{"id":121,"date":"2007-10-02T19:28:25","date_gmt":"2007-10-02T17:28:25","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/les-instruments-de-geometrie\/"},"modified":"2023-10-14T20:12:45","modified_gmt":"2023-10-14T18:12:45","slug":"les-instruments-de-geometrie","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/divers\/les-instruments-de-geometrie\/","title":{"rendered":"Les instruments de g\u00e9om\u00e9trie"},"content":{"rendered":"<p><strong>Le rapporteur :<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-632\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/10\/jpg_rapporteur.jpg\" alt=\"rapporteur.jpg\" width=\"516\" height=\"349\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/10\/jpg_rapporteur.jpg 516w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/10\/jpg_rapporteur-300x203.jpg 300w\" sizes=\"auto, (max-width: 516px) 100vw, 516px\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-8u,-8u,10u,8u);\nnumeric r;\nr:=8;\n\npair O,I,II;\nO:=(0,0);\nI:=(r*u,0);\nII:=(-r*u,0);\n\nmarque_p :=\"croix\";\nMarquePoint(O);\n\n\ntrace arccercle(I,II,O);\n\nnumeric ang;\nang := 20;\npair J,JJ;\nJ:=I rotatedaround(O,-ang);\nJJ:=II rotatedaround(O,ang);\ntrace arccercle(J,I,O);\ntrace arccercle(II,JJ,O);\ndraw J--JJ;\n\npair K,KK;\nK:=((r-3)*u,0);\nKK:=(-(r-3)*u,0);\ntrace arccercle(K,KK,O);\ndraw K--KK;\n\n%-----------graduations ext\u00e9rieures\n\npair a[],b[];\n\nfor i:=0 upto 17:\n  a[i]:= ((r-0.7)*u,0) rotatedaround(O,i*10);\n  b[i]:= (r*u,0) rotatedaround(O,i*10);\n  draw a[i]--b[i] withpen pencircle scaled 1.5bp;\n  if (i&lt;&gt;9) :\n    label(TEX(\"{\\bf\"&amp; decimal(180-i*10)&amp;\"}\"),((r-1)*u,0)) rotatedaround(((r-1)*u,0),-90)   rotatedaround(O,i*10);\n  fi;\n  a[i]:= ((r-0.5)*u,0) rotatedaround(O,i*10+5);\n  b[i]:= (r*u,0) rotatedaround(O,i*10+5);\n  draw a[i]--b[i] withpen pencircle scaled 1.5bp;\n  for j:=1 upto 4:\n     a[j]:= ((r-0.3)*u,0) rotatedaround(O,i*10+j);\n     b[j]:= (r*u,0) rotatedaround(O,i*10+j);\n     draw a[j]--b[j] withpen pencircle scaled 1.5bp;\n  endfor;\n  for j:=6 upto 9:\n     a[j]:= ((r-0.3)*u,0) rotatedaround(O,i*10+j);\n     b[j]:= (r*u,0) rotatedaround(O,i*10+j);\n     draw a[j]--b[j] withpen pencircle scaled 1.5bp;\n  endfor;  \nendfor;\n  i:=18;\n  a[i]:= ((r-0.7)*u,0) rotatedaround(O,i*10);\n  b[i]:= (r*u,0) rotatedaround(O,i*10);\n  draw a[i]--b[i] withpen pencircle scaled 1.5bp;\n  label(TEX(\"{\\bf\"&amp; decimal(180-i*10)&amp;\"}\"),((r-1)*u,0)) rotatedaround(((r-1)*u,0),-90) rotatedaround(O,i*10);\n  \n\n%-----------graduations int\u00e9rieures\n\nfor i:=0 upto 17:\n  a[i]:= ((r-2.3)*u,0) rotatedaround(O,i*10);\n  b[i]:= ((r-3)*u,0) rotatedaround(O,i*10);\n  draw a[i]--b[i] withpen pencircle scaled 1bp;\n  if (i&lt;&gt;9) :\n    label(TEX(\"{\\bf\"&amp; decimal(i*10)&amp;\"}\"),((r-2)*u,0)) rotatedaround(((r-2)*u,0),-90)   rotatedaround(O,i*10);\n  fi;  \n  a[i]:= ((r-2.5)*u,0) rotatedaround(O,i*10+5);\n  b[i]:= ((r-3)*u,0) rotatedaround(O,i*10+5);\n  draw a[i]--b[i] withpen pencircle scaled 1bp;\n  for j:=1 upto 4:\n     a[j]:= ((r-2.7)*u,0) rotatedaround(O,i*10+j);\n     b[j]:= ((r-3)*u,0) rotatedaround(O,i*10+j);\n     draw a[j]--b[j] withpen pencircle scaled 1bp;\n  