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{"id":26,"date":"2004-11-28T18:42:28","date_gmt":"2004-11-28T17:42:28","guid":{"rendered":"http:\/\/sixthform.info\/steve\/wordpress\/?p=26"},"modified":"2004-11-28T19:24:26","modified_gmt":"2004-11-28T18:24:26","slug":"more-graphics","status":"publish","type":"post","link":"https:\/\/sixthform.info\/steve\/wordpress\/?p=26","title":{"rendered":"More <img src='\/steve\/wordpress\/latexrender\/pictures\/c51d7e23458ca0e7373a8ed6ab56b2b9.gif' title='\\LaTeX' alt='\\LaTeX' border=0 align=absmiddle > Graphics"},"content":{"rendered":"<p>These graphics were taken from <a href=\"http:\/\/www.ursoswald.ch\/LaTeXGraphics\/pstricks\/pstricks.html\"  target=\"_blank\">LaTeX Graphics<\/a><\/p>\n<p><strong>Triangle with circumscribed, inscribed, adjacent and Feuerbach circles<\/strong><\/p>\n<p><a href=\"javascript:void(0)\"><img src='\/steve\/wordpress\/latexrender\/pictures\/e025fb66adc45d6e2154d7c6d94da956.gif' title='\\psset{unit=.25pt}&#10;\\begin{pspicture}*(420, 420)&#10;  \\psset{linewidth=.4pt}&#10;  % Frame&#10;  \\pspolygon(0, 0)(420, 0)(420, 420)(0, 420)&#10;  % Circumscribed circle and inscribed circle&#10;  \\pscircle[linecolor=blue](206, 222){166.18}&#10;  \\pscircle[linecolor=yellow](250, 197){75.42}&#10;  % Adjacent circles&#10;  \\pscircle[linestyle=dashed, linecolor=green](476, 135){157.68}&#10;  \\pscircle[linestyle=dashed, linecolor=green](-32, -22){266.53}&#10;  \\pscircle[linestyle=dashed, linecolor=green](132, 579){315.92}&#10;  % triangle&#10;  \\psset{linewidth=1pt}&#10;  \\pspolygon(43, 253)(361, 283)(287, 77)&#10;  % nine-points circle (Feuerbach)&#10;  \\pscircle[linestyle=dotted, linecolor=red](242, 195){83.09}&#10;\\end{pspicture}' alt='\\psset{unit=.25pt}&#10;\\begin{pspicture}*(420, 420)&#10;  \\psset{linewidth=.4pt}&#10;  % Frame&#10;  \\pspolygon(0, 0)(420, 0)(420, 420)(0, 420)&#10;  % Circumscribed circle and inscribed circle&#10;  \\pscircle[linecolor=blue](206, 222){166.18}&#10;  \\pscircle[linecolor=yellow](250, 197){75.42}&#10;  % Adjacent circles&#10;  \\pscircle[linestyle=dashed, linecolor=green](476, 135){157.68}&#10;  \\pscircle[linestyle=dashed, linecolor=green](-32, -22){266.53}&#10;  \\pscircle[linestyle=dashed, linecolor=green](132, 579){315.92}&#10;  % triangle&#10;  \\psset{linewidth=1pt}&#10;  \\pspolygon(43, 253)(361, 283)(287, 77)&#10;  % nine-points circle (Feuerbach)&#10;  \\pscircle[linestyle=dotted, linecolor=red](242, 195){83.09}&#10;\\end{pspicture}' border=0 align=absmiddle