{"id":58,"date":"2007-05-21T01:39:00","date_gmt":"2007-05-20T23:39:00","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/des-exemples-de-solides\/"},"modified":"2023-10-14T20:12:43","modified_gmt":"2023-10-14T18:12:43","slug":"des-exemples-de-solides","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/figures-geometriques\/des-exemples-de-solides\/","title":{"rendered":"Des exemples de solides"},"content":{"rendered":"

Le cube<\/strong><\/p>\n

\"pave1.jpg\"<\/p>\n

Voici son code:<\/p>\n

u:=1cm;\nfigure (-8u,-8u,10u,8u);\npair A,B,C,D,E,F,G,H;\npair V;\n\nnumeric c;\nc:=4;   %c\u00f4t\u00e9 du cube\n\nA=(0,0);\nB=(c*u,0);\nC=(c*u,c*u);\nD=(0,c*u);\n\nV=(2u,u);  % vecteur pour la perspective\n\nE= A shifted V;\nF= B shifted V;\nG= C shifted V;\nH= D shifted V;\n\ndraw A--B--C--D--cycle;\ndraw B--F--G--C;\ndraw G--H--D;\n\ndraw A--E--F dashed evenly;\ndraw H--E dashed evenly;\n\nlabel.llft(btex $A$ etex,A);\nlabel.lrt(btex $B$ etex,B);\nlabel.lrt(btex $C$ etex,C);\nlabel.ulft(btex $D$ etex,D);\nlabel.lrt(btex $E$ etex,E);\nlabel.rt(btex $F$ etex,F);\nlabel.top(btex $G$ etex,G);\nlabel.top(btex $H$ etex,H);\n\n\nfin;<\/pre>\n
\n
Le pav\u00e9 droit<\/strong><\/p>\n
\"pave2.jpg\"<\/p>\n
Voici son code:<\/p>\n
u:=1cm;\nfigure (-8u,-8u,10u,8u);\npair A,B,C,D,E,F,G,H;\npair V;\n\nnumeric AB,AD;\nAB:=6;  %dimensions de la face avant\nAD:=3;\n\nA=(0,0);\nB=(AB*u,0);\nC=(AB*u,AD*u);\nD=(0,AD*u);\n\nV=(2u,u);  % vecteur pour la perspective\n\nE= A shifted V;\nF= B shifted V;\nG= C shifted V;\nH= D shifted V;\n\ndraw A--B--C--D--cycle;\ndraw B--F--G--C;\ndraw G--H--D;\n\ndraw A--E--F dashed evenly;\ndraw H--E dashed evenly;\n\nlabel.llft(btex $A$ etex,A);\nlabel.lrt(btex $B$ etex,B);\nlabel.lrt(btex $C$ etex,C);\nlabel.ulft(btex $D$ etex,D);\nlabel.lrt(btex $E$ etex,E);\nlabel.rt(btex $F$ etex,F);\nlabel.top(btex $G$ etex,G);\nlabel.top(btex $H$ etex,H);\n\ntrace cotation(A,B,-5mm,2mm,btex $L$ etex);\ntrace cotation(A,D,5mm,2mm,btex $h$ etex rotated -90);\ntrace cotation(B,F,-5mm,2mm,btex $l$ etex);\n\n\nfin;<\/pre>\n
\n
Le t\u00e9tra\u00e8dre<\/strong><\/p>\n
\"\"<\/p>\n
u:=1cm;\nfigure (-8u,-8u,10u,8u);\npair S,A,B,C;\nA=(0,0);\nB=(3u,-u);\nC=(4u,u);\nS=(1.5u,5u);\ndraw S--A;\ndraw S--B;\ndraw S--C;\ndraw A--C dashed evenly;\ndraw A--B--C;\nnomme.lft(A);\nnomme.bot(B);\nnomme.rt(C);\nnomme.top(S);\nfin;<\/pre>\n
\n
La pyramide<\/strong><\/p>\n
\"pyra1.jpg\"<\/p>\n
Voici son code:<\/p>\n
u:=1cm;\nfigure (-8u,-8u,10u,8u);\npair S,A,B,C,D,E,H;\n\nA=(0,0);\nB=(3u,-u);\nC=(4u,0);\nD=(2u,u);\nE=(u,u);\n\nH=(1.5u,0);\nS=(1.5u,5u);\n\ndraw S--A;\ndraw S--B;\ndraw S--C;\ndraw S--D dashed evenly;\ndraw S--E dashed evenly;\n\ndraw A--B--C;\ndraw C--D--E--A dashed evenly;\n\ndraw S--H dashed evenly;\n\ndraw H--A dashed withdots;\ndraw H--B dashed withdots;\n\ntrace codeperp(S,H,A,6);\ntrace codeperp(S,H,B,6);\n\nnomme.lft(A);\nnomme.bot(B);\nnomme.rt(C);\nnomme.urt(D);\nnomme.ulft(E);\nnomme.top(S);\nnomme.bot(H);\n\n\nfin;<\/pre>\n
