[latexrefman-commits] [SCM] latexrefman updated: r631 - trunk

jimhefferon at gnu.org.ua jimhefferon at gnu.org.ua
Mon May 28 22:44:46 CEST 2018


Author: jimhefferon
Date: 2018-05-28 23:44:46 +0300 (Mon, 28 May 2018)
New Revision: 631

Modified:
   trunk/ChangeLog
   trunk/latex2e.html
   trunk/latex2e.info
   trunk/latex2e.pdf
   trunk/latex2e.texi
Log:
Add many examples to picture environment and its sub-items.  Adjust wording.

Modified: trunk/ChangeLog
===================================================================
--- trunk/ChangeLog	2018-05-25 12:57:27 UTC (rev 630)
+++ trunk/ChangeLog	2018-05-28 20:44:46 UTC (rev 631)
@@ -1,3 +1,9 @@
+2018-05-28  Jim Hefferon  <jhefferon at smcvt.edu>
+
+	* latex2e.texi (picture)  Add examples.  Adjust wording.
+	Add menu items, readjust menu order.  Add examples for many
+	menu subjects and adjust wording.
+
 2018-05-24  Jim Hefferon  <jhefferon at smcvt.edu>
 
 	* latex2e.texi (verbatim)  Expand on problems putting

Modified: trunk/latex2e.html
===================================================================
--- trunk/latex2e.html	2018-05-25 12:57:27 UTC (rev 630)
+++ trunk/latex2e.html	2018-05-28 20:44:46 UTC (rev 631)
@@ -225,20 +225,22 @@
     <li><a name="toc-minipage-1" href="#minipage">8.18 <code>minipage</code></a></li>
     <li><a name="toc-picture-1" href="#picture">8.19 <code>picture</code></a>
     <ul class="no-bullet">
-      <li><a name="toc-_005ccircle-1" href="#g_t_005ccircle">8.19.1 <code>\circle</code></a></li>
-      <li><a name="toc-_005cmakebox-1" href="#g_t_005cmakebox-_0028picture_0029">8.19.2 <code>\makebox</code></a></li>
-      <li><a name="toc-_005cframebox" href="#g_t_005cframebox-_0028picture_0029">8.19.3 <code>\framebox</code></a></li>
-      <li><a name="toc-_005cdashbox-1" href="#g_t_005cdashbox">8.19.4 <code>\dashbox</code></a></li>
-      <li><a name="toc-_005cframe-1" href="#g_t_005cframe">8.19.5 <code>\frame</code></a></li>
-      <li><a name="toc-_005cline-1" href="#g_t_005cline">8.19.6 <code>\line</code></a></li>
-      <li><a name="toc-_005clinethickness-1" href="#g_t_005clinethickness">8.19.7 <code>\linethickness</code></a></li>
+      <li><a name="toc-_005cput-1" href="#g_t_005cput">8.19.1 <code>\put</code></a></li>
+      <li><a name="toc-_005cmultiput-1" href="#g_t_005cmultiput">8.19.2 <code>\multiput</code></a></li>
+      <li><a name="toc-_005cqbezier-1" href="#g_t_005cqbezier">8.19.3 <code>\qbezier</code></a></li>
+      <li><a name="toc-_005cgraphpaper-1" href="#g_t_005cgraphpaper">8.19.4 <code>\graphpaper</code></a></li>
+      <li><a name="toc-_005cline-1" href="#g_t_005cline">8.19.5 <code>\line</code></a></li>
+      <li><a name="toc-_005clinethickness-1" href="#g_t_005clinethickness">8.19.6 <code>\linethickness</code></a></li>
+      <li><a name="toc-_005cthinlines-1" href="#g_t_005cthinlines">8.19.7 <code>\thinlines</code></a></li>
       <li><a name="toc-_005cthicklines-1" href="#g_t_005cthicklines">8.19.8 <code>\thicklines</code></a></li>
-      <li><a name="toc-_005cthinlines-1" href="#g_t_005cthinlines">8.19.9 <code>\thinlines</code></a></li>
-      <li><a name="toc-_005cmultiput-1" href="#g_t_005cmultiput">8.19.10 <code>\multiput</code></a></li>
-      <li><a name="toc-_005coval-1" href="#g_t_005coval">8.19.11 <code>\oval</code></a></li>
-      <li><a name="toc-_005cput-1" href="#g_t_005cput">8.19.12 <code>\put</code></a></li>
-      <li><a name="toc-_005cshortstack-1" href="#g_t_005cshortstack">8.19.13 <code>\shortstack</code></a></li>
-      <li><a name="toc-_005cvector-1" href="#g_t_005cvector">8.19.14 <code>\vector</code></a></li>
+      <li><a name="toc-_005ccircle-1" href="#g_t_005ccircle">8.19.9 <code>\circle</code></a></li>
+      <li><a name="toc-_005coval-1" href="#g_t_005coval">8.19.10 <code>\oval</code></a></li>
+      <li><a name="toc-_005cshortstack-1" href="#g_t_005cshortstack">8.19.11 <code>\shortstack</code></a></li>
+      <li><a name="toc-_005cvector-1" href="#g_t_005cvector">8.19.12 <code>\vector</code></a></li>
+      <li><a name="toc-_005cmakebox-_0028picture_0029-1" href="#g_t_005cmakebox-_0028picture_0029">8.19.13 <code>\makebox</code> (picture)</a></li>
+      <li><a name="toc-_005cframebox-_0028picture_0029-1" href="#g_t_005cframebox-_0028picture_0029">8.19.14 <code>\framebox</code> (picture)</a></li>
+      <li><a name="toc-_005cframe-1" href="#g_t_005cframe">8.19.15 <code>\frame</code></a></li>
+      <li><a name="toc-_005cdashbox-1" href="#g_t_005cdashbox">8.19.16 <code>\dashbox</code></a></li>
     </ul></li>
     <li><a name="toc-quotation-_0026-quote-1" href="#quotation-_0026-quote">8.20 <code>quotation</code> & <code>quote</code></a></li>
     <li><a name="toc-tabbing-1" href="#tabbing">8.21 <code>tabbing</code></a></li>
@@ -381,7 +383,7 @@
     <li><a name="toc-_005cmbox_007btext_007d" href="#g_t_005cmbox">20.1 <code>\mbox{<var>text}</var></code></a></li>
     <li><a name="toc-_005cfbox-and-_005cframebox-1" href="#g_t_005cfbox-and-_005cframebox">20.2 <code>\fbox</code> and <code>\framebox</code></a></li>
     <li><a name="toc-lrbox-1" href="#lrbox">20.3 <code>lrbox</code></a></li>
-    <li><a name="toc-_005cmakebox-2" href="#g_t_005cmakebox">20.4 <code>\makebox</code></a></li>
+    <li><a name="toc-_005cmakebox-1" href="#g_t_005cmakebox">20.4 <code>\makebox</code></a></li>
     <li><a name="toc-_005cparbox-1" href="#g_t_005cparbox">20.5 <code>\parbox</code></a></li>
     <li><a name="toc-_005craisebox-1" href="#g_t_005craisebox">20.6 <code>\raisebox</code></a></li>
     <li><a name="toc-_005csavebox-1" href="#g_t_005csavebox">20.7 <code>\savebox</code></a></li>
@@ -5743,7 +5745,7 @@
 <p>Synopses: 
 </p><div class="example">
 <pre class="example">\begin{picture}(<var>width</var>,<var>height</var>)
-… <var>picture commands</var> …
+   <var>picture commands</var> 
 \end{picture}
 </pre></div>
 
@@ -5751,15 +5753,19 @@
 </p>
 <div class="example">
 <pre class="example">\begin{picture}(<var>width</var>,<var>height</var>)(<var>xoffset</var>,<var>yoffset</var>)
-… <var>picture commands</var> …
+  <var>picture commands</var>
 \end{picture}
 </pre></div>
 
+<p>An environment to create simple pictures containing lines, arrows,
+boxes, circles, and text.  (While this environment is not obsolete, new
+documents typically use much more powerful graphics creation systems,
+such as <code>TikZ</code>, <code>PSTricks</code>, <code>MetaPost</code>, or
+<code>Asymptote</code>.  These are not covered in this document; see CTAN.)
+</p>
+<p>This shows the parallelogram law for adding vectors.
+</p>
 <a name="index-_005cunitlength"></a>
-<p>The <code>picture</code> environment allows you to create simple pictures
-containing lines, arrows, boxes, circles, and text.  This illustrates
-the parallelogram law for adding vectors.
-</p>
 <div class="example">
 <pre class="example">\setlength{\unitlength}{1cm}
 \begin{picture}(6,6)      % picture box will be 6cm wide by 6cm tall
@@ -5780,13 +5786,18 @@
   ...
 \begin{center}
 \setlength{\unitlength}{\textwidth} 
-\begin{picture}(1,1)        % picture put in box textwidth wide and tall
+\begin{picture}(1,1)      % leave space for picture, \textwidth wide and tall
   \put(0,0){\includegraphics[width=\textwidth]{desertedisland.jpg}}
   \put(0.25,0.35){\textcolor{red}{X Treasure here}}
 \end{picture}
 \end{center}
 </pre></div>
 
+<p>The red X will be precisely a quarter of the <code>\linewidth</code> from
+the left margin, and <code>0.35\linewidth</code> up from the bottom.  Another
+example of this usage is to put similar code in the page header to get
+repeat material on each of a document’s pages.
+</p>
 <p>The <code>picture</code> environment has one required argument, a pair of
 numbers (<var>width</var>,<var>height</var>).  Multiply these by the value
 <code>\unitlength</code> to get the size of the box that LaTeX places on
@@ -5817,7 +5828,7 @@
 add the appropriate optional argument.
 </p>
 <a name="index-position_002c-in-picture"></a>
-<p>The <var>picture commands</var> tell LaTeX where to put something by
+<p>Each <var>picture command</var> tells LaTeX where to put something by
 naming its position.  A <em>position</em> is a pair such as <code>(2.4,-5)</code>
 giving the x- and y-coordinates.  A <em>coordinate</em> is a not a length,
 it is a real number (it may have a decimal point or a minus sign).  It
@@ -5837,436 +5848,679 @@
 unlike in some compute graphics settings, larger y-coordinates are
 further up the page.
 </p>
-<p>The most often used way to put things in a picture is the <code>\put</code>
-command. The command
+<p>There are four ways to put things in a picture: <code>\put</code>,
+<code>\multiput</code>, <code>qbezier</code>, and <code>graphpaper</code>.  The most often
+used is <code>\put</code>. This
 </p>
 <div class="example">
-<pre class="example">\put(11.3,-.3){...}
+<pre class="example">\put(11.3,-0.3){...}
 </pre></div>
 
-<p>places the object in the picture with its reference point at
-coordinates <em>(11.3,-.3)</em>.  The reference points for various objects
-will be described below.
-<a name="index-lR-box"></a>
+<p>places the object with its reference point at
+coordinates <em>(11.3,-0.3)</em>.  The reference points for various
+objects will be described below.
+<a name="index-LR-box"></a>
 The <code>\put</code> command creates an <em>LR box</em>.  Anything that can go
 in an <code>\mbox</code> (see <a href="#g_t_005cmbox">\mbox</a>) can go in the text argument of the
-<code>\put</code> command.  When you do this, the reference point will be the
-lower left corner of the box.
+<code>\put</code> command.  The reference point will be the lower left corner
+of the box.  In this picture
 </p>
-<a name="index-package_002c-picture"></a>
-<a name="index-picture-package"></a>
+<div class="example">
+<pre class="example">\setlength{\unitlength}{1cm}
+...\begin{picture}(1,1)
+  \put(0,0){\line(1,0){1}}
+  \put(0,0){\line(1,1){1}}
+\end{picture}
+</pre></div>
 
