidente mais laborieuse : encadrer le cercle par des polygones, comme Archim\u00e8de. Puis Newton est arriv\u00e9. En \u00e9tendant le bin\u00f4me aux puissances fractionnaires et en jouant avec le triangle de Pascal, il obtient une s\u00e9rie qui donne les d\u00e9cimales de \u03c0 \u00e0 une vitesse in\u00e9dite (en anglais). Dans la m\u00eame s\u00e9rie : la conjecture de Syracuse, le cinqui\u00e8me postulat d&#8217;Euclide, le n\u0153ud de Conway, la commutativit\u00e9. Vid\u00e9o de Veritasium.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[280,282,294],"tags":[],"class_list":["post-996","post","type-post","status-publish","format-standard","hentry","category-sciences","category-sciences-mathematiques","category-veritasium"],"_links":{"self":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/996","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=996"}],"version-history":[{"count":1,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/996\/revisions"}],"predecessor-version":[{"id":1018,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/996\/revisions\/1018"}],"wp:attachment":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/media?parent=996"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/categories?post=996"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/tags?post=996"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}