{"id":1176,"date":"2020-05-08T17:25:09","date_gmt":"2020-05-08T15:25:09","guid":{"rendered":"https:\/\/blogs.futura-sciences.com\/lehning\/?p=1176"},"modified":"2020-05-15T10:49:40","modified_gmt":"2020-05-15T08:49:40","slug":"le-probleme-de-napoleon","status":"publish","type":"post","link":"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/05\/08\/le-probleme-de-napoleon\/","title":{"rendered":"Le probl\u00e8me de Napol\u00e9on"},"content":{"rendered":"
Le probl\u00e8me de Napol\u00e9on que nous voulons \u00e9voquer ici n’est pas d’ordre militaire ou climatique, comme celui qui lui fit oublier qu’il pouvait faire froid en Russie en hiver. Non, il est d’ordre math\u00e9matique, de g\u00e9om\u00e9trie tr\u00e8s classique.<\/div>\n

L’\u00e9nonc\u00e9 du probl\u00e8me<\/h2>\n
Le voici : un cercle \u00e9tant donn\u00e9 (sans son centre), il s’agit de le trouver en utilisant seulement un compas (donc sans la fameuse r\u00e8gle des constructions usuelles). Pour ceux qui s’int\u00e9ressent \u00e0 cette question d’un autre temps, le petit dessin qui suit montre comment s’y prendre.<\/div>\n
\n
\"\"
Ce dessin r\u00e9sume la construction du centre du cercle : on choisit A sur le cercle puis on construit les points B, C, … jusqu’\u00e0 G qui est le centre cherch\u00e9.<\/figcaption><\/figure>\n<\/div>\n

Un int\u00e9r\u00eat marqu\u00e9 pour les sciences<\/h2>\n
L’int\u00e9r\u00eat que portait Bonaparte aux sciences ne se limitait pas \u00e0 ce probl\u00e8me dont on ne sait si la solution ci-dessus est de lui ou non. Sous son r\u00e8gne, les sciences \u00e9taient \u00e0 l’honneur et les scientifiques aussi. Ainsi, le grand math\u00e9maticien Joseph Fourier fut aussi pr\u00e9fet de l’Is\u00e8re. A ce titre, on lui doit la route de Grenoble \u00e0 Brian\u00e7on passant pas le col du Lautaret. L’app\u00e9tit de Napol\u00e9on pour les sciences ne prit pas fin avec son r\u00e8gne puisqu’il emporta une vraie biblioth\u00e8que scientifique dans l’\u00eele de Sainte H\u00e9l\u00e8ne, dont le cours de math\u00e9matiques de Sylvestre-Fran\u00e7ois Lacroix, qu’il annota de sa main.<\/div>\n","protected":false},"excerpt":{"rendered":"

Le probl\u00e8me de Napol\u00e9on que nous voulons \u00e9voquer ici n’est pas d’ordre militaire ou climatique, comme celui qui lui fit oublier qu’il pouvait faire froid en Russie en hiver. Non, il est d’ordre math\u00e9matique, de g\u00e9om\u00e9trie tr\u00e8s classique. L’\u00e9nonc\u00e9 du probl\u00e8me Le voici : un cercle \u00e9tant donn\u00e9 (sans son centre), il s’agit de le … Continuer la lecture de Le probl\u00e8me de Napol\u00e9on<\/span> →<\/span><\/a><\/p>\n","protected":false},"author":12,"featured_media":1179,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"categories":[63,29,3],"tags":[425,426,139,427,234],"class_list":["post-1176","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-histoire","category-maths-2","category-sciences","tag-bonaparte","tag-col-du-lautaret","tag-geometrie","tag-joseph-fourier","tag-napoleon"],"yoast_head":"\nLe probl\u00e8me de Napol\u00e9on, 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\/2020\/05\/08\/le-probleme-de-napoleon\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Le probl\u00e8me de Napol\u00e9on, par Herv\u00e9 Lehning\" \/>\n<meta property=\"og:description\" content=\"Le probl\u00e8me de Napol\u00e9on que nous voulons \u00e9voquer ici n’est pas d’ordre militaire ou climatique, comme celui qui lui fit oublier qu’il pouvait faire froid en Russie en hiver. Non, il est d’ordre math\u00e9matique, de g\u00e9om\u00e9trie tr\u00e8s classique. L’\u00e9nonc\u00e9 du probl\u00e8me Le voici : un cercle \u00e9tant donn\u00e9 (sans son centre), il s’agit de le … Continuer la lecture de Le probl\u00e8me de Napol\u00e9on →\" \/>\n<meta property=\"og:url\" content=\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/05\/08\/le-probleme-de-napoleon\/\" \/>\n<meta property=\"og:site_name\" content=\"MATH'MONDE, le blog d'Herv\u00e9 LEHNING, agr\u00e9g\u00e9 de math\u00e9matiques\" \/>\n<meta property=\"article:published_time\" content=\"2020-05-08T15:25:09+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-05-15T08:49:40+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/03\/1801_Antoine-Jean_Gros_-_Bonaparte_on_the_Bridge_at_Arcole-1.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1063\" \/>\n\t<meta property=\"og:image:height\" content=\"709\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/05\/08\/le-probleme-de-napoleon\/\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/05\/08\/le-probleme-de-napoleon\/\",\"name\":\"Le probl\u00e8me de Napol\u00e9on, par Herv\u00e9 Lehning\",\"isPartOf\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/05\/08\/le-probleme-de-napoleon\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/05\/08\/le-probleme-de-napoleon\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/03\/1801_Antoine-Jean_Gros_-_Bonaparte_on_the_Bridge_at_Arcole-1.jpg\",\"datePublished\":\"2020-05-08T15:25:09+00:00\",\"dateModified\":\"2020-05-15T08:49:40+00:00\",\"author\":{\"@id\":\"\"},\"breadcrumb\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/05\/08\/le-probleme-de-napoleon\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/05\/08\/le-probleme-de-napoleon\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/05\/08\/le-probleme-de-napoleon\/#primaryimage\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/03\/1801_Antoine-Jean_Gros_-_Bonaparte_on_the_Bridge_at_Arcole-1.jpg\",\"contentUrl\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/03\/1801_Antoine-Jean_Gros_-_Bonaparte_on_the_Bridge_at_Arcole-1.jpg\",\"width\":1063,\"height\":709},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/05\/08\/le-probleme-de-napoleon\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/blogs.futura-sciences.com\/lehning\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Le probl\u00e8me de Napol\u00e9on\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/#website\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/\",\"name\":\"MATH'MONDE, le blog d'Herv\u00e9 LEHNING, agr\u00e9g\u00e9 de math\u00e9matiques\",\"description\":\"Comment comprendre le monde moderne sans culture math\u00e9matique ? 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