-<p>The <code>picture</code> package redefines the <code>picture</code> environment so
-that everywhere a number is used in <var>picture commands</var> to specify
-a coordinate, one can use alternatively a length. Be aware however that
-this will prevent scaling those lengths by changing <code>\unitlength</code>.
+<p>the three dots are just slightly left of the point of the angle formed
+by the two lines.  (Also, <code>\line(1,1){1}</code> does not call for a
+line of length one; rather the line has a change in the x coordinate of
+1.)
 </p>
-<p>The <code>picture</code> commands are described in the following sections.
+<p>The <code>\multiput</code>, <code>qbezier</code>, and <code>graphpaper</code> commands are
+described below.
 </p>
+<p>This draws a rectangle with a wavy top, using <code>\qbezier</code> for
+that curve.
+</p>
+<div class="example">
+<pre class="example">\begin{picture}(3,1.5)
+  \put(0,0){\vector(1,0){8}}  % x axis
+  \put(0,0){\vector(0,1){4}}  % y axis
+  \put(2,0){\line(0,1){3}}       % left side rectangle
+  \put(4,0){\line(0,1){3.5}}     % right side
+  \qbezier(2,3)(2.5,2.9)(3,3.25)
+    \qbezier(3,3.25)(3.5,3.6)(4,3.5)
+  \thicklines                 % below here, lines are twice as thick
+  \put(2,3){\line(4,1){2}}
+  \put(4.5,2.5){\framebox{Trapezoidal Rule}}
+\end{picture}
+</pre></div>
+
+
 <table class="menu" border="0" cellspacing="0">
-<tr><td align="left" valign="top">• <a href="#g_t_005ccircle" accesskey="1">\circle</a>:</td><td>  </td><td align="left" valign="top">Draw a circle.
+<tr><td align="left" valign="top">• <a href="#g_t_005cput" accesskey="1">\put</a>:</td><td>  </td><td align="left" valign="top">Place an object at a specified place.
 </td></tr>
-<tr><td align="left" valign="top">• <a href="#g_t_005cmakebox-_0028picture_0029" accesskey="2">\makebox (picture)</a>:</td><td>  </td><td align="left" valign="top">Draw a box of the specified size.
+<tr><td align="left" valign="top">• <a href="#g_t_005cmultiput" accesskey="2">\multiput</a>:</td><td>  </td><td align="left" valign="top">Draw multiple instances of an object.
 </td></tr>
-<tr><td align="left" valign="top">• <a href="#g_t_005cframebox-_0028picture_0029" accesskey="3">\framebox (picture)</a>:</td><td>  </td><td align="left" valign="top">Draw a box with a frame around it.
+<tr><td align="left" valign="top">• <a href="#g_t_005cqbezier" accesskey="3">\qbezier</a>:</td><td>  </td><td align="left" valign="top">Draw a quadratic Bezier curve.
 </td></tr>
-<tr><td align="left" valign="top">• <a href="#g_t_005cdashbox" accesskey="4">\dashbox</a>:</td><td>  </td><td align="left" valign="top">Draw a dashed box.
+<tr><td align="left" valign="top">• <a href="#g_t_005cgraphpaper" accesskey="4">\graphpaper</a>:</td><td>  </td><td align="left" valign="top">Draw graph paper.
 </td></tr>
-<tr><td align="left" valign="top">• <a href="#g_t_005cframe" accesskey="5">\frame</a>:</td><td>  </td><td align="left" valign="top">Draw a frame around an object.
+<tr><td align="left" valign="top">• <a href="#g_t_005cline" accesskey="5">\line</a>:</td><td>  </td><td align="left" valign="top">Draw a straight line.
 </td></tr>
-<tr><td align="left" valign="top">• <a href="#g_t_005cline" accesskey="6">\line</a>:</td><td>  </td><td align="left" valign="top">Draw a straight line.
+<tr><td align="left" valign="top">• <a href="#g_t_005clinethickness" accesskey="6">\linethickness</a>:</td><td>  </td><td align="left" valign="top">Set thickness of horizontal and vertical lines.
 </td></tr>
-<tr><td align="left" valign="top">• <a href="#g_t_005clinethickness" accesskey="7">\linethickness</a>:</td><td>  </td><td align="left" valign="top">Set the line thickness.
+<tr><td align="left" valign="top">• <a href="#g_t_005cthinlines" accesskey="7">\thinlines</a>:</td><td>  </td><td align="left" valign="top">The default line thickness.
 </td></tr>
 <tr><td align="left" valign="top">• <a href="#g_t_005cthicklines" accesskey="8">\thicklines</a>:</td><td>  </td><td align="left" valign="top">A heavier line thickness.
 </td></tr>
-<tr><td align="left" valign="top">• <a href="#g_t_005cthinlines" accesskey="9">\thinlines</a>:</td><td>  </td><td align="left" valign="top">The default line thickness.
+<tr><td align="left" valign="top">• <a href="#g_t_005ccircle" accesskey="9">\circle</a>:</td><td>  </td><td align="left" valign="top">Draw a circle.
 </td></tr>
-<tr><td align="left" valign="top">• <a href="#g_t_005cmultiput">\multiput</a>:</td><td>  </td><td align="left" valign="top">Draw multiple instances of an object.
+<tr><td align="left" valign="top">• <a href="#g_t_005coval">\oval</a>:</td><td>  </td><td align="left" valign="top">Draw an oval.
 </td></tr>
-<tr><td align="left" valign="top">• <a href="#g_t_005coval">\oval</a>:</td><td>  </td><td align="left" valign="top">Draw an ellipse.
+<tr><td align="left" valign="top">• <a href="#g_t_005cshortstack">\shortstack</a>:</td><td>  </td><td align="left" valign="top">Make a stack of objects.
 </td></tr>
-<tr><td align="left" valign="top">• <a href="#g_t_005cput">\put</a>:</td><td>  </td><td align="left" valign="top">Place an object at a specified place.
+<tr><td align="left" valign="top">• <a href="#g_t_005cvector">\vector</a>:</td><td>  </td><td align="left" valign="top">Draw a line with an arrow.
 </td></tr>
-<tr><td align="left" valign="top">• <a href="#g_t_005cshortstack">\shortstack</a>:</td><td>  </td><td align="left" valign="top">Make a pile of objects.
+<tr><td align="left" valign="top">• <a href="#g_t_005cmakebox-_0028picture_0029">\makebox (picture)</a>:</td><td>  </td><td align="left" valign="top">Draw a box of the specified size.
 </td></tr>
-<tr><td align="left" valign="top">• <a href="#g_t_005cvector">\vector</a>:</td><td>  </td><td align="left" valign="top">Draw a line with an arrow.
+<tr><td align="left" valign="top">• <a href="#g_t_005cframebox-_0028picture_0029">\framebox (picture)</a>:</td><td>  </td><td align="left" valign="top">Draw a box with a frame around it.
 </td></tr>
+<tr><td align="left" valign="top">• <a href="#g_t_005cframe">\frame</a>:</td><td>  </td><td align="left" valign="top">Draw a frame around an object.
+</td></tr>
+<tr><td align="left" valign="top">• <a href="#g_t_005cdashbox">\dashbox</a>:</td><td>  </td><td align="left" valign="top">Draw a dashed box.
+</td></tr>
 </table>
 
 
 <hr>
-<a name="g_t_005ccircle"></a>
+<a name="g_t_005cput"></a>
 <div class="header">
 <p>
-Next: <a href="#g_t_005cmakebox-_0028picture_0029" accesskey="n" rel="next">\makebox (picture)</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+Next: <a href="#g_t_005cmultiput" accesskey="n" rel="next">\multiput</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
 </div>
-<a name="g_t_005ccircle-1"></a>
-<h4 class="subsection">8.19.1 <code>\circle</code></h4>
+<a name="g_t_005cput-1"></a>
+<h4 class="subsection">8.19.1 <code>\put</code></h4>
 
-<a name="index-_005ccircle"></a>
+<a name="index-_005cput"></a>
 
 <p>Synopsis:
 </p>
 <div class="example">
-<pre class="example">\circle{<var>diameter</var>}
-\circle*{<var>diameter</var>}
+<pre class="example">\put(<var>xcoord</var>,<var>ycoord</var>){<var>content</var>}
 </pre></div>
 
-<p>Produces a circle with a diameter as close to the specified one as
-possible.  The <code>*</code>-form of the command draws a filled-in circle.
+<p>Place <var>content</var> at the coordinate (<var>xcoord</var>,<var>ycoord</var>).  See
+the discussion of coordinates and <code>\unitlength</code> in <a href="#picture">picture</a>.
 </p>
-<p>Circles up to 40pt can be drawn.
+<p>This includes the text into the <code>picture</code>.
 </p>
+<div class="example">
+<pre class="example">\put(4.5,2.5){Apply the \textit{unpoke} move}
+</pre></div>
 
+<p>The reference point, the location (4.5,2.5), is the lower left of the
+text, at the bottom left of the ‘<samp>A</samp>’.
+</p>
+
 <hr>
-<a name="g_t_005cmakebox-_0028picture_0029"></a>
+<a name="g_t_005cmultiput"></a>
 <div class="header">
 <p>
-Next: <a href="#g_t_005cframebox-_0028picture_0029" accesskey="n" rel="next">\framebox (picture)</a>, Previous: <a href="#g_t_005ccircle" accesskey="p" rel="prev">\circle</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+Next: <a href="#g_t_005cqbezier" accesskey="n" rel="next">\qbezier</a>, Previous: <a href="#g_t_005cput" accesskey="p" rel="prev">\put</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
 </div>
-<a name="g_t_005cmakebox-1"></a>
-<h4 class="subsection">8.19.2 <code>\makebox</code></h4>
+<a name="g_t_005cmultiput-1"></a>
+<h4 class="subsection">8.19.2 <code>\multiput</code></h4>
 
-<a name="index-_005cmakebox-_0028for-picture_0029"></a>
+<a name="index-_005cmultiput"></a>
 
 <p>Synopsis:
 </p>
 <div class="example">
-<pre class="example">\makebox(<var>width</var>,<var>height</var>)[<var>position</var>]{<var>text</var>}
+<pre class="example">\multiput(<var>x</var>,<var>y</var>)(<var>delta_x</var>,<var>delta_y</var>){<var>n</var>}{<var>obj</var>}
 </pre></div>
 
-<p>The <code>\makebox</code> command for the picture environment is similar to
-the normal <code>\makebox</code> command except that you must specify a
-<var>width</var> and <var>height</var> in multiples of <code>\unitlength</code>.
+<p>Copy <var>obj</var> a total of <var>n</var> times, with an increment of
+<var>delta_x,delta_y</var>.  The <var>obj</var> first appears at position
+<em>(x,y)</em>, then at <em>(x+\delta_x,y+\delta_y)</em>, and so on.
 </p>
-<p>The optional argument, <code>[<var>position</var>]</code>, specifies the quadrant that
-your <var>text</var> appears in.  You may select up to two of the following:
+<p>This draws a simple grid with every fifth line bolded (see also
+<a href="#g_t_005cgraphpaper">\graphpaper</a>).
 </p>
-<dl compact="compact">
-<dt><code>t</code></dt>
-<dd><p>Moves the item to the top of the rectangle.
-</p>
-</dd>
-<dt><code>b</code></dt>
-<dd><p>Moves the item to the bottom.
-</p>
-</dd>
-<dt><code>l</code></dt>
-<dd><p>Moves the item to the left.
-</p>
-</dd>
-<dt><code>r</code></dt>
-<dd><p>Moves the item to the right.
-</p>
-</dd>
-</dl>
+<div class="example">
+<pre class="example">\begin{picture}(10,10)
+  \linethickness{0.05mm}
+  \multiput(0,0)(1,0){10}{\line(0,1){10}} 
+  \multiput(0,0)(0,1){10}{\line(1,0){10}}
+  \linethickness{0.5mm}
+  \multiput(0,0)(5,0){3}{\line(0,1){10}}
+  \multiput(0,0)(0,5){3}{\line(1,0){10}}
+\end{picture}
+</pre></div>
 
-<p>See <a href="#g_t_005cmakebox">\makebox</a>.
-</p>
 
 <hr>
-<a name="g_t_005cframebox-_0028picture_0029"></a>
+<a name="g_t_005cqbezier"></a>
 <div class="header">
 <p>
-Next: <a href="#g_t_005cdashbox" accesskey="n" rel="next">\dashbox</a>, Previous: <a href="#g_t_005cmakebox-_0028picture_0029" accesskey="p" rel="prev">\makebox (picture)</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+Next: <a href="#g_t_005cgraphpaper" accesskey="n" rel="next">\graphpaper</a>, Previous: <a href="#g_t_005cmultiput" accesskey="p" rel="prev">\multiput</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
 </div>
-<a name="g_t_005cframebox"></a>
-<h4 class="subsection">8.19.3 <code>\framebox</code></h4>
+<a name="g_t_005cqbezier-1"></a>
+<h4 class="subsection">8.19.3 <code>\qbezier</code></h4>
 
-<a name="index-_005cframebox"></a>
+<a name="index-_005cqbezier"></a>
 
 <p>Synopsis:
 </p>
 <div class="example">
-<pre class="example">\framebox(<var>width</var>,<var>height</var>)[<var>pos</var>]{...}
+<pre class="example">\qbezier(<var>x1</var>,<var>y1</var>)(<var>x2</var>,<var>y2</var>)(<var>x3</var>,<var>y3</var>)
+\qbezier[<var>num</var>](<var>x1</var>,<var>y1</var>)(<var>x2</var>,<var>y2</var>)(<var>x3</var>,<var>y3</var>)
 </pre></div>
 