endfor;\n  for j:=6 upto 9:\n     a[j]:= ((r-2.7)*u,0) rotatedaround(O,i*10+j);\n     b[j]:= ((r-3)*u,0) rotatedaround(O,i*10+j);\n     draw a[j]--b[j] withpen pencircle scaled 1bp;\n  endfor;  \nendfor;\n  i:=18;\n  a[i]:= ((r-2.3)*u,0) rotatedaround(O,i*10);\n  b[i]:= ((r-3)*u,0) rotatedaround(O,i*10);\n  draw a[i]--b[i] withpen pencircle scaled 1bp;\n  label(TEX(\"{\\bf\"&amp; decimal(180)&amp;\"}\"),((r-2)*u,0)) rotatedaround(((r-2)*u,0),-90) rotatedaround(O,i*10);\n\n\n%gradution du 90\n  draw (0,(r-1)*u)--(0,(r-0.7)*u) withpen pencircle scaled 1.5bp;\n  draw (0,(r-2)*u)--(0,(r-2.3)*u) withpen pencircle scaled 1bp;  \n  label(TEX(\"{\\bf\"&amp; decimal(90)&amp;\"}\"),((r-1.5)*u,0)) rotatedaround(((r-1.5)*u,0),-90)   rotatedaround(O,90);\n\n\n%-----------graduations horizontales\n\nfor i:=-7 upto 6:\n  a[i]:= (i*u,ypart.JJ);\n  b[i]:= (i*u,ypart.JJ+0.7u);\n  draw a[i]--b[i];\n  label.top(TEX(\"{\"&amp; decimal(i)&amp;\"}\"),b[i]); \n  a[i]:= (i*u+0.5u,ypart.JJ);\n  b[i]:= (i*u+0.5u,ypart.JJ+0.5u);\n  draw a[i]--b[i];\n  for j:=1 upto 4:\n     a[j]:= (i*u+0.1*j*u,ypart.JJ);\n     b[j]:= (i*u+0.1*j*u,ypart.JJ+0.3u);\n     draw a[j]--b[j];\n  endfor;\n  for j:=6 upto 9:\n     a[j]:= (i*u+0.1*j*u,ypart.JJ);\n     b[j]:= (i*u+0.1*j*u,ypart.JJ+0.3u);\n     draw a[j]--b[j];\n  endfor;  \nendfor;\n  i:=7;\n  a[i]:= (i*u,ypart.JJ);\n  b[i]:= (i*u,ypart.JJ+0.7u);\n  draw a[i]--b[i];\n  label.top(TEX(\"{\"&amp; decimal(i)&amp;\"}\"),b[i]);\n\n%trait du O\n  draw O--(0,-u);\n\n\nfin;<\/pre>\n<hr \/>\n<p><strong>La r\u00e8gle :<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-633\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/10\/jpg_regle.jpg\" alt=\"regle.jpg\" width=\"499\" height=\"136\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/10\/jpg_regle.jpg 499w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/10\/jpg_regle-300x82.jpg 300w\" sizes=\"auto, (max-width: 499px) 100vw, 499px\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-8u,-8u,20u,8u);\nnumeric la,lo;\nla:=4;\nlo:=16;\n\npair A,B,C,D;\nA:=(0,0);\nB:=(lo*u,0);\nC:=(lo*u,la*u);\nD:=(0,la*u);\n\nnumeric r;\nr:=0.3;\n\ndraw A shifted(r*u,0)--B shifted(-r*u,0)..B shifted(-0.1u,0.1u)..B shifted(0,r*u)--C shifted(0,-r*u)\n..C shifted(-0.1u,-0.1u)..C shifted(-r*u,0)--D shifted(r*u,0)..D shifted(0.1u,-0.1u)..D shifted(0,-r*u)\n--A shifted(0,r*u)..A shifted(0.1u,0.1u)..A shifted(r*u,0);\n\ndraw D shifted(0,-1.5u)--C shifted(0,-1.5u) withcolor (0.5,0.5,0.5) withpen pencircle scaled 0.5bp;\n\n%-----------graduations horizontales\n\npair a[],b[];\n\nfor i:=0 upto (lo-2):\n  a[i]:= (i*u+0.5u,ypart.D);\n  b[i]:= (i*u+0.5u,ypart.D-0.7u);\n  draw a[i]--b[i];\n  label.bot(TEX(\"{\"&amp; decimal(i)&amp;\"}\"),b[i]); \n  a[i]:= (i*u+u,ypart.D);\n  b[i]:= (i*u+u,ypart.D-0.5u);\n  draw a[i]--b[i];\n  for j:=1 upto 4:\n     a[j]:= (i*u+0.1*j*u+0.5u,ypart.D);\n     b[j]:= (i*u+0.1*j*u+0.5u,ypart.D-0.3u);\n     draw a[j]--b[j];\n  endfor;\n  for j:=6 upto 9:\n     a[j]:= (i*u+0.1*j*u+0.5u,ypart.D);\n     b[j]:= (i*u+0.1*j*u+0.5u,ypart.D-0.3u);\n     draw a[j]--b[j];\n  endfor;  \nendfor;\n  i:=lo-1;\n  a[i]:= (i*u+0.5u,ypart.D);\n  b[i]:= (i*u+0.5u,ypart.D-0.7u);\n  draw a[i]--b[i];\n  