{"id":2970,"date":"2022-04-30T09:12:26","date_gmt":"2022-04-30T07:12:26","guid":{"rendered":"http:\/\/www.amisdeportroyal.org\/societe\/?p=2970"},"modified":"2022-04-30T09:14:07","modified_gmt":"2022-04-30T07:14:07","slug":"minutes-de-port-royal-91-pascal-roberval-et-la-quadrature-de-la-cycloide-par-thierry-lambre","status":"publish","type":"post","link":"http:\/\/www.amisdeportroyal.org\/societe\/index.php\/2022\/04\/30\/minutes-de-port-royal-91-pascal-roberval-et-la-quadrature-de-la-cycloide-par-thierry-lambre\/","title":{"rendered":"Minutes de Port-Royal (91) : Pascal, Roberval et la quadrature de la cyclo\u00efde, par Thierry Lambre"},"content":{"rendered":"<p style=\"text-align: justify;\">Nous poursuivons nos diffusions de printemps avec une 91e Minute de Port-Royal pr\u00e9par\u00e9e par Thierry Lambre, Professeur de Math\u00e9matiques \u00e0 l\u2019Universit\u00e9 Clermont Auvergne, \u00ab Pascal, Roberval et la quadrature de la cyclo\u00efde \u00bb.<\/p>\n<p style=\"text-align: justify;\">La cyclo\u00efde a l\u2019\u00e9trange privil\u00e8ge d\u2019avoir \u00e9t\u00e9 au XVIIe si\u00e8cle une pomme de discorde durable entre les math\u00e9maticiens de l&rsquo;Europe enti\u00e8re. Dans son \u00ab\u00a0Histoire de la Roulette\u00a0\u00bb, Pascal souligne l&rsquo;importance et la qualit\u00e9 des recherches de Roberval consacr\u00e9es au calcul de la tangente \u00e0 la cyclo\u00efde, ainsi que de son aire. Pour les tangentes, Roberval privil\u00e9gie des m\u00e9thodes cin\u00e9matiques. Pour le calcul de l&rsquo;aire, il emploie la m\u00e9thode des indivisibles, qui n&rsquo;acquerra une rigueur satisfaisante que bien plus tard. Cette rigueur est en cours de mise en place car un nouvel outil, le calcul diff\u00e9rentiel, est lui aussi en cours de mise en place.<\/p>\n<p style=\"text-align: justify;\">Bon weekend avec quelques sch\u00e9mas et de jolies animations pour s\u2019instruire en compagnie de Pascal!<\/p>\n<p><iframe loading=\"lazy\" title=\"(91) Les Minutes de Port-Royal, &quot;Pascal, Roberval et la quadrature de la cyclo\u00efde&quot;\" width=\"620\" height=\"349\" src=\"https:\/\/www.youtube.com\/embed\/g-FUyJYDXQU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nous poursuivons nos diffusions de printemps avec une 91e Minute de Port-Royal pr\u00e9par\u00e9e par Thierry Lambre, Professeur de Math\u00e9matiques \u00e0 l\u2019Universit\u00e9 Clermont Auvergne, \u00ab Pascal, Roberval et la quadrature de la cyclo\u00efde \u00bb. La cyclo\u00efde a l\u2019\u00e9trange privil\u00e8ge d\u2019avoir \u00e9t\u00e9 &hellip; <a href=\"http:\/\/www.amisdeportroyal.org\/societe\/index.php\/2022\/04\/30\/minutes-de-port-royal-91-pascal-roberval-et-la-quadrature-de-la-cycloide-par-thierry-lambre\/\">Continuer la lecture <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"video","meta":[],"categories":[46],"tags":[],"_links":{"self":[{"href":"http:\/\/www.amisdeportroyal.org\/societe\/index.php\/wp-json\/wp\/v2\/posts\/2970"}],"collection":[{"href":"http:\/\/www.amisdeportroyal.org\/societe\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.amisdeportroyal.org\/societe\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.amisdeportroyal.org\/societe\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.amisdeportroyal.org\/societe\/index.php\/wp-json\/wp\/v2\/comments?post=2970"}],"version-history":[{"count":2,"href":"http:\/\/www.amisdeportroyal.org\/societe\/index.php\/wp-json\/wp\/v2\/posts\/2970\/revisions"}],"predecessor-version":[{"id":2972,"href":"http:\/\/www.amisdeportroyal.org\/societe\/index.php\/wp-json\/wp\/v2\/posts\/2970\/revisions\/2972"}],"wp:attachment":[{"href":"http:\/\/www.amisdeportroyal.org\/societe\/index.php\/wp-json\/wp\/v2\/media?parent=2970"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.amisdeportroyal.org\/societe\/index.php\/wp-json\/wp\/v2\/categories?post=2970"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.amisdeportroyal.org\/societe\/index.php\/wp-json\/wp\/v2\/tags?post=2970"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}