-<p>The <code>\framebox</code> command is like <code>\makebox</code> (see previous
-section), except that it puts a frame around the outside of the box
-that it creates.
+<p>Draw a quadratic Bezier curve whose control points are given by the
+three required arguments <code>(<var>x1</var>,<var>y1</var>)</code>,
+<code>(<var>x2</var>,<var>y2</var>)</code>, and <code>(<var>x3</var>,<var>y3</var>)</code>.  That is,
+the curve runs from <var>(x1,y1)</var> to <var>(x3,y3)</var>, is quadratic, and is
+such that the tangent line at <var>(x1,y1)</var> passes through
+<var>(x2,y2)</var>, as does the tangent line at <var>(x3,y3)</var>.
 </p>
-<a name="index-_005cfboxrule"></a>
-<a name="index-_005cfboxsep"></a>
-<p>The <code>\framebox</code> command produces a rule of thickness
-<code>\fboxrule</code>, and leaves a space <code>\fboxsep</code> between the rule
-and the contents of the box.
+<p>This draws a curve from the coordinate (1,1) to (1,0).
 </p>
-
-<hr>
-<a name="g_t_005cdashbox"></a>
-<div class="header">
-<p>
-Next: <a href="#g_t_005cframe" accesskey="n" rel="next">\frame</a>, Previous: <a href="#g_t_005cframebox-_0028picture_0029" accesskey="p" rel="prev">\framebox (picture)</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
-</div>
-<a name="g_t_005cdashbox-1"></a>
-<h4 class="subsection">8.19.4 <code>\dashbox</code></h4>
-
-<a name="index-_005cdashbox"></a>
-
-<p>Draws a box with a dashed line.  Synopsis:
-</p>
 <div class="example">
-<pre class="example">\dashbox{<var>dlen</var>}(<var>rwidth</var>,<var>rheight</var>)[<var>pos</var>]{<var>text</var>}
+<pre class="example">\qbezier(1,1)(1.25,0.75)(1,0)  
 </pre></div>
 
-<p><code>\dashbox</code> creates a dashed rectangle around <var>text</var> in a
-<code>picture</code> environment.  Dashes are <var>dlen</var> units long, and the
-rectangle has overall width <var>rwidth</var> and height <var>rheight</var>.
-The <var>text</var> is positioned at optional <var>pos</var>.  </p>
-<p>A dashed box looks best when the <var>rwidth</var> and <var>rheight</var> are
-multiples of the <var>dlen</var>.
+<p>The curve’s tangent line at (1,1) contains (1.25,0.75), as does the
+curve’s tangent line at (1,0).
 </p>
+<p>The optional argument <var>num</var> gives the number of calculated
+intermediate points.  The default is to draw a smooth curve whose
+maximum number of points is <code>\qbeziermax</code> (change this value with
+<code>\renewcommand</code>).
+</p>
 
 <hr>
-<a name="g_t_005cframe"></a>
+<a name="g_t_005cgraphpaper"></a>
 <div class="header">
 <p>
-Next: <a href="#g_t_005cline" accesskey="n" rel="next">\line</a>, Previous: <a href="#g_t_005cdashbox" accesskey="p" rel="prev">\dashbox</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+Next: <a href="#g_t_005cline" accesskey="n" rel="next">\line</a>, Previous: <a href="#g_t_005cqbezier" accesskey="p" rel="prev">\qbezier</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
 </div>
-<a name="g_t_005cframe-1"></a>
-<h4 class="subsection">8.19.5 <code>\frame</code></h4>
+<a name="g_t_005cgraphpaper-1"></a>
+<h4 class="subsection">8.19.4 <code>\graphpaper</code></h4>
 
-<a name="index-_005cframe"></a>
-
+<a name="index-_005cgraphpaper"></a>
 <p>Synopsis:
 </p>
 <div class="example">
-<pre class="example">\frame{<var>text</var>}
+<pre class="example">\graphpaper(<var>x_init</var>,<var>y_init</var>)(<var>x_dimen</var>,<var>y_dimen</var>)
+\graphpaper[<var>spacing</var>](<var>x_init</var>,<var>y_init</var>)(<var>x_dimen</var>,<var>y_dimen</var>)
 </pre></div>
 
-<p>The <code>\frame</code> command puts a rectangular frame around <var>text</var>.
-The reference point is the bottom left corner of the frame.  No extra
-space is put between the frame and the object.
+<p>Draw a coordinate grid.  Requires the <code>graphpap</code> package.
+The grid’s origin is <code>(<var>x_init</var>,<var>y_init</var>)</code>.
+Grid lines come every <var>spacing</var> units (the default is 10).
+The grid extends <var>x_dimen</var> units to the right and <var>y_dimen</var> units up.
+All arguments must be positive integers.
 </p>
+<p>This make a grid with seven vertical lines and eleven horizontal lines.
+</p>
+<div class="example">
+<pre class="example">\usepackage{graphpap}    % in preamble
+  ...
+\begin{picture}(6,20)    % in document body
+  \graphpaper[2](0,0)(12,20)
+\end{picture}
+</pre></div>
 
+<p>The lines are numbered every ten units.
+</p>
+
 <hr>
 <a name="g_t_005cline"></a>
 <div class="header">
 <p>
-Next: <a href="#g_t_005clinethickness" accesskey="n" rel="next">\linethickness</a>, Previous: <a href="#g_t_005cframe" accesskey="p" rel="prev">\frame</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+Next: <a href="#g_t_005clinethickness" accesskey="n" rel="next">\linethickness</a>, Previous: <a href="#g_t_005cgraphpaper" accesskey="p" rel="prev">\graphpaper</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
 </div>
 <a name="g_t_005cline-1"></a>
-<h4 class="subsection">8.19.6 <code>\line</code></h4>
+<h4 class="subsection">8.19.5 <code>\line</code></h4>
 
 <a name="index-_005cline"></a>
 
 <p>Synopsis:
 </p>
 <div class="example">
-<pre class="example">\line(<var>xslope</var>,<var>yslope</var>){<var>length</var>}
+<pre class="example">\line(<var>x_run</var>,<var>y_rise</var>){<var>travel</var>}
 </pre></div>
 
-<p>The <code>\line</code> command draws a line with the given <var>length</var> and
-slope <var>xslope</var>/<var>yslope</var>.
+<p>Draw a line.  It slopes such that it vertically rises <var>y_rise</var> for
+every horizontal <var>x_run</var>, and such that the total horizontal change
+is <var>travel</var>.  In the special case of vertical lines, if
+(<var>x_run</var>,<var>y_rise</var>)=(0,1), then <var>travel</var> gives the change in
+<em>y</em>.
 </p>
+<p>This draws a line starting at coordinates (1,3).
+</p>
+<div class="example">
+<pre class="example">\put(1,3){\line(2,5){4}}
+</pre></div>
+
+<p>For every over 2, this line will go up 5.  Because <var>travel</var>
+specifies that this goes over 4, it must go up 10.  Thus its
+endpoint is <em>(1,3)+(4,10)=(5,13)</em>.  In particular, note that
+<em><var>travel</var>=4</em> is not the length of the line, it is the change in
+<em>x</em>.
+</p>
+<p>The arguments <var>x_run</var> and <var>y_rise</var> are integers that can be
+positive, negative, or zero. (If both are 0 then LaTeX treats the
+second as 1.)  With
+<code>\put(<var>x_init</var>,<var>y_init</var>){\line(<var>x_run</var>,<var>y_rise</var>){<var>travel</var>}}</code>,
+if <var>x_run</var> is negative then the line’s ending point has a first
+coordinate that is less than <var>x_init</var>.  If <var>y_rise</var> is negative
+then the line’s ending point has a second coordinate that is less than
+<var>y_init</var>.
+</p>
+<p>If <var>travel</var> is negative then you get <code>LaTeX Error: Bad \line or
+\vector argument.</code>
+</p>
 <a name="index-pict2e-package"></a>
 <a name="index-graphics-packages"></a>
-<p>Standard LaTeX can only draw lines with <em><var>slope</var> = x/y</em>,
-where <em>x</em> and <em>y</em> have integer values from -6
-through 6.  For lines of any slope, and plenty of other shapes,
-see <code>pict2e</code> and many other packages on CTAN.
+<a name="index-package_002c-pict2e"></a>
+<a name="index-pict2e-package-1"></a>
+
+<p>Standard LaTeX can only draw lines with a limited range of slopes
+because these lines are made by putting together line segments from
+pre-made fonts.  The two numbers <var>x_run</var> and <var>y_rise</var> must have
+integer values from -6 through 6.  Also, they must be
+relatively prime, so that <var>(x_run,y_rise)</var> can be (2,1) but not
+(4,2) (if you choose the latter then instead of lines you get sequences
+of arrowheads; the solution is to switch to the former).  To get lines
+of arbitrary slope, and plenty of other shapes, see <code>pict2e</code> and
+many other packages on CTAN.
 </p>
 
 <hr>
 <a name="g_t_005clinethickness"></a>
 <div class="header">
 <p>
-Next: <a href="#g_t_005cthicklines" accesskey="n" rel="next">\thicklines</a>, Previous: <a href="#g_t_005cline" accesskey="p" rel="prev">\line</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+Next: <a href="#g_t_005cthinlines" accesskey="n" rel="next">\thinlines</a>, Previous: <a href="#g_t_005cline" accesskey="p" rel="prev">\line</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
 </div>
 <a name="g_t_005clinethickness-1"></a>
-<h4 class="subsection">8.19.7 <code>\linethickness</code></h4>
+<h4 class="subsection">8.19.6 <code>\linethickness</code></h4>
 
 <a name="index-_005clinethickness"></a>
 
-<p>The <code>\linethickness{<var>dim</var>}</code> command declares the thickness
-of horizontal and vertical lines in a picture environment to be
-<var>dim</var>, which must be a positive length.
+<p>Synopsis:
 </p>
-<p><code>\linethickness</code> does not affect the thickness of slanted lines,
-circles, or the quarter circles drawn by <code>\oval</code>.
+<div class="example">
+<pre class="example">\linethickness{<var>dim</var>}
+</pre></div>
+
+<p>Declares the thickness of subsequent horizontal and vertical lines in a
+picture to be <var>dim</var>, which must be a positive length
+(see <a href="#Lengths">Lengths</a>).  It differs from <code>\thinlines</code> and
+<code>\thicklines</code> in that it does not affect the thickness of slanted
+lines, circles, or ovals.
 </p>
 
 <hr>
-<a name="g_t_005cthicklines"></a>
+<a name="g_t_005cthinlines"></a>
 <div class="header">
 <p>
-Next: <a href="#g_t_005cthinlines" accesskey="n" rel="next">\thinlines</a>, Previous: <a href="#g_t_005clinethickness" accesskey="p" rel="prev">\linethickness</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+Next: <a href="#g_t_005cthicklines" accesskey="n" rel="next">\thicklines</a>, Previous: <a href="#g_t_005clinethickness" accesskey="p" rel="prev">\linethickness</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
 </div>
-<a name="g_t_005cthicklines-1"></a>
-<h4 class="subsection">8.19.8 <code>\thicklines</code></h4>
+<a name="g_t_005cthinlines-1"></a>
+<h4 class="subsection">8.19.7 <code>\thinlines</code></h4>
 
-<a name="index-_005cthicklines"></a>
+<a name="index-_005cthinlines"></a>
 
-<p>The <code>\thicklines</code> command is an alternate line thickness for
-horizontal and vertical lines in a picture environment;
-cf. <a href="#g_t_005clinethickness">\linethickness</a> and <a href="#g_t_005cthinlines">\thinlines</a>.
+<p>Declaration to set the thickness of subsequent lines, circles, and ovals
+in a picture environment to be 0.4pt.  This is the default
+thickness, so this command is unnecessary unless the thickness has been
+changed with either <a href="#g_t_005clinethickness">\linethickness</a> or <a href="#g_t_005cthicklines">\thicklines</a>.
 </p>
 
 <hr>
-<a name="g_t_005cthinlines"></a>
+<a name="g_t_005cthicklines"></a>
 <div class="header">
 <p>
-Next: <a href="#g_t_005cmultiput" accesskey="n" rel="next">\multiput</a>, Previous: <a href="#g_t_005cthicklines" accesskey="p" rel="prev">\thicklines</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+Next: <a href="#g_t_005ccircle" accesskey="n" rel="next">\circle</a>, Previous: <a href="#g_t_005cthinlines" accesskey="p" rel="prev">\thinlines</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
 </div>
-<a name="g_t_005cthinlines-1"></a>
-<h4 class="subsection">8.19.9 <code>\thinlines</code></h4>
+<a name="g_t_005cthicklines-1"></a>
+<h4 class="subsection">8.19.8 <code>\thicklines</code></h4>
 
-<a name="index-_005cthinlines"></a>
+<a name="index-_005cthicklines"></a>
 
-<p>The <code>\thinlines</code> command is the default line thickness for
-horizontal and vertical lines in a picture environment;
-cf. <a href="#g_t_005clinethickness">\linethickness</a> and <a href="#g_t_005cthicklines">\thicklines</a>.
+<p>Declaration to set the thickness of subsequent lines, circles, and ovals
+in a picture environment to be 0.8pt.  See also
+<a href="#g_t_005clinethickness">\linethickness</a> and <a href="#g_t_005cthinlines">\thinlines</a>.  This command is illustrated
+in the Trapezoidal Rule example of <a href="#picture">picture</a>.
 </p>
 
 <hr>
-<a name="g_t_005cmultiput"></a>
+<a name="g_t_005ccircle"></a>
 <div class="header">
 <p>
-Next: <a href="#g_t_005coval" accesskey="n" rel="next">\oval</a>, Previous: <a href="#g_t_005cthinlines" accesskey="p" rel="prev">\thinlines</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+Next: <a href="#g_t_005coval" accesskey="n" rel="next">\oval</a>, Previous: <a href="#g_t_005cthicklines" accesskey="p" rel="prev">\thicklines</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
 </div>
-<a name="g_t_005cmultiput-1"></a>
-<h4 class="subsection">8.19.10 <code>\multiput</code></h4>
+<a name="g_t_005ccircle-1"></a>
+<h4 class="subsection">8.19.9 <code>\circle</code></h4>
 
