{"id":79,"date":"2007-06-20T22:50:35","date_gmt":"2007-06-20T20:50:35","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/section-dune-boule-animation\/"},"modified":"2023-10-14T20:13:03","modified_gmt":"2023-10-14T18:13:03","slug":"section-dune-boule-animation","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/animations-avec-metapost\/section-dune-boule-animation\/","title":{"rendered":"Section d&rsquo;une boule"},"content":{"rendered":"<a href=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2020\/07\/boule.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-toolbar=\"both\" data-toolbar-fixed=\"on\">boule<\/a>\n<p class=\"wp-block-pdfemb-pdf-embedder-viewer\"><\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">input geometriesyr16;\ninput dlf_tex.mp;\n\nu:=1cm;\n\n%----------------------------------- D\u00e9finition du cadre\npath cadre;\nnumeric xmin,xmax,ymin,ymax;\nxmin:=-6u;\nxmax:=14u;\nymin:=-6u;\nymax:=6u;\n\ncadre:=(xmin,ymin)--(xmax,ymin)--(xmax,ymax)--(xmin,ymax)--cycle;\n\n\n%---------------------------------- D\u00e9finitions g\u00e9n\u00e9rales utilis\u00e9es\n%                                   sur toutes les figures\n\n \nnumeric rb;\nrb:=3.5;   %rayon de la boule\n\npair W;\nW:=(8u,0);\n\npair A,B,O,T;\n\nA=(-rb*u,0);\nO=(0,0);\nB=(rb*u,0);\n\nT:=(0,-(rb+1)*u);\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%%\n%%\n%%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\nbeginfig(1)\n\npath cc;\ncc= cercles(O,rb*u);\ndraw cc;\n\ncc := cc yscaled 0.2;\ndraw subpath (0, length cc \/2) of cc dashed evenly;\ndraw subpath (length cc \/2,length cc) of cc;\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\n\n%------------Vue de dessus\npair P;\nP:=O shifted W;\ncc:=cercles(P,rb*u);\ndraw cc;\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\nlabel(TEX(\"\\uline{Vue en perspective}\"),T);\nlabel(TEX(\"\\uline{Vue de dessus}\"),T shifted W);\n\ndraw cadre withcolor black withpen pencircle scaled 2pt;\nclip currentpicture to cadre;\n\nendfig;\n\n\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%%\n%%\n%%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\nfor i:=-9 upto -1:\nbeginfig(i+11)\n\nnumeric cr,rr;\ncr:=0.1*i;    %coefficient servant \u00e0 placer OO\nrr:=rb*sqrt(1-cr*cr);\n\npair OO;\nOO=(0,cr*rb*u);\n\npath cc;\ncc= cercles(O,rb*u);\ndraw cc;\n\ncc := cc yscaled 0.2;\ndraw subpath (0, length cc \/2) of cc dashed evenly;\ndraw subpath (length cc \/2,length cc) of cc;\n\n\ncc := cercles(O,rr*u);\ncc := cc yscaled 0.2;\ncc := cc shifted (0,cr*rb*u);\ndraw subpath (0, length cc \/2) of cc dashed evenly;\ndraw subpath (length cc \/2,length cc) of cc;\n\n\nfillcolor:=1.3orange;\ntransparence cc;\n\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\n\n%------------Vue de dessus\npair P;\nP:=O shifted W;\ncc:=cercles(P,rb*u);\ndraw cc;\ncc:=cercles(P,rr*u);\nfillcolor:=1.3orange;\ntransparence cc;\ndraw cc;\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\nlabel(TEX(\"\\uline{Vue en perspective}\"),T);\nlabel(TEX(\"\\uline{Vue de dessus}\"),T shifted W);\n\ndraw cadre withcolor black withpen pencircle scaled 2pt;\nclip currentpicture to cadre;\n\nendfig;\n\n\nendfor\n\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%%\n%%\n%%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\nbeginfig(11)\n\n\npath cc;\ncc= cercles(O,rb*u);\ndraw cc;\n\ncc := cc yscaled 0.2;\ndraw subpath (0, length cc \/2) of cc dashed evenly;\ndraw subpath (length cc \/2,length cc) of cc;\nfillcolor:=1.3orange;\ntransparence cc;\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\n\n%------------Vue