{"id":2903,"date":"2020-04-05T10:34:22","date_gmt":"2020-04-05T08:34:22","guid":{"rendered":"https:\/\/mediascol.ac-clermont.fr\/college-denis-diderot-aigueperse\/?p=2903"},"modified":"2020-04-12T21:23:43","modified_gmt":"2020-04-12T19:23:43","slug":"archimede","status":"publish","type":"post","link":"https:\/\/mediascol.ac-clermont.fr\/college-denis-diderot-aigueperse\/2020\/04\/05\/archimede\/","title":{"rendered":"Archim\u00e8de"},"content":{"rendered":"\n

Archim\u00e8de est sorti de sa tombe pour nous r\u00e9v\u00e9ler tous ses secrets.<\/p>\n\n\n\n

Evalacat:<\/em><\/strong> Archim\u00e8de de Syracuse, vous \u00eates n\u00e9 \u00e0 Syracuse vers 287 av. J.-C. et mort en cette m\u00eame ville en 212 av. J.-C. et votre p\u00e8re s’appelait Phidias et il \u00e9tait astronome. Je peux me permettre de vous appeler Archi?<\/p>\n\n\n\n

Archim\u00e8de:<\/em><\/strong> Oui!<\/p>\n\n\n\n

Evalacat:<\/strong><\/em> Vous avez \u00e9t\u00e9 un grand math\u00e9maticien de votre temps, mais (je r\u00e9fl\u00e9chis) quelles ont \u00e9t\u00e9s vos plus grands travaux?<\/p>\n\n\n\n

\"\"<\/figure><\/div>\n\n\n\n

Archi:<\/em><\/strong> La d\u00e9marche d\u2019Archim\u00e8de<\/em>. Elle s\u2019inspire de la m\u00e9thode d\u2019exhaustion<\/strong> due \u00e0 Eudoxe de Cnide<\/em>.
Elle consiste \u00e0 encadrer un cercle de rayon 1 par des polygones r\u00e9guliers dont il sait calculer le p\u00e9rim\u00e8tre de fa\u00e7on pr\u00e9cise.
Il applique cette m\u00e9thode en prenant des polygones \u00e0 96 c\u00f4t\u00e9s et obtient une valeur approch\u00e9e de la circonf\u00e9rence pour en d\u00e9duire un encadrement de Pi : <\/p>\n\n\n\n

Evalacat:<\/em><\/strong> Whaou! Vous avez \u00e9crit le nombre Pi! Mais il est \u00e9gal \u00e0 combien?<\/p>\n\n\n\n

Archi:<\/em><\/strong> 3.1415926535897932384626433832795028841971693993751058209749445923078164062862
089986280348253421170679821480865132823066470938446095505822317253594081284811
174502841027019385211055596446229489549303819644288109756659334461284756482337
867831652712019091456485669234603486104543266482133936072602491412737245870066
063155881748815209209628292540917153643678925903600113305305488204665213841469
519415116094330572703657595919530921861173819326117931051185480744623799627495
673518857527248912279381830119491298336733624406566430860213949463952247371907
021798609437027705392171762931767523846748184676694051320005681271452635608277
857713427577896091736371787214684409012249534301465495853710507922796892589235
420199561121290219608640344181598136297747713099605187072113499999983729780499
510597317328160963185950244594553469083026425223082533446850352619311881710100
031378387528865875332083814206171776691473035982534904287554687311595628638823
537875937519577818577805321712268066130019278766111959092164201989380952572010
6548586327886593615338182796823030195203530185296899577362259941 ect…<\/p>\n\n\n\n

Evalacat:<\/em><\/strong> Il y a combien de nombres dans Pi ?<\/p>\n\n\n\n

Arc<\/em><\/strong>hi:<\/strong><\/em> Des tonnes ! C’est pour cela que nous y r\u00e9duisons \u00e0 3.14 !<\/p>\n\n\n\n

Evalacat:<\/em><\/strong> Trop forts les maths !<\/p>\n\n\n\n

Arc<\/em><\/strong>hi:<\/strong><\/em> C’est aussi simple que \u00e7a. Au revoir les math\u00e9maticiens.<\/p>\n","protected":false},"excerpt":{"rendered":"

Archim\u00e8de est sorti de sa tombe pour nous r\u00e9v\u00e9ler tous ses secrets. Evalacat: Archim\u00e8de de Syracuse, vous \u00eates n\u00e9 \u00e0 Syracuse vers 287 av. J.-C. et mort en cette m\u00eame ville en 212 av. J.-C. et votre p\u00e8re s’appelait Phidias et il \u00e9tait astronome. Je peux me permettre de vous appeler Archi? Archim\u00e8de: Oui! Evalacat: […]<\/p>\n","protected":false},"author":95,"featured_media":3250,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":{"0":"post-2903","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-non-classe","8":"czr-hentry"},"_links":{"self":[{"href":"https:\/\/mediascol.ac-clermont.fr\/college-denis-diderot-aigueperse\/wp-json\/wp\/v2\/posts\/2903","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mediascol.ac-clermont.fr\/college-denis-diderot-aigueperse\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mediascol.ac-clermont.fr\/college-denis-diderot-aigueperse\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mediascol.ac-clermont.fr\/college-denis-diderot-aigueperse\/wp-json\/wp\/v2\/users\/95"}],"replies":[{"embeddable":true,"href":"https:\/\/mediascol.ac-clermont.fr\/college-denis-diderot-aigueperse\/wp-json\/wp\/v2\/comments?post=2903"}],"version-history":[{"count":2,"href":"https:\/\/mediascol.ac-clermont.fr\/college-denis-diderot-aigueperse\/wp-json\/wp\/v2\/posts\/2903\/revisions"}],"predecessor-version":[{"id":3031,"href":"https:\/\/mediascol.ac-clermont.fr\/college-denis-diderot-aigueperse\/wp-json\/wp\/v2\/posts\/2903\/revisions\/3031"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mediascol.ac-clermont.fr\/college-denis-diderot-aigueperse\/wp-json\/wp\/v2\/media\/3250"}],"wp:attachment":[{"href":"https:\/\/mediascol.ac-clermont.fr\/college-denis-diderot-aigueperse\/wp-json\/wp\/v2\/media?parent=2903"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mediascol.ac-clermont.fr\/college-denis-diderot-aigueperse\/wp-json\/wp\/v2\/categories?post=2903"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mediascol.ac-clermont.fr\/college-denis-diderot-aigueperse\/wp-json\/wp\/v2\/tags?post=2903"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}