onclick=\"newWindow=window.open('\/steve\/wordpress\/latexrender\/latexcode.php?code=%5Cpsset%7Bunit%3D.25pt%7D%0A%5Cbegin%7Bpspicture%7D%2A%28420%2C+420%29%0A++%5Cpsset%7Blinewidth%3D.4pt%7D%0A++%25+Frame%0A++%5Cpspolygon%280%2C+0%29%28420%2C+0%29%28420%2C+420%29%280%2C+420%29%0A++%25+Circumscribed+circle+and+inscribed+circle%0A++%5Cpscircle%5Blinecolor%3Dblue%5D%28206%2C+222%29%7B166.18%7D%0A++%5Cpscircle%5Blinecolor%3Dyellow%5D%28250%2C+197%29%7B75.42%7D%0A++%25+Adjacent+circles%0A++%5Cpscircle%5Blinestyle%3Ddashed%2C+linecolor%3Dgreen%5D%28476%2C+135%29%7B157.68%7D%0A++%5Cpscircle%5Blinestyle%3Ddashed%2C+linecolor%3Dgreen%5D%28-32%2C+-22%29%7B266.53%7D%0A++%5Cpscircle%5Blinestyle%3Ddashed%2C+linecolor%3Dgreen%5D%28132%2C+579%29%7B315.92%7D%0A++%25+triangle%0A++%5Cpsset%7Blinewidth%3D1pt%7D%0A++%5Cpspolygon%2843%2C+253%29%28361%2C+283%29%28287%2C+77%29%0A++%25+nine-points+circle+%28Feuerbach%29%0A++%5Cpscircle%5Blinestyle%3Ddotted%2C+linecolor%3Dred%5D%28242%2C+195%29%7B83.09%7D%0A%5Cend%7Bpspicture%7D','latexCode','toolbar=no,location=no,scrollbars=yes,resizable=yes,status=yes,width=375,height=250,left=200,top=100');\"><\/a><\/p>\n<p><!--more--><br \/>\n<strong>Rotation of axes<\/strong><\/p>\n<p><a href=\"javascript:void(0)\"><img src='\/steve\/wordpress\/latexrender\/pictures\/4160e8ec5f7f807f05a1858638fde789.gif' title='\\setlength{\\unitlength}{1mm}&#10;\\begin{picture}(93,46)&#10;  \\put( 0,14){\\vector(1,0){60}}&#10;  \\put(61,13){$x$}&#10;  \\put(20,4){\\vector(0,1){37}}&#10;  \\put(19,43){$y$}&#10;  \\put(50,34){\\circle*{2}}&#10;  \\put(52,35){$P$}&#10;  \\multiput(20,34)(4,0){8}{\\line(1,0){2}}&#10;  \\put(14.5,33.5){$y_P$}&#10;  \\multiput(50,14)(0,4){5}{\\line(0,1){2}}&#10;  \\put(48,11){$x_P$}&#10;  \\put( 2,8){\\vector(3,1){56}}&#10;  \\put(59,26.5){$x^{\\prime}$}&#10;  \\multiput(50,34)(1.9,-5.7){2}&#10;    {\\line(1,-3){1.2}}&#10;  \\put(52,22){$x_P^{\\prime}$}&#10;  \\multiput(50,34)(-5.8,-1.933){6}&#10;    {\\line(-3,-1){3.6}}&#10;  \\put(12,21){$y_P^{\\prime}$}&#10;  \\put(22,8){\\vector(-1,3){10.5}}&#10;  \\put(10,41){$y^{\\prime}$}&#10;\\end{picture}' alt='\\setlength{\\unitlength}{1mm}&#10;\\begin{picture}(93,46)&#10;  \\put( 0,14){\\vector(1,0){60}}&#10;  \\put(61,13){$x$}&#10;  \\put(20,4){\\vector(0,1){37}}&#10;  \\put(19,43){$y$}&#10;  \\put(50,34){\\circle*{2}}&#10;  \\put(52,35){$P$}&#10;  \\multiput(20,34)(4,0){8}{\\line(1,0){2}}&#10;  \\put(14.5,33.5){$y_P$}&#10;  \\multiput(50,14)(0,4){5}{\\line(0,1){2}}&#10;  \\put(48,11){$x_P$}&#10;  \\put( 2,8){\\vector(3,1){56}}&#10;  \\put(59,26.5){$x^{\\prime}$}&#10;  \\multiput(50,34)(1.9,-5.7){2}&#10;    {\\line(1,-3){1.2}}&#10;  \\put(52,22){$x_P^{\\prime}$}&#10;  \\multiput(50,34)(-5.8,-1.933){6}&#10;    {\\line(-3,-1){3.6}}&#10;  \\put(12,21){$y_P^{\\prime}$}&#10;  \\put(22,8){\\vector(-1,3){10.5}}&#10;  \\put(10,41){$y^{\\prime}$}&#10;\\end{picture}' border=0 align=absmiddle