\n
La pyramide r\u00e9guli\u00e8re \u00e0 base carr\u00e9e<\/strong><\/p>\n
\"pyra2.jpg\"<\/p>\n
Voici son code:<\/p>\n
u:=1cm;\nfigure (-8u,-8u,10u,8u);\npair S,A,B,C,D,H;\npair V;\n\nnumeric h;\nh:=6;   %hauteur\n\nA=(0,0);\nB=(6u,0);\n\nV=(1.5u,1.5u);\n\n\nC=B shifted V;\nD=A shifted V;\n\n\nH=0.5[A,C];\nS=H shifted (0,h*u);\n\ndraw S--A;\ndraw S--B;\ndraw S--C;\ndraw S--D dashed evenly;\n\n\ndraw A--B--C;\ndraw C--D--A dashed evenly;\n\ndraw S--H dashed evenly;\n\ndraw C--A dashed withdots;\ndraw D--B dashed withdots;\n\ntrace codeperp(S,H,A,6);\ntrace codeperp(S,H,B,6);\n\nnomme.lft(A);\nnomme.bot(B);\nnomme.rt(C);\nnomme.urt(D);\nnomme.top(S);\nnomme.bot(H);\n\n\nfin;<\/pre>\n
\n
la pyramide r\u00e9guli\u00e8re \u00e0 base carr\u00e9e et sa r\u00e9duction<\/strong><\/p>\n
\"pyra3.jpg\"<\/p>\n
Voici son code:<\/p>\n
u:=1cm;\nfigure (-8u,-8u,10u,12u);\npair S,A,B,C,D,H;\npair V;\n\nnumeric h;\nh:=6;   %hauteur\n\nA=(0,0);\nB=(6u,0);\n\nV=(1.5u,1.5u);\n\n\nC=B shifted V;\nD=A shifted V;\n\n\nH=0.5[A,C];\nS=H shifted (0,h*u);\n\ndraw S--A;\ndraw S--B;\ndraw S--C;\ndraw S--D dashed evenly;\n\ndraw A--B--C;\ndraw C--D--A dashed evenly;\ndraw S--H dashed evenly;\ndraw C--A dashed withdots;\ndraw D--B dashed withdots;\n\ntrace codeperp(S,H,A,6);\ntrace codeperp(S,H,B,6);\n\nlabel.lft(btex $A$ etex,A);\nlabel.bot(btex $B$ etex,B);\nlabel.rt(btex $C$ etex,C);\nlabel.urt(btex $D$ etex,D);\nlabel.top(btex $S$ etex,S);\nlabel.bot(btex $H$ etex,H);\n\n\npair AA,BB,CC,DD,HH;\nnumeric cr;\ncr:=0.4;     %coefficient de r\u00e9duction\n\nAA:=cr[S,A];\nBB:=cr[S,B];\nCC:=cr[S,C];\nDD:=cr[S,D];\nHH:=cr[S,H];\n\ndraw AA--BB--CC;<\/pre>\n
\n
Le c\u00f4ne de r\u00e9volution<\/strong><\/p>\n
\"cone1.jpg\"<\/p>\n
Voici son code:<\/p>\n
u:=1cm;\nfigure (-8u,-8u,10u,8u);\npair A,B,O,S,M;\n\nnumeric rb,h;\nrb:=3;     % rayon de base\nh:=6;      % hauteur\n\nA=(-rb*u,0);\nO=(0,0);\nB=(rb*u,0);\nS=(0,h*u);\n\npath cc;\ncc= cercles(O,rb*u);\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\ndraw A--S--B;\n\ndraw S--O dashed evenly;\n\nnumeric ang;\n\nang:=300;  % angle servant \u00e0 placer M\n\nM:=point (length cc *ang\/360) of cc;\n\ndraw O--M dashed evenly;\ndraw S--M;\n\ntrace codeperp(S,O,M,6);\n\nlabel.top(btex $S$ etex,S);\nlabel.llft(btex $O$ etex,O);\nlabel.lrt(btex $M$ etex,M);\n\nfin;<\/pre>\n
\n
Le c\u00f4ne de r\u00e9volution et sa r\u00e9duction<\/strong><\/p>\n
\"cone2.jpg\"<\/p>\n
Voici son code:<\/p>\n
