{"id":133,"date":"2007-11-02T10:24:11","date_gmt":"2007-11-02T09:24:11","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/animation-5-sur-pythagore-transformations\/"},"modified":"2023-10-14T20:12:58","modified_gmt":"2023-10-14T18:12:58","slug":"animation-5-sur-pythagore-transformations","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/animations-avec-metapost\/animations-sur-pythagore\/animation-5-sur-pythagore-transformations\/","title":{"rendered":"Animation (5) sur Pythagore"},"content":{"rendered":"<a href=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2020\/07\/pythagore5.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-toolbar=\"both\" data-toolbar-fixed=\"on\">pythagore5<\/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.mp ;\n\n\nu:=1cm;\n\n%----------------------------------- D\u00e9finition du cadre\npath cadre;\nnumeric xmin,xmax,ymin,ymax;\nxmin:=-4u;\nxmax:=8u;\nymin:=-6u;\nymax:=7u;\n\ncadre:=(xmin,ymin)--(xmax,ymin)--(xmax,ymax)--(xmin,ymax)--cycle;\n\n%---------------------------------- D\u00e9finitions g\u00e9n\u00e9rales utilis\u00e9es\n%                                   sur toutes les figures\n\npair A,B,C,D,E,F,G,Q,R,I,J,K,L;\nnumeric c;\nc:=5;\nang :=110;\n\nC:=(0,0);     % grand carr\u00e9\nB:=(c*u,0);\nQ:=(c*u,-c*u);\nR:=(0,-c*u);\n\ndraw polygone(B,Q,R,C);\n\nI:=0.5[C,B];  % milieux du grand carr\u00e9\nJ:=0.5[B,Q];\nK:=0.5[Q,R];\nL:=0.5[R,C];\n\n\nA:= B rotatedaround(I,ang); % point A\n\ndraw polygone(A,B,C);\ntrace codeperp(B,A,C,5);\n\nD:= A rotatedaround(C,90); % carr\u00e9 gauche\nE:= C rotatedaround(D,90);\n\ndraw polygone(A,E,D,C);\n\n\nF:= B rotatedaround(A,90); % carr\u00e9 droit\nG:= A rotatedaround(F,90);\n\ndraw polygone(A,B,G,F);\n\npair M,N,O,P;\npair T,TT;\n\nT:=I shifted (C-A);  % point M\nTT:=J shifted (D-C);\nM= whatever[I,T];\nM= whatever[J,TT];\n\nT:=J shifted (D-C);  % point N\nTT:=K shifted (C-A);\nN= whatever[J,T];\nN= whatever[K,TT];\n\nT:=L shifted (D-C);  % point O\nTT:=K shifted (C-A);\nO= whatever[L,T];\nO= whatever[K,TT];\n\nT:=L shifted (D-C);  % point P\nTT:=I shifted (C-A);\nP= whatever[L,T];\nP= whatever[I,TT];\n\ndraw I--P;\ndraw J--M;\ndraw K--N;\ndraw L--O;\n\n\npicture fig;\npath poly;\n\nfig:=currentpicture;\ncurrentpicture:=nullpicture;\n\nbeginfig(1)\n    fill polygone(I,B,J,M) withcolor orange;\n    fill polygone(J,Q,K,N) withcolor orange;\n    fill polygone(L,O,K,R) withcolor orange;\n    fill polygone(M,N,O,P) withcolor orange; \n    fill polygone(I,P,L,C) withcolor orange;\n    %------------------------------- Trac\u00e9 de la figure\n    draw fig ;\n    %------------------------------- Trac\u00e9 du cadre\n    draw cadre withcolor black withpen pencircle scaled 2pt;    \n    clip currentpicture to cadre;\n  endfig;\n  \n  \n\n%---------------------------------- D\u00e9finitions des figures\nfor i:=0 upto 10:\n  beginfig(i+2)\n    fill polygone(I,B,J,M) withcolor orange;\n    fill polygone(J,Q,K,N) withcolor orange;\n    fill polygone(L,O,K,R) withcolor orange;\n    fill polygone(M,N,O,P) withcolor orange;\n    \n    poly := polygone(I,P,L,C) shifted ((0.1*i)*(B-P));\n    fillcolor:=blue;\n    transparence poly;   \n    %------------------------------- Trac\u00e9 de la figure\n    draw fig ;\n    %------------------------------- Trac\u00e9 du cadre\n    draw cadre withcolor black withpen pencircle scaled 2pt;    \n    clip currentpicture to