{"id":3078,"date":"2024-03-18T08:00:45","date_gmt":"2024-03-18T07:00:45","guid":{"rendered":"https:\/\/lesminis.fr\/blog\/?p=3078"},"modified":"2024-03-18T10:33:22","modified_gmt":"2024-03-18T09:33:22","slug":"archimede-genie-grec-antique-decouverte-ludique","status":"publish","type":"post","link":"https:\/\/lesminis.fr\/blog\/archimede-genie-grec-antique-decouverte-ludique\/","title":{"rendered":"\u00c0 la d\u00e9couverte d&rsquo;Archim\u00e8de : Le g\u00e9nie de l&rsquo;Antiquit\u00e9"},"content":{"rendered":"<p>Aujourd&rsquo;hui, nous allons plonger dans l&rsquo;univers fascinant d&rsquo;Archim\u00e8de, un des plus grands scientifiques de l&rsquo;Antiquit\u00e9. Imagine-toi en Sicile, il y a plus de 2200 ans, o\u00f9 vivait Archim\u00e8de, un g\u00e9nie qui a utilis\u00e9 la g\u00e9om\u00e9trie pour d\u00e9voiler les myst\u00e8res du monde. Es-tu pr\u00eat \u00e0 d\u00e9couvrir comment il a fait ? Alors, c&rsquo;est parti pour un voyage extraordinaire !<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_83 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/lesminis.fr\/blog\/archimede-genie-grec-antique-decouverte-ludique\/#Qui_etait_Archimede\" >Qui \u00e9tait Archim\u00e8de ?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/lesminis.fr\/blog\/archimede-genie-grec-antique-decouverte-ludique\/#La_Magie_des_Formes\" >La Magie des Formes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/lesminis.fr\/blog\/archimede-genie-grec-antique-decouverte-ludique\/#La_couronne_du_roi_Hieron\" >La couronne du roi Hi\u00e9ron<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/lesminis.fr\/blog\/archimede-genie-grec-antique-decouverte-ludique\/#Le_Principe_dArchimede\" >Le Principe d&rsquo;Archim\u00e8de<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/lesminis.fr\/blog\/archimede-genie-grec-antique-decouverte-ludique\/#La_Spirale_dArchimede\" >La Spirale d&rsquo;Archim\u00e8de<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/lesminis.fr\/blog\/archimede-genie-grec-antique-decouverte-ludique\/#La_formule_de_la_parabole\" >La formule de la parabole<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/lesminis.fr\/blog\/archimede-genie-grec-antique-decouverte-ludique\/#La_Machine_dArchimede\" >La Machine d&rsquo;Archim\u00e8de<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/lesminis.fr\/blog\/archimede-genie-grec-antique-decouverte-ludique\/#Le_levier_et_le_cri_legendaire\" >Le levier et le cri l\u00e9gendaire<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/lesminis.fr\/blog\/archimede-genie-grec-antique-decouverte-ludique\/#La_fin_tragique_du_savant\" >La fin tragique du savant<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/lesminis.fr\/blog\/archimede-genie-grec-antique-decouverte-ludique\/#LHeritage_dArchimede\" >L&rsquo;H\u00e9ritage d&rsquo;Archim\u00e8de<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/lesminis.fr\/blog\/archimede-genie-grec-antique-decouverte-ludique\/#Conclusion\" >Conclusion<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Qui_etait_Archimede\"><\/span>Qui \u00e9tait Archim\u00e8de ?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"whitespace-pre-wrap\"><strong>Archim\u00e8de<\/strong> est l&rsquo;un des plus grands math\u00e9maticiens de l&rsquo;histoire. N\u00e9 vers -287 \u00e0 Syracuse en Sicile, ses inventions et d\u00e9couvertes en m\u00e9canique, en g\u00e9om\u00e9trie et en physique font de lui un v\u00e9ritable g\u00e9nie.<\/p>\n<p class=\"whitespace-pre-wrap\">On lui doit entre autres :<\/p>\n<ul class=\"list-disc pl-8 space-y-2\">\n<li class=\"whitespace-normal\">Le fameux\u00a0<strong>principe d&rsquo;Archim\u00e8de<\/strong>\u00a0sur la pouss\u00e9e que l&rsquo;eau exerce sur les corps<\/li>\n<li class=\"whitespace-normal\">L&rsquo;explication du\u00a0<strong>levier<\/strong><\/li>\n<li class=\"whitespace-normal\">La mise au point d&rsquo;ing\u00e9nieux syst\u00e8mes de poulies<\/li>\n<li class=\"whitespace-normal\">La formule pour calculer l&rsquo;<strong>aire d&rsquo;un parabolo\u00efde<\/strong><\/li>\n<\/ul>\n<p class=\"whitespace-pre-wrap\">Mais Archim\u00e8de a aussi sauv\u00e9 sa ville de Syracuse en construisant des machines de guerre pour repousser les Romains lors de violents si\u00e8ges. Voil\u00e0 pourquoi on le surnomme parfois le <strong>Merlin l&rsquo;Enchanteur de l&rsquo;Antiquit\u00e9<\/strong> !