-<a name="index-_005cmultiput"></a>
+<a name="index-_005ccircle"></a>
 
 <p>Synopsis:
 </p>
 <div class="example">
-<pre class="example">\multiput(<var>x</var>,<var>y</var>)(<var>delta_x</var>,<var>delta_y</var>){<var>n</var>}{<var>obj</var>}
+<pre class="example">\circle{<var>diameter</var>}
+\circle*{<var>diameter</var>}
 </pre></div>
 
-<p>The <code>\multiput</code> command copies the object <var>obj</var> in a regular
-pattern across a picture.  <var>obj</var> is first placed at position
-<em>(x,y)</em>, then at <em>(x+\delta x,y+\delta y)</em>, and so on,
-<var>n</var> times.
+<p>Produces a circle with a diameter as close as possible to the specified
+one.  The <code>*</code> form produces a filled-in circle.
 </p>
+<p>This draws a circle of radius 6, centered at <code>(5,7)</code>.
+</p>
+<div class="example">
+<pre class="example">\put(5,7){\circle{6}}
+</pre></div>
 
+<p>The available radiuses for <code>circle</code> are, in points, the even
+numbers from 2 to 20, inclusive.  For <code>circle*</code> they are all the
+integers from 1 to 15.
+</p>
+
 <hr>
 <a name="g_t_005coval"></a>
 <div class="header">
 <p>
-Next: <a href="#g_t_005cput" accesskey="n" rel="next">\put</a>, Previous: <a href="#g_t_005cmultiput" accesskey="p" rel="prev">\multiput</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+Next: <a href="#g_t_005cshortstack" accesskey="n" rel="next">\shortstack</a>, Previous: <a href="#g_t_005ccircle" accesskey="p" rel="prev">\circle</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
 </div>
 <a name="g_t_005coval-1"></a>
-<h4 class="subsection">8.19.11 <code>\oval</code></h4>
+<h4 class="subsection">8.19.10 <code>\oval</code></h4>
 
 <a name="index-_005coval"></a>
 
 <p>Synopsis:
 </p>
 <div class="example">
-<pre class="example">\oval(<var>width</var>,<var>height</var>)[<var>portion</var>]
+<pre class="example">\oval(<var>width</var>,<var>height</var>)
+\oval(<var>width</var>,<var>height</var>)[<var>portion</var>]
 </pre></div>
 
-<p>The <code>\oval</code> command produces a rectangle with rounded corners.  The
-optional argument <var>portion</var> allows you to produce only half of the
-oval via the following:
+<p>Produce a rectangle with rounded corners.  The optional argument
+<var>portion</var> allows you to produce only half or a quarter of the oval.
+For half an oval take <var>portion</var> to be one of these.
 </p>
 <dl compact="compact">
 <dt><code>t</code></dt>
-<dd><p>selects the top half;
+<dd><p>top half
 </p></dd>
 <dt><code>b</code></dt>
-<dd><p>selects the bottom half;
+<dd><p>bottom half
 </p></dd>
 <dt><code>r</code></dt>
-<dd><p>selects the right half;
+<dd><p>right half
 </p></dd>
 <dt><code>l</code></dt>
-<dd><p>selects the left half.
+<dd><p>left half
 </p></dd>
 </dl>
 
-<p>It is also possible to produce only one quarter of the oval by setting
-<var>portion</var> to <code>tr</code>, <code>br</code>, <code>bl</code>, or <code>tl</code>.
+<p>Produce only one quarter of the oval by setting <var>portion</var> to
+<code>tr</code>, <code>br</code>, <code>bl</code>, or <code>tl</code>.
 </p>
-<p>The “corners” of the oval are made with quarter circles with a
-maximum radius of 20pt, so large “ovals” will look more like
-boxes with rounded corners.
+<p>This draws the top half of an oval that is 3 wide and 7 tall.  
 </p>
-
-<hr>
-<a name="g_t_005cput"></a>
-<div class="header">
-<p>
-Next: <a href="#g_t_005cshortstack" accesskey="n" rel="next">\shortstack</a>, Previous: <a href="#g_t_005coval" accesskey="p" rel="prev">\oval</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
-</div>
-<a name="g_t_005cput-1"></a>
-<h4 class="subsection">8.19.12 <code>\put</code></h4>
-
-<a name="index-_005cput"></a>
-
-<p>Synopsis:
-</p>
 <div class="example">
-<pre class="example">\put(<var>xcoord</var>,<var>ycoord</var>){ ... }
+<pre class="example">\put(5,7){\oval(3,7)[t]}
 </pre></div>
 
-<p>The <code>\put</code> command places the material specified by the
-(mandatory) argument in braces at the given coordinate,
-(<var>xcoord</var>,<var>ycoord</var>).
+<p>The (5,7) is the center of the entire oval, not just the center of the
+top half.
 </p>
+<p>These shapes are not ellipses.  They are rectangles whose corners are
+made with quarter circles.  These circles have a maximum radius of
+20pt (see <a href="#g_t_005ccircle">\circle</a> for the sizes).  Thus large ovals are just
+boxes with a small amount of corner rounding.
+</p>
 
 <hr>
 <a name="g_t_005cshortstack"></a>
 <div class="header">
 <p>
-Next: <a href="#g_t_005cvector" accesskey="n" rel="next">\vector</a>, Previous: <a href="#g_t_005cput" accesskey="p" rel="prev">\put</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+Next: <a href="#g_t_005cvector" accesskey="n" rel="next">\vector</a>, Previous: <a href="#g_t_005coval" accesskey="p" rel="prev">\oval</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
 </div>
 <a name="g_t_005cshortstack-1"></a>
-<h4 class="subsection">8.19.13 <code>\shortstack</code></h4>
+<h4 class="subsection">8.19.11 <code>\shortstack</code></h4>
 
 <a name="index-_005cshortstack"></a>
 
 <p>Synopsis:
 </p>
 <div class="example">
-<pre class="example">\shortstack[<var>position</var>]{...\\...\\...}
+<pre class="example">\shortstack[<var>position</var>]{<var>line 1</var> \\ <var>line 2</var> \\ ... }
 </pre></div>
 
-<p>The <code>\shortstack</code> command produces a stack of objects.  The valid
-positions are:
+<p>Produce a vertical stack of objects.
 </p>
+<p>This labels the <em>y</em> axis.
+</p>
+<div class="example">
+<pre class="example">\put(0,0){\vector(1,0){4}}   % x axis
+\put(0,0){\vector(0,1){2}}   % y
+\put(-0.25,2){\makebox[0][r]{\shortstack[r]{$y$\\ axis}}}
+</pre></div>
+
+<p>For a short stack, the reference point is the lower left of the stack.
+In this example the <a href="#g_t_005cmakebox">\makebox</a> puts the stack flush right in a zero
+width box so in total the short stack sits slightly to the left of the
+<em>y</em> axis.
+</p>
+<p>The valid positions are:
+</p>
 <dl compact="compact">
 <dt><code>r</code></dt>
-<dd><p>Move the objects to the right of the stack.
+<dd><p>Make objects flush right
 </p></dd>
 <dt><code>l</code></dt>
-<dd><p>Move the objects to the left of the stack
+<dd><p>Make objects flush left
 </p></dd>
 <dt><code>c</code></dt>
-<dd><p>Move the objects to the centre of the stack (default)
+<dd><p>Center objects (default)
 </p></dd>
 </dl>
 
 <a name="index-_005c_005c-_0028for-_005cshortstack-objects_0029"></a>
-<p>Objects are separated with <code>\\</code>.
+<p>Separate objects into lines with <code>\\</code>.  These stacks are short in
+that, unlike in a <code>tabular</code> or <code>array</code> environment, here the
+rows are not spaced out to be of even heights.  Thus, in
+<code>\shortstack{X\\o\\o\\X}</code> the first and last rows are taller than
+the middle two.  You can adjust row heights either by putting in the
+usual interline spacing with <code>\shortstack{X\\ \strut o\\o\\X}</code>,
+or by hand, via an explicit zero-width box <code>\shortstack{X \\
+\rule{0pt}{12pt} o\\o\\X}</code> or by using <code>\\</code>’s optional
+argument <code>\shortstack{X\\[2pt] o\\o\\X}</code>.
 </p>
+<p>The <code>\shortstack</code> command is also available outside the
+<code>picture</code> environment.
+</p>
 
 <hr>
 <a name="g_t_005cvector"></a>
 <div class="header">
 <p>
-Previous: <a href="#g_t_005cshortstack" accesskey="p" rel="prev">\shortstack</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+Next: <a href="#g_t_005cmakebox-_0028picture_0029" accesskey="n" rel="next">\makebox (picture)</a>, Previous: <a href="#g_t_005cshortstack" accesskey="p" rel="prev">\shortstack</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
 </div>
 <a name="g_t_005cvector-1"></a>
-<h4 class="subsection">8.19.14 <code>\vector</code></h4>
+<h4 class="subsection">8.19.12 <code>\vector</code></h4>
 
 <a name="index-_005cvector"></a>
 
 <p>Synopsis:
 </p>
 <div class="example">
-<pre class="example">\vector(<var>xslope</var>,<var>yslope</var>){<var>length</var>}
+<pre class="example">\vector(<var>x_run</var>,<var>y_rise</var>){<var>travel</var>}
 </pre></div>
 
-<p>The <code>\vector</code> command draws a line with an arrow of the specified
-length and slope.  The <em><var>xslope</var></em> and <em><var>yslope</var></em>
-values must lie between -4 and +4, inclusive.
+<p>Draw a line ending in an arrow.  It slopes such that it vertically rises
+<var>y_rise</var> for every horizontal <var>x_run</var>, and such that the total
+horizontal change is <var>travel</var>.  In the special case of vertical
+vectors, if (<var>x_run</var>,<var>y_rise</var>)=(0,1), then <var>travel</var> gives
+the change in <em>y</em>.
 </p>
+<p>For an example see <a href="#picture">picture</a>.
+</p>
+<p>For elaboration on <var>x_run</var> and <var>y_rise</var> see <a href="#g_t_005cline">\line</a>.  As
+there, the values of <var>x_run</var> and <var>y_rise</var> are limited.  You must
+chooses integers between -4 and 4, inclusive.  Also, the two you
+choose must be relatively prime.  Thus, <code>\vector(2,1){4}</code> is
+acceptable but <code>\vector(4,2){4}</code> is not (if you use the latter
+then you get a sequence of arrowheads).
+</p>
 
