{"id":396,"date":"2018-07-12T09:45:37","date_gmt":"2018-07-12T07:45:37","guid":{"rendered":"https:\/\/blogs.futura-sciences.com\/lehning\/?p=396"},"modified":"2018-08-19T10:09:34","modified_gmt":"2018-08-19T08:09:34","slug":"au-japon-un-limacon-de-pascal-a-vos-pieds","status":"publish","type":"post","link":"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/07\/12\/au-japon-un-limacon-de-pascal-a-vos-pieds\/","title":{"rendered":"Au Japon, un lima\u00e7on de Pascal \u00e0 vos pieds"},"content":{"rendered":"

En se promenant au Japon, l’amateur de courbes math\u00e9matiques remarquera une courbe tr\u00e8s particuli\u00e8re sur des plaques en fonte au sol.<\/p>\n

\"\"<\/p>\n

L’inscription NTT, acronyme de Nippon Telegraph and Telephon, en dessous de cette courbe montre qu’il s’agit du logo de cette compagnie de t\u00e9l\u00e9phone.<\/p>\n

La cardio\u00efde<\/h2>\n

\u00c9tienne Pascal (1588 – 1651), le p\u00e8re de Blaise s’est int\u00e9ress\u00e9 aux courbes engendr\u00e9es par un point li\u00e9 \u00e0 un cercle roulant sans glisser autour d’un cercle de m\u00eame rayon. Le plus c\u00e9l\u00e8bre de ces lima\u00e7ons est en forme de c\u0153ur et, pour cette raison, porte le nom de cardio\u00efde.<\/p>\n

\"\"
La cardio\u00efde est la trajectoire d’un point d’un cercle roulant sans glisser sur un cercle de m\u00eame rayon.<\/figcaption><\/figure>\n

Sa construction est r\u00e9sum\u00e9e dans le dessin suivant :<\/p>\n

\"\"
Le cercle rouge roule sans glisser sur le bleu. Les positions 1, 2 et 3 donnent successivement les points cercl\u00e9s et donc la cardio\u00efde.<\/figcaption><\/figure>\n

Le lima\u00e7on de NTT<\/h2>\n

On obtient le logo de NTT en consid\u00e9rant la trajectoire d’un point li\u00e9 au cercle rouge mais \u00e0 l’ext\u00e9rieur.<\/p>\n

\"\"<\/p>\n

Si on utilise un point \u00e0 l’int\u00e9rieur, on obtient une courbe en forme de haricot.<\/p>\n","protected":false},"excerpt":{"rendered":"

En se promenant au Japon, l’amateur de courbes math\u00e9matiques remarquera une courbe tr\u00e8s particuli\u00e8re sur des plaques en fonte au sol. L’inscription NTT, acronyme de Nippon Telegraph and Telephon, en dessous de cette courbe montre qu’il s’agit du logo de cette compagnie de t\u00e9l\u00e9phone. La cardio\u00efde \u00c9tienne Pascal (1588 – 1651), le p\u00e8re de Blaise … Continuer la lecture de Au Japon, un lima\u00e7on de Pascal \u00e0 vos pieds<\/span> →<\/span><\/a><\/p>\n","protected":false},"author":12,"featured_media":394,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"categories":[12,29,10],"tags":[158,140,159,40],"class_list":["post-396","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-graphismes","category-maths-2","category-voyages","tag-courbes","tag-japon","tag-logo","tag-mathematiques"],"yoast_head":"\nAu Japon, un lima\u00e7on de Pascal \u00e0 vos pieds, par Herv\u00e9 Lehning<\/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:\/\/blogs.futura-sciences.com\/lehning\/2018\/07\/12\/au-japon-un-limacon-de-pascal-a-vos-pieds\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Au Japon, un lima\u00e7on de Pascal \u00e0 vos pieds, par Herv\u00e9 Lehning\" \/>\n<meta property=\"og:description\" content=\"En se promenant au Japon, l’amateur de courbes math\u00e9matiques remarquera une courbe tr\u00e8s particuli\u00e8re sur des plaques en fonte au sol. 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