{"id":174,"date":"2008-06-19T00:57:19","date_gmt":"2008-06-18T22:57:19","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/sections-de-solides-avec-xcas\/"},"modified":"2023-10-14T20:14:11","modified_gmt":"2023-10-14T18:14:11","slug":"sections-de-solides-avec-xcas","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/geometrie-avec-xcas\/sections-de-solides-avec-xcas\/","title":{"rendered":"Sections de solides avec Xcas"},"content":{"rendered":"

\nVoici quelques exemples de sections de solides faites avec Xcas.<\/p>\n

Dans chacun des cas, ouvrir une session geo3d et ins\u00e9rer les comandes correspondes.<\/p>\n

Le cube<\/h2>\n
\n\naffichage(width_point_4) ;\nc:=3 ;\n(A:=point(0,0,0)),(B:=point(c,0,0)),(C:=point(c,c,0)),(D:=point(0,c,0)),(E:=point(0,0,c)),(F:=point(c,0,c)),(G:=point(c,c,c)),(H:=point(0,c,c)) ;\naffichage(polyedre(A,B,C,D,H,G,F,E),rouge+rempli) ;\nplan(x+y+z=7) ;\naffichage(inter(plan(x+y+z=7),polyedre(A,B,C,D,H,G,F,E)),bleu+line_width_4) ;\n<\/plain>\n

\"cube.jpg\"<\/p>\n

Le parall\u00e9l\u00e9pip\u00e8de<\/h2>\n
\n\naffichage(width_point_4) ;\n(L:=3),(l:=2),(h:=3) ;\n(A:=point(0,0,0)),(B:=point(L,0,0)),(C:=point(L,l,0)),(D:=point(0,l,0)),(E:=point(0,0,h)),(F:=point(L,0,h)),(G:=point(L,l,h)),(H:=point(0,l,h)) ;\naffichage(polyedre(A,B,C,D,H,G,F,E),rouge+rempli) ;\naffichage(plan(z=1),noir+line_width_2) ;\naffichage(inter(plan(z=1),polyedre(A,B,C,D,H,G,F,E)),bleu+line_width_4) ;\n<\/plain>\n

\"parallelepipede.jpg\"<\/p>\n

Le prisme droit<\/h2>\n
\n\naffichage(width_point_4) ;\nh:=5 ;\n(A:=point(0,0,0)),(B:=point(4,0,0)),(C:=point(4,1,0)),(D:=point(2,1,0)),(E:=point(2,5,0)),(F:=point(0,5,0)) ;\naffichage(prisme([A,B,C,D,E,F],[0,0,h]),rouge+rempli) ;\n(A_1:=translation([0,0,h],A)),(B_1:=translation([0,0,h],B)),(C_1:=translation([0,0,h],C)),(D_1:=translation([0,0,h],D)),(E_1:=translation([0,0,h],E)),(F_1:=translation([0,0,h],F)) ;\naffichage(plan(z=4),noir+line_width_2) ;\naffichage(inter(plan(z=4),prisme([A,B,C,D,E,F],[0,0,h])),bleu+line_width_4) ;\n<\/plain>\n

\"prisme.jpg\"<\/p>\n

La sph\u00e8re<\/h2>\n
\n\naffichage(width_point_4) ;\nr:=4 ;\nO:=point(0,0,0) ;\naffichage(sphere(O,r),rouge+rempli) ;\naffichage(plan(z=2),noir+line_width_2) ;\naffichage(inter(plan(z=2),sphere(O,r)),bleu+line_width_4) ;\n<\/plain>\n

\"sphere.jpg\"<\/p>\n

Le cylindre<\/h2>\n
\n\naffichage(width_point_4) ;\n(r:=4),(h:=5) ;\nO:=point(0,0,0) ;\naffichage(cylindre(O,[0,0,1],r,h),rouge+rempli) ;\naffichage(plan(z=2),noir+line_width_2) ;\naffichage(inter(plan(z=2),[cylindre(O,[0,0,1],4,5)]),bleu+line_width_4) ;\n<\/plain>\n

\"cylindre.jpg\"<\/p>\n

Le c\u00f4ne<\/h2>\n
\n\naffichage(width_point_4) ;\n(a:=pi\/4),(h:=5) ;\nS:(point(0,0,h)) ;\naffichage(demi_cone(S,[0,0,-1],a,h),rouge+rempli) ;\naffichage(plan(z=2),noir+line_width_2) ;\naffichage(inter(plan(z=2),[demi_cone(S,[0,0,-1],a,h)]),bleu+line_width_4) ;\n<\/plain>\n

\"cone-2.jpg\"<\/p>\n

La pyramide<\/h2>\n
\n\naffichage(width_point_4) ;\n(c:=4),(h:=5) ;\n(A:=point(0,0,0)),(B:=point(c,0,0)),(C:=point(c,c,0)),(D:=point(0,c,0)),(S:=point(c\/2,c\/2,h)) ;\naffichage(polyedre(A,B,C,D,S),rouge+rempli) ;\naffichage(plan(z=3),noir+line_width_2) ;\naffichage(inter(plan(z=3),polyedre(A,B,C,D,S)),bleu+line_width_4) ;\n<\/plain>\n

\"pyramide-2.jpg\"<\/p>\n

<\/math><\/p>\n","protected":false},"excerpt":{"rendered":"

Voici quelques exemples de sections de solides faites avec Xcas. Dans chacun des cas, ouvrir une session geo3d et ins\u00e9rer les comandes correspondes. Le cube affichage(width_point_4) ; c:=3 ; (A:=point(0,0,0)),(B:=point(c,0,0)),(C:=point(c,c,0)),(D:=point(0,c,0)),(E:=point(0,0,c)),(F:=point(c,0,c)),(G:=point(c,c,c)),(H:=point(0,c,c))…<\/p>\n","protected":false},"author":1,"featured_media":680,"parent":2230,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-174","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"\nSections de solides avec Xcas - Maths & 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\/logiciels-mathematiques\/xcas\/geometrie-avec-xcas\/sections-de-solides-avec-xcas\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Sections de solides avec Xcas - Maths & Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Voici quelques exemples de sections de solides faites avec Xcas. Dans chacun des cas, ouvrir une session geo3d et ins\u00e9rer les comandes correspondes. Le cube affichage(width_point_4) ; c:=3 ; (A:=point(0,0,0)),(B:=point(c,0,0)),(C:=point(c,c,0)),(D:=point(0,c,0)),(E:=point(0,0,c)),(F:=point(c,0,c)),(G:=point(c,c,c)),(H:=point(0,c,c))…\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/geometrie-avec-xcas\/sections-de-solides-avec-xcas\/\" \/>\n<meta property=\"og:site_name\" content=\"Maths & Num\u00e9rique\" \/>\n<meta property=\"article:modified_time\" content=\"2023-10-14T18:14:11+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/06\/jpg_cube.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"482\" \/>\n\t<meta property=\"og:image:height\" content=\"574\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\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=\"2 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\/logiciels-mathematiques\/xcas\/geometrie-avec-xcas\/sections-de-solides-avec-xcas\/\",\"url\":\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/geometrie-avec-xcas\/sections-de-solides-avec-xcas\/\",\"name\":\"Sections de solides avec Xcas - 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