{"id":3004,"date":"2021-01-25T22:42:19","date_gmt":"2021-01-25T21:42:19","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/le-logiciel-r\/les-graphiques-avec-r\/geometrie-analytique-avec-r\/"},"modified":"2023-10-14T20:14:25","modified_gmt":"2023-10-14T18:14:25","slug":"geometrie-analytique-avec-r","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/le-logiciel-r\/les-graphiques-avec-r\/geometrie-analytique-avec-r\/","title":{"rendered":"G\u00e9om\u00e9trie analytique avec R"},"content":{"rendered":"\n<p>Nous allons donner des exemples de codes permettant de cr\u00e9er et de sauvegarder des images de rep\u00e8res, contenant, des points, des segments, des vecteurs, des polygones.<\/p>\n<p>&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Point dans un rep\u00e8re<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_point.png\" alt=\"\" class=\"wp-image-3011\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_point.png 500w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_point-300x300.png 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_point-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"r\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">library(latex2exp)\n\n#############################################\n# debut  image\n#\npng( \"geo_point.png\", width = 500, height = 500 )\n\n\n#------ d\u00e9but du repere\na=-6\nb=6\n\n\nplot(0,0,\n\txlim=c(a,b),\n\tylim=c(a,b),\n\txaxs=\"i\",\n\tyaxs=\"i\",\n    asp=1,\n\taxes=FALSE,\n\txaxp=c(a,b,b-a),\n\tyaxp=c(a,b,b-a),\n\tpanel.first = grid(nx=b-a,ny=b-a),\n\txlab=NA,\n\tylab=NA,\n\ttype=\"l\",\n\tlwd=2,\n\tcol=\"red\")\n\naxis(1,pos=0,xaxp=c(a,b,b-a)) #,xaxp=c(a,b,b-a)\naxis(2,pos=0,las=2,yaxp=c(a,b,b-a)) # ,yaxp=c(a,b,b-a)\n#------ fin du rep\u00e8re\n\nxA = 2\nyA = 3\npoints(xA,yA,pch=4,cex=1.5)\ntext(xA,yA,TeX(\"$A$\"),pos=1,cex=1.5,col=\"blue\",offset=1.1)\n\ndev.off()\n\n#\n#fin  image\n#############################################\n\n<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Segment dans un rep\u00e8re<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_segment.png\" alt=\"\" class=\"wp-image-3012\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_segment.png 500w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_segment-300x300.png 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_segment-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"r\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">library(latex2exp)\n\n#############################################\n# debut  image\n#\npng( \"geo_segment.png\", width = 500, height = 500 )\n\n\n#------ d\u00e9but du repere\na=-6\nb=6\n\n\nplot(0,0,\n\txlim=c(a,b),\n\tylim=c(a,b),\n\txaxs=\"i\",\n\tyaxs=\"i\",\n    asp=1,\n\taxes=FALSE,\n\txaxp=c(a,b,b-a),\n\tyaxp=c(a,b,b-a),\n\tpanel.first = grid(nx=b-a,ny=b-a),\n\txlab=NA,\n\tylab=NA,\n\ttype=\"l\",\n\tlwd=2,\n\tcol=\"red\")\n\naxis(1,pos=0,xaxp=c(a,b,b-a)) #,xaxp=c(a,b,b-a)\naxis(2,pos=0,las=2,yaxp=c(a,b,b-a)) # ,yaxp=c(a,b,b-a)\n#------ fin du rep\u00e8re\n\nxA = 2\nyA = 3\npoints(xA,yA,pch=4,cex=1.)\ntext(xA,yA,TeX(\"$A$\"),pos=1,cex=1.5,col=\"blue\",offset=1.1)\nxB = 4\nyB = 5\npoints(xB,yB,pch=4,cex=1.)\ntext(xB,yB,TeX(\"$B$\"),pos=1,cex=1.5,col=\"blue\",offset=1.1)\n\nsegments(xA,yA,xB,yB,cex=1.5,col=\"blue\",lwd=2)\n\ndev.off()\n\n#\n#fin  image\n#############################################\n\n<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Vecteur dans un rep\u00e8re<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_vecteur.png\" alt=\"\" class=\"wp-image-3013\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_vecteur.png 500w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_vecteur-300x300.png 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_vecteur-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"r\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">library(latex2exp)\n\n#############################################\n# debut  image\n#\npng( \"geo_vecteur.png\", width = 500, height = 500 )\n\n\n#------ d\u00e9but du repere\na=-6\nb=6\n\n\nplot(0,0,\n\txlim=c(a,b),\n\tylim=c(a,b),\n\txaxs=\"i\",\n\tyaxs=\"i\",\n    asp=1,\n\taxes=FALSE,\n\txaxp=c(a,b,b-a),\n\tyaxp=c(a,b,b-a),\n\tpanel.first = grid(nx=b-a,ny=b-a),\n\txlab=NA,\n\tylab=NA,\n\ttype=\"l\",\n\tlwd=2,\n\tcol=\"red\")\n\naxis(1,pos=0,xaxp=c(a,b,b-a)) #,xaxp=c(a,b,b-a)\naxis(2,pos=0,las=2,yaxp=c(a,b,b-a)) # ,yaxp=c(a,b,b-a)\n#------ fin du rep\u00e8re\n\nxA = 2\nyA = 3\npoints(xA,yA,pch=4,cex=1.)