{"id":1860,"date":"2017-03-04T19:51:54","date_gmt":"2017-03-04T18:51:54","guid":{"rendered":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/?p=1860"},"modified":"2023-08-21T09:56:03","modified_gmt":"2023-08-21T07:56:03","slug":"les-enigmes-du-lycee-jules-supervielle","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/2017\/03\/04\/les-enigmes-du-lycee-jules-supervielle\/","title":{"rendered":"\u00c9nigmes Lyc\u00e9e, propos\u00e9es par les \u00e9l\u00e8ves du lyc\u00e9e Supervielle"},"content":{"rendered":"<p>Les \u00e9l\u00e8ves du Lyc\u00e9e Jules Supervielle \u00e0 Oloron Ste-Marie (64), accompagn\u00e9s de leur enseignante Mme Sjollema, ont pr\u00e9par\u00e9 des affiches sur des math\u00e9maticiens&nbsp;d&#8217;origines diff\u00e9rentes (Gauss, Fermat, Turing, Plemelj, Aitzol Lasa, Al Khwarizmi), mais aussi sur un ouvrage chinois.<br \/>\nUne \u00e9nigme est \u00e0 chaque fois associ\u00e9e \u00e0 leur travail, souvent en version bilingue.<br \/>\nMerci \u00e0 eux pour la qualit\u00e9 et l&#8217;originalit\u00e9 de ces&nbsp;pr\u00e9sentations!<\/p>\n<ul>\n<li><a href=\"#lasa\">Aitzol Lasa, matematikaria da !<\/a> (basque)<\/li>\n<li><a href=\"#turing\">Alan Mathison Turing<\/a><\/li>\n<li><a href=\"#villani\">C\u00e9dric Villani<\/a><\/li>\n<li><a href=\"#gauss\">Carl Friedrich Gauss<\/a> (allemand)<\/li>\n<li><a href=\"#plemelj\">Josip Plemelj<\/a> (slov\u00e8ne)<\/li>\n<li><a href=\"#fermat\">Pierre de Fermat<\/a> (latin)<\/li>\n<li><a href=\"#chinois\">Le <em>Jiuzhang suanshu<\/em> ou les <em>Neuf chapitres sur l\u2019art du calcul<\/em><\/a> (chinois)<\/li>\n<li><a href=\"#alkhwarizmi\">Al Khwarizmi<\/a> (arabe)<\/li>\n<\/ul>\n<p><a name=\"lasa\"><\/a><\/p>\n<h1>Aitzol Lasa, matematikaria da&nbsp;!<\/h1>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1861\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Aitzol-Lasa-1024x702.png\" alt=\"\" width=\"1024\" height=\"702\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Aitzol-Lasa-1024x702.png 1024w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Aitzol-Lasa-300x206.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Aitzol-Lasa-768x526.png 768w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Aitzol-Lasa.png 1353w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<h2>\u00c9nigme en basque<\/h2>\n<p>Krimenaren err\u00fcd\u00fcna atzamaiteko, Etxegarai ikuskariak galdekat\u00fc d\u00fct\u00fc gelako lau susmagarriak.<br \/>\nEnekok erraiten d\u00fc: \u00ab&nbsp;e\u2019niz ni !&nbsp;\u00bb<br \/>\nBixentek erraiten d\u00fc : \u00ab&nbsp;Aritz da !&nbsp;\u00bb<br \/>\nAritzek erraiten d\u00fc &nbsp;: \u00ab&nbsp;Iban da&nbsp;\u00bb<br \/>\nIbanek erraiten d\u00fc : \u00ab&nbsp;e\u2019niz ni !&nbsp;\u00bb<br \/>\nEta bai err\u00fcd\u00fcnak gez\u00fcrra erraiten d\u00fc&nbsp;! Asmat\u00fc d\u00fcz\u00fca nor den?<\/p>\n<h2>et en fran\u00e7ais<\/h2>\n<p>Pour d\u00e9couvrir le coupable d&#8217;un crime, l&#8217;inspecteur Etxegarrai interroge&nbsp; quatre suspects pr\u00e9sents dans la salle.<br \/>\n&#8211; Ce n\u2019est pas moi&nbsp;! dit Eneko,<br \/>\n&#8211; C\u2019est Aritz&nbsp;! dit Bixente,<br \/>\n&#8211; C\u2019est Iban&nbsp;! dit Aritz,<br \/>\n&#8211; Ce n\u2019est pas moi&nbsp;! dit Iban.<br \/>\nBien s\u00fbr le coupable est le seul \u00e0 mentir et l&#8217;inspecteur a vite devin\u00e9 de qui il s\u2019agissait\u2026Et vous&nbsp;?<\/p>\n<p><em>Ce travail vous est propos\u00e9 par&nbsp;Sebastien Bonnaci\u00e9, TES.