label.bot(TEX(\"{\"&amp; decimal(i)&amp;\"}\"),b[i]);\n\n\nfin;<\/pre>\n<hr \/>\n<p><strong>L&rsquo;\u00e9querre :<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-634\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/10\/jpg_equerre.jpg\" alt=\"equerre.jpg\" width=\"509\" height=\"324\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/10\/jpg_equerre.jpg 509w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/10\/jpg_equerre-300x191.jpg 300w\" sizes=\"auto, (max-width: 509px) 100vw, 509px\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-8u,-15u,20u,8u);\n\nnumeric la,lo;\nla:=10;\nlo:=16;\n\npair A,B,C,D;\nA:=(0,0);\nB:=(lo*u,0);\nC:=(lo*u,-u);\nD:=(0,-la*u);\n\nnumeric r;\nr:=0.3;\n\ndraw A shifted(r*u,0)--B shifted(-r*u,0)..B shifted(-0.1u,-0.1u)..B shifted(0,-r*u)--C\n--D--A shifted(0,-r*u) ..A shifted(0.1u,-0.1u)..A shifted(r*u,0);\n\npair CC;\nCC=whatever[A,B];\nCC=whatever[C,D];\n\npair V;\nV:=(2u,-2u);\nnumeric r;\nr:=0.5;\n\npair CCC,DDD;\nCCC:=r[A,CC];\nDDD:=r[A,D];\n\ndraw A shifted V--CCC shifted V -- DDD shifted V--A shifted V;\n\n%draw D shifted(0,-1.5u)--C shifted(0,-1.5u) withcolor (0.5,0.5,0.5) withpen pencircle scaled 0.5bp;\n\n%-----------graduations horizontales\n\npair a[],b[];\n\nfor i:=0 upto (lo-2):\n  a[i]:= (i*u+0.5u,0);\n  b[i]:= (i*u+0.5u,-0.7u);\n  draw a[i]--b[i];\n  label.bot(TEX(\"{\"&amp; decimal(i)&amp;\"}\"),b[i]); \n  a[i]:= (i*u+u,0);\n  b[i]:= (i*u+u,-0.5u);\n  draw a[i]--b[i];\n  for j:=1 upto 4:\n     a[j]:= (i*u+0.1*j*u+0.5u,0);\n     b[j]:= (i*u+0.1*j*u+0.5u,-0.3u);\n     draw a[j]--b[j];\n  endfor;\n  for j:=6 upto 9:\n     a[j]:= (i*u+0.1*j*u+0.5u,0);\n     b[j]:= (i*u+0.1*j*u+0.5u,-0.3u);\n     draw a[j]--b[j];\n  endfor;  \nendfor;\n  i:=lo-1;\n  a[i]:= (i*u+0.5u,0);\n  b[i]:= (i*u+0.5u,-0.7u);\n  draw a[i]--b[i];\n  label.bot(TEX(\"{\"&amp; decimal(i)&amp;\"}\"),b[i]);\n\n\n\nfin;<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Le rapporteur : Voici son code : u:=1cm; figure (-8u,-8u,10u,8u); numeric r; r:=8; pair O,I,II; O:=(0,0); I:=(r*u,0); II:=(-r*u,0); marque_p :=\u00a0\u00bbcroix\u00a0\u00bb; MarquePoint(O); trace arccercle(I,II,O); numeric ang; ang := 20; pair J,JJ;&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2414,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-121","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>Les instruments de g\u00e9om\u00e9trie - 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\/divers\/les-instruments-de-geometrie\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Les instruments de g\u00e9om\u00e9trie - Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Le rapporteur : Voici son code : u:=1cm; figure (-8u,-8u,10u,8u); numeric r; r:=8; pair O,I,II; O:=(0,0); I:=(r*u,0); II:=(-r*u,0); marque_p :=&quot;croix&quot;; MarquePoint(O); trace arccercle(I,II,O); numeric ang; ang := 20; pair J,JJ;&hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/divers\/les-instruments-de-geometrie\/\" \/>\n<meta property=\"og:site_name\" content=\"Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"article:modified_time\" content=\"2023-10-14T18:12:45+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/10\/jpg_rapporteur.