{"id":131,"date":"2007-10-30T09:50:03","date_gmt":"2007-10-30T08:50:03","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/animation-3-sur-pythagore-translations\/"},"modified":"2023-10-14T20:12:56","modified_gmt":"2023-10-14T18:12:56","slug":"animation-3-sur-pythagore-translations","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/animations-avec-metapost\/animations-sur-pythagore\/animation-3-sur-pythagore-translations\/","title":{"rendered":"Animation (3) sur Pythagore"},"content":{"rendered":"<a href=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2020\/07\/pythagore3.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-toolbar=\"both\" data-toolbar-fixed=\"on\">pythagore3<\/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:=8u;\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;\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\n\nA:= B rotatedaround(0.5[B,C],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 H,I,L;\n\nH= whatever[D,E];\nH= whatever[A,A shifted(C-R)];\n\nI= whatever[R,Q];\nI= whatever[A,A shifted(C-R)];\n\nL= whatever[C,B];\nL= whatever[A,A shifted(C-R)];\n\ndraw I--H dashed evenly;\ndraw H--E dashed evenly;\ndraw H--F dashed evenly;\n\npicture fig;\npath poly;\n\nfig:=currentpicture;\ncurrentpicture:=nullpicture;\n\nbeginfig(1)\n  fill polygone(A,C,D,E) withcolor orange;  \n  fill polygone(A,B,G,F) withcolor orange;\n\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  \n\nfor i:=0 upto 10:\n  beginfig(i+2)\n    fill polygone(A,B,G,F) withcolor orange;\n\n    pair DD,EE;\n    DD:=D shifted (0.1*i*(H-E));\n    EE:=E shifted (0.1*i*(H-E));\n    poly := polygone(A,C,DD,EE);\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:=1 upto 10:\n  beginfig(i+12)\n    fill polygone(A,B,G,F) withcolor orange;\n\n    pair DD,EE;\n    DD:=D shifted (H-E);\n    EE:=E shifted (H-E);\n    poly := polygone(A,C,DD,EE) shifted (0.1*i*(R-C));\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:=1 upto 10:\n  beginfig(i+22)\n    fill polygone(A,B,G,F) withcolor orange;\n\n    pair K;\n    K:=A shifted (R-C);\n    pair AA,KK;\n    AA:=A shifted (0.1*i*(I-K));\n    KK:=K shifted (0.1*i*(I-K));\n    poly := polygone(R,C,AA,KK);\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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n\nfor i:=0 upto 10:\n  beginfig(i+33)\n    fill polygone(I,R,C,L) withcolor orange;\n\n    pair FF,GG;\n    FF:=F shifted (0.1*i*(H-F));\n    GG:=G shifted (0.1*i*(H-F));\n    poly := polygone(A,B,GG,FF);\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:=1 upto 10:\n  beginfig(i+43)\n    fill polygone(I,R,C,L) withcolor orange;\n\n    pair FF,GG;\n    FF:=F shifted (H-F);\n    GG:=G shifted (H-F);\n    poly := polygone(A,B,GG,FF) shifted (0.1*i*(Q-B));\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:=1 upto 10:\n  beginfig(i+53)\n    fill polygone(I,R,C,L) withcolor orange;\n\n    pair K;\n    K:=A shifted (Q-B);\n    pair AA,KK;\n    AA:=A shifted (0.1*i*(I-K));\n    KK:=K shifted (0.1*i*(I-K));\n    poly := polygone(Q,B,AA,KK);\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(64)\n  fill polygone(I,R,C,L) withcolor orange;  \n  fill polygone(L,B,Q,I) withcolor orange;\n\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":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-131","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 (3) sur Pythagore - 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\/animations-sur-pythagore\/animation-3-sur-pythagore-translations\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Animation (3) sur Pythagore - Maths &amp; 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