<br \/>\n<a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/AitzolLasa1.pdf\">En version PDF<\/a><\/em><br \/>\n<a name=\"turing\"><\/a><\/p>\n<h1>Alan Mathison Turing<\/h1>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1862\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Alan-Turing.png\" alt=\"\" width=\"1057\" height=\"858\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Alan-Turing.png 1057w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Alan-Turing-300x244.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Alan-Turing-768x623.png 768w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Alan-Turing-1024x831.png 1024w\" sizes=\"auto, (max-width: 1057px) 100vw, 1057px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1863 alignright\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/code-de-c\u00e9sar.jpg\" alt=\"\" width=\"144\" height=\"139\"><\/p>\n<h2>\u00c9nigme<\/h2>\n<p>Le codage de la machine Enigma des nazis a \u00e9t\u00e9 cass\u00e9 par Alan Turing. Comme cela est vraiment difficile, nous allons nous entra\u00eener avec un codage plus simple: le chiffrement de C\u00e9sar.<\/p>\n<p>Le chiffrement de C\u00e9sar a \u00e9t\u00e9 utilis\u00e9 par Julius C\u00e9sar et ses contemporains pour s\u2019envoyer des messages en secret. Voici un citation de la th\u00e8se d\u2019Alan Turing, traduite en Fran\u00e7ais, encod\u00e9e avec le chiffrement de C\u00e9sar<\/p>\n<p>A vous de la d\u00e9coder&nbsp;!!<\/p>\n<p><strong>\u00ab&nbsp;ABHF CBHI BAFR FCRE REDH RYRF ZNPU VARF SVAV EBAG CNEE VINY VFRE NIRP YRFU BZZR FQNA FGBH FYRF QBZN VARF CHER ZRAG VAGRY YRPG HRYF .&nbsp;\u00bb&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><em>Ce travail vous est propos\u00e9 par&nbsp;Victor Yu Samuel Richardson, 1S<br \/>\nEn version PDF&nbsp;<a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/alan-turing.pdf\" target=\"_blank\" rel=\"noopener\">alan turing<\/a><\/em><\/p>\n<p><a name=\"villani\"><\/a><\/p>\n<h1>C\u00e9dric Villani<\/h1>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1868\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Villani-1.png\" alt=\"\" width=\"1356\" height=\"992\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Villani-1.png 1356w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Villani-1-300x219.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Villani-1-768x562.png 768w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Villani-1-1024x749.png 1024w\" sizes=\"auto, (max-width: 1356px) 100vw, 1356px\" \/><\/p>\n<h2>\u00c9nigme<\/h2>\n<p><strong>Palindrome<\/strong>&nbsp;: se dit d&#8217;un mot, d&#8217;un vers, d&#8217;une phrase que l&#8217;on peut lire indiff\u00e9remment de gauche \u00e0 droite ou de droite \u00e0 gauche. (Exemple&nbsp;: le mot <em>ressasser <\/em>ou la phrase <em>\u00c9sope reste ici et se repose.<\/em>)<br \/>\nOn peut g\u00e9n\u00e9rer des palindromes num\u00e9riques comme par exemple&nbsp; le palindrome \u00e0 5 chiffres&nbsp;: 12321<br \/>\nTrouver le nombre exact de palindrome \u00e0 351 chiffres<\/p>\n<p><em>Ce travail vous est propos\u00e9 par Luke Dussart, TES<br \/>\n<a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Cedrix-villani.pdf\" target=\"_blank\" rel=\"noopener\">En version PDF<\/a>&nbsp;<\/em><br \/>\n<a name=\"gauss\"><\/a><\/p>\n<h1>Carl Friedrich Gauss<\/h1>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1869\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Gauss.png\" alt=\"\" width=\"1356\" height=\"945\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Gauss.png 1356w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Gauss-300x209.