{"id":1799,"date":"2019-11-30T16:50:31","date_gmt":"2019-11-30T15:50:31","guid":{"rendered":"https:\/\/www.mathweb.fr\/euclide\/?p=1799"},"modified":"2019-11-30T16:50:32","modified_gmt":"2019-11-30T15:50:32","slug":"pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon","status":"publish","type":"post","link":"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/","title":{"rendered":"Pourquoi la hauteur des casseroles est \u00e9gale \u00e0 leur rayon ?"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Si vous avez la curiosit\u00e9 d&rsquo;aller dans votre cuisine et de prendre une casserole pour en mesurer la hauteur et le rayon de la base, quelle que soit la casserole que vous prendrez, vous verrez que vous obtiendrez la m\u00eame mesure&#8230; Co\u00efncidence ?<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\">Une histoire d&rsquo;\u00e9conomie<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Tout part du fait que l&rsquo;on souhaite minimiser la surface de m\u00e9tal utilis\u00e9 pour fabriquer une casserole, en imposant le volume.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Notons alors :<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>\\(v\\) le volume que l&rsquo;on souhaite pour une casserole,  <\/li><li>\\(h\\) sa hauteur,<\/li><li>\\(r\\) son rayon.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Grosso-merdo, la casserole a une forme cylindrique. Ainsi,$$v=\\pi r^2 h.$$ On en d\u00e9duit donc que:$$h=\\frac{v}{\\pi r^2}.$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Notons maintenant \\(S(r)\\) la surface n\u00e9cessaire \u00e0 la fabrication de cette casserole. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"528\" src=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2019\/11\/casserole-1-1024x528.png\" alt=\"\" class=\"wp-image-1805\" srcset=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2019\/11\/casserole-1-1024x528.png 1024w, https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2019\/11\/casserole-1-300x155.png 300w, https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2019\/11\/casserole-1-600x309.png 600w, https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2019\/11\/casserole-1-768x396.png 768w, https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2019\/11\/casserole-1-1536x792.png 1536w, https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2019\/11\/casserole-1-2048x1056.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>Illustration d&rsquo;une casserole<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Pour la calculer, on calcule l&rsquo;aire du rectangle lat\u00e9ral (de dimensions : p\u00e9rim\u00e8tre de la base par hauteur, soit \\(2\\pi r\\) et \\(h\\), et on lui ajoute l&rsquo;aire du disque de base. On obtient alors:$$\\begin{align}S(r) &amp; = 2\\pi rh + \\pi r^2\\\\ &amp; = 2\\pi r\\times\\frac{v}{\\pi r^2} + \\pi r^2\\\\ &amp; = \\frac{2v}{r} + \\pi r^2.\\end{align}$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Afin de minimiser la surface, il faut \u00e9tudier cette fonction et voir pour quelle valeur de \\(r\\) elle atteint son minimum. La d\u00e9riv\u00e9e de \\(S(r)\\) est:$$\\begin{align}S'(r) &amp; = -\\frac{2v}{r^2} + 2\\pi r\\\\ &amp; = 2\\frac{\\pi r^3-v}{r^2}.\\end{align}$$Le d\u00e9nominateur \u00e9tant strictement positif, la d\u00e9riv\u00e9e est du signe de \\(\\pi r^3-v\\). R\u00e9solvons donc l&rsquo;in\u00e9quation:$$\\begin{align}\\pi r^3-v \\geqslant 0 &amp; \\iff \\pi r^3 \\geqslant v\\\\ &amp; \\iff r^3 \\geqslant \\frac{v}{\\pi} \\\\ &amp; \\iff r^3 \\geqslant \\frac{\\pi r^2 h}{\\pi}\\\\&amp; \\iff r^3 \\geqslant r^2 h\\\\ &amp; \\iff r \\geqslant h\\end{align}$$en divisant les membres de la derni\u00e8re \u00e9quation par \\(r^2\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ainsi, le minimum de la surface est atteint&#8230; pour \\(r = h\\) ! Et c&rsquo;est pour cette raison que nos casseroles ont une hauteur \u00e9gale \u00e0 leur rayon.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Si vous avez la curiosit\u00e9 d&rsquo;aller dans votre cuisine et de prendre une casserole pour en mesurer la hauteur et le rayon de la base, quelle que soit la casserole que vous prendrez, vous verrez que vous obtiendrez la m\u00eame mesure&#8230; Co\u00efncidence ?<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[21,6],"tags":[148,145,149],"class_list":["post-1799","post","type-post","status-publish","format-standard","hentry","category-enseignement","category-mathematiques","tag-derivation","tag-derive","tag-specialite-math-1ere"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Pourquoi la hauteur des casseroles est \u00e9gale \u00e0 leur rayon ? - Mathweb.fr<\/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:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pourquoi la hauteur des casseroles est \u00e9gale \u00e0 leur rayon ? - Mathweb.fr\" \/>\n<meta property=\"og:description\" content=\"Si vous avez la curiosit\u00e9 d&rsquo;aller dans votre cuisine et de prendre une casserole pour en mesurer la hauteur et le rayon de la base, quelle que soit la casserole que vous prendrez, vous verrez que vous obtiendrez la m\u00eame mesure&#8230; Co\u00efncidence ?