<\/p>\n<h2><span class=\"ez-toc-section\" id=\"La_Magie_des_Formes\"><\/span>La Magie des Formes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3328\" src=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-3.webp\" alt=\"A la decouverte d'Archim\u00e8de reportage pedagogique pour enfant la magie des formes\" width=\"1080\" height=\"617\" srcset=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-3.webp 1080w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-3-300x171.webp 300w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-3-1024x585.webp 1024w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-3-768x439.webp 768w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-3-735x420.webp 735w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-3-696x398.webp 696w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-3-1068x610.webp 1068w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p>Archim\u00e8de a d\u00e9couvert et prouv\u00e9 plusieurs principes g\u00e9om\u00e9triques qui sont encore enseign\u00e9s aujourd&rsquo;hui. Par exemple, il a trouv\u00e9 une mani\u00e8re de calculer l&rsquo;aire d&rsquo;un cercle, ainsi que le volume et la surface d&rsquo;une sph\u00e8re. Mais comment faisait-il ? Avec rien d&rsquo;autre que son esprit brillant et une profonde compr\u00e9hension des formes g\u00e9om\u00e9triques !<\/p>\n<h2><span class=\"ez-toc-section\" id=\"La_couronne_du_roi_Hieron\"><\/span>La couronne du roi Hi\u00e9ron<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"whitespace-pre-wrap\">L&rsquo;histoire la plus c\u00e9l\u00e8bre \u00e0 propos d&rsquo;Archim\u00e8de est sans doute celle de la <strong>couronne du roi Hi\u00e9ron, <\/strong>rapport\u00e9e par des auteurs post\u00e9rieurs comme Vitruve, mais dont l&rsquo;authenticit\u00e9 n&rsquo;est pas formellement \u00e9tablie. Voici comment cela se serait pass\u00e9 selon la l\u00e9gende.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3327\" src=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-2.webp\" alt=\"A la decouverte d'Archim\u00e8de reportage pedagogique pour enfant roi courrone\" width=\"1080\" height=\"617\" srcset=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-2.webp 1080w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-2-300x171.webp 300w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-2-1024x585.webp 1024w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-2-768x439.webp 768w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-2-735x420.webp 735w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-2-696x398.webp 696w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-2-1068x610.webp 1068w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p class=\"whitespace-pre-wrap\">Hi\u00e9ron II est le roi de Syracuse. Il charge un orf\u00e8vre de fabriquer une nouvelle couronne royale, destin\u00e9e aux c\u00e9r\u00e9monies officielles. Le roi fournit la quantit\u00e9 exacte d&rsquo;or n\u00e9cessaire \u00e0 la fabrication.<\/p>\n<p class=\"whitespace-pre-wrap\">Mais une fois le travail termin\u00e9, il a un soup\u00e7on : et si l&rsquo;orf\u00e8vre avait gard\u00e9 une partie de l&rsquo;or, pour le remplacer par un m\u00e9tal moins cher comme l&rsquo;argent ?<\/p>\n<p class=\"whitespace-pre-wrap\">Le probl\u00e8me est que la couronne est travaill\u00e9e de fa\u00e7on tr\u00e8s orn\u00e9e, et il semble impossible de v\u00e9rifier directement quelle quantit\u00e9 d&rsquo;or elle contient r\u00e9ellement.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3336\" src=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-17.webp\" alt=\"Roi archim\u00e8de couronne\" width=\"1080\" height=\"617\" srcset=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-17.webp 1080w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-17-300x171.webp 300w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-17-1024x585.webp 1024w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-17-768x439.webp 768w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-17-735x420.webp 735w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-17-696x398.webp 696w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-17-1068x610.webp 1068w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p class=\"whitespace-pre-wrap\">Hi\u00e9ron demande alors \u00e0 <strong>Archim\u00e8de<\/strong> de trouver une solution. Et notre savant a comme un d\u00e9clic alors qu&rsquo;il prend un bain : en voyant l&rsquo;eau d\u00e9border, il a soudain l&rsquo;intuition qui m\u00e8nera \u00e0 la c\u00e9l\u00e8bre loi qui porte son nom !