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Gauss-768x535.png 768w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Gauss-1024x714.png 1024w\" sizes=\"auto, (max-width: 1356px) 100vw, 1356px\" \/><\/p>\n<h2>\u00c9nigme en allemand<\/h2>\n<p>Peter : Opa, heute ist mein Geburtstag !<br \/>\nRodol : Alles Gute zum Geburtstag ! Wie alt bist du ?<br \/>\nPeter : 9 Jahre &#8230;also 9 Geschenke !<br \/>\nRodolf : also 10 Jahre, 10 Geschenke ?<br \/>\nPeter : Ja, genau.<br \/>\nRodolf : Hast du ein Gl\u00fcck ! \u2026<br \/>\nDann 100 Jahre, 100 Geschenke ? Das ist viel!<\/p>\n<p>Nach ein paar Minuten fragt sich der \u00e4ltere Mensch, wie viele Geschenke er sein Leben lang bis zu seinem 100. Geburtstag haben wird. K\u00f6nnen Sie ihm helfen, die Antwort zu finden?<\/p>\n<h2>et en fran\u00e7ais<\/h2>\n<p>Peter&nbsp;: Papy, c&#8217;est mon anniversaire aujourd&#8217;hui !<br \/>\nRodolf&nbsp;: Ah, oui? Bien, mon petit, quel \u00e2ge fais-tu ?<br \/>\nPeter&nbsp;: 9 ans&nbsp;! Ce qui veut dire 9 cadeaux&nbsp;!<br \/>\nRodolf&nbsp;: Donc&#8230;10 ans, 10 cadeaux&nbsp;!<br \/>\nPeter&nbsp;: Oui, c&#8217;est \u00e7a, Papy&nbsp;!<br \/>\nRodolf&nbsp;: Tu en as de la chance&nbsp;! &#8230;alors 100 ans, 100 cadeaux&nbsp;? C&#8217;est \u00e9norme&nbsp;!<\/p>\n<p>Apr\u00e8s quelques minutes, Rodolf se demandait combien aura-t-il re\u00e7u de cadeaux toute sa vie jusqu&#8217;\u00e0 ses 100 ans. Pouvez vous l&#8217;aider \u00e0 trouver la r\u00e9ponse&nbsp;?<\/p>\n<p><em>Ce travail vous est propos\u00e9 par Aniska Hold, Tiphaine, Nouvel Colin (seconde)&nbsp; et leur professeur d&#8217;allemand Mechtild Hartner<br \/>\n<a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/gauss-semaine-math\u00e9matique-allemand.pdf\" target=\"_blank\" rel=\"noopener\">En version PDF&nbsp;<\/a><\/em><\/p>\n<p><a name=\"plemelj\"><\/a><\/p>\n<h1>Josip Plemelj<\/h1>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1873\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Josip.png\" alt=\"\" width=\"1640\" height=\"915\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Josip.png 1640w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Josip-300x167.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Josip-768x428.png 768w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Josip-1024x571.png 1024w\" sizes=\"auto, (max-width: 1640px) 100vw, 1640px\" \/><\/p>\n<h2>\u00c9nigme<\/h2>\n<p>Combien de diagonales poss\u00e8de un heptagone&nbsp; et quel polygone compte 230 diagonales&nbsp;?<br \/>\nEn slov\u00e8ne&nbsp;:&nbsp;&nbsp;Koliko dijagonala ima jedan heptagon i koji poligon ima 230 diagonala ?<\/p>\n<p><em>Ce travail vous est propos\u00e9 par&nbsp;Koljic Mirnesa, 1S<br \/>\n<a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/plemelj1-finiii-1.pdf\">Version PDF<\/a>&nbsp;<\/em><\/p>\n<p><a name=\"fermat\"><\/a><\/p>\n<h1>Pierre de Fermat<\/h1>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1875\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-1.png\" alt=\"\" width=\"1296\" height=\"753\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-1.png 1296w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-1-300x174.