 <hr>
+<a name="g_t_005cmakebox-_0028picture_0029"></a>
+<div class="header">
+<p>
+Next: <a href="#g_t_005cframebox-_0028picture_0029" accesskey="n" rel="next">\framebox (picture)</a>, Previous: <a href="#g_t_005cvector" accesskey="p" rel="prev">\vector</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+</div>
+<a name="g_t_005cmakebox-_0028picture_0029-1"></a>
+<h4 class="subsection">8.19.13 <code>\makebox</code> (picture)</h4>
+
+<a name="index-_005cmakebox-_0028for-picture_0029"></a>
+
+<p>Synopsis:
+</p>
+<div class="example">
+<pre class="example">\makebox(<var>width</var>,<var>height</var>){<var>text</var>}
+\makebox(<var>width</var>,<var>height</var>)[<var>position</var>]{<var>text</var>}
+</pre></div>
+
+<p>Similar to the normal <code>\makebox</code> command (see <a href="#g_t_005cmakebox">\makebox</a>) except
+that you must specify a <var>width</var> and <var>height</var>, which you give in
+multiples of <code>\unitlength</code>.  See <a href="#picture">picture</a> for the discussion of
+<code>\unitlength</code>.
+</p>
+<p>This makes a box of length 3 times <code>\unitlength</code> and height 4
+times <code>\unitlength</code>.
+</p>
+<div class="example">
+<pre class="example">\put(1,2){\makebox(3,4){...}}
+</pre></div>
+
+<p>Its contents will be right justified in that box.
+</p>
+<p>The optional <code><var>position</var></code> specifies the quadrant in which your
+<var>text</var> appears.  Use up to two of these:
+</p>
+<dl compact="compact">
+<dt><code>t</code></dt>
+<dd><p>Moves the item to the top of the rectangle.
+</p>
+</dd>
+<dt><code>b</code></dt>
+<dd><p>Moves the item to the bottom.
+</p>
+</dd>
+<dt><code>l</code></dt>
+<dd><p>Moves the item to the left.
+</p>
+</dd>
+<dt><code>r</code></dt>
+<dd><p>Moves the item to the right.
+</p>
+</dd>
+</dl>
+
+
+<hr>
+<a name="g_t_005cframebox-_0028picture_0029"></a>
+<div class="header">
+<p>
+Next: <a href="#g_t_005cframe" accesskey="n" rel="next">\frame</a>, Previous: <a href="#g_t_005cmakebox-_0028picture_0029" accesskey="p" rel="prev">\makebox (picture)</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+</div>
+<a name="g_t_005cframebox-_0028picture_0029-1"></a>
+<h4 class="subsection">8.19.14 <code>\framebox</code> (picture)</h4>
+
+<a name="index-_005cframebox"></a>
+
+<p>Synopsis:
+</p>
+<div class="example">
+<pre class="example">\framebox(<var>width</var>,<var>height</var>){...}
+\framebox(<var>width</var>,<var>height</var>)[<var>position</var>]{...}
+</pre></div>
+
+<p>Like <a href="#g_t_005cmakebox-_0028picture_0029">\makebox (picture)</a> except that it puts a frame
+around the outside of the box that it creates.
+The reference point is the bottom left corner of the frame.
+<a name="index-_005cfboxrule"></a>
+<a name="index-_005cfboxsep"></a>
+The rule has thickness <code>\fboxrule</code> and there is a blank space
+<code>\fboxsep</code> between the frame and the contents of the box.
+</p>
+<p>For this command, you must specify the <var>width</var> and <var>height</var>.  If
+you want to just put a frame around some contents whose dimenstion is
+determined in some other way then either use <code>\fbox</code> (see <a href="#g_t_005cfbox-and-_005cframebox">\fbox and \framebox</a>) or <code>\frame</code> (see <a href="#g_t_005cframe">\frame</a>).
+</p>
+<hr>
+<a name="g_t_005cframe"></a>
+<div class="header">
+<p>
+Next: <a href="#g_t_005cdashbox" accesskey="n" rel="next">\dashbox</a>, Previous: <a href="#g_t_005cframebox-_0028picture_0029" accesskey="p" rel="prev">\framebox (picture)</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+</div>
+<a name="g_t_005cframe-1"></a>
+<h4 class="subsection">8.19.15 <code>\frame</code></h4>
+
+<a name="index-_005cframe"></a>
+
+<p>Synopsis:
+</p>
+<div class="example">
+<pre class="example">\frame{<var>contents</var>}
+</pre></div>
+
+<p>Puts a rectangular frame around <var>contents</var>.  The reference point is
+the bottom left corner of the frame.  In contrast to <code>\fbox</code>
+(see <a href="#g_t_005cfbox-and-_005cframebox">\fbox and \framebox</a>), this command puts no extra space is put
+between the frame and the object.
+</p>
+
+<hr>
+<a name="g_t_005cdashbox"></a>
+<div class="header">
+<p>
+Previous: <a href="#g_t_005cframe" accesskey="p" rel="prev">\frame</a>, Up: <a href="#picture" accesskey="u" rel="up">picture</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
+</div>
+<a name="g_t_005cdashbox-1"></a>
+<h4 class="subsection">8.19.16 <code>\dashbox</code></h4>
+
+<a name="index-_005cdashbox"></a>
+
+<p>Synopsis:
+</p>
+<div class="example">
+<pre class="example">\dashbox{<var>dlen</var>}(<var>rwidth</var>,<var>rheight</var>){<var>text</var>}
+\dashbox{<var>dlen</var>}(<var>rwidth</var>,<var>rheight</var>)[<var>position</var>]{<var>text</var>}
+</pre></div>
+
+<p>Create a dashed rectangle around <var>text</var> in a <code>picture</code>
+environment.  Dashes are <var>dlen</var> units long and the rectangle has
+overall width <var>rwidth</var> and height <var>rheight</var>.  The <var>text</var> is
+positioned according to the optional <var>position</var>; see <a href="#g_t_005cmakebox-_0028picture_0029">\makebox (picture)</a> for the values that <var>position</var> can take.
+</p>
+<p>This shows that you can use non-integer <var>dlen</var>.
+</p>
+<div class="example">
+<pre class="example">\put(0,0){\dashbox{0.1}(5,0.5){My hovercraft is full of eels.}}
+</pre></div>
+
+<p>As in that example, a dashed box looks best when the <var>rwidth</var> and
+<var>rheight</var> are multiples of the <var>dlen</var>.
+</p>
+
+<hr>
 <a name="quotation-_0026-quote"></a>
 <div class="header">
 <p>
@@ -8117,7 +8371,8 @@
 <p>LaTeX’s default puts many restrictions on where you can use a
 <code>\footnote</code>; for instance, you cannot use it in an argument to a
 sectioning command such as <code>\chapter</code> (it can only be used in outer
-paragraph mode).  There are some workarounds; see following sections.
+paragraph mode; see <a href="#Modes">Modes</a>).  There are some workarounds; see
+following sections.
 </p>
 <a name="index-Footnotes_002c-in-a-minipage"></a>
 <a name="index-mpfootnote-counter"></a>
@@ -13262,7 +13517,7 @@
 <p>
 Next: <a href="#g_t_005cparbox" accesskey="n" rel="next">\parbox</a>, Previous: <a href="#lrbox" accesskey="p" rel="prev">lrbox</a>, Up: <a href="#Boxes" accesskey="u" rel="up">Boxes</a>   [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="#Concept-Index" title="Index" rel="index">Index</a>]</p>
 </div>
-<a name="g_t_005cmakebox-2"></a>
+<a name="g_t_005cmakebox-1"></a>
 <h3 class="section">20.4 <code>\makebox</code></h3>
 
 <a name="index-_005cmakebox"></a>
@@ -13926,7 +14181,7 @@
 commands of this chapter.  Two that use a programming language are
 Asymptote and MetaPost.  One that uses a graphical interface is Xfig.
 Full description of these systems is outside the scope of this document;
-see their documentation.
+see their documentation on CTAN.
 </p>
 <table class="menu" border="0" cellspacing="0">
 <tr><td align="left" valign="top">• <a href="#Graphics-package-options" accesskey="1">Graphics package options</a>:</td><td>  </td><td align="left" valign="top">Options when you load the package.
@@ -14521,7 +14776,7 @@
 </p>
 </dd>
 <dt><code>angle</code></dt>
-<dd><p>Rotate the picture.  The angle is taken in degrees and counterclockwise.
+<dd><p>Rotate the graphic.  The angle is taken in degrees and counterclockwise.
 The graphic is rotated about its <code>origin</code>; see that option.  For a
 complete description of how rotated material is typeset,
 see <a href="#g_t_005crotatebox">\rotatebox</a>.
@@ -17812,7 +18067,7 @@
 <tr><td></td><td valign="top"><a href="#index-package_002c-minted"><span class="roman">package</span>, <code>minted</code></a>:</td><td> </td><td valign="top"><a href="#tabbing">tabbing</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-package_002c-minted-1"><span class="roman">package</span>, <code>minted</code></a>:</td><td> </td><td valign="top"><a href="#verbatim">verbatim</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-package_002c-multind"><span class="roman">package</span>, <code>multind</code></a>:</td><td> </td><td valign="top"><a href="#Indexes">Indexes</a></td></tr>
-<tr><td></td><td valign="top"><a href="#index-package_002c-picture"><span class="roman">package</span>, <code>picture</code></a>:</td><td> </td><td valign="top"><a href="#picture">picture</a></td></tr>
+<tr><td></td><td valign="top"><a href="#index-package_002c-pict2e"><span class="roman">package</span>, <code>pict2e</code></a>:</td><td> </td><td valign="top"><a href="#g_t_005cline">\line</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-package_002c-setspace"><span class="roman">package</span>, <code>setspace</code></a>:</td><td> </td><td valign="top"><a href="#Low_002dlevel-font-commands">Low-level font commands</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-package_002c-showidx"><span class="roman">package</span>, <code>showidx</code></a>:</td><td> </td><td valign="top"><a href="#Indexes">Indexes</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-package_002c-textcase"><span class="roman">package</span>, <code>textcase</code></a>:</td><td> </td><td valign="top"><a href="#Upper-and-lower-case">Upper and lower case</a></td></tr>
@@ -17845,7 +18100,7 @@
 <tr><td></td><td valign="top"><a href="#index-period_002c-centered_002c-in-text">period, centered, in text</a>:</td><td> </td><td valign="top"><a href="#Text-symbols">Text symbols</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-pica">pica</a>:</td><td> </td><td valign="top"><a href="#Units-of-length">Units of length</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-pict2e-package"><code>pict2e</code> package</a>:</td><td> </td><td valign="top"><a href="#g_t_005cline">\line</a></td></tr>
-<tr><td></td><td valign="top"><a href="#index-picture-package"><code>picture</code> <span class="roman">package</span></a>:</td><td> </td><td valign="top"><a href="#picture">picture</a></td></tr>
+<tr><td></td><td valign="top"><a href="#index-pict2e-package-1"><code>pict2e</code> <span class="roman">package</span></a>:</td><td> </td><td valign="top"><a href="#g_t_005cline">\line</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-pictures_002c-creating">pictures, creating</a>:</td><td> </td><td valign="top"><a href="#picture">picture</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-pilcrow">pilcrow</a>:</td><td> </td><td valign="top"><a href="#Text-symbols">Text symbols</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-placement-of-floats">placement of floats</a>:</td><td> </td><td valign="top"><a href="#Floats">Floats</a></td></tr>
@@ -18511,6 +18766,7 @@
 <tr><td></td><td valign="top"><a href="#index-_005cglossary"><code>\glossary</code></a>:</td><td> </td><td valign="top"><a href="#Glossaries">Glossaries</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-_005cglossaryentry"><code>\glossaryentry</code></a>:</td><td> </td><td valign="top"><a href="#Glossaries">Glossaries</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-_005cgraphicspath"><code>\graphicspath</code></a>:</td><td> </td><td valign="top"><a href="#g_t_005cgraphicspath">\graphicspath</a></td></tr>
+<tr><td></td><td valign="top"><a href="#index-_005cgraphpaper"><code>\graphpaper</code></a>:</td><td> </td><td valign="top"><a href="#g_t_005cgraphpaper">\graphpaper</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-_005cgrave"><code>\grave</code></a>:</td><td> </td><td valign="top"><a href="#Math-accents">Math accents</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-_005cguillemotleft-_0028_00ab_0029"><code>\guillemotleft <span class="roman">(«)</span></code></a>:</td><td> </td><td valign="top"><a href="#Text-symbols">Text symbols</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-_005cguillemotright-_0028_00bb_0029"><code>\guillemotright <span class="roman">(»)</span></code></a>:</td><td> </td><td valign="top"><a href="#Text-symbols">Text symbols</a></td></tr>
@@ -18820,6 +19076,7 @@
 <tr><td></td><td valign="top"><a href="#index-_005cpsi"><code>\psi</code></a>:</td><td> </td><td valign="top"><a href="#Math-symbols">Math symbols</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-_005cpushtabs"><code>\pushtabs</code></a>:</td><td> </td><td valign="top"><a href="#tabbing">tabbing</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-_005cput"><code>\put</code></a>:</td><td> </td><td valign="top"><a href="#g_t_005cput">\put</a></td></tr>
+<tr><td></td><td valign="top"><a href="#index-_005cqbezier"><code>\qbezier</code></a>:</td><td> </td><td valign="top"><a href="#g_t_005cqbezier">\qbezier</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-_005cqquad"><code>\qquad</code></a>:</td><td> </td><td valign="top"><a href="#Spacing-in-math-mode">Spacing in math mode</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-_005cquad"><code>\quad</code></a>:</td><td> </td><td valign="top"><a href="#Spacing-in-math-mode">Spacing in math mode</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-_005cquotedblbase-_0028_201e_0029"><code>\quotedblbase <span class="roman">(„)</span></code></a>:</td><td> </td><td valign="top"><a href="#Text-symbols">Text symbols</a></td></tr>
@@ -19228,7 +19485,7 @@
 <tr><td></td><td valign="top"><a href="#index-letter-environment"><code><code>letter</code> <span class="roman">environment</span></code></a>:</td><td> </td><td valign="top"><a href="#letter">letter</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-letterpaper-option"><code>letterpaper <span class="roman">option</span></code></a>:</td><td> </td><td valign="top"><a href="#Document-class-options">Document class options</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-list-environment"><code><code>list</code> <span class="roman">environment</span></code></a>:</td><td> </td><td valign="top"><a href="#list">list</a></td></tr>
-<tr><td></td><td valign="top"><a href="#index-lR-box"><code>lR box</code></a>:</td><td> </td><td valign="top"><a href="#picture">picture</a></td></tr>
+<tr><td></td><td valign="top"><a href="#index-LR-box"><code>LR box</code></a>:</td><td> </td><td valign="top"><a href="#picture">picture</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-lrbox"><code>lrbox</code></a>:</td><td> </td><td valign="top"><a href="#lrbox">lrbox</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-lshort-document"><code>lshort <span class="roman">document</span></code></a>:</td><td> </td><td valign="top"><a href="#About-this-document">About this document</a></td></tr>
 <tr><td></td><td valign="top"><a href="#index-lualatex-command"><code>lualatex <span class="roman">command</span></code></a>:</td><td> </td><td valign="top"><a href="#TeX-engines">TeX engines</a></td></tr>

Modified: trunk/latex2e.info
===================================================================
--- trunk/latex2e.info	2018-05-25 12:57:27 UTC (rev 630)
+++ trunk/latex2e.info	2018-05-28 20:44:46 UTC (rev 631)
@@ -3733,19 +3733,23 @@
 
 Synopses:
      \begin{picture}(WIDTH,HEIGHT)
-     ... PICTURE COMMANDS ...
+        PICTURE COMMANDS
      \end{picture}
 
    or
 
      \begin{picture}(WIDTH,HEIGHT)(XOFFSET,YOFFSET)
-     ... PICTURE COMMANDS ...
+       PICTURE COMMANDS
      \end{picture}
 
-   The 'picture' environment allows you to create simple pictures
-containing lines, arrows, boxes, circles, and text.  This illustrates
-the parallelogram law for adding vectors.
+   An environment to create simple pictures containing lines, arrows,
+boxes, circles, and text.  (While this environment is not obsolete, new
+documents typically use much more powerful graphics creation systems,
+such as 'TikZ', 'PSTricks', 'MetaPost', or 'Asymptote'.  These are not
+covered in this document; see CTAN.)
 
