{"id":57,"date":"2007-05-23T19:44:00","date_gmt":"2007-05-23T17:44:00","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/des-exemples-de-quadrilateres-particuliers\/"},"modified":"2023-10-14T20:12:42","modified_gmt":"2023-10-14T18:12:42","slug":"des-exemples-de-quadrilateres-particuliers","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/figures-geometriques\/des-exemples-de-quadrilateres-particuliers\/","title":{"rendered":"Des exemples de quadrilat\u00e8res particuliers"},"content":{"rendered":"<p><strong>Parall\u00e9logramme ABCD : codage des c\u00f4t\u00e9s<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-532\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_quadri1.jpg\" alt=\"quadri1.jpg\" width=\"282\" height=\"175\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-8u,-8u,10u,8u);\n\npair A,B,C,D,V;\n\nA:=(0,0);           %changer la taille du parall\u00e9logramme\nB:=(6u,0);\nV:=(1u,4u);         % V = vecteur BC\nC:= B shifted V;\nD:= A shifted V;\n\ndraw A--B--C--D--cycle;\n\nlabel.llft(btex $A$ etex,A);  %changer les noms des points de la zone de texte\nlabel.lrt(btex $B$ etex,B);\nlabel.urt(btex $C$ etex,C);\nlabel.ulft(btex $D$ etex,D);\n\n\ntrace codesegments(A,B,D,C,1);\ntrace codesegments(B,C,A,D,2);\n\n\nfin;<\/pre>\n<hr \/>\n<p><strong>Parall\u00e9logramme ABCD : codage des diagonales<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-533\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_quadri2.jpg\" alt=\"quadri2.jpg\" width=\"285\" height=\"178\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-8u,-8u,10u,8u);\n\npair A,B,C,D,V,O;\n\nA:=(0,0);           %changer la taille du parall\u00e9logramme\nB:=(6u,0);\nV:=(1u,4u);         % V = vecteur BC\nC:= B shifted V;\nD:= A shifted V;\nO:=(A+C)\/2;\n\ndraw A--B--C--D--cycle;\ndraw A--C;\ndraw B--D;\n\nlabel.llft(btex $A$ etex,A);  %changer les noms des points de la zone de texte\nlabel.lrt(btex $B$ etex,B);\nlabel.urt(btex $C$ etex,C);\nlabel.ulft(btex $D$ etex,D);\nlabel.top(btex $O$ etex,O);\n\n\ntrace codesegments(A,O,O,C,1);\ntrace codesegments(B,O,O,D,2);\n\n\nfin;<\/pre>\n<hr \/>\n<p><strong>Losange ABCD : codage des c\u00f4t\u00e9s<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-534\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_quadri3.jpg\" alt=\"quadri3.jpg\" width=\"254\" height=\"182\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-8u,-8u,10u,8u);\n\npair A,B,C,D,V,O;\n\nnumeric AC,BD;\n\nAC:=6;    % diagonale du losange\nBD:=4;\n\nA:=(0,0);\nC:=(AC*u,0);\nO:=(A+C)\/2;\nB:=(xpart(O),ypart(O)-BD*u\/2);\nD:=(xpart(O),ypart(O)+BD*u\/2);\n\n\ndraw A--B--C--D--cycle;\n\n\nlabel.lft(btex $A$ etex,A);  %changer les noms des points de la zone de texte\nlabel.bot(btex $B$ etex,B);\nlabel.rt(btex $C$ etex,C);\nlabel.top(btex $D$ etex,D);\n<\/pre>\n<hr \/>\n<p><strong>Losange ABCD : codage des diagonales<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-535\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_quadri4.jpg\" alt=\"quadri4.jpg\" width=\"254\" height=\"184\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-8u,-8u,10u,8u);\n\npair A,B,C,D,V,O;\n\nnumeric AC,BD;\n\nAC:=6;  % diagonales du losange\nBD:=4;\n\nA:=(0,0);           \nC:=(AC*u,0);\nO:=(A+C)\/2;\nB:=(xpart(O),ypart(O)-BD*u\/2);\nD:=(xpart(O),ypart(O)+BD*u\/2);\n\n\ndraw A--B--C--D--cycle;\ndraw A--C;\ndraw B--D;\n\nlabel.lft(btex $A$ etex,A);  %changer les noms des points de la zone de texte\nlabel.bot(btex $B$ etex,B);\nlabel.rt(btex $C$ etex,C);\nlabel.top(btex $D$ etex,D);\nlabel.llft(btex $O$ etex,O);\n\n\ntrace codesegments(A,O,O,C,1);\ntrace codesegments(B,O,O,D,2);\n\ntrace codeperp(C,O,D,5);\n\n\nfin;<\/pre>\n<hr \/>\n<p><strong>Rectangle ABCD : codage des c\u00f4t\u00e9s<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-536\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_quadri5.jpg\" alt=\"quadri5.jpg\" width=\"268\" height=\"174\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-8u,-8u,10u,8u);\n\npair A,B,C,D;\n\nnumeric AB,AD;\n\nAB:=6;       % changer la taille du rectangle\nAD:=4;\n\nA:=(0,0);\nB:=(AB*u,0);\nC:=(AB*u,AD*u);\nD:=(0,AD*u);\n\ndraw A--B--C--D--cycle;\n\nlabel.llft(btex $A$ etex,A);  %changer les noms des points de la zone de texte\nlabel.lrt(btex $B$ etex,B);\nlabel.urt(btex $C$ etex,C);\nlabel.ulft(btex $D$ etex,D);\n\n\ntrace codesegments(A,B,D,C,1);\ntrace codesegments(B,C,A,D,2);\n\ntrace codeperp(B,A,D,5);\n\nfin;\n\n<\/pre>\n<hr \/>\n<p><strong>Rectangle ABCD : codage des diagonales<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-537\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_quadri6.jpg\" alt=\"quadri6.jpg\" width=\"252\" height=\"182\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-8u,-8u,10u,8u);\n\npair A,B,C,D,O;\n\nnumeric AB,AD;\n\nAB:=6;     % changer la taille du rectangle\nAD:=4;\n\nA:=(0,0);          \nB:=(AB*u,0);\nC:=(AB*u,AD*u);\nD:=(0,AD*u);\nO:=(A+C)\/2;\n\ndraw A--B--C--D--cycle;\ndraw A--C;\ndraw B--D;\n\nlabel.llft(btex $A$ etex,A);  %changer les noms des points de la zone de texte\nlabel.lrt(btex $B$ etex,B);\nlabel.urt(btex $C$ etex,C);\nlabel.ulft(btex $D$ etex,D);\nlabel.top(btex $O$ etex,O);\n\n\ntrace codesegments(A,O,O,C,2);\ntrace codesegments(B,O,O,D,2);\n\n\nfin;<\/pre>\n<hr \/>\n<p><strong>Carr\u00e9 ABCD : codage des c\u00f4t\u00e9s<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-538\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_quadri7.jpg\" alt=\"quadri7.jpg\" width=\"264\" height=\"252\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-8u,-8u,10u,8u);\n\npair A,B,C,D;\n\nnumeric AB;\n\nAB:=6;       % changer la taille du carr\u00e9\n\nA:=(0,0);\nB:=(AB*u,0);\nC:=(AB*u,AB*u);\nD:=(0,AB*u);\n\ndraw A--B--C--D--cycle;\n\nlabel.llft(btex $A$ etex,A);  %changer les noms des points de la zone de texte\nlabel.lrt(btex $B$ etex,B);\nlabel.urt(btex $C$ etex,C);\nlabel.ulft(btex $D$ etex,D);\n\n\ntrace codesegments(A,B,D,C,2);\ntrace codesegments(B,C,A,D,2);\n\ntrace codeperp(B,A,D,5);\n\n\nfin;<\/pre>\n<hr \/>\n<p><strong>Carr\u00e9 ABCD : codage des diagonales<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-539\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_quadri8.jpg\" alt=\"quadri8.jpg\" width=\"270\" height=\"241\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-8u,-8u,10u,8u);\n\npair A,B,C,D,O;\n\nnumeric AB;\n\nAB:=6;     % changer la taille du carr\u00e9\n\nA:=(0,0);          \nB:=(AB*u,0);\nC:=(AB*u,AB*u);\nD:=(0,AB*u);\nO:=(A+C)\/2;\n\ndraw A--B--C--D--cycle;\ndraw A--C;\ndraw B--D;\n\nlabel.llft(btex $A$ etex,A);  %changer les noms des points de la zone de texte\nlabel.lrt(btex $B$ etex,B);\nlabel.urt(btex $C$ etex,C);\nlabel.ulft(btex $D$ etex,D);\nlabel.top(btex $O$ etex,O);\n\n\ntrace codesegments(A,O,O,C,2);\ntrace codesegments(B,O,O,D,2);\n\ntrace codeperp(A,O,B,5);\n\n\nfin;<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Parall\u00e9logramme ABCD : codage des c\u00f4t\u00e9s Voici son code : u:=1cm; figure (-8u,-8u,10u,8u); pair A,B,C,D,V; A:=(0,0); %changer la taille du parall\u00e9logramme B:=(6u,0); V:=(1u,4u); % V = vecteur BC C:= B&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2412,"menu_order":6,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-57","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast 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