<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Le_Principe_dArchimede\"><\/span>Le Principe d&rsquo;Archim\u00e8de<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Un de ses exploits les plus c\u00e9l\u00e8bres est le principe d&rsquo;Archim\u00e8de. Alors qu&rsquo;il prenait un bain, il a r\u00e9alis\u00e9 que la quantit\u00e9 d&rsquo;eau d\u00e9plac\u00e9e \u00e9tait \u00e9gale au volume de son propre corps immerg\u00e9. Cette d\u00e9couverte l&rsquo;a tellement excit\u00e9 qu&rsquo;il aurait couru nu dans les rues en criant \u00ab\u00a0Eur\u00eaka !\u00a0\u00bb (j&rsquo;ai trouv\u00e9 !).<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3335\" src=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-13.webp\" alt=\"Archim\u00e8de Eur\u00e9ka\" width=\"1080\" height=\"617\" srcset=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-13.webp 1080w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-13-300x171.webp 300w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-13-1024x585.webp 1024w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-13-768x439.webp 768w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-13-735x420.webp 735w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-13-696x398.webp 696w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-13-1068x610.webp 1068w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p>Ce principe est \u00e0 la base de la science moderne de la flottabilit\u00e9.<\/p>\n<p class=\"whitespace-pre-wrap\">Ce fameux <strong>principe<\/strong> stipule que :<\/p>\n<blockquote>\n<p class=\"whitespace-pre-wrap\"><em>Tout corps plong\u00e9 dans un fluide subit une pouss\u00e9e verticale de la part de ce fluide, pouss\u00e9e qui est \u00e9gale au poids du volume de fluide d\u00e9plac\u00e9.<\/em><\/p>\n<\/blockquote>\n<p class=\"whitespace-pre-wrap\">Autrement dit, plus le corps occupe de place, plus la pouss\u00e9e qu&rsquo;il subit est grande. Et cette pouss\u00e9e ne d\u00e9pend pas du poids du corps lui-m\u00eame, mais seulement du volume d&rsquo;eau d\u00e9plac\u00e9.<\/p>\n<p class=\"whitespace-pre-wrap\">Eur\u00eaka ! Archim\u00e8de avait trouv\u00e9. Pour d\u00e9masquer l&rsquo;orf\u00e8vre malhonn\u00eate, il suffisait de plonger la couronne dans de l&rsquo;eau, et de mesurer le volume d&rsquo;eau d\u00e9plac\u00e9. Puis de faire la m\u00eame chose avec un lingot d&rsquo;or de poids \u00e9quivalent \u00e0 ce qui avait \u00e9t\u00e9 fourni \u00e0 l&rsquo;orf\u00e8vre.<\/p>\n<p class=\"whitespace-pre-wrap\">Si la couronne contenait bien uniquement ce lingot d&rsquo;or, elle aurait d\u00fb d\u00e9placer exactement le m\u00eame volume d&rsquo;eau. Or, ce n&rsquo;\u00e9tait pas le cas : preuve qu&rsquo;il y avait bien un probl\u00e8me, l&rsquo;orf\u00e8vre avait substitu\u00e9 une partie de l&rsquo;or par quelque chose de moins lourd !<\/p>\n<p class=\"whitespace-pre-wrap\">Gr\u00e2ce \u00e0 son g\u00e9nie, Archim\u00e8de venait de jeter les bases de ce qu&rsquo;on appelle aujourd&rsquo;hui la physique des fluides. Le principe qui porte son nom est toujours l&rsquo;un des fondements de cette discipline.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"La_Spirale_dArchimede\"><\/span>La Spirale d&rsquo;Archim\u00e8de<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3329\" src=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-4.webp\" alt=\"A la decouverte d'Archim\u00e8de reportage pedagogique pour enfant\" width=\"1080\" height=\"617\" srcset=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-4.webp 1080w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-4-300x171.webp 300w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-4-1024x585.webp 1024w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-4-768x439.webp 768w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-4-735x420.webp 735w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-4-696x398.webp 696w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-4-1068x610.webp 1068w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p>Archim\u00e8de a \u00e9galement \u00e9tudi\u00e9 les spirales. Il a d\u00e9crit une spirale qui porte maintenant son nom : la spirale d&rsquo;Archim\u00e8de. C&rsquo;est une courbe qui s&rsquo;\u00e9loigne de son centre \u00e0 mesure qu&rsquo;elle tourne autour. Cette spirale a des applications dans de nombreux domaines, de l&rsquo;astronomie \u00e0 l&rsquo;ing\u00e9nierie.