onclick=\"newWindow=window.open('\/steve\/wordpress\/latexrender\/latexcode.php?code=%5Csetlength%7B%5Cunitlength%7D%7B1mm%7D%0A%5Cbegin%7Bpicture%7D%2893%2C46%29%0A++%5Cput%28+0%2C14%29%7B%5Cvector%281%2C0%29%7B60%7D%7D%0A++%5Cput%2861%2C13%29%7B%24x%24%7D%0A++%5Cput%2820%2C4%29%7B%5Cvector%280%2C1%29%7B37%7D%7D%0A++%5Cput%2819%2C43%29%7B%24y%24%7D%0A++%5Cput%2850%2C34%29%7B%5Ccircle%2A%7B2%7D%7D%0A++%5Cput%2852%2C35%29%7B%24P%24%7D%0A++%5Cmultiput%2820%2C34%29%284%2C0%29%7B8%7D%7B%5Cline%281%2C0%29%7B2%7D%7D%0A++%5Cput%2814.5%2C33.5%29%7B%24y_P%24%7D%0A++%5Cmultiput%2850%2C14%29%280%2C4%29%7B5%7D%7B%5Cline%280%2C1%29%7B2%7D%7D%0A++%5Cput%2848%2C11%29%7B%24x_P%24%7D%0A++%5Cput%28+2%2C8%29%7B%5Cvector%283%2C1%29%7B56%7D%7D%0A++%5Cput%2859%2C26.5%29%7B%24x%5E%7B%5Cprime%7D%24%7D%0A++%5Cmultiput%2850%2C34%29%281.9%2C-5.7%29%7B2%7D%0A++++%7B%5Cline%281%2C-3%29%7B1.2%7D%7D%0A++%5Cput%2852%2C22%29%7B%24x_P%5E%7B%5Cprime%7D%24%7D%0A++%5Cmultiput%2850%2C34%29%28-5.8%2C-1.933%29%7B6%7D%0A++++%7B%5Cline%28-3%2C-1%29%7B3.6%7D%7D%0A++%5Cput%2812%2C21%29%7B%24y_P%5E%7B%5Cprime%7D%24%7D%0A++%5Cput%2822%2C8%29%7B%5Cvector%28-1%2C3%29%7B10.5%7D%7D%0A++%5Cput%2810%2C41%29%7B%24y%5E%7B%5Cprime%7D%24%7D%0A%5Cend%7Bpicture%7D','latexCode','toolbar=no,location=no,scrollbars=yes,resizable=yes,status=yes,width=375,height=250,left=200,top=100');\"><\/a><\/p>\n<p><strong>Multiple use of predefined partial pictures<\/strong><\/p>\n<p><a href=\"javascript:void(0)\"><img src='\/steve\/wordpress\/latexrender\/pictures\/b1db0f79147b3b2c5e3ceabcc2c841de.gif' title='\\setlength{\\unitlength}{.25mm}&#10;\\begin{picture}(120, 168)&#10;\\newsavebox{\\foldera}%&#10;\\savebox{\\foldera}(40, 32)[l]{%&#10;  \\multiput(0, 0)(0, 28){2}{\\line(1, 0){40}}&#10;  \\multiput(0, 0)(40, 0){2}{\\line(0, 1){28}}&#10;  \\put(1, 28){\\oval(2, 2)[tl]}&#10;  \\put(1, 29){\\line(1, 0){5}}&#10;  \\put(9, 29){\\oval(6, 6)[tl]}&#10;  \\put(9, 32){\\line(1, 0){8}}&#10;  \\put(17, 29){\\oval(6, 6)[tr]}&#10;  \\put(20, 29){\\line(1, 0){19}}&#10;  \\put(39, 28){\\oval(2, 2)[tr]}&#10;}&#10;\\newsavebox{\\folderb}%&#10;\\savebox{\\folderb}(40, 32)[l]{%&#10;  \\put(0, 14){\\line(1, 0){8}}&#10;  \\put(8, 0){\\usebox{\\foldera}}&#10;}&#10;\\multiput(0, 0)(120, 0){2}{\\line(0, 1){168}}&#10;\\multiput(0, 0)(0, 168){2}{\\line(1, 0){120}}&#10;\\put(34, 26){\\line(0, 1){102}}&#10;\\put(14, 128){\\usebox{\\foldera}}&#10;\\multiput(34, 86)(0, -37){3}{\\usebox{\\folderb}}&#10;\\end{picture}' alt='\\setlength{\\unitlength}{.25mm}&#10;\\begin{picture}(120, 168)&#10;\\newsavebox{\\foldera}%&#10;\\savebox{\\foldera}(40, 32)[l]{%&#10;  \\multiput(0, 0)(0, 28){2}{\\line(1, 0){40}}&#10;  \\multiput(0, 0)(40, 0){2}{\\line(0, 1){28}}&#10;  \\put(1, 28){\\oval(2, 2)[tl]}&#10;  \\put(1, 29){\\line(1, 0){5}}&#10;  \\put(9, 29){\\oval(6, 6)[tl]}&#10;  \\put(9, 32){\\line(1, 0){8}}&#10;  \\put(17, 29){\\oval(6, 6)[tr]}&#10;  \\put(20, 29){\\line(1, 0){19}}&#10;  \\put(39, 28){\\oval(2, 2)[tr]}&#10;}&#10;\\newsavebox{\\folderb}%&#10;\\savebox{\\folderb}(40, 32)[l]{%&#10;  \\put(0, 14){\\line(1, 0){8}}&#10;  \\put(8, 0){\\usebox{\\foldera}}&#10;}&#10;\\multiput(0, 0)(120, 0){2}{\\line(0, 1){168}}&#10;\\multiput(0, 0)(0, 168){2}{\\line(1, 0){120}}&#10;\\put(34, 26){\\line(0, 1){102}}&#10;\\put(14, 128){\\usebox{\\foldera}}&#10;\\multiput(34, 86)(0, -37){3}{\\usebox{\\folderb}}&#10;\\end{picture}' border=0 align=absmiddle onclick=\"newWindow=window.open('\/steve\/wordpress\/latexrender\/latexcode.php?code=%5Csetlength%7B%5Cunitlength%7D%7B.25mm%7D%0A%5Cbegin%7Bpicture%7D%28120%2C+168%29%0A%5Cnewsavebox%7B%5Cfoldera%7D%25%0A%5Csavebox%7B%5Cfoldera%7D%2840%2C+32%29%5Bl%5D%7B%25%0A++%5Cmultiput%280%2C+0%29%280%2C+28%29%7B2%7D%7B%5Cline%281%2C+0%29%7B40%7D%7D%0A++%5Cmultiput%280%2C+0%29%2840%2C+0%29%7B2%7D%7B%5Cline%280%2C+1%29%7B28%7D%7D%0A++%5Cput%281%2C+28%29%7B%5Coval%282%2C+2%29%5Btl%5D%7D%0A++%5Cput%281%2C+29%29%7B%5Cline%281%2C+0%29%7B5%7D%7D%0A++%5Cput%289%2C+29%29%7B%5Coval%286%2C+6%29%5Btl%5D%7D%0A++%5Cput%289%2C+32%29%7B%5Cline%281%2C+0%29%7B8%7D%7D%0A++%5Cput%2817%2C+29%29%7B%5Coval%286%2C+6%29%5Btr%5D%7D%0A++%5Cput%2820%2C+29%29%7B%5Cline%281%2C+0%29%7B19%7D%7D%0A++%5Cput%2839%2C+28%29%7B%5Coval%282%2C+2%29%5Btr%5D%7D%0A%7D%0A%5Cnewsavebox%7B%5Cfolderb%7D%25%0A%5Csavebox%7B%5Cfolderb%7D%2840%2C+32%29%5Bl%5D%7B%25%0A++%5Cput%280%2C+14%29%7B%5Cline%281%2C+0%29%7B8%7D%7D%0A++%5Cput%288%2C+0%29%7B%5Cusebox%7B%5Cfoldera%7D%7D%0A%7D%0A%5Cmultiput%280%2C+0%29%28120%2C+0%29%7B2%7D%7B%5Cline%280%2C+1%29%7B168%7D%7D%0A%5Cmultiput%280%2C+0%29%280%2C+168%29%7B2%7D%7B%5Cline%281%2C+0%29%7B120%7D%7D%0A%5Cput%2834%2C+26%29%7B%5Cline%280%2C+1%29%7B102%7D%7D%0A%5Cput%2814%2C+128%29%7B%5Cusebox%7B%5Cfoldera%7D%7D%0A%5Cmultiput%2834%2C+86%29%280%2C+-37%29%7B3%7D%7B%5Cusebox%7B%5Cfolderb%7D%7D%0A%5Cend%7Bpicture%7D','latexCode','toolbar=no,location=no,scrollbars=yes,resizable=yes,status=yes,width=375,height=250,left=200,top=100');\"><\/a><\/p>\n<p><strong>The multiput and the linethickness command<\/strong><\/p>\n<p><a href=\"javascript:void(0)\"><img src='\/steve\/wordpress\/latexrender\/pictures\/5cb5bf47f3bc02c7c1948a9dfe36fad5.gif' title='\\setlength{\\unitlength}{2mm}&#10;\\begin{picture}(30, 20)&#10;  \\linethickness{0.075mm}&#10;  \\multiput(0, 0)(1, 0){31}{\\line(0, 1){20}}&#10;  \\multiput(0, 0)(0, 1){21}{\\line(1, 0){30}}&#10;  \\linethickness{0.15mm}&#10;  \\multiput(0, 0)(5, 0){7}{\\line(0, 1){20}}&#10;  \\multiput(0, 0)(0, 5){5}{\\line(1, 0){30}}&#10;  \\linethickness{0.3mm}&#10;  \\multiput(5, 0)(10, 0){3}{\\line(0, 1){20}}&#10;  \\multiput(0, 5)(0, 10){2}{\\line(1, 