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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>6 Design Principles</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse7.html" >next</a>] [<a
-href="#tailpgfmanualse6.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse6.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">6 </span> <a
- id="x7-660006"></a>Design Principles</h3>
-<!--l. 10--><p class="noindent">This section describes the design principles behind the Ti<span
-class="cmti-10">k</span>Z&nbsp;frontend, where Ti<span
-class="cmti-10">k</span>Z&nbsp;means &#8220;Ti<span
-class="cmti-10">k</span>Z&nbsp;ist <span
-class="cmti-10">kein</span>
-Zeichenprogramm.&#8221; To use Ti<span
-class="cmti-10">k</span>Z, as a <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;user say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{tikz}</span></span></span> somewhere in the preamble, as a plain
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;user say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\input</span><span
-class="cmtt-10">&nbsp;tikz.tex</span></span></span>. Ti<span
-class="cmti-10">k</span>Z&#8217;s job is to make your life easier by providing an easy-to-learn and
-easy-to-use syntax for describing graphics.
-<!--l. 18--><p class="indent"> The commands and syntax of Ti<span
-class="cmti-10">k</span>Z&nbsp;were influenced by several sources. The basic command names and the
-notion of path operations is taken from <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">F</small><small
-class="small-caps">O</small><small
-class="small-caps">N</small><small
-class="small-caps">T</small></span>, the option mechanism comes from <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small></span>, the notion of
-styles is reminiscent of <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small></span>. To make it all work together, some compromises were necessary. I also added some
-ideas of my own, like meta-arrows and coordinate transformations.
-<!--l. 26--><p class="indent"> The following basic design principles underlie Ti<span
-class="cmti-10">k</span>Z:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x7-66002x1"></a>Special syntax for specifying points.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x7-66004x2"></a>Special syntax for path specifications.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x7-66006x3"></a>Actions on paths.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x7-66008x4"></a>Key-value syntax for graphic parameters.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x7-66010x5"></a>Special syntax for nodes.
- </li>
- <li class="enumerate" value="6"
-><a
- id="x7-66012x6"></a>Special syntax for trees.
- </li>
- <li class="enumerate" value="7"
-><a
- id="x7-66014x7"></a>Grouping of graphic parameters.
- </li>
- <li class="enumerate" value="8"
-><a
- id="x7-66016x8"></a>Coordinate transformation system.</li></ol>
-<!--l. 40--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.1 </span> <a
- id="x7-670006.1"></a>Special Syntax For Specifying Points</h4>
-<!--l. 42--><p class="noindent">Ti<span
-class="cmti-10">k</span>Z&nbsp;provides a special syntax for specifying points and coordinates. In the simplest case, you provide two
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions, separated by commas, in round brackets as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1cm,2pt)</span></span></span>.
-<!--l. 46--><p class="indent"> You can also specify a point in polar coordinates by using a colon instead of a comma as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span>, which
-means &#8220;1cm in a 30 degrees direction.&#8221;
-<!--l. 50--><p class="indent"> If you do not provide a unit, as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,1)</span></span></span>, you specify a point in <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s <span
-class="cmmi-10">xy</span>-coordinate system. By default, the unit
-<span
-class="cmmi-10">x</span>-vector goes 1cm to the right and the unit <span
-class="cmmi-10">y</span>-vector goes 1cm upward.
-<!--l. 54--><p class="indent"> By specifying three numbers as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1,1)</span></span></span> you specify a point in <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s <span
-class="cmmi-10">xyz</span>-coordinate system.
-<!--l. 57--><p class="indent"> It is also possible to use an anchor of a previously defined shape as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(first</span><span
-class="cmtt-10">&nbsp;node.south)</span></span></span>.
-<!--l. 60--><p class="indent"> You can add two plus signs before a coordinate as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">++(1cm,0pt)</span></span></span>. This means &#8220;1cm to the right of the last
-point used.&#8221; This allows you to easily specify relative movements. For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,0)</span><span
-class="cmtt-10">&nbsp;++(1,0)</span><span
-class="cmtt-10">&nbsp;++(0,1)</span></span></span> specifies
-the three coordinates <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,0)</span></span></span>, then <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,0)</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,1)</span></span></span>.
-<!--l. 66--><p class="indent"> Finally, instead of two plus signs, you can also add a single one. This also specifies a point in a relative
-manner, but it does not &#8220;change&#8221; the current point used in subsequent relative commands. For example,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,0)</span><span
-class="cmtt-10">&nbsp;+(1,0)</span><span
-class="cmtt-10">&nbsp;+(0,1)</span></span></span> specifies the three coordinates <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,0)</span></span></span>, then <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,0)</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)</span></span></span>.