\ntext(xA,yA,TeX(\"$A$\"),pos=1,cex=1.5,col=\"blue\",offset=1.1)\nxB = 4\nyB = 5\npoints(xB,yB,pch=4,cex=1.)\ntext(xB,yB,TeX(\"$B$\"),pos=4,cex=1.5,col=\"blue\",offset=1.1)\n\narrows(xA,yA,xB,yB,cex=1.5,col=\"blue\",lwd=2,length=0.15)\n\ndev.off()\n\n#\n#fin  image\n#############################################\n\n<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Droite dans un rep\u00e8re<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_droite.png\" alt=\"\" class=\"wp-image-3014\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_droite.png 500w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_droite-300x300.png 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_droite-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\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=\"\">library(latex2exp)\n\n#############################################\n# debut  image\n#\npng( \"geo_droite.png\", width = 500, height = 500 )\n\n\n#------ d\u00e9but du repere\na=-6\nb=6\n\n\nplot(0,0,\n\txlim=c(a,b),\n\tylim=c(a,b),\n\txaxs=\"i\",\n\tyaxs=\"i\",\n    asp=1,\n\taxes=FALSE,\n\txaxp=c(a,b,b-a),\n\tyaxp=c(a,b,b-a),\n\tpanel.first = grid(nx=b-a,ny=b-a),\n\txlab=NA,\n\tylab=NA,\n\ttype=\"l\",\n\tlwd=2,\n\tcol=\"red\")\n\naxis(1,pos=0,xaxp=c(a,b,b-a)) #,xaxp=c(a,b,b-a)\naxis(2,pos=0,las=2,yaxp=c(a,b,b-a)) # ,yaxp=c(a,b,b-a)\n#------ fin du rep\u00e8re\n\nxA = 2\nyA = 3\npoints(xA,yA,pch=4,cex=1.)\ntext(xA,yA,TeX(\"$A$\"),pos=1,cex=1.5,col=\"blue\",offset=1.1)\nxB = 4\nyB = 5\npoints(xB,yB,pch=4,cex=1.)\ntext(xB,yB,TeX(\"$B$\"),pos=1,cex=1.5,col=\"blue\",offset=1.1)\n\nf = function(x) {\n\ta = (yB-yA)\/(xB-xA)\n\tb = yA-a*xA\n\treturn(a*x+b)\n}\n\nx = a+ c(0:100)\/100*(b-a) ; \ny = f(x)\n\npoints(x,y,type=\"l\",lwd=2,col=\"blue\")\nxnom = -4\ntext(xnom,f(xnom),TeX(\"$(d)$\"),pos=3,cex=1.5,col=\"blue\",offset=1.1)\n\ndev.off()\n\n#\n#fin  image\n#############################################\n\n<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">Polygone dans un rep\u00e8re<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_polygone.png\" alt=\"\" class=\"wp-image-3015\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_polygone.png 500w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_polygone-300x300.png 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2021\/01\/geo_polygone-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"r\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">library(latex2exp)\n\n#############################################\n# debut  image\n#\npng( \"geo_polygone.png\", width = 500, height = 500 )\n\n\n#------ d\u00e9but du repere\na=-6\nb=6\n\n\nplot(0,0,\n\txlim=c(a,b),\n\tylim=c(a,b),\n\txaxs=\"i\",\n\tyaxs=\"i\",\n    asp=1,\n\taxes=FALSE,\n\txaxp=c(a,b,b-a),\n\tyaxp=c(a,b,b-a),\n\tpanel.first = grid(nx=b-a,ny=b-a),\n\txlab=NA,\n\tylab=NA,\n\ttype=\"l\",\n\tlwd=2,\n\tcol=\"red\")\n\naxis(1,pos=0,xaxp=c(a,b,b-a)) #,xaxp=c(a,b,b-a)\naxis(2,pos=0,las=2,yaxp=c(a,b,b-a)) # ,yaxp=c(a,b,b-a)\n#------ fin du rep\u00e8re\n\nxA = 2\nyA = 3\npoints(xA,yA,pch=4,cex=1.)\ntext(xA,yA,TeX(\"$A$\"),pos=2,cex=1.5,col=\"blue\",offset=1.1)\n\nxB = 4\nyB = 5\npoints(xB,yB,pch=3,cex=1.)\ntext(xB,yB,TeX(\"$B$\"),pos=4,cex=1.5,col=\"blue\",offset=1.1)\n\nxC = 3\nyC = -2\npoints(xC,yC,pch=4,cex=1.)\ntext(xC,yC,TeX(\"$C$\"),pos=1,cex=1.5,col=\"blue\",offset=1.1)\n\n\npolygon(c(xA,xB,xC),c(yA,yB,yC), xpd = TRUE, col = rgb(0,0,1,0.5), lty = 1, lwd = 1, border = \"black\")\n\ndev.off()\n\n#\n#fin  image\n#############################################\n\n<\/pre>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nous allons donner des exemples de codes permettant de cr\u00e9er et de sauvegarder des images de rep\u00e8res, contenant, des points, des segments, des vecteurs, des polygones. &nbsp; Point dans un&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2078,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-3004","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>G\u00e9om\u00e9trie analytique avec R - 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\/logiciels-mathematiques\/le-logiciel-r\/les-graphiques-avec-r\/geometrie-analytique-avec-r\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"G\u00e9om\u00e9trie analytique avec R - Maths &amp; Num\u00e9rique\" \/>\n<meta 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