cadre;\n  endfig;\nendfor;\n\nfor i:=0 upto 10:\n  beginfig(i+13)\n    fill polygone(J,Q,K,N) withcolor orange;    \n    fill polygone(L,O,K,R) withcolor orange;\n    fill polygone(M,N,O,P) withcolor orange;   \n\n    fill polygone(I,P,L,C) shifted (B-P) withcolor orange;\n\n    poly := polygone(I,B,J,M) shifted ((0.1*i)*(A-M));\n    fillcolor:=blue;\n    transparence poly;\n    %------------------------------- Trac\u00e9 de la figure\n    draw fig ;\n    %------------------------------- Trac\u00e9 du cadre\n    draw cadre withcolor black withpen pencircle scaled 2pt;    \n    clip currentpicture to cadre;\n  endfig;\nendfor;\n\nfor i:=0 upto 10:\n  beginfig(i+24)\n    fill polygone(L,O,K,R) withcolor orange;\n    fill polygone(M,N,O,P) withcolor orange;   \n\n    fill polygone(I,P,L,C) shifted (B-P) withcolor orange;\n    fill polygone(I,B,J,M) shifted (A-M) withcolor orange;\n    \n    poly := polygone(J,Q,K,N) shifted ((0.1*i)*(F-N));\n    fillcolor:=blue;\n    transparence poly;\n    %------------------------------- Trac\u00e9 de la figure\n    draw fig ;\n    %------------------------------- Trac\u00e9 du cadre\n    draw cadre withcolor black withpen pencircle scaled 2pt;    \n    clip currentpicture to cadre;\n  endfig;\nendfor;\n\nfor i:=0 upto 10:\n  beginfig(i+35)\n    fill polygone(M,N,O,P) withcolor orange;   \n\n    fill polygone(I,P,L,C) shifted (B-P) withcolor orange;\n    fill polygone(I,B,J,M) shifted (A-M) withcolor orange;\n    fill polygone(J,Q,K,N) shifted (F-N) withcolor orange;\n    \n    poly := polygone(L,O,K,R) shifted ((0.1*i)*(G-O));\n    fillcolor:=blue;\n    transparence poly;\n    %------------------------------- Trac\u00e9 de la figure\n    draw fig ;\n    %------------------------------- Trac\u00e9 du cadre\n    draw cadre withcolor black withpen pencircle scaled 2pt;    \n    clip currentpicture to cadre;\n  endfig;\nendfor;\n\n\nfor i:=0 upto 10:\n  beginfig(i+46)\n    fill polygone(I,P,L,C) shifted (B-P) withcolor orange;\n    fill polygone(I,B,J,M) shifted (A-M) withcolor orange;\n    fill polygone(J,Q,K,N) shifted (F-N) withcolor orange;\n    fill polygone(L,O,K,R) shifted (G-O) withcolor orange;\n\n    poly := polygone(M,N,O,P) shifted ((0.1*i)*(E-M));\n    fillcolor:=blue;\n    transparence poly;\n    %------------------------------- Trac\u00e9 de la figure\n    draw fig ;\n    %------------------------------- Trac\u00e9 du cadre\n    draw cadre withcolor black withpen pencircle scaled 2pt;    \n    clip currentpicture to cadre;\n  endfig;\nendfor;\n\nbeginfig(57)\n    fill polygone(I,P,L,C) shifted (B-P) withcolor orange;\n    fill polygone(I,B,J,M) shifted (A-M) withcolor orange;\n    fill polygone(J,Q,K,N) shifted (F-N) withcolor orange;\n    fill polygone(L,O,K,R) shifted (G-O) withcolor orange;\n\n    fill polygone(M,N,O,P) shifted (E-M) withcolor orange;\n    %------------------------------- Trac\u00e9 de la figure\n    draw fig ;\n    %------------------------------- Trac\u00e9 du cadre\n    draw cadre withcolor black withpen pencircle scaled 2pt;    \n    clip currentpicture to cadre;\nendfig;\n\nend ;\n\n<\/pre>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":2500,"menu_order":4,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-133","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>Animation (5) sur Pythagore - Maths &amp; 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