{"id":191,"date":"2013-12-22T20:50:00","date_gmt":"2013-12-22T19:50:00","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/le-paquet-pro-geometrie\/"},"modified":"2023-10-14T20:12:26","modified_gmt":"2023-10-14T18:12:26","slug":"le-paquet-pro-geometrie","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/professor\/les-paquets-de-professor-sty-2\/paquets-obsoletes\/le-paquet-pro-geometrie\/","title":{"rendered":"Le paquet pro-geometrie"},"content":{"rendered":"<p>Cet outil a pour but de faciliter la r\u00e9daction de documents sur la <strong>g\u00e9om\u00e9trie<\/strong>.<\/p>\n<p><strong><span style=\"color: #ff0000;\">Je n&rsquo;utilise plus ce paquet mais il peut vous servir comme base de d\u00e9part &#8230;<\/span><\/strong><\/p>\n<p><strong>L&rsquo;ensemble des dessins \u00e0 main lev\u00e9e repose sur le paquet <a href=\"http:\/\/melusine.eu.org\/syracuse\/poulecl\/geometriesyr16\/\">geometriesyr16<\/a> de Christophe Poulain.<\/strong><\/p>\n<h2>Dans le pr\u00e9ambule<\/h2>\n<hr \/>\n<p>On rajoute ceci :<\/p>\n<p><code>\\usepackage[xcas]{pro-geometrie}<\/code><\/p>\n<p>Le fichier suivant est encod\u00e9 en utf-8 et est pr\u00e9vu pour une compilation avec pdflatex. L&rsquo;ent\u00eate vous permettra de facilement changer l&rsquo;encodage ou le type de sortie voulue (pdf pour pdflatex ou ps pour latex).<\/p>\n<h2>pro-cerclecir<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-cerclecir}{1}\n[\"M\",\"A\",\"B\"],  \/\/M, diametre[AC]\n[60],           \/\/ angle pour placer M\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-cerclecir}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-783\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo1.jpg\" alt=\"geo1.jpg\" width=\"1092\" height=\"328\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo1.jpg 1092w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo1-300x90.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo1-1024x308.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo1-768x231.jpg 768w\" sizes=\"auto, (max-width: 1092px) 100vw, 1092px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_cerclecir i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-anginscrit<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-anginscrit}{1}\n[\"A\",\"B\",\"E\",\"F\"], \/\/ angles inscrits AEB et AFB\n[30,100,200,300],  \/\/ angles pour placer A,B,E,F\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-anginscrit}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-784\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo2.jpg\" alt=\"geo2.jpg\" width=\"1078\" height=\"381\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo2.jpg 1078w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo2-300x106.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo2-1024x362.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo2-768x271.jpg 768w\" sizes=\"auto, (max-width: 1078px) 100vw, 1078px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_anginscrit i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-angcentre<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-angcentre}{1}\n[\"A\",\"B\",\"E\",\"O\"],  \/\/ angles inscrit AEB et au centre AOB\n[30,100,250],       \/\/ angles pour placer A,B,E\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-angcentre}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-785\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo3.jpg\" alt=\"geo3.jpg\" width=\"1108\" height=\"396\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo3.jpg 1108w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo3-300x107.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo3-1024x366.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo3-768x274.jpg 768w\" sizes=\"auto, (max-width: 1108px) 100vw, 1108px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_angcentre i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-pythagore<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-pythagore}{1}\n[\"A\",\"B\",\"C\"],   \/\/ ABC rectangle en A\n[7,8,0],         \/\/ AB,BC,CA (0 si on cherche)\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-pythagore}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-786\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo4.jpg\" alt=\"geo4.jpg\" width=\"1093\" height=\"334\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo4.jpg 1093w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo4-300x92.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo4-1024x313.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo4-768x235.jpg 768w\" sizes=\"auto, (max-width: 1093px) 100vw, 1093px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_pythagore i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-recpythagore<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-recpythagore}{1}\n[\"A\",\"B\",\"C\"], \/\/ ABC avec BC grand cote\n[5,13,12],     \/\/ AB,BC,CA\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-recpythagore}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-787\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo5.jpg\" alt=\"geo5.jpg\" width=\"1101\" height=\"215\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo5.jpg 1101w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo5-300x59.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo5-1024x200.