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-1-768x446.png 768w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-1-1024x595.png 1024w\" sizes=\"auto, (max-width: 1296px) 100vw, 1296px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1876\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-2.png\" alt=\"\" width=\"1296\" height=\"753\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-2.png 1296w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-2-300x174.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-2-768x446.png 768w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-2-1024x595.png 1024w\" sizes=\"auto, (max-width: 1296px) 100vw, 1296px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1877\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-3.png\" alt=\"\" width=\"1296\" height=\"583\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-3.png 1296w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-3-300x135.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-3-768x345.png 768w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-3-1024x461.png 1024w\" sizes=\"auto, (max-width: 1296px) 100vw, 1296px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1878\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-4.png\" alt=\"\" width=\"1312\" height=\"818\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-4.png 1312w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-4-300x187.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-4-768x479.png 768w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Fermat-4-1024x638.png 1024w\" sizes=\"auto, (max-width: 1312px) 100vw, 1312px\" \/><\/p>\n<p><em>Ce travail vous est propos\u00e9 par&nbsp; le groupe des latinistes et leur professeur Sylvie Lescarret<br \/>\n<a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/fermattraduitpar\u00e9l\u00e8ves.pdf\">En version PDF<\/a>&nbsp;<\/em><\/p>\n<p><a name=\"chinois\"><\/a><\/p>\n<h1>Le <em>Jiuzhang suanshu<\/em>&nbsp;ou les <em>Neuf chapitres sur l\u2019art du calcul<\/em><\/h1>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1880\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/chinois.png\" alt=\"\" width=\"1656\" height=\"988\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/chinois.png 1656w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/chinois-300x179.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/chinois-768x458.png 768w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/chinois-1024x611.png 1024w\" sizes=\"auto, (max-width: 1656px) 100vw, 1656px\" \/><\/p>\n<h2>Le probl\u00e8me de la <strong>ville carr\u00e9e<\/strong> (choisi parmi les 246 probl\u00e8mes)<\/h2>\n<p>\u6709\u4e00\u4e2a\u672a\u77e5\u5927\u5c0f\u7684\u57ce\u6c60\uff0c\u5728\u6bcf\u6d4b\u57ce\u5899\u7684\u4e2d\u95f4\u90fd\u6709\u4e00\u6247\u95e8\u3002\u57ce\u5916\u5f80\u5317\u8d70\u4e8c\u5341\u6b65\uff0c\u6709\u4e00\u68f5\u6811\u3002\u5982\u679c\u4f60\u4ece\u5357\u95e8\u51fa\u57ce\uff0c\u5411\u5357\u8d70\u5341\u56db\u6b65\u540e\uff0c\u518d\u5411\u897f\u8d70\u4e00\u5343\u4e03\u767e\u4e03\u5341\u4e94\u6b65\uff0c\u5c31\u53ef\u4ee5\u5f00\u59cb\u6a21\u7cca\u7684\u770b\u89c1\u6811\u7684\u5f71\u5b50\u3002<\/p>\n<p>Une ville carr\u00e9e de dimension inconnue comprend une porte au milieu de chaque cot\u00e9.<br \/>\nA l&#8217;ext\u00e9rieur de la ville, apr\u00e8s la sortie nord, \u00e0 vingt pas direction nord, se trouve un arbre.