+   This shows the parallelogram law for adding vectors.
+
      \setlength{\unitlength}{1cm}
      \begin{picture}(6,6)      % picture box will be 6cm wide by 6cm tall
        \put(0,0){\vector(2,1){4}}  % for every 2 over this vector goes 1 up
@@ -3763,12 +3767,17 @@
        ...
      \begin{center}
      \setlength{\unitlength}{\textwidth}
-     \begin{picture}(1,1)        % picture put in box textwidth wide and tall
+     \begin{picture}(1,1)      % leave space for picture, \textwidth wide and tall
        \put(0,0){\includegraphics[width=\textwidth]{desertedisland.jpg}}
        \put(0.25,0.35){\textcolor{red}{X Treasure here}}
      \end{picture}
      \end{center}
 
+   The red X will be precisely a quarter of the '\linewidth' from the
+left margin, and '0.35\linewidth' up from the bottom.  Another example
+of this usage is to put similar code in the page header to get repeat
+material on each of a document's pages.
+
    The 'picture' environment has one required argument, a pair of
 numbers (WIDTH,HEIGHT).  Multiply these by the value '\unitlength' to
 get the size of the box that LaTeX places on the output page.  This box
@@ -3793,7 +3802,7 @@
 picture by shifting everything, you can just add the appropriate
 optional argument.
 
-   The PICTURE COMMANDS tell LaTeX where to put something by naming its
+   Each PICTURE COMMAND tells LaTeX where to put something by naming its
 position.  A "position" is a pair such as '(2.4,-5)' giving the x- and
 y-coordinates.  A "coordinate" is a not a length, it is a real number
 (it may have a decimal point or a minus sign).  It specifies a length in
@@ -3813,282 +3822,476 @@
 some compute graphics settings, larger y-coordinates are further up the
 page.
 
-   The most often used way to put things in a picture is the '\put'
-command.  The command
+   There are four ways to put things in a picture: '\put', '\multiput',
+'qbezier', and 'graphpaper'.  The most often used is '\put'.  This
 
-     \put(11.3,-.3){...}
+     \put(11.3,-0.3){...}
 
-places the object in the picture with its reference point at coordinates
-(11.3,-.3).  The reference points for various objects will be described
-below.  The '\put' command creates an "LR box".  Anything that can go in
-an '\mbox' (*note \mbox::) can go in the text argument of the '\put'
-command.  When you do this, the reference point will be the lower left
-corner of the box.
+places the object with its reference point at coordinates (11.3,-0.3).
+The reference points for various objects will be described below.  The
+'\put' command creates an "LR box".  Anything that can go in an '\mbox'
+(*note \mbox::) can go in the text argument of the '\put' command.  The
+reference point will be the lower left corner of the box.  In this
+picture
 
-   The 'picture' package redefines the 'picture' environment so that
-everywhere a number is used in PICTURE COMMANDS to specify a coordinate,
-one can use alternatively a length.  Be aware however that this will
-prevent scaling those lengths by changing '\unitlength'.
+     \setlength{\unitlength}{1cm}
+     ...\begin{picture}(1,1)
+       \put(0,0){\line(1,0){1}}
+       \put(0,0){\line(1,1){1}}
+     \end{picture}
 
-   The 'picture' commands are described in the following sections.
+   the three dots are just slightly left of the point of the angle
+formed by the two lines.  (Also, '\line(1,1){1}' does not call for a
+line of length one; rather the line has a change in the x coordinate of
+1.)
 
+   The '\multiput', 'qbezier', and 'graphpaper' commands are described
+below.
+
+   This draws a rectangle with a wavy top, using '\qbezier' for that
+curve.
+
+     \begin{picture}(3,1.5)
+       \put(0,0){\vector(1,0){8}}  % x axis
+       \put(0,0){\vector(0,1){4}}  % y axis
+       \put(2,0){\line(0,1){3}}       % left side rectangle
+       \put(4,0){\line(0,1){3.5}}     % right side
+       \qbezier(2,3)(2.5,2.9)(3,3.25)
+         \qbezier(3,3.25)(3.5,3.6)(4,3.5)
+       \thicklines                 % below here, lines are twice as thick
+       \put(2,3){\line(4,1){2}}
+       \put(4.5,2.5){\framebox{Trapezoidal Rule}}
+     \end{picture}
+
 * Menu:
 
+* \put::                Place an object at a specified place.
+* \multiput::           Draw multiple instances of an object.
+* \qbezier::            Draw a quadratic Bezier curve.
+* \graphpaper::         Draw graph paper.
+* \line::               Draw a straight line.
+* \linethickness::      Set thickness of horizontal and vertical lines.
+* \thinlines::          The default line thickness.
+* \thicklines::         A heavier line thickness.
 * \circle::             Draw a circle.
+* \oval::               Draw an oval.
+* \shortstack::         Make a stack of objects.
+* \vector::             Draw a line with an arrow.
 * \makebox (picture)::  Draw a box of the specified size.
 * \framebox (picture):: Draw a box with a frame around it.
+* \frame::              Draw a frame around an object.
 * \dashbox::            Draw a dashed box.
-* \frame::              Draw a frame around an object.
-* \line::               Draw a straight line.
-* \linethickness::      Set the line thickness.
-* \thicklines::         A heavier line thickness.
-* \thinlines::          The default line thickness.
-* \multiput::           Draw multiple instances of an object.
-* \oval::               Draw an ellipse.
-* \put::                Place an object at a specified place.
-* \shortstack::         Make a pile of objects.
-* \vector::             Draw a line with an arrow.
 
 
-File: latex2e.info,  Node: \circle,  Next: \makebox (picture),  Up: picture
+File: latex2e.info,  Node: \put,  Next: \multiput,  Up: picture
 
-8.19.1 '\circle'
-----------------
+8.19.1 '\put'
+-------------
 
 Synopsis:
 
-     \circle{DIAMETER}
-     \circle*{DIAMETER}
+     \put(XCOORD,YCOORD){CONTENT}
 
-   Produces a circle with a diameter as close to the specified one as
-possible.  The '*'-form of the command draws a filled-in circle.
+   Place CONTENT at the coordinate (XCOORD,YCOORD).  See the discussion
+of coordinates and '\unitlength' in *note picture::.
 
-   Circles up to 40pt can be drawn.
+   This includes the text into the 'picture'.
 
+     \put(4.5,2.5){Apply the \textit{unpoke} move}
+
+   The reference point, the location (4.5,2.5), is the lower left of the
+text, at the bottom left of the 'A'.
+
 
-File: latex2e.info,  Node: \makebox (picture),  Next: \framebox (picture),  Prev: \circle,  Up: picture
+File: latex2e.info,  Node: \multiput,  Next: \qbezier,  Prev: \put,  Up: picture
 
-8.19.2 '\makebox'
------------------
+8.19.2 '\multiput'
+------------------
 
 Synopsis:
 
-     \makebox(WIDTH,HEIGHT)[POSITION]{TEXT}
+     \multiput(X,Y)(DELTA_X,DELTA_Y){N}{OBJ}
 
-   The '\makebox' command for the picture environment is similar to the
-normal '\makebox' command except that you must specify a WIDTH and
-HEIGHT in multiples of '\unitlength'.
+   Copy OBJ a total of N times, with an increment of DELTA_X,DELTA_Y.
+The OBJ first appears at position (x,y), then at
+(x+\delta_x,y+\delta_y), and so on.
 
-   The optional argument, '[POSITION]', specifies the quadrant that your
-TEXT appears in.  You may select up to two of the following:
+   This draws a simple grid with every fifth line bolded (see also *note
+\graphpaper::).
 
-'t'
-     Moves the item to the top of the rectangle.
+     \begin{picture}(10,10)
+       \linethickness{0.05mm}
+       \multiput(0,0)(1,0){10}{\line(0,1){10}}
+       \multiput(0,0)(0,1){10}{\line(1,0){10}}
+       \linethickness{0.5mm}
+       \multiput(0,0)(5,0){3}{\line(0,1){10}}
+       \multiput(0,0)(0,5){3}{\line(1,0){10}}
+     \end{picture}
 
-'b'
-     Moves the item to the bottom.
+
+File: latex2e.info,  Node: \qbezier,  Next: \graphpaper,  Prev: \multiput,  Up: picture
 
-'l'
-     Moves the item to the left.
+8.19.3 '\qbezier'
+-----------------
 
-'r'
-     Moves the item to the right.
+Synopsis:
 
-   *Note \makebox::.
+     \qbezier(X1,Y1)(X2,Y2)(X3,Y3)
+     \qbezier[NUM](X1,Y1)(X2,Y2)(X3,Y3)
 
-
-File: latex2e.info,  Node: \framebox (picture),  Next: \dashbox,  Prev: \makebox (picture),  Up: picture
+   Draw a quadratic Bezier curve whose control points are given by the
+three required arguments '(X1,Y1)', '(X2,Y2)', and '(X3,Y3)'.  That is,
+the curve runs from (X1,Y1) to (X3,Y3), is quadratic, and is such that
+the tangent line at (X1,Y1) passes through (X2,Y2), as does the tangent
+line at (X3,Y3).
 
-8.19.3 '\framebox'
-------------------
+   This draws a curve from the coordinate (1,1) to (1,0).
 
-Synopsis:
+     \qbezier(1,1)(1.25,0.75)(1,0)
 
-     \framebox(WIDTH,HEIGHT)[POS]{...}
+   The curve's tangent line at (1,1) contains (1.25,0.75), as does the
+curve's tangent line at (1,0).
 
-   The '\framebox' command is like '\makebox' (see previous section),
-except that it puts a frame around the outside of the box that it
-creates.
+   The optional argument NUM gives the number of calculated intermediate
+points.  The default is to draw a smooth curve whose maximum number of
+points is '\qbeziermax' (change this value with '\renewcommand').
 
-   The '\framebox' command produces a rule of thickness '\fboxrule', and
-leaves a space '\fboxsep' between the rule and the contents of the box.
-
 
-File: latex2e.info,  Node: \dashbox,  Next: \frame,  Prev: \framebox (picture),  Up: picture
+File: latex2e.info,  Node: \graphpaper,  Next: \line,  Prev: \qbezier,  Up: picture
 
-8.19.4 '\dashbox'
------------------
+8.19.4 '\graphpaper'
+--------------------
 
-Draws a box with a dashed line.  Synopsis:
+Synopsis:
 
-     \dashbox{DLEN}(RWIDTH,RHEIGHT)[POS]{TEXT}
+     \graphpaper(X_INIT,Y_INIT)(X_DIMEN,Y_DIMEN)
+     \graphpaper[SPACING](X_INIT,Y_INIT)(X_DIMEN,Y_DIMEN)
 
-   '\dashbox' creates a dashed rectangle around TEXT in a 'picture'
-environment.  Dashes are DLEN units long, and the rectangle has overall
-width RWIDTH and height RHEIGHT.  The TEXT is positioned at optional
-POS.
+   Draw a coordinate grid.  Requires the 'graphpap' package.  The grid's
+origin is '(X_INIT,Y_INIT)'.  Grid lines come every SPACING units (the
+default is 10).  The grid extends X_DIMEN units to the right and Y_DIMEN
+units up.  All arguments must be positive integers.
 
-   A dashed box looks best when the RWIDTH and RHEIGHT are multiples of
-the DLEN.
+   This make a grid with seven vertical lines and eleven horizontal
+lines.
 
+     \usepackage{graphpap}    % in preamble
+       ...
+     \begin{picture}(6,20)    % in document body
+       \graphpaper[2](0,0)(12,20)
+     \end{picture}
+
+   The lines are numbered every ten units.
+
 
-File: latex2e.info,  Node: \frame,  Next: \line,  Prev: \dashbox,  Up: picture
+File: latex2e.info,  Node: \line,  Next: \linethickness,  Prev: \graphpaper,  Up: picture
 
-8.19.5 '\frame'
----------------
+8.19.5 '\line'
+--------------
 
 Synopsis:
 
-     \frame{TEXT}
+     \line(X_RUN,Y_RISE){TRAVEL}
 
-   The '\frame' command puts a rectangular frame around TEXT.  The
-reference point is the bottom left corner of the frame.  No extra space
-is put between the frame and the object.
+   Draw a line.  It slopes such that it vertically rises Y_RISE for
+every horizontal X_RUN, and such that the total horizontal change is
+TRAVEL.  In the special case of vertical lines, if (X_RUN,Y_RISE)=(0,1),
+then TRAVEL gives the change in y.
 