\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathweb.fr\" \/>\n<meta property=\"article:published_time\" content=\"2019-11-30T15:50:31+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2019-11-30T15:50:32+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2019\/11\/casserole-1-1024x528.png\" \/>\n<meta name=\"author\" content=\"St\u00e9phane Pasquet\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"St\u00e9phane Pasquet\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/2019\\\/11\\\/30\\\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/2019\\\/11\\\/30\\\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\\\/\"},\"author\":{\"name\":\"St\u00e9phane Pasquet\",\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/#\\\/schema\\\/person\\\/e4d3bb07968238378f0d5052a70dcd69\"},\"headline\":\"Pourquoi la hauteur des casseroles est \u00e9gale \u00e0 leur rayon ?\",\"datePublished\":\"2019-11-30T15:50:31+00:00\",\"dateModified\":\"2019-11-30T15:50:32+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/2019\\\/11\\\/30\\\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\\\/\"},\"wordCount\":354,\"commentCount\":1,\"publisher\":{\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/#\\\/schema\\\/person\\\/e4d3bb07968238378f0d5052a70dcd69\"},\"image\":{\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/2019\\\/11\\\/30\\\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/wp-content\\\/uploads\\\/2019\\\/11\\\/casserole-1-1024x528.png\",\"keywords\":[\"d\u00e9rivation\",\"d\u00e9riv\u00e9\",\"sp\u00e9cialit\u00e9 math 1\u00e8re\"],\"articleSection\":[\"Enseignement\",\"Math\u00e9matiques\"],\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/2019\\\/11\\\/30\\\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/2019\\\/11\\\/30\\\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\\\/\",\"url\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/2019\\\/11\\\/30\\\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\\\/\",\"name\":\"Pourquoi la hauteur des casseroles est \u00e9gale \u00e0 leur rayon ? - Mathweb.fr\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/2019\\\/11\\\/30\\\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/2019\\\/11\\\/30\\\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/wp-content\\\/uploads\\\/2019\\\/11\\\/casserole-1-1024x528.png\",\"datePublished\":\"2019-11-30T15:50:31+00:00\",\"dateModified\":\"2019-11-30T15:50:32+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/2019\\\/11\\\/30\\\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\\\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/2019\\\/11\\\/30\\\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/2019\\\/11\\\/30\\\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\\\/#primaryimage\",\"url\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/wp-content\\\/uploads\\\/2019\\\/11\\\/casserole-1-1024x528.png\",\"contentUrl\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/wp-content\\\/uploads\\\/2019\\\/11\\\/casserole-1-1024x528.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/2019\\\/11\\\/30\\\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Pourquoi la hauteur des casseroles est \u00e9gale \u00e0 leur rayon ?\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/#website\",\"url\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/\",\"name\":\"Mathweb.fr\",\"description\":\"Math\u00e9matiques, LaTeX et Python\",\"publisher\":{\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/#\\\/schema\\\/person\\\/e4d3bb07968238378f0d5052a70dcd69\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/#\\\/schema\\\/person\\\/e4d3bb07968238378f0d5052a70dcd69\",\"name\":\"St\u00e9phane Pasquet\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/wp-content\\\/uploads\\\/2025\\\/06\\\/cropped-logo-mathweb.webp\",\"url\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/wp-content\\\/uploads\\\/2025\\\/06\\\/cropped-logo-mathweb.webp\",\"contentUrl\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/wp-content\\\/uploads\\\/2025\\\/06\\\/cropped-logo-mathweb.webp\",\"width\":74,\"height\":77,\"caption\":\"St\u00e9phane Pasquet\"},\"logo\":{\"@id\":\"https:\\\/\\\/www.mathweb.fr\\\/euclide\\\/wp-content\\\/uploads\\\/2025\\\/06\\\/cropped-logo-mathweb.webp\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Pourquoi la hauteur des casseroles est \u00e9gale \u00e0 leur rayon ? - Mathweb.fr","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/","og_locale":"fr_FR","og_type":"article","og_title":"Pourquoi la hauteur des casseroles est \u00e9gale \u00e0 leur rayon ? - Mathweb.fr","og_description":"Si vous avez la curiosit\u00e9 d&rsquo;aller dans votre cuisine et de prendre une casserole pour en mesurer la hauteur et le rayon de la base, quelle que soit la casserole