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3337\" src=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-18.webp\" alt=\"Tou savoir sur archim\u00e8de\" width=\"1080\" height=\"617\" srcset=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-18.webp 1080w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-18-300x171.webp 300w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-18-1024x585.webp 1024w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-18-768x439.webp 768w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-18-735x420.webp 735w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-18-696x398.webp 696w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-18-1068x610.webp 1068w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"La_formule_de_la_parabole\"><\/span>La formule de la parabole<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"whitespace-pre-wrap\">Les d\u00e9couvertes d&rsquo;Archim\u00e8de ne concernent pas que la physique, mais aussi les math\u00e9matiques. En particulier, il d\u00e9montre que l&rsquo;<strong>aire d&rsquo;un segment de parabole<\/strong> peut \u00eatre calcul\u00e9e gr\u00e2ce \u00e0 une tr\u00e8s belle formule, qui\u00a0 permet donc de trouver l&rsquo;aire d&rsquo;un parabolo\u00efde de mani\u00e8re exacte, sans avoir \u00e0 tout mesurer point par point. Pratique, non ? Et encore aujourd&rsquo;hui on utilise cette \u00e9quation dans plein de situations.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"La_Machine_dArchimede\"><\/span>La Machine d&rsquo;Archim\u00e8de<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3330\" src=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-6.webp\" alt=\"A la decouverte d'Archim\u00e8de reportage pedagogique pour enfant\" width=\"1080\" height=\"617\" srcset=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-6.webp 1080w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-6-300x171.webp 300w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-6-1024x585.webp 1024w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-6-768x439.webp 768w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-6-735x420.webp 735w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-6-696x398.webp 696w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-6-1068x610.webp 1068w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p>En plus de ses d\u00e9couvertes en g\u00e9om\u00e9trie, Archim\u00e8de \u00e9tait aussi un inventeur ing\u00e9nieux. Il a con\u00e7u des machines incroyables, comme la vis d&rsquo;Archim\u00e8de, utilis\u00e9e pour \u00e9lever l&rsquo;eau pour l&rsquo;irrigation ou le drainage. Ses inventions ont montr\u00e9 comment les principes g\u00e9om\u00e9triques pouvaient \u00eatre appliqu\u00e9s pour r\u00e9soudre des probl\u00e8mes pratiques.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Le_levier_et_le_cri_legendaire\"><\/span>Le levier et le cri l\u00e9gendaire<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"whitespace-pre-wrap\">Toujours au rayon des inventions m\u00e9caniques, on doit aussi \u00e0 Archim\u00e8de l&rsquo;explication scientifique du fonctionnement du <strong>levier<\/strong>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3338\" src=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/1d1e71e4a41a4f73b920633943ae6e9a.webp\" alt=\"archim\u00e8de g\u00e9nie\" width=\"1080\" height=\"617\" srcset=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/1d1e71e4a41a4f73b920633943ae6e9a.webp 1080w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/1d1e71e4a41a4f73b920633943ae6e9a-300x171.webp 300w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/1d1e71e4a41a4f73b920633943ae6e9a-1024x585.webp 1024w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/1d1e71e4a41a4f73b920633943ae6e9a-768x439.webp 768w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/1d1e71e4a41a4f73b920633943ae6e9a-735x420.webp 735w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/1d1e71e4a41a4f73b920633943ae6e9a-696x398.webp 696w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/1d1e71e4a41a4f73b920633943ae6e9a-1068x610.webp 1068w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p class=\"whitespace-pre-wrap\">Il \u00e9nonce le <strong>principe du levier<\/strong> :<\/p>\n<p class=\"whitespace-pre-wrap\"><em>\u00c0 distance \u00e9gale des points d\u2019appui, les poids soulev\u00e9s sont comme les forces motrices.