-
-File: latex2e.info,  Node: \line,  Next: \linethickness,  Prev: \frame,  Up: picture
+   This draws a line starting at coordinates (1,3).
 
-8.19.6 '\line'
---------------
+     \put(1,3){\line(2,5){4}}
 
-Synopsis:
+   For every over 2, this line will go up 5.  Because TRAVEL specifies
+that this goes over 4, it must go up 10.  Thus its endpoint is
+(1,3)+(4,10)=(5,13).  In particular, note that TRAVEL=4 is not the
+length of the line, it is the change in x.
 
-     \line(XSLOPE,YSLOPE){LENGTH}
+   The arguments X_RUN and Y_RISE are integers that can be positive,
+negative, or zero.  (If both are 0 then LaTeX treats the second as 1.)
+With '\put(X_INIT,Y_INIT){\line(X_RUN,Y_RISE){TRAVEL}}', if X_RUN is
+negative then the line's ending point has a first coordinate that is
+less than X_INIT.  If Y_RISE is negative then the line's ending point
+has a second coordinate that is less than Y_INIT.
 
-   The '\line' command draws a line with the given LENGTH and slope
-XSLOPE/YSLOPE.
+   If TRAVEL is negative then you get 'LaTeX Error: Bad \line or \vector
+argument.'
 
-   Standard LaTeX can only draw lines with SLOPE = x/y, where x and y
-have integer values from -6 through 6.  For lines of any slope, and
-plenty of other shapes, see 'pict2e' and many other packages on CTAN.
+   Standard LaTeX can only draw lines with a limited range of slopes
+because these lines are made by putting together line segments from
+pre-made fonts.  The two numbers X_RUN and Y_RISE must have integer
+values from -6 through 6.  Also, they must be relatively prime, so that
+(X_RUN,Y_RISE) can be (2,1) but not (4,2) (if you choose the latter then
+instead of lines you get sequences of arrowheads; the solution is to
+switch to the former).  To get lines of arbitrary slope, and plenty of
+other shapes, see 'pict2e' and many other packages on CTAN.
 
 
-File: latex2e.info,  Node: \linethickness,  Next: \thicklines,  Prev: \line,  Up: picture
+File: latex2e.info,  Node: \linethickness,  Next: \thinlines,  Prev: \line,  Up: picture
 
-8.19.7 '\linethickness'
+8.19.6 '\linethickness'
 -----------------------
 
-The '\linethickness{DIM}' command declares the thickness of horizontal
-and vertical lines in a picture environment to be DIM, which must be a
-positive length.
+Synopsis:
 
-   '\linethickness' does not affect the thickness of slanted lines,
-circles, or the quarter circles drawn by '\oval'.
+     \linethickness{DIM}
 
+   Declares the thickness of subsequent horizontal and vertical lines in
+a picture to be DIM, which must be a positive length (*note Lengths::).
+It differs from '\thinlines' and '\thicklines' in that it does not
+affect the thickness of slanted lines, circles, or ovals.
+
 
-File: latex2e.info,  Node: \thicklines,  Next: \thinlines,  Prev: \linethickness,  Up: picture
+File: latex2e.info,  Node: \thinlines,  Next: \thicklines,  Prev: \linethickness,  Up: picture
 
-8.19.8 '\thicklines'
---------------------
+8.19.7 '\thinlines'
+-------------------
 
-The '\thicklines' command is an alternate line thickness for horizontal
-and vertical lines in a picture environment; cf. *note \linethickness::
-and *note \thinlines::.
+Declaration to set the thickness of subsequent lines, circles, and ovals
+in a picture environment to be 0.4pt.  This is the default thickness, so
+this command is unnecessary unless the thickness has been changed with
+either *note \linethickness:: or *note \thicklines::.
 
 
-File: latex2e.info,  Node: \thinlines,  Next: \multiput,  Prev: \thicklines,  Up: picture
+File: latex2e.info,  Node: \thicklines,  Next: \circle,  Prev: \thinlines,  Up: picture
 
-8.19.9 '\thinlines'
--------------------
+8.19.8 '\thicklines'
+--------------------
 
-The '\thinlines' command is the default line thickness for horizontal
-and vertical lines in a picture environment; cf. *note \linethickness::
-and *note \thicklines::.
+Declaration to set the thickness of subsequent lines, circles, and ovals
+in a picture environment to be 0.8pt.  See also *note \linethickness::
+and *note \thinlines::.  This command is illustrated in the Trapezoidal
+Rule example of *note picture::.
 
 
-File: latex2e.info,  Node: \multiput,  Next: \oval,  Prev: \thinlines,  Up: picture
+File: latex2e.info,  Node: \circle,  Next: \oval,  Prev: \thicklines,  Up: picture
 
-8.19.10 '\multiput'
--------------------
+8.19.9 '\circle'
+----------------
 
 Synopsis:
 
-     \multiput(X,Y)(DELTA_X,DELTA_Y){N}{OBJ}
+     \circle{DIAMETER}
+     \circle*{DIAMETER}
 
-   The '\multiput' command copies the object OBJ in a regular pattern
-across a picture.  OBJ is first placed at position (x,y), then at
-(x+\delta x,y+\delta y), and so on, N times.
+   Produces a circle with a diameter as close as possible to the
+specified one.  The '*' form produces a filled-in circle.
 
+   This draws a circle of radius 6, centered at '(5,7)'.
+
+     \put(5,7){\circle{6}}
+
+   The available radiuses for 'circle' are, in points, the even numbers
+from 2 to 20, inclusive.  For 'circle*' they are all the integers from 1
+to 15.
+
 
-File: latex2e.info,  Node: \oval,  Next: \put,  Prev: \multiput,  Up: picture
+File: latex2e.info,  Node: \oval,  Next: \shortstack,  Prev: \circle,  Up: picture
 
-8.19.11 '\oval'
+8.19.10 '\oval'
 ---------------
 
 Synopsis:
 
+     \oval(WIDTH,HEIGHT)
      \oval(WIDTH,HEIGHT)[PORTION]
 
-   The '\oval' command produces a rectangle with rounded corners.  The
-optional argument PORTION allows you to produce only half of the oval
-via the following:
+   Produce a rectangle with rounded corners.  The optional argument
+PORTION allows you to produce only half or a quarter of the oval.  For
+half an oval take PORTION to be one of these.
 
 't'
-     selects the top half;
+     top half
 'b'
-     selects the bottom half;
+     bottom half
 'r'
-     selects the right half;
+     right half
 'l'
-     selects the left half.
+     left half
 
-   It is also possible to produce only one quarter of the oval by
-setting PORTION to 'tr', 'br', 'bl', or 'tl'.
+   Produce only one quarter of the oval by setting PORTION to 'tr',
+'br', 'bl', or 'tl'.
 
-   The "corners" of the oval are made with quarter circles with a
-maximum radius of 20pt, so large "ovals" will look more like boxes with
-rounded corners.
+   This draws the top half of an oval that is 3 wide and 7 tall.
 
+     \put(5,7){\oval(3,7)[t]}
+
+   The (5,7) is the center of the entire oval, not just the center of
+the top half.
+
+   These shapes are not ellipses.  They are rectangles whose corners are
+made with quarter circles.  These circles have a maximum radius of 20pt
+(*note \circle:: for the sizes).  Thus large ovals are just boxes with a
+small amount of corner rounding.
+
 
-File: latex2e.info,  Node: \put,  Next: \shortstack,  Prev: \oval,  Up: picture
+File: latex2e.info,  Node: \shortstack,  Next: \vector,  Prev: \oval,  Up: picture
 
-8.19.12 '\put'
---------------
+8.19.11 '\shortstack'
+---------------------
 
 Synopsis:
 
-     \put(XCOORD,YCOORD){ ... }
+     \shortstack[POSITION]{LINE 1 \\ LINE 2 \\ ... }
 
-   The '\put' command places the material specified by the (mandatory)
-argument in braces at the given coordinate, (XCOORD,YCOORD).
+   Produce a vertical stack of objects.
 
-
-File: latex2e.info,  Node: \shortstack,  Next: \vector,  Prev: \put,  Up: picture
+   This labels the y axis.
 
-8.19.13 '\shortstack'
----------------------
+     \put(0,0){\vector(1,0){4}}   % x axis
+     \put(0,0){\vector(0,1){2}}   % y
+     \put(-0.25,2){\makebox[0][r]{\shortstack[r]{$y$\\ axis}}}
 
-Synopsis:
+For a short stack, the reference point is the lower left of the stack.
+In this example the *note \makebox:: puts the stack flush right in a
+zero width box so in total the short stack sits slightly to the left of
+the y axis.
 
-     \shortstack[POSITION]{...\\...\\...}
+   The valid positions are:
 
-   The '\shortstack' command produces a stack of objects.  The valid
-positions are:
-
 'r'
-     Move the objects to the right of the stack.
+     Make objects flush right
 'l'
-     Move the objects to the left of the stack
+     Make objects flush left
 'c'
-     Move the objects to the centre of the stack (default)
+     Center objects (default)
 
-   Objects are separated with '\\'.
+   Separate objects into lines with '\\'.  These stacks are short in
+that, unlike in a 'tabular' or 'array' environment, here the rows are
+not spaced out to be of even heights.  Thus, in
+'\shortstack{X\\o\\o\\X}' the first and last rows are taller than the
+middle two.  You can adjust row heights either by putting in the usual
+interline spacing with '\shortstack{X\\ \strut o\\o\\X}', or by hand,
+via an explicit zero-width box '\shortstack{X \\ \rule{0pt}{12pt}
+o\\o\\X}' or by using '\\''s optional argument '\shortstack{X\\[2pt]
+o\\o\\X}'.
 
+   The '\shortstack' command is also available outside the 'picture'
+environment.
+
 
-File: latex2e.info,  Node: \vector,  Prev: \shortstack,  Up: picture
+File: latex2e.info,  Node: \vector,  Next: \makebox (picture),  Prev: \shortstack,  Up: picture
 
-8.19.14 '\vector'
+8.19.12 '\vector'
 -----------------
 
 Synopsis:
 
-     \vector(XSLOPE,YSLOPE){LENGTH}
+     \vector(X_RUN,Y_RISE){TRAVEL}
 
-   The '\vector' command draws a line with an arrow of the specified
-length and slope.  The XSLOPE and YSLOPE values must lie between -4 and
-+4, inclusive.
+   Draw a line ending in an arrow.  It slopes such that it vertically
+rises Y_RISE for every horizontal X_RUN, and such that the total
+horizontal change is TRAVEL.  In the special case of vertical vectors,
+if (X_RUN,Y_RISE)=(0,1), then TRAVEL gives the change in y.
 
+   For an example see *note picture::.
+
+   For elaboration on X_RUN and Y_RISE see *note \line::.  As there, the
+values of X_RUN and Y_RISE are limited.  You must chooses integers
+between -4 and 4, inclusive.  Also, the two you choose must be
+relatively prime.  Thus, '\vector(2,1){4}' is acceptable but
+'\vector(4,2){4}' is not (if you use the latter then you get a sequence
+of arrowheads).
+
 
+File: latex2e.info,  Node: \makebox (picture),  Next: \framebox (picture),  Prev: \vector,  Up: picture
+
+8.19.13 '\makebox' (picture)
+----------------------------
+
+Synopsis:
+
+     \makebox(WIDTH,HEIGHT){TEXT}
+     \makebox(WIDTH,HEIGHT)[POSITION]{TEXT}
+
+   Similar to the normal '\makebox' command (*note \makebox::) except
+that you must specify a WIDTH and HEIGHT, which you give in multiples of
+'\unitlength'.  *Note picture:: for the discussion of '\unitlength'.
+
+   This makes a box of length 3 times '\unitlength' and height 4 times
+'\unitlength'.
+
+     \put(1,2){\makebox(3,4){...}}
+
+   Its contents will be right justified in that box.
+
+   The optional 'POSITION' specifies the quadrant in which your TEXT
+appears.  Use up to two of these:
+
+'t'
+     Moves the item to the top of the rectangle.
+
+'b'
+     Moves the item to the bottom.
+
+'l'
+     Moves the item to the left.
+
+'r'
+     Moves the item to the right.
+
+
+File: latex2e.info,  Node: \framebox (picture),  Next: \frame,  Prev: \makebox (picture),  Up: picture
+
+8.19.14 '\framebox' (picture)
+-----------------------------
+
+Synopsis:
+
+     \framebox(WIDTH,HEIGHT){...}
+     \framebox(WIDTH,HEIGHT)[POSITION]{...}
+
+   Like *note \makebox (picture):: except that it puts a frame around
+the outside of the box that it creates.  The reference point is the
+bottom left corner of the frame.  The rule has thickness '\fboxrule' and
+there is a blank space '\fboxsep' between the frame and the contents of
+the box.
+
+   For this command, you must specify the WIDTH and HEIGHT.  If you want
+to just put a frame around some contents whose dimenstion is determined
+in some other way then either use '\fbox' (*note \fbox and \framebox::)
+or '\frame' (*note \frame::).
+
+
+File: latex2e.info,  Node: \frame,  Next: \dashbox,  Prev: \framebox (picture),  Up: picture
+
+8.19.15 '\frame'
+----------------
+
+Synopsis:
+
+     \frame{CONTENTS}
+
+   Puts a rectangular frame around CONTENTS.  The reference point is the
+bottom left corner of the frame.  In contrast to '\fbox' (*note \fbox
+and \framebox::), this command puts no extra space is put between the
+frame and the object.
+
+
+File: latex2e.info,  Node: \dashbox,  Prev: \frame,  Up: picture
+
+8.19.16 '\dashbox'
+------------------
+
+Synopsis:
+
+     \dashbox{DLEN}(RWIDTH,RHEIGHT){TEXT}
+     \dashbox{DLEN}(RWIDTH,RHEIGHT)[POSITION]{TEXT}
+
+   Create a dashed rectangle around TEXT in a 'picture' environment.
+Dashes are DLEN units long and the rectangle has overall width RWIDTH
+and height RHEIGHT.  The TEXT is positioned according to the optional
+POSITION; see *note \makebox (picture):: for the values that POSITION
+can take.
+
+   This shows that you can use non-integer DLEN.
+
+     \put(0,0){\dashbox{0.1}(5,0.5){My hovercraft is full of eels.}}
+
+   As in that example, a dashed box looks best when the RWIDTH and
+RHEIGHT are multiples of the DLEN.
+
+
 File: latex2e.info,  Node: quotation & quote,  Next: tabbing,  Prev: picture,  Up: Environments
 