-
-
-<!--l. 72--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.2 </span> <a
- id="x7-680006.2"></a>Special Syntax For Path Specifications</h4>
-<!--l. 74--><p class="noindent">When creating a picture using Ti<span
-class="cmti-10">k</span>Z, your main job is the specification of <span
-class="cmti-10">paths</span>. A path is a series of straight or
-curved lines, which need not be connected. Ti<span
-class="cmti-10">k</span>Z&nbsp;makes it easy to specify paths, partly using the syntax of
-<span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">P</small><small
-class="small-caps">O</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small></span>. For example, to specify a triangular path you use
-<!--l. 79--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-66-" ><colgroup id="TBL-66-1g"><col
-id="TBL-66-1"></colgroup><tr
- valign="baseline" id="TBL-66-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-66-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">(5pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,5pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 82--><p class="indent"> and you get <object data="pgfmanual-65.svg" width="8.19995 " height="8.19995 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> when you draw this path.
-<!--l. 85--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.3 </span> <a
- id="x7-690006.3"></a>Actions on Paths</h4>
-<!--l. 87--><p class="noindent">A path is just a series of straight and curved lines, but it is not yet specified what should happen with it. One
-can <span
-class="cmti-10">draw </span>a path, <span
-class="cmti-10">fill </span>a path, <span
-class="cmti-10">shade </span>it, <span
-class="cmti-10">clip </span>it, or do any combination of these. Drawing (also known
-as <span
-class="cmti-10">stroking</span>) can be thought of as taking a pen of a certain thickness and moving it along the path,
-thereby drawing on the canvas. Filling means that the interior of the path is filled with a uniform color.
-Obviously, filling makes sense only for <span
-class="cmti-10">closed </span>paths and a path is automatically closed prior to filling, if
-necessary.
-<!--l. 97--><p class="indent"> Given a path as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;rectangle</span><span
-class="cmtt-10">&nbsp;(2ex,1ex);</span></span></span>, you can draw it by adding the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> option as in
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw]</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;rectangle</span><span
-class="cmtt-10">&nbsp;(2ex,1ex);</span></span></span>, which yields <object data="pgfmanual-66.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> command is just an abbreviation for
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw]</span></span></span>. To fill a path, use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span> option or the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\fill</span></span></span> command, which is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[fill]</span></span></span>.
-The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\filldraw</span></span></span> command is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[fill,draw]</span></span></span>. Shading is caused by the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> option (there
-are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shade</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shadedraw</span></span></span> abbreviations) and clipping by the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">clip</span></span></span> option. There is is also a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> command,
-which does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[clip]</span></span></span>, but not commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\drawclip</span></span></span>. Use, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw[clip]</span></span></span> or
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw,clip]</span></span></span> instead.
-<!--l. 110--><p class="indent"> All of these commands can only be used inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environments.
-<!--l. 113--><p class="indent"> Ti<span
-class="cmti-10">k</span>Z&nbsp;allows you to use different colors for filling and stroking.
-<!--l. 116--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.4 </span> <a
- id="x7-700006.4"></a>Key-Value Syntax for Graphic Parameters</h4>
-<!--l. 117--><p class="noindent">Whenever Ti<span
-class="cmti-10">k</span>Z&nbsp;draws or fills a path, a large number of graphic parameters influenced the rendering. Examples
-include the colors used, the dashing pattern, the clipping area, the line width, and many others. In Ti<span
-class="cmti-10">k</span>Z, all these
-options are specified as lists of so called key-value pairs, as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=red</span></span></span>, that are passed as optional parameters to
-the path drawing and filling commands. This usage is similar to <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small></span>. For example, the following will draw a
-thick, red triangle;
-<!--l. 125--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-67-" ><colgroup id="TBL-67-1g"><col
-id="TBL-67-1"><col
-id="TBL-67-2"></colgroup><tr
- valign="baseline" id="TBL-67-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-67-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-67.svg" width="41.6035 " height="3.66666 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-67-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=2pt,color=red]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 129--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.5 </span> <a
- id="x7-710006.5"></a>Special Syntax for Specifying Nodes</h4>
-<!--l. 130--><p class="noindent">Ti<span
-class="cmti-10">k</span>Z&nbsp;introduces a special syntax for adding text or, more generally, nodes to a graphic. When you specify a path,
-add nodes as in the following example:
-<!--l. 133--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-68-" ><colgroup id="TBL-68-1g"><col
-id="TBL-68-1"><col
-id="TBL-68-2"></colgroup><tr
- valign="baseline" id="TBL-68-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-68-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-68.svg" width="55.3141 " height="47.74796 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-68-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{text}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,2);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 136--><p class="indent"> Nodes are inserted at the current position of the path, but only <span
-class="cmti-10">after </span>the path has been rendered. When special
-options are given, as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(1,1)</span><span
-class="cmtt-10">&nbsp;node[circle,draw]</span><span
-class="cmtt-10">&nbsp;{text};</span></span></span>, the text is not just put at the current position.
-Rather, it is surrounded by a circle and this circle is &#8220;drawn.&#8221;
-<!--l. 143--><p class="indent"> You can add a name to a node for later reference either by using the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">name=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</span><span
-class="cmsy-10">&gt; </span>or by stating the
-node name in parentheses outside the text as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node[circle](name){text}</span></span></span>.