u:=1cm;\nfigure (-8u,-8u,10u,8u);\npair A,B,O,S,M;\n\nnumeric rb,h;\nrb:=3;     % rayon de base\nh:=6;      % hauteur\n\nA=(-rb*u,0);\nO=(0,0);\nB=(rb*u,0);\nS=(0,h*u);\n\npath cc;\ncc= cercles(O,rb*u);\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\ndraw A--S--B;\n\ndraw S--O dashed evenly;\n\nnumeric ang;\n\nang:=300;  % angle servant \u00e0 placer M\n\nM:=point (length cc *ang\/360) of cc;\n\ndraw O--M dashed evenly;\ndraw S--M;\n\ntrace codeperp(S,O,M,6);\n\nlabel.top(btex $S$ etex,S);\nlabel.llft(btex $O$ etex,O);\nlabel.lrt(btex $M$ etex,M);\n\npair OO,MM;\nnumeric cr;\ncr:=0.4;\n\ncc:= cercles(O,cr*rb*u);\ncc:= cc yscaled 0.2;\ncc:=cc shifted cr[S,O];\ndraw subpath (0, length cc \/2) of cc dashed evenly;\ndraw subpath (length cc \/2,length cc) of cc;\n\nMM:=cr[S,M];\nOO:=cr[S,O];\n\nlabel.lft(btex $O'$ etex,OO);\nlabel.lrt(btex $M'$ etex,MM);\n\ndraw OO--MM dashed evenly;\n\ntrace codeperp(S,OO,MM,6);\n<\/pre>\n
\n
La boule ou la sph\u00e8re<\/strong><\/p>\n
\"boule1.jpg\"<\/p>\n
Voici son code:<\/p>\n
u:=1cm;\nfigure (-8u,-8u,10u,8u);\npair A,B,O,S,M;\n\nnumeric rb;\nrb:=3;   % rayon\n\nA=(-rb*u,0);\nO=(0,0);\nB=(rb*u,0);\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;\n\nnumeric ang;\nang :=300;   % angle fixant M\n\nM=point (length cc *ang\/360) of cc;\ndraw O--M;\n\nnomme.lft(O);\nnomme.lrt(M);\n\nlabel.urt(btex $R$ etex,0.5[O,M]);\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\n\nfin;<\/pre>\n
\n
Section par un plan de la boule ou de la sph\u00e8re<\/strong><\/p>\n
\"boule2.jpg\"<\/p>\n
Voici son code:<\/p>\n
u:=1cm;\nfigure (-8u,-8u,10u,8u);\npair A,B,O,S,M,OO;\n\nnumeric rb;\nrb:=4;   %rayon de la boule\n\nA=(-rb*u,0);\nO=(0,0);\nB=(rb*u,0);\n\nnumeric cr,rr;\ncr:=0.6;    %coefficient servant \u00e0 placer O'\nrr:=rb*sqrt(1-cr*cr);\n\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\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\nnumeric ang;\nang :=300;   % angle fixant M\n\nM=point (length cc *ang\/360) of cc;\n\nnomme.lft(O);\nnomme.urt(M);\n\ndraw O--M;\n\ndraw O--OO--M dashed evenly;\n\ntrace codeperp(O,OO,M,6);\n\nlabel.top(btex $O'$ etex, OO);\nlabel.ulft(btex $R$ etex, 0.5[O,M]);\n\nmarque_p := \"croix\";\nMarquePoint(O);\nmarque_p := \"rien\";\n\n<\/pre>\n
\n
Cylindre couch\u00e9<\/strong><\/p>\n
\"cylin1.jpg\"<\/p>\n
Voici son code:<\/p>\n
u:=1cm;\nfigure (-8u,-8u,10u,8u);\npair A,B,O,AA,BB,OO,M,MM,I;\n\nnumeric rb;\nrb:=3;     % rayon de base\npair V;\nV:=(5u,3u);      % vecteur\n\nO=(0,0);\nOO:= O shifted V;\n\npath cc;\ncc= cercles(O,rb*u);\ndraw cc;\n\npath d;\nd:=demidroite(O,OO);\nI := d intersectionpoint cc;\nA:= rotation(I,O,270);\nAA:= A shifted V;\n\nB= symetrie(A,O);\nBB:= B shifted V;\n\ntrace arccercle(BB,AA,OO) dashed evenly;\ntrace arccercle(AA,BB,OO);\n\ndraw A--AA;\ndraw B--BB;\ndraw O--OO dashed evenly;\n\nnumeric ang;\n\nang:=340;  % angle servant \u00e0 placer M\n\nM:=point (length cc *ang\/360) of cc;\n\ndraw O--M;\ntrace codeperp(M,O,OO,5);\n\nMM:= M shifted V;\ndraw OO--MM;\ndraw M--MM;\ntrace codeperp(O,OO,MM,5);\n\nlabel.b<\/pre>\n