de dessus\npair P;\nP:=O shifted W;\ncc:=cercles(P,rb*u);\nfillcolor:=1.3orange;\ntransparence cc;\ndraw cc;\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\nlabel(TEX(\"\\uline{Vue en perspective}\"),T);\nlabel(TEX(\"\\uline{Vue de dessus}\"),T shifted W);\n\ndraw cadre withcolor black withpen pencircle scaled 2pt;\nclip currentpicture to cadre;\n\nendfig;\n\n\n\n\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%%\n%%\n%%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\nfor i:=1 upto 9:\nbeginfig(i+11)\n\n\nnumeric cr,rr;\ncr:=0.1*i;    %coefficient servant \u00e0 placer OO\nrr:=rb*sqrt(1-cr*cr);\n\npair OO;\nOO=(0,cr*rb*u);\n\npath cc;\ncc= cercles(O,rb*u);\ndraw cc;\n\ncc := cc yscaled 0.2;\ndraw subpath (0, length cc \/2) of cc dashed evenly;\ndraw subpath (length cc \/2,length cc) of cc;\n\n\ncc := cercles(O,rr*u);\ncc := cc yscaled 0.2;\ncc := cc shifted (0,cr*rb*u);\ndraw subpath (0, length cc \/2) of cc dashed evenly;\ndraw subpath (length cc \/2,length cc) of cc;\n\n\nfillcolor:=1.3orange;\ntransparence cc;\n\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\n\n%------------Vue de dessus\npair P;\nP:=O shifted W;\ncc:=cercles(P,rb*u);\ndraw cc;\ncc:=cercles(P,rr*u);\nfillcolor:=1.3orange;\ntransparence cc;\ndraw cc;\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\nlabel(TEX(\"\\uline{Vue en perspective}\"),T);\nlabel(TEX(\"\\uline{Vue de dessus}\"),T shifted W);\n\ndraw cadre withcolor black withpen pencircle scaled 2pt;\nclip currentpicture to cadre;\n\nendfig;\n\nendfor\n\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%%\n%%\n%%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\nbeginfig(21)\n\npath cc;\ncc= cercles(O,rb*u);\ndraw cc;\n\ncc := cc yscaled 0.2;\ndraw subpath (0, length cc \/2) of cc dashed evenly;\ndraw subpath (length cc \/2,length cc) of cc;\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\n\n%------------Vue de dessus\npair P;\nP:=O shifted W;\ncc:=cercles(P,rb*u);\ndraw cc;\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\nlabel(TEX(\"\\uline{Vue en perspective}\"),T);\nlabel(TEX(\"\\uline{Vue de dessus}\"),T shifted W);\n\n\ndraw cadre withcolor black withpen pencircle scaled 2pt;\nclip currentpicture to cadre;\n\nendfig;\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%%\n%%\n%%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\nfor i:=1 upto 9:\nbeginfig(i+21)\n\n\nnumeric cr,rr;\ncr:=1-0.1*i;    %coefficient servant \u00e0 placer OO\nrr:=rb*sqrt(1-cr*cr);\n\npair OO;\nOO=(0,cr*rb*u);\n\npath cc;\ncc= cercles(O,rb*u);\ndraw cc;\n\ncc := cc yscaled 0.2;\ndraw subpath (0, length cc \/2) of cc dashed evenly;\ndraw subpath (length cc \/2,length cc) of cc;\n\n\ncc := cercles(O,rr*u);\ncc := cc yscaled 0.2;\ncc := cc shifted (0,cr*rb*u);\ndraw subpath (0, length cc \/2) of cc dashed evenly;\ndraw subpath (length cc \/2,length cc) of cc;\n\n\nfillcolor:=1.3orange;\ntransparence cc;\n\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\n\n%------------Vue de dessus\npair P;\nP:=O shifted W;\ncc:=cercles(P,rb*u);\ndraw cc;\ncc:=cercles(P,rr*u);\nfillcolor:=1.3orange;\ntransparence cc;\ndraw cc;\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\nlabel(TEX(\"\\uline{Vue en perspective}\"),T);\nlabel(TEX(\"\\uline{Vue de dessus}\"),T shifted W);\n\ndraw cadre withcolor black withpen pencircle scaled 2pt;\nclip currentpicture to cadre;\n\nendfig;\n\nendfor\n\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%%\n%%\n%%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\nbeginfig(31)\n\n\npath cc;\ncc= cercles(O,rb*u);\ndraw cc;\n\ncc := cc yscaled 