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo5-768x150.jpg 768w\" sizes=\"auto, (max-width: 1101px) 100vw, 1101px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_recpythagore i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-thales<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-thales}{1}\n[\"A\",\"B\",\"C\",\"M\",\"N\"], \/\/ M sur (AB),N sur (AC)\n[\"papillon\"],    \/\/ papillon ou normal\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-thales}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-788\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo6.jpg\" alt=\"geo6.jpg\" width=\"1089\" height=\"298\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo6.jpg 1089w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo6-300x82.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo6-1024x280.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo6-768x210.jpg 768w\" sizes=\"auto, (max-width: 1089px) 100vw, 1089px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_thales i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-recthales<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-recthales}{1}\n[\"A\",\"B\",\"C\",\"M\",\"N\"], \/\/ M sur (AB),N sur (AC)\n[\"normal\"],    \/\/ papillon ou normal\n[5,8,4,6.3],   \/\/ AM,AB,AN,AC\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-recthales}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-789\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo7.jpg\" alt=\"geo7.jpg\" width=\"1099\" height=\"402\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo7.jpg 1099w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo7-300x110.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo7-1024x375.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo7-768x281.jpg 768w\" sizes=\"auto, (max-width: 1099px) 100vw, 1099px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_recthales i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-trigo<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-trigo}{1}\n[\"A\",\"B\",\"C\"],   \/\/ ABC rectangle en A\n[2],             \/\/ 1 pour angle(ABC), 2 pour angle(BCA)\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-trigo}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-790\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo8.jpg\" alt=\"geo8.jpg\" width=\"1090\" height=\"306\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo8.jpg 1090w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo8-300x84.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo8-1024x287.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo8-768x216.jpg 768w\" sizes=\"auto, (max-width: 1090px) 100vw, 1090px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_trigo i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-angoppose<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-angoppose}{1}\n[\"P\",\"APR\",\"MPE\"], \/\/ sommet, noms des angles\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-angoppose}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-791\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo9.jpg\" alt=\"geo9.jpg\" width=\"1078\" height=\"148\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo9.jpg 1078w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo9-300x41.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo9-1024x141.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo9-768x105.jpg 768w\" sizes=\"auto, (max-width: 1078px) 100vw, 1078px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_angoppose i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-angaltint<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-angaltint}{1}\n[\"BEF\",\"DFB\"],  \/\/ noms des angles\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-angaltint}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-792\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo10.jpg\" alt=\"geo10.jpg\" width=\"1086\" height=\"179\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo10.jpg 1086w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo10-300x49.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo10-1024x169.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo10-768x127.jpg 768w\" sizes=\"auto, (max-width: 1086px) 100vw, 1086px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_angaltint i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-angcorres<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-angcorres}{1}\n[\"BEF\",\"DFH\"],  \/\/ noms des angles\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-angcorres}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-793\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo11.jpg\" alt=\"geo11.jpg\" width=\"1070\" height=\"216\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo11.jpg 1070w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo11-300x61.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo11-1024x207.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo11-768x155.jpg 768w\" sizes=\"auto, (max-width: 1070px) 100vw, 1070px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_angcorr i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-medianes<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">begin{pro-medianes}{1}\n[\"A\",\"B\",\"C\"],   \/\/ triangle ABC\n[\"I\",\"J\",\"K\"],   \/\/ medianes (AI),(BJ),(CK)\n[\"G\"],           \/\/ centre de gravite\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-medianes}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-794\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo12.jpg\" alt=\"geo12.jpg\" width=\"1110\" height=\"403\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo12.jpg 1110w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo12-300x109.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo12-1024x372.