que vous prendrez, vous verrez que vous obtiendrez la m\u00eame mesure&#8230; Co\u00efncidence ?","og_url":"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/","og_site_name":"Mathweb.fr","article_published_time":"2019-11-30T15:50:31+00:00","article_modified_time":"2019-11-30T15:50:32+00:00","og_image":[{"url":"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2019\/11\/casserole-1-1024x528.png","type":"","width":"","height":""}],"author":"St\u00e9phane Pasquet","twitter_card":"summary_large_image","twitter_misc":{"\u00c9crit par":"St\u00e9phane Pasquet","Dur\u00e9e de lecture estim\u00e9e":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/#article","isPartOf":{"@id":"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/"},"author":{"name":"St\u00e9phane Pasquet","@id":"https:\/\/www.mathweb.fr\/euclide\/#\/schema\/person\/e4d3bb07968238378f0d5052a70dcd69"},"headline":"Pourquoi la hauteur des casseroles est \u00e9gale \u00e0 leur rayon ?","datePublished":"2019-11-30T15:50:31+00:00","dateModified":"2019-11-30T15:50:32+00:00","mainEntityOfPage":{"@id":"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/"},"wordCount":354,"commentCount":1,"publisher":{"@id":"https:\/\/www.mathweb.fr\/euclide\/#\/schema\/person\/e4d3bb07968238378f0d5052a70dcd69"},"image":{"@id":"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/#primaryimage"},"thumbnailUrl":"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2019\/11\/casserole-1-1024x528.png","keywords":["d\u00e9rivation","d\u00e9riv\u00e9","sp\u00e9cialit\u00e9 math 1\u00e8re"],"articleSection":["Enseignement","Math\u00e9matiques"],"inLanguage":"fr-FR","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/","url":"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/","name":"Pourquoi la hauteur des casseroles est \u00e9gale \u00e0 leur rayon ? - Mathweb.fr","isPartOf":{"@id":"https:\/\/www.mathweb.fr\/euclide\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/#primaryimage"},"image":{"@id":"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/#primaryimage"},"thumbnailUrl":"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2019\/11\/casserole-1-1024x528.png","datePublished":"2019-11-30T15:50:31+00:00","dateModified":"2019-11-30T15:50:32+00:00","breadcrumb":{"@id":"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/#breadcrumb"},"inLanguage":"fr-FR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/"]}]},{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/#primaryimage","url":"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2019\/11\/casserole-1-1024x528.png","contentUrl":"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2019\/11\/casserole-1-1024x528.png"},{"@type":"BreadcrumbList","@id":"https:\/\/www.mathweb.fr\/euclide\/2019\/11\/30\/pourquoi-la-hauteur-des-casseroles-est-egale-a-leur-rayon\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Accueil","item":"https:\/\/www.mathweb.fr\/euclide\/"},{"@type":"ListItem","position":2,"name":"Pourquoi la hauteur des casseroles est \u00e9gale \u00e0 leur rayon ?"}]},{"@type":"WebSite","@id":"https:\/\/www.mathweb.fr\/euclide\/#website","url":"https:\/\/www.mathweb.fr\/euclide\/","name":"Mathweb.fr","description":"Math\u00e9matiques, LaTeX et Python","publisher":{"@id":"https:\/\/www.mathweb.fr\/euclide\/#\/schema\/person\/e4d3bb07968238378f0d5052a70dcd69"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.mathweb.fr\/euclide\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"fr-FR"},{"@type":["Person","Organization"],"@id":"https:\/\/www.mathweb.fr\/euclide\/#\/schema\/person\/e4d3bb07968238378f0d5052a70dcd69","name":"St\u00e9phane Pasquet","image":{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2025\/06\/cropped-logo-mathweb.webp","url":"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2025\/06\/cropped-logo-mathweb.webp","contentUrl":"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2025\/06\/cropped-logo-mathweb.webp","width":74,"height":77,"caption":"St\u00e9phane Pasquet"},"logo":{"@id":"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2025\/06\/cropped-logo-mathweb.webp"}}]}},"_links":{"self":[{"href":"https:\/\/www.mathweb.fr\/euclide\/wp-json\/wp\/v2\/posts\/1799","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mathweb.fr\/euclide\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mathweb.fr\/euclide\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mathweb.fr\/euclide\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mathweb.fr\/euclide\/wp-json\/wp\/v2\/comments?post=1799"}],"version-history":[{"count":0,"href":"https:\/\/www.mathweb.fr\/euclide\/wp-json\/wp\/v2\/posts\/1799\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.mathweb.fr\/euclide\/wp-json\/wp\/v2\/media?parent=1799"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mathweb.fr\/euclide\/wp-json\/wp\/v2\/categories?post=1799"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mathweb.fr\/euclide\/wp-json\/wp\/v2\/tags?post=1799"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}