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=\"6 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\/divers\/les-instruments-de-geometrie\/\",\"url\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/divers\/les-instruments-de-geometrie\/\",\"name\":\"Les instruments de g\u00e9om\u00e9trie - Maths &amp; Num\u00e9rique\",\"isPartOf\":{\"@id\":\"https:\/\/wordpress.callac.online\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/divers\/les-instruments-de-geometrie\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/divers\/les-instruments-de-geometrie\/#primaryimage\"},\"thumbnailUrl\":\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/10\/jpg_rapporteur.jpg\",\"datePublished\":\"2007-10-02T17:28:25+00:00\",\"dateModified\":\"2023-10-14T18:12:45+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/divers\/les-instruments-de-geometrie\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/divers\/les-instruments-de-geometrie\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/divers\/les-instruments-de-geometrie\/#primaryimage\",\"url\":\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/10\/jpg_rapporteur.jpg\",\"contentUrl\":\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/10\/jpg_rapporteur.jpg\",\"width\":516,\"height\":349,\"caption\":\"rapporteur.jpg\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/divers\/les-instruments-de-geometrie\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/wordpress.callac.online\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u00c9dition math\u00e9matique\",\"item\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Metapost\",\"item\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Divers\",\"item\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/divers\/\"},{\"@type\":\"ListItem\",\"position\":5,\"name\":\"Les instruments de g\u00e9om\u00e9trie\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/wordpress.callac.online\/#website\",\"url\":\"https:\/\/wordpress.callac.online\/\",\"name\":\"Maths & Num\u00e9rique\",\"description\":\"Des outils pour les enseignants de math\u00e9matiques et de num\u00e9rique\",\"publisher\":{\"@id\":\"https:\/\/wordpress.callac.online\/#\/schema\/person\/04061f1ca2c2c42039142a704be95940\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/wordpress.callac.online\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\/\/wordpress.callac.online\/#\/schema\/person\/04061f1ca2c2c42039142a704be95940\",\"name\":\"dlefur\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/wordpress.callac.online\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/4a9e17be136808c6597f28aa2b6c13126dab066fdc2198ff60090972c9b7fafc?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/4a9e17be136808c6597f28aa2b6c13126dab066fdc2198ff60090972c9b7fafc?s=96&d=mm&r=g\",\"caption\":\"dlefur\"},\"logo\":{\"@id\":\"https:\/\/wordpress.callac.online\/#\/schema\/person\/image\/\"},\"description\":\"Enseignant de math\u00e9matiques Lyc\u00e9e Pasteur S\u00e3o Paulo\",\"sameAs\":[\"http:\/\/wordpress.callac.online\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Les instruments de g\u00e9om\u00e9trie - Maths &amp; 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