0){30}}&#10;\\end{picture}' alt='\\setlength{\\unitlength}{2mm}&#10;\\begin{picture}(30, 20)&#10;  \\linethickness{0.075mm}&#10;  \\multiput(0, 0)(1, 0){31}{\\line(0, 1){20}}&#10;  \\multiput(0, 0)(0, 1){21}{\\line(1, 0){30}}&#10;  \\linethickness{0.15mm}&#10;  \\multiput(0, 0)(5, 0){7}{\\line(0, 1){20}}&#10;  \\multiput(0, 0)(0, 5){5}{\\line(1, 0){30}}&#10;  \\linethickness{0.3mm}&#10;  \\multiput(5, 0)(10, 0){3}{\\line(0, 1){20}}&#10;  \\multiput(0, 5)(0, 10){2}{\\line(1, 0){30}}&#10;\\end{picture}' border=0 align=absmiddle onclick=\"newWindow=window.open('\/steve\/wordpress\/latexrender\/latexcode.php?code=%5Csetlength%7B%5Cunitlength%7D%7B2mm%7D%0A%5Cbegin%7Bpicture%7D%2830%2C+20%29%0A++%5Clinethickness%7B0.075mm%7D%0A++%5Cmultiput%280%2C+0%29%281%2C+0%29%7B31%7D%7B%5Cline%280%2C+1%29%7B20%7D%7D%0A++%5Cmultiput%280%2C+0%29%280%2C+1%29%7B21%7D%7B%5Cline%281%2C+0%29%7B30%7D%7D%0A++%5Clinethickness%7B0.15mm%7D%0A++%5Cmultiput%280%2C+0%29%285%2C+0%29%7B7%7D%7B%5Cline%280%2C+1%29%7B20%7D%7D%0A++%5Cmultiput%280%2C+0%29%280%2C+5%29%7B5%7D%7B%5Cline%281%2C+0%29%7B30%7D%7D%0A++%5Clinethickness%7B0.3mm%7D%0A++%5Cmultiput%285%2C+0%29%2810%2C+0%29%7B3%7D%7B%5Cline%280%2C+1%29%7B20%7D%7D%0A++%5Cmultiput%280%2C+5%29%280%2C+10%29%7B2%7D%7B%5Cline%281%2C+0%29%7B30%7D%7D%0A%5Cend%7Bpicture%7D','latexCode','toolbar=no,location=no,scrollbars=yes,resizable=yes,status=yes,width=375,height=250,left=200,top=100');\"><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>These graphics were taken from LaTeX Graphics Triangle with circumscribed, inscribed, adjacent and Feuerbach circles<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-26","post","type-post","status-publish","format-standard","hentry","category-general"],"_links":{"self":[{"href":"https:\/\/sixthform.info\/steve\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/26","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sixthform.info\/steve\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sixthform.info\/steve\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sixthform.info\/steve\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sixthform.info\/steve\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=26"}],"version-history":[{"count":0,"href":"https:\/\/sixthform.info\/steve\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/26\/revisions"}],"wp:attachment":[{"href":"https:\/\/sixthform.info\/steve\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=26"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sixthform.info\/steve\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=26"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sixthform.info\/steve\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=26"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}