-<!--l. 147--><p class="indent"> Predefined shapes include <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ellipse</span></span></span>, but it is possible (though a bit challenging) to
-define new shapes.
-
-
-<!--l. 150--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.6 </span> <a
- id="x7-720006.6"></a>Special Syntax for Specifying Trees</h4>
-<!--l. 152--><p class="noindent">In addition to the &#8220;node syntax,&#8221; Ti<span
-class="cmti-10">k</span>Z&nbsp;also introduces a special syntax for drawing trees. The syntax is intergrated
-with the special node syntax and only few new commands need to be remebered. In essence, a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> can be followed
-by any number of children, each introduced by the keyword <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span>. The children are nodes themselves, each of which
-may have children in turn.
-<!--l. 159--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-69-" ><colgroup id="TBL-69-1g"><col
-id="TBL-69-1"><col
-id="TBL-69-2"></colgroup><tr
- valign="baseline" id="TBL-69-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-69-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-69.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-69-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 170--><p class="indent"> Since trees are made up from nodes, it is possible to use options to modify the way trees are drawn. Here are two
-examples of the above tree, redrawn with different options:
-<!--l. 174--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-70-" ><colgroup id="TBL-70-1g"><col
-id="TBL-70-1"><col
-id="TBL-70-2"></colgroup><tr
- valign="baseline" id="TBL-70-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-70-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-70.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-70-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</span><span
-class="cmtt-8">&nbsp;fork</span><span
-class="cmtt-8">&nbsp;down]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[fill=red!30,rounded</span><span
-class="cmtt-8">&nbsp;corners]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent}=[red,-o,thick,draw]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 187--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-71-" ><colgroup id="TBL-71-1g"><col
-id="TBL-71-1"><col
-id="TBL-71-2"></colgroup><tr
- valign="baseline" id="TBL-71-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-71-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-71.svg" width="153.7414 " height="123.29987 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-71-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[parent</span><span
-class="cmtt-8">&nbsp;anchor=east,child</span><span
-class="cmtt-8">&nbsp;anchor=west,grow=east]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[ball</span><span
-class="cmtt-8">&nbsp;color=red,circle,text=white]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent}=[draw,dashed,thick,red]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 201--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.7 </span> <a
- id="x7-730006.7"></a>Grouping of Graphic Parameters</h4>
-<!--l. 203--><p class="noindent">Graphic parameters should often apply to several path drawing or filling commands. For example, we may wish to
-draw numerous lines all with the same line width of 1pt. For this, we put these commands in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span>
-environment that takes the desired graphic options as an optional parameter. Naturally, the specified graphic
-parameters apply only to the drawing and filling commands inside the environment. Furthermore, nested
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environments or individual drawing commands can override the graphic parameters of outer
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environments. In the following example, three red lines, two green lines, and one blue line are
-drawn:
-<!--l. 214--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-72-" ><colgroup id="TBL-72-1g"><col
-id="TBL-72-1"><col
-id="TBL-72-2"></colgroup><tr
- valign="baseline" id="TBL-72-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-72-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-72.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-72-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[color=red]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,10mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,10mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,</span><span
-class="cmtt-8">&nbsp;8mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;8mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,</span><span
-class="cmtt-8">&nbsp;6mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;6mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[color=green]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0mm,</span><span
-class="cmtt-8">&nbsp;4mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;4mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0mm,</span><span
-class="cmtt-8">&nbsp;2mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;2mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=blue]</span><span
-class="cmtt-8">&nbsp;(0mm,</span><span
-class="cmtt-8">&nbsp;0mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;0mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 229--><p class="indent"> The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment itself also behaves like a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environment, that is, you can
-specify graphic parameters using an optional argument. These optional apply to all commands in the
-picture.
-<!--l. 235--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.8 </span> <a
- id="x7-740006.8"></a>Coordinate Transformation System</h4>
-<!--l. 237--><p class="noindent">Ti<span
-class="cmti-10">k</span>Z&nbsp;relies entirely on <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s <span
-class="cmti-10">coordinate </span>transformation system to perform transformations. <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;also supports
-<span
-class="cmti-10">canvas </span>transformations, a more low-level transformation system, but this system is not accessible from Ti<span
-class="cmti-10">k</span>Z. There
-are two reasons for this: First, the canvas transformation must be used with great care and often results in &#8220;bad&#8221;
-graphics with changing line width and text in wrong sizes. Second, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;looses track of where nodes and shapes are
-positioned when canvas transformations are used.
-<!--l. 246--><p class="indent"> For more details on the difference between coordinate transformations and canvas transformations see
-Section&nbsp;<a
-href="pgfmanualse18.html#x19-19100018.4">18.4<!--tex4ht:ref: section-design-transformations --></a>.
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse7.html" >next</a>] [<a
-href="pgfmanualse6.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse6.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse6.html"></a>
-</body></html>