\n
Cylindre debout<\/strong><\/p>\n
\"cylin2.jpg\"<\/p>\n
Voici son code :<\/p>\n
u:=1cm;\nfigure (-8u,-8u,10u,8u);\npair A,B,O,AA,BB,OO,M,MM;\n\nnumeric rb,h;\nrb:=3;     % rayon de base\nh:=6;      % hauteur\n\nO=(0,0);\nOO:= O shifted (0,h*u);\nA=(-rb*u,0);\nAA:= A shifted (0,h*u);\nB=(rb*u,0);\nBB:= B shifted (0,h*u);\n\npath cc;\ncc= cercles(O,rb*u);\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\ndraw cc shifted (0,h*u);\n\ndraw A--AA;\ndraw B--BB;\ndraw O--OO dashed evenly;\n\nnumeric ang;\n\nang:=300;  % angle servant \u00e0 placer M\n\nM:=point (length cc *ang\/360) of cc;\n\ndraw O--M dashed evenly;\ntrace codeperp(M,O,OO,5);\n\nMM:= M shifted(0,h*u);\ndraw OO--MM;\ndraw M--MM;\ntrace codeperp(O,OO,MM,5);\n\n\nlabel.bot(btex $O$ etex,O);\nlabel.top(btex $O'$ etex,OO);\nlabel.lrt(btex $M$ etex,M);\nlabel.top(btex $M'$ etex,MM);\n\nlabel.urt(btex $R$ etex,0.5[O,M]);\nlabel.rt(btex $h$ etex,0.5[B,BB]);\n\n\nfin;<\/pre>\n","protected":false},"excerpt":{"rendered":"
Le cube Voici son code: u:=1cm; figure (-8u,-8u,10u,8u); pair A,B,C,D,E,F,G,H; pair V; numeric c; c:=4; %c\u00f4t\u00e9 du cube A=(0,0); B=(c*u,0); C=(c*u,c*u); D=(0,c*u); V=(2u,u); % vecteur pour la perspective E= A…<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2412,"menu_order":8,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-58","page","type-page","status-publish","hentry"],"yoast_head":"\nDes exemples de solides - 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\/edition-mathematique\/metapost\/figures-geometriques\/des-exemples-de-solides\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Des exemples de solides - Maths & Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Le cube Voici son code: u:=1cm; figure (-8u,-8u,10u,8u); pair A,B,C,D,E,F,G,H; pair V; numeric c; c:=4; %c\u00f4t\u00e9 du cube A=(0,0); B=(c*u,0); C=(c*u,c*u); D=(0,c*u); V=(2u,u); % vecteur pour la perspective E= A…\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/figures-geometriques\/des-exemples-de-solides\/\" \/>\n<meta property=\"og:site_name\" content=\"Maths & Num\u00e9rique\" \/>\n<meta property=\"article:modified_time\" content=\"2023-10-14T18:12:43+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_pave1.jpg\" \/>\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=\"8 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\/figures-geometriques\/des-exemples-de-solides\/\",\"url\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/figures-geometriques\/des-exemples-de-solides\/\",\"name\":\"Des exemples de solides - 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