0.2;\ndraw subpath (0, length cc \/2) of cc dashed evenly;\ndraw subpath (length cc \/2,length cc) of cc;\nfillcolor:=1.3orange;\ntransparence cc;\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\n\n%------------Vue de dessus\npair P;\nP:=O shifted W;\ncc:=cercles(P,rb*u);\nfillcolor:=1.3orange;\ntransparence cc;\ndraw cc;\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\nlabel(TEX(\"\\uline{Vue en perspective}\"),T);\nlabel(TEX(\"\\uline{Vue de dessus}\"),T shifted W);\n\ndraw cadre withcolor black withpen pencircle scaled 2pt;\nclip currentpicture to cadre;\n\nendfig;\n\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%%\n%%\n%%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\nfor i:=-9 upto -1:\nbeginfig(i+41)\n\n\nnumeric cr,rr;\ncr:=-1-0.1*i;    %coefficient servant \u00e0 placer OO\nrr:=rb*sqrt(1-cr*cr);\n\npair OO;\nOO=(0,cr*rb*u);\n\npath cc;\ncc= cercles(O,rb*u);\ndraw cc;\n\ncc := cc yscaled 0.2;\ndraw subpath (0, length cc \/2) of cc dashed evenly;\ndraw subpath (length cc \/2,length cc) of cc;\n\n\ncc := cercles(O,rr*u);\ncc := cc yscaled 0.2;\ncc := cc shifted (0,cr*rb*u);\ndraw subpath (0, length cc \/2) of cc dashed evenly;\ndraw subpath (length cc \/2,length cc) of cc;\n\n\nfillcolor:=1.3orange;\ntransparence cc;\n\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\n\n%------------Vue de dessus\npair P;\nP:=O shifted W;\ncc:=cercles(P,rb*u);\ndraw cc;\ncc:=cercles(P,rr*u);\nfillcolor:=1.3orange;\ntransparence cc;\ndraw cc;\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\nlabel(TEX(\"\\uline{Vue en perspective}\"),T);\nlabel(TEX(\"\\uline{Vue de dessus}\"),T shifted W);\n\n\ndraw cadre withcolor black withpen pencircle scaled 2pt;\nclip currentpicture to cadre;\n\nendfig;\n\nendfor\n\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%%\n%%\n%%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\nbeginfig(41)\n\npath cc;\ncc= cercles(O,rb*u);\ndraw cc;\n\ncc := cc yscaled 0.2;\ndraw subpath (0, length cc \/2) of cc dashed evenly;\ndraw subpath (length cc \/2,length cc) of cc;\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\n\n%------------Vue de dessus\npair P;\nP:=O shifted W;\ncc:=cercles(P,rb*u);\ndraw cc;\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\nlabel(TEX(\"\\uline{Vue en perspective}\"),T);\nlabel(TEX(\"\\uline{Vue de dessus}\"),T shifted W);\n\n\ndraw cadre withcolor black withpen pencircle scaled 2pt;\nclip currentpicture to cadre;\n\nendfig;\n\n\nend<\/pre>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":2408,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-79","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Section d&#039;une boule - Maths &amp; Num\u00e9rique<\/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:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/animations-avec-metapost\/section-dune-boule-animation\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Section d&#039;une boule - Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/animations-avec-metapost\/section-dune-boule-animation\/\" \/>\n<meta property=\"og:site_name\" content=\"Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"article:modified_time\" content=\"2023-10-14T18:13:03+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"6 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/animations-avec-metapost\/section-dune-boule-animation\/\",\"url\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/animations-avec-metapost\/section-dune-boule-animation\/\",\"name\":\"Section d'une boule - Maths &amp; 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