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo12-768x279.jpg 768w\" sizes=\"auto, (max-width: 1110px) 100vw, 1110px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_medianes i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-mediatrices<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-mediatrices}{1}\n[\"A\",\"B\",\"C\"],    \/\/ triangle ABC\n[\"I\",\"J\",\"K\"],   \/\/ mediatrices (AI),(BJ),(CK)\n[\"O\"],           \/\/ centre du cercle circonscrit\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-mediatrices}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-795\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo13.jpg\" alt=\"geo13.jpg\" width=\"1095\" height=\"394\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo13.jpg 1095w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo13-300x108.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo13-1024x368.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo13-768x276.jpg 768w\" sizes=\"auto, (max-width: 1095px) 100vw, 1095px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_mediatrices i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-hauteurs<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-hauteurs}{1}\n[\"A\",\"B\",\"C\"],    \/\/ triangle ABC\n[\"L\",\"M\",\"N\"],    \/\/ hauteurs (AL),(BM) et (CN)\n[\"H\"],           \/\/ orthocentre\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-hauteurs}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-796\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo14.jpg\" alt=\"geo14.jpg\" width=\"1096\" height=\"371\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo14.jpg 1096w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo14-300x102.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo14-1024x347.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo14-768x260.jpg 768w\" sizes=\"auto, (max-width: 1096px) 100vw, 1096px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_hauteurs i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-bissectrices<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-bissectrices}{1}\n[\"A\",\"B\",\"C\"],    \/\/ triangle ABC\n[\"L\",\"M\",\"N\"],    \/\/ points de contact du cercle inscrit\n[\"I\"],           \/\/ centre du cercle inscrit\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-bissectrices}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-797\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo15.jpg\" alt=\"geo15.jpg\" width=\"1093\" height=\"376\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo15.jpg 1093w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo15-300x103.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo15-1024x352.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo15-768x264.jpg 768w\" sizes=\"auto, (max-width: 1093px) 100vw, 1093px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_bissectrices i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-cube<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-cube}{1}\n[\"A\",\"B\",\"C\",\"D\"],  \/\/ face avant\n[\"E\",\"F\",\"G\",\"H\"],  \/\/ face arriere\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-cube}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-798\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo16.jpg\" alt=\"geo16.jpg\" width=\"1083\" height=\"347\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo16.jpg 1083w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo16-300x96.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo16-1024x328.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo16-768x246.jpg 768w\" sizes=\"auto, (max-width: 1083px) 100vw, 1083px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_cube i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-parallelepipede<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-parallelepipede}{1}\n[\"A\",\"B\",\"C\",\"D\"],  \/\/ face avant\n[\"E\",\"F\",\"G\",\"H\"],  \/\/ face arriere\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-parallelepipede}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-799\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo17.jpg\" alt=\"geo17.jpg\" width=\"1091\" height=\"238\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo17.jpg 1091w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo17-300x65.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo17-1024x223.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo17-768x168.jpg 768w\" sizes=\"auto, (max-width: 1091px) 100vw, 1091px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_parallelepipede i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-pyramide<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-pyramide}{1}\n[\"A\",\"B\",\"C\",\"D\"],  \/\/ base\n[\"S\",\"H\"],       \/\/ sommet, centre de la base\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-pyramide}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-800\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo18.jpg\" alt=\"geo18.jpg\" width=\"1093\" height=\"394\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo18.jpg 1093w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo18-300x108.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo18-1024x369.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo18-768x277.jpg 768w\" sizes=\"auto, (max-width: 1093px) 100vw, 1093px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_pyramide i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-secpyramide<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-secpyramide}{1}\n[\"A\",\"B\",\"C\",\"D\"],  \/\/ base\n[\"S\",\"H\"],       \/\/ sommet, centre de la base\n[1\/2],           \/\/ coefficient de reduction\n[\"A'\",\"B'\",\"C'\",\"D'\"], \/\/ section\n[\"H'\"],          \/\/ centre de la section\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-secpyramide}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-801\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo19.jpg\" alt=\"geo19.jpg\" width=\"1097\" height=\"394\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo19.jpg 1097w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo19-300x108.