<\/em><\/p>\n<p class=\"whitespace-pre-wrap\">Autrement dit, si on applique le double d&rsquo;effort, on peut soulever le double de poids. Ce principe servira de base \u00e0 toute la m\u00e9canique par la suite.<\/p>\n<p class=\"whitespace-pre-wrap\">C&rsquo;est d&rsquo;ailleurs Archim\u00e8de qui a prononc\u00e9 la c\u00e9l\u00e8bre phrase :<\/p>\n<blockquote class=\"border-l-4 border-border-200 pl-4\">\n<p class=\"whitespace-pre-wrap\"><em>\u00ab\u00a0Donnez-moi un point d\u2019appui et un levier, et je soul\u00e8verai le monde !\u00a0\u00bb<\/em><\/p>\n<\/blockquote>\n<p class=\"whitespace-pre-wrap\">Une d\u00e9claration un peu excessive, mais qui montre bien le potentiel que ce savant voyait dans son invention.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"La_fin_tragique_du_savant\"><\/span>La fin tragique du savant<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"whitespace-pre-wrap\">Archim\u00e8de termina malheureusement sa vie de mani\u00e8re dramatique en -212, lors de la <strong>deuxi\u00e8me guerre punique<\/strong> entre Romains et Carthaginois.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3331\" src=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-5.webp\" alt=\"A la decouverte d'Archim\u00e8de reportage pedagogique pour enfant fin tragique\" width=\"1080\" height=\"617\" srcset=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-5.webp 1080w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-5-300x171.webp 300w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-5-1024x585.webp 1024w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-5-768x439.webp 768w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-5-735x420.webp 735w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-5-696x398.webp 696w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-5-1068x610.webp 1068w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p class=\"whitespace-pre-wrap\">\u00c0 cette \u00e9poque, Syracuse \u00e9tait une ville grecque alli\u00e9e \u00e0 Carthage. Archim\u00e8de mit au point des machines de si\u00e8ge \u00e9labor\u00e9es pour d\u00e9fendre la cit\u00e9 contre le g\u00e9n\u00e9ral romain Marcellus : catapultes, grues avec des grappins g\u00e9ants, et m\u00eame des \u00ab\u00a0miroirs ardents\u00a0\u00bb qui mettaient le feu aux navires ennemis !<\/p>\n<p class=\"whitespace-pre-wrap\">Mais apr\u00e8s 2 ans de si\u00e8ge, Syracuse finit par tomber aux mains de Rome. Selon une version romanc\u00e9e qui nous est parvenue, au m\u00e9pris des ordres, un soldat romain aurait alors tu\u00e9 Archim\u00e8de qui \u00e9tait en train de r\u00e9soudre un probl\u00e8me de g\u00e9om\u00e9trie, le prenant pour un simple civil. Mais l\u00e0 encore, les circonstances exactes de sa mort restent incertaines d&rsquo;un point de vue historique.<\/p>\n<p class=\"whitespace-pre-wrap\">Ainsi p\u00e9rit l&rsquo;un des plus grands savants de l&rsquo;histoire, probablement victime de la guerre. Heureusement, ses innombrables inventions et d\u00e9couvertes math\u00e9matiques ne furent pas oubli\u00e9es, et continuent d&rsquo;\u00e9merveiller les scientifiques plus de 2000 ans apr\u00e8s sa disparition.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3339\" src=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-14.webp\" alt=\"h\u00e9ritage archim\u00e8de\" width=\"1080\" height=\"617\" srcset=\"https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-14.webp 1080w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-14-300x171.webp 300w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-14-1024x585.webp 1024w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-14-768x439.webp 768w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-14-735x420.webp 735w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-14-696x398.webp 696w, https:\/\/lesminis.fr\/blog\/wp-content\/uploads\/2024\/03\/archimede-1-14-1068x610.webp 1068w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"LHeritage_dArchimede\"><\/span>L&rsquo;H\u00e9ritage d&rsquo;Archim\u00e8de<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>L&rsquo;h\u00e9ritage d&rsquo;Archim\u00e8de est immense. Ses travaux en g\u00e9om\u00e9trie ont pos\u00e9 les fondements de la science moderne. Il a montr\u00e9 que, gr\u00e2ce \u00e0 la puissance de la pens\u00e9e et de la g\u00e9om\u00e9trie, nous pouvons comprendre les lois qui r\u00e9gissent l&rsquo;univers. Archim\u00e8de a vraiment trouv\u00e9 la magie dans les formes, transformant des concepts abstraits en solutions concr\u00e8tes pour le monde r\u00e9el.