<br \/>\nSi tu quittes la ville par la porte sud; marche quatorze pas vers le sud puis 1775 vers l&#8217;ouest et tu commenceras tout juste \u00e0 apercevoir l&#8217;arbre.<br \/>\nQuelle sont les dimensions de cette ville?<\/p>\n<p><em>Ce travail vous est propos\u00e9 par&nbsp;Jingyuan Xiao, 2de<\/em><\/p>\n<p><a name=\"alkhwarizmi\"><\/a><\/p>\n<h1>Al Khwarizmi &#8211; &#8216;Al Kit\u0101b al mokhtasar fi his\u0101b al jabr wa-l-moq\u0101bala&#8217;<\/h1>\n<p><em>Ce travail vous est propos\u00e9 par&nbsp;Isma\u00ebl Lagoubi, ancien \u00e9l\u00e8ve du lyc\u00e9e Jules Supervielle<\/em><\/p>\n<p><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Al-Khwarizmi-Traduction-Al-Kit\u0101b-al-mokhtasar-fi-his\u0101b-al-jabr-wa-l-moq\u0101bala.pdf\" target=\"_blank\" rel=\"noopener\">En version PDF<\/a><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1882\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Al-Khwarizmi-Traduction-Al-Kit\u0101b-al-mokhtasar-fi-his\u0101b-al-jabr-wa-l-moq\u0101bala.png\" alt=\"\" width=\"1693\" height=\"602\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Al-Khwarizmi-Traduction-Al-Kit\u0101b-al-mokhtasar-fi-his\u0101b-al-jabr-wa-l-moq\u0101bala.png 1693w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Al-Khwarizmi-Traduction-Al-Kit\u0101b-al-mokhtasar-fi-his\u0101b-al-jabr-wa-l-moq\u0101bala-300x107.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Al-Khwarizmi-Traduction-Al-Kit\u0101b-al-mokhtasar-fi-his\u0101b-al-jabr-wa-l-moq\u0101bala-768x273.png 768w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2017\/03\/Al-Khwarizmi-Traduction-Al-Kit\u0101b-al-mokhtasar-fi-his\u0101b-al-jabr-wa-l-moq\u0101bala-1024x364.png 1024w\" sizes=\"auto, (max-width: 1693px) 100vw, 1693px\" \/><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Les \u00e9l\u00e8ves du Lyc\u00e9e Jules Supervielle \u00e0 Oloron Ste-Marie (64), accompagn\u00e9s de leur enseignante Mme Sjollema, ont pr\u00e9par\u00e9 des affiches sur des math\u00e9maticiens&nbsp;d&#8217;origines diff\u00e9rentes (Gauss, Fermat, Turing, Plemelj, Aitzol Lasa, Al Khwarizmi), mais aussi sur un ouvrage chinois. Une \u00e9nigme est \u00e0 chaque fois associ\u00e9e \u00e0 leur travail, souvent en version bilingue. Merci \u00e0 eux &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/2017\/03\/04\/les-enigmes-du-lycee-jules-supervielle\/\">Lire la suite<\/a><\/p>\n","protected":false},"author":64,"featured_media":1863,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22,6,9,24,13],"tags":[],"class_list":["post-1860","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-annee-2017","category-dans-les-etablissements","category-enigmes","category-maths-et-langages","category-pyrenees-atlantiques-64","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts\/1860","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/users\/64"}],"replies":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/comments?post=1860"}],"version-history":[{"count":15,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts\/1860\/revisions"}],"predecessor-version":[{"id":6271,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts\/1860\/revisions\/6271"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/media\/1863"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/media?parent=1860"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/categories?post=1860"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/tags?post=1860"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}