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo19-1024x368.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo19-768x276.jpg 768w\" sizes=\"auto, (max-width: 1097px) 100vw, 1097px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_secpyramide i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-cone<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-cone}{1}\n[\"S\",\"O\",\"M\"],   \/\/ sommet, centre de la base, point de la base\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-cone}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-802\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo20.jpg\" alt=\"geo20.jpg\" width=\"1070\" height=\"314\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo20.jpg 1070w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo20-300x88.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo20-1024x301.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo20-768x225.jpg 768w\" sizes=\"auto, (max-width: 1070px) 100vw, 1070px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_cone i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-seccone<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-seccone}{1}\n[\"S\",\"O\",\"M\"],   \/\/ sommet, centre de la base, point de la base\n[1\/2],           \/\/ coefficient de reduction\n[\"O'\",\"M'\"],     \/\/ centre de la section, point de la section\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-seccone}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-803\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo21.jpg\" alt=\"geo21.jpg\" width=\"1068\" height=\"308\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo21.jpg 1068w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo21-300x87.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo21-1024x295.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo21-768x221.jpg 768w\" sizes=\"auto, (max-width: 1068px) 100vw, 1068px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_seccone i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-sphere<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-sphere}{1}\n[\"O\",\"M\"],      \/\/ centre, point de la sphere\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-sphere}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-804\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo22.jpg\" alt=\"geo22.jpg\" width=\"1047\" height=\"282\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo22.jpg 1047w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo22-300x81.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo22-1024x276.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo22-768x207.jpg 768w\" sizes=\"auto, (max-width: 1047px) 100vw, 1047px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_sphere i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-secsphere<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">\\begin{pro-secsphere}{1}\n[\"O\"],           \/\/ centre\n[1\/2],           \/\/ coefficient\n[\"O'\",\"M\"],      \/\/ centre de la section, point de la section\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-secsphere}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-805\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo23.jpg\" alt=\"geo23.jpg\" width=\"1063\" height=\"264\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo23.jpg 1063w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo23-300x75.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo23-1024x254.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo23-768x191.jpg 768w\" sizes=\"auto, (max-width: 1063px) 100vw, 1063px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_secsphere i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-cylindre<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">\\begin{pro-cylindre}{1}\n[\"O\",\"M\"],      \/\/ centre de la base avant, point de la base avant\n[\"O'\",\"M'\"],     \/\/ centre de la base arriere, point de la base arriere\n[\"debout\"],      \/\/ debout ou couche\n[\"mainlevee\"]   \/\/ mainlevee ou normal\n\\end{pro-cylindre}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-806\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo24.jpg\" alt=\"geo24.jpg\" width=\"1066\" height=\"260\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo24.jpg 1066w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo24-300x73.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo24-1024x250.jpg 1024w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2013\/12\/jpg_geo24-768x187.jpg 768w\" sizes=\"auto, (max-width: 1066px) 100vw, 1066px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_cylindre i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cet outil a pour but de faciliter la r\u00e9daction de documents sur la g\u00e9om\u00e9trie. Je n&rsquo;utilise plus ce paquet mais il peut vous servir comme base de d\u00e9part &#8230; L&rsquo;ensemble&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2249,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-191","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>Le paquet pro-geometrie - 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\/professor\/les-paquets-de-professor-sty-2\/paquets-obsoletes\/le-paquet-pro-geometrie\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Le paquet pro-geometrie - Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Cet outil a pour but de faciliter la r\u00e9daction de documents sur la g\u00e9om\u00e9trie. 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