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Conclusion\"><\/span>Conclusion<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>J&rsquo;esp\u00e8re que ce voyage dans le monde d&rsquo;Archim\u00e8de t&rsquo;a inspir\u00e9. Comme lui, n&rsquo;aie pas peur d&rsquo;utiliser ta curiosit\u00e9 et ton imagination pour explorer les myst\u00e8res de la science. Qui sait ? Peut-\u00eatre qu&rsquo;un jour, tu crieras toi aussi \u00ab\u00a0Eur\u00eaka !\u00a0\u00bb en d\u00e9couvrant quelque chose de nouveau. Archim\u00e8de nous a montr\u00e9 que, avec la g\u00e9om\u00e9trie, tout est possible !<\/p>\n<blockquote class=\"wp-embedded-content\" data-secret=\"SWFuPk5FqT\"><p><a href=\"https:\/\/lesminis.fr\/blog\/ada-lovelace-premiere-programmeuse\/\">Ada Lovelace : La premi\u00e8re programmeuse de l\u2019histoire<\/a><\/p><\/blockquote>\n<p><iframe loading=\"lazy\" class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; clip: rect(1px, 1px, 1px, 1px);\" title=\"\u00ab\u00a0Ada Lovelace : La premi\u00e8re programmeuse de l\u2019histoire\u00a0\u00bb &#8212; LesMinis Le Blog - Mat\u00e9riels \u00e9ducatifs - Figurines p\u00e9dagogiques\" src=\"https:\/\/lesminis.fr\/blog\/ada-lovelace-premiere-programmeuse\/embed\/#?secret=cA2ciUc5G9#?secret=SWFuPk5FqT\" data-secret=\"SWFuPk5FqT\" width=\"600\" height=\"338\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe><\/p>\n<blockquote class=\"wp-embedded-content\" data-secret=\"BTPlrEW6S5\"><p><a href=\"https:\/\/lesminis.fr\/blog\/le-jeu-un-outil-essentiel-pour-favoriser-les-apprentissages-des-enfants-2\/\">Le jeu, un outil essentiel pour favoriser les apprentissages des enfants<\/a><\/p><\/blockquote>\n<p><iframe loading=\"lazy\" class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; clip: rect(1px, 1px, 1px, 1px);\" title=\"\u00ab\u00a0Le jeu, un outil essentiel pour favoriser les apprentissages des enfants\u00a0\u00bb &#8212; LesMinis Le Blog - Mat\u00e9riels \u00e9ducatifs - Figurines p\u00e9dagogiques\" src=\"https:\/\/lesminis.fr\/blog\/le-jeu-un-outil-essentiel-pour-favoriser-les-apprentissages-des-enfants-2\/embed\/#?secret=2CjjWdRTIE#?secret=BTPlrEW6S5\" data-secret=\"BTPlrEW6S5\" width=\"600\" height=\"338\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Partez \u00e0 la rencontre d&rsquo;Archim\u00e8de, prodige de Syracuse qui r\u00e9volutionna les math\u00e9matiques et la physique il y a plus de 2200 ans. De son l\u00e9gendaire \u00ab\u00a0Eur\u00eaka !\u00a0\u00bb \u00e0 sa fin tragique, d\u00e9couvrez le destin extraordinaire de celui qu&rsquo;on surnomme le Merlin l&rsquo;Enchanteur de l&rsquo;Antiquit\u00e9.<\/p>\n","protected":false},"author":1,"featured_media":3325,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[105],"tags":[1072,1077,1079,364,1073,1083,1078,1085,288,971,1076,1075,1084,1082,1080,1074,1081],"class_list":["post-3078","post","type-post","status-publish","format-standard","has-post-thumbnail","category-minispedago-predagogie-montessori-activites-developpement","tag-archimede","tag-couronne-du-roi-hieron","tag-eureka","tag-geometrie","tag-grece-antique","tag-guerre-punique","tag-legende","tag-machines-de-guerre","tag-mathematiques","tag-physique","tag-poussee-darchimede","tag-principe-darchimede","tag-romains","tag-siege-de-syracuse","tag-spirale-darchimede","tag-syracuse","tag-vis-darchimede"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.6 (Yoast SEO v27.6) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Archim\u00e8de, le g\u00e9nie de la Gr\u00e8ce antique | D\u00e9couverte ludique<\/title>\n<meta name=\"description\" content=\"Plongez dans l&#039;univers fascinant d&#039;Archim\u00e8de, p\u00e8re de la physique et plus grand savant de l&#039;Antiquit\u00e9. 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