 8.20 'quotation' & 'quote'
@@ -5352,7 +5555,8 @@
    LaTeX's default puts many restrictions on where you can use a
 '\footnote'; for instance, you cannot use it in an argument to a
 sectioning command such as '\chapter' (it can only be used in outer
-paragraph mode).  There are some workarounds; see following sections.
+paragraph mode; *note Modes::).  There are some workarounds; see
+following sections.
 
    In a 'minipage' environment the '\footnote' command uses the
 'mpfootnote' counter instead of the 'footnote' counter, so they are
@@ -9065,7 +9269,7 @@
 commands of this chapter.  Two that use a programming language are
 Asymptote and MetaPost.  One that uses a graphical interface is Xfig.
 Full description of these systems is outside the scope of this document;
-see their documentation.
+see their documentation on CTAN.
 
 * Menu:
 
@@ -9528,7 +9732,7 @@
      it.
 
 'angle'
-     Rotate the picture.  The angle is taken in degrees and
+     Rotate the graphic.  The angle is taken in degrees and
      counterclockwise.  The graphic is rotated about its 'origin'; see
      that option.  For a complete description of how rotated material is
      typeset, *note \rotatebox::.
@@ -11539,7 +11743,7 @@
 * footnote parameters:                   Footnote parameters. (line   6)
 * footnotes in figures:                  minipage.            (line 112)
 * footnotes, creating:                   Footnotes.           (line   6)
-* Footnotes, in a minipage:              \footnote.           (line  35)
+* Footnotes, in a minipage:              \footnote.           (line  36)
 * Footnotes, in a table:                 Footnotes in a table.
                                                               (line   6)
 * footnotes, in section headings:        Footnotes in section headings.
@@ -11574,7 +11778,7 @@
                                                               (line   6)
 * graphics package options:              Graphics package options.
                                                               (line   6)
-* graphics packages:                     \line.               (line  13)
+* graphics packages:                     \line.               (line  35)
 * graphics, resizing:                    \scalebox.           (line   6)
 * graphics, resizing <1>:                \resizebox.          (line   6)
 * graphics, scaling:                     \scalebox.           (line   6)
@@ -11736,7 +11940,7 @@
 * modes:                                 Modes.               (line   6)
 * monospace font:                        Font styles.         (line  92)
 * moving arguments:                      \protect.            (line  19)
-* mpfootnote counter:                    \footnote.           (line  35)
+* mpfootnote counter:                    \footnote.           (line  36)
 * mu, math unit:                         Units of length.     (line  49)
 * multicolumn text:                      \twocolumn.          (line   6)
 * multilingual support:                  Accents.             (line   6)
@@ -11834,7 +12038,7 @@
 * package, minted:                       tabbing.             (line 145)
 * package, minted <1>:                   verbatim.            (line  31)
 * package, multind:                      Indexes.             (line  39)
-* package, picture:                      picture.             (line 100)
+* package, pict2e:                       \line.               (line  35)
 * package, setspace:                     Low-level font commands.
                                                               (line 118)
 * package, showidx:                      Indexes.             (line  35)
@@ -11875,8 +12079,8 @@
 * pdfTeX engine:                         TeX engines.         (line  12)
 * period, centered, in text:             Text symbols.        (line 138)
 * pica:                                  Units of length.     (line  14)
-* pict2e package:                        \line.               (line  13)
-* picture package:                       picture.             (line 100)
+* pict2e package:                        \line.               (line  35)
+* pict2e package <1>:                    \line.               (line  35)
 * pictures, creating:                    picture.             (line   6)
 * pilcrow:                               Text symbols.        (line  44)
 * placement of floats:                   Floats.              (line  31)
@@ -11889,7 +12093,7 @@
                                                               (line  36)
 * portrait orientation:                  Document class options.
                                                               (line  60)
-* position, in picture:                  picture.             (line  68)
+* position, in picture:                  picture.             (line  77)
 * positional parameter:                  \newcommand & \renewcommand.
                                                               (line  41)
 * postscript, in letters:                \ps.                 (line   6)
@@ -12427,9 +12631,9 @@
 * \exp:                                  Math functions.      (line  48)
 * \extracolsep:                          tabular.             (line 115)
 * \fbox:                                 \fbox and \framebox. (line   6)
-* \fboxrule:                             \framebox (picture). (line  14)
+* \fboxrule:                             \framebox (picture). (line  13)
 * \fboxrule <1>:                         \fbox and \framebox. (line  18)
-* \fboxsep:                              \framebox (picture). (line  14)
+* \fboxsep:                              \framebox (picture). (line  13)
 * \fboxsep <1>:                          \fbox and \framebox. (line  18)
 * \fill:                                 \hfill.              (line   9)
 * \flat:                                 Math symbols.        (line 216)
@@ -12480,6 +12684,7 @@
 * \glossary:                             Glossaries.          (line   8)
 * \glossaryentry:                        Glossaries.          (line  11)
 * \graphicspath:                         \graphicspath.       (line   6)
+* \graphpaper:                           \graphpaper.         (line   6)
 * \grave:                                Math accents.        (line  28)
 * \guillemotleft (<<):                   Text symbols.        (line  26)
 * \guillemotright (>>):                  Text symbols.        (line  27)
@@ -12855,6 +13060,7 @@
 * \psi:                                  Math symbols.        (line 553)
 * \pushtabs:                             tabbing.             (line 116)
 * \put:                                  \put.                (line   6)
+* \qbezier:                              \qbezier.            (line   6)
 * \qquad:                                Spacing in math mode.
                                                               (line  38)
 * \quad:                                 Spacing in math mode.
@@ -13102,7 +13308,7 @@
 * \underbar:                             Accents.             (line  89)
 * \underbrace{MATH}:                     Math miscellany.     (line  75)
 * \underline{TEXT}:                      Math miscellany.     (line  79)
-* \unitlength:                           picture.             (line  17)
+* \unitlength:                           picture.             (line  25)
 * \unlhd:                                Math symbols.        (line 756)
 * \unrhd:                                Math symbols.        (line 763)
 * \Uparrow:                              Math symbols.        (line 770)
@@ -13153,7 +13359,7 @@
 * \\ (for center):                       center.              (line  22)
 * \\ (for eqnarray):                     eqnarray.            (line  29)
 * \\ (for flushright):                   flushright.          (line  12)
-* \\ (for \shortstack objects):          \shortstack.         (line  20)
+* \\ (for \shortstack objects):          \shortstack.         (line  32)
 * \\ (tabbing):                          tabbing.             (line  66)
 * \\ for flushleft:                      flushleft.           (line  14)
 * \\ for letters:                        Letters.             (line  50)
@@ -13281,7 +13487,7 @@
 * letterpaper option:                    Document class options.
                                                               (line  19)
 * list environment:                      list.                (line   6)
-* lR box:                                picture.             (line  95)
+* LR box:                                picture.             (line 103)
 * lrbox:                                 lrbox.               (line   6)
 * lshort document:                       About this document. (line  41)
 * lualatex command:                      TeX engines.         (line  29)
@@ -13411,196 +13617,198 @@
 Node: math141603
 Node: minipage141909
 Node: picture146770
-Node: \circle151936
-Node: \makebox (picture)152282
-Node: \framebox (picture)152988
-Node: \dashbox153478
-Node: \frame154001
-Node: \line154327
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-Node: \multiput155818
-Node: \oval156185
-Node: \put156906
-Node: \shortstack157197
-Node: \vector157671
-Node: quotation & quote157985
-Node: tabbing158884
-Node: table164889
-Node: tabular166913
-Node: \multicolumn174163
-Node: \vline178048
-Node: \cline179393
-Node: \hline180077
-Node: thebibliography180759
-Node: \bibitem182259
-Node: \cite183042
-Node: \nocite183577
-Node: Using BibTeX183843
-Node: theorem185352
-Node: titlepage186274
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-Node: \footnote201568
-Node: \footnotemark203364
-Node: \footnotetext204608
-Node: Footnotes in a table205098
-Node: Footnotes in section headings206955
-Node: Footnotes of footnotes207811
-Node: Multiple reference to footnotes208578
-Node: Footnote parameters209436
-Node: Definitions210186
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-Node: Indexes379024
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-Node: \telephone389570
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-Node: \typeout390785
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-Node: Document templates392360
-Node: beamer template392767
-Node: book template393418
-Node: tugboat template393786
-Node: Concept Index396150
-Node: Command Index460437
+Node: \put153197
+Node: \multiput153675
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+Node: \framebox (picture)163822
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+Node: thebibliography188521
+Node: \bibitem190021
+Node: \cite190804
+Node: \nocite191339
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+Node: theorem193114
+Node: titlepage194036
+Node: verbatim195309
+Node: \verb196820
+Node: verse198290
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+Node: \\200115
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+Node: Document templates400145
+Node: beamer template400552
+Node: book template401203
+Node: tugboat template401571
+Node: Concept Index403935
+Node: Command Index468222
 
 End Tag Table

Modified: trunk/latex2e.pdf
===================================================================
(Binary files differ)

Modified: trunk/latex2e.texi
===================================================================
--- trunk/latex2e.texi	2018-05-25 12:57:27 UTC (rev 630)
+++ trunk/latex2e.texi	2018-05-28 20:44:46 UTC (rev 631)
@@ -27,6 +27,7 @@
 @c xx JH expand BiBTeX
 @c xx JH expand theorem, AMS math
 @c xx JH add something on code listings
+ at c xx JH \strut
 @c
 @c xx The typeset source2e has an index with all kernel
 @c xx commands, though some are internal and shouldn't be included.
@@ -4705,7 +4706,7 @@
 Synopses: 
 @example
 \begin@{picture@}(@var{width}, at var{height})
- at dots{} @var{picture commands} @dots{}
+   @var{picture commands} 
 \end@{picture@}
 @end example
 
@@ -4713,15 +4714,19 @@
 
 @example
 \begin@{picture@}(@var{width}, at var{height})(@var{xoffset}, at var{yoffset})
- at dots{} @var{picture commands} @dots{}
+  @var{picture commands}
 \end@{picture@}
 @end example
 
+An environment to create simple pictures containing lines, arrows,
+boxes, circles, and text.  (While this environment is not obsolete, new
+documents typically use much more powerful graphics creation systems,
+such as @code{TikZ}, @code{PSTricks}, @code{MetaPost}, or
+ at code{Asymptote}.  These are not covered in this document; see CTAN.)
+
+This shows the parallelogram law for adding vectors.
+
 @findex \unitlength
-The @code{picture} environment allows you to create simple pictures
-containing lines, arrows, boxes, circles, and text.  This illustrates
-the parallelogram law for adding vectors.
-
 @example
 \setlength@{\unitlength@}@{1cm@}
 \begin@{picture@}(6,6)      % picture box will be 6cm wide by 6cm tall
@@ -4742,13 +4747,18 @@
   ...
 \begin@{center@}
 \setlength@{\unitlength@}@{\textwidth@} 
-\begin@{picture@}(1,1)        % picture put in box textwidth wide and tall
+\begin@{picture@}(1,1)      % leave space for picture, \textwidth wide and tall
   \put(0,0)@{\includegraphics[width=\textwidth]@{desertedisland.jpg@}@}
   \put(0.25,0.35)@{\textcolor@{red@}@{X Treasure here@}@}
 \end@{picture@}
 \end@{center@}
 @end example
 
+The red at tie{}X will be precisely a quarter of the @code{\linewidth} from
+the left margin, and @code{0.35\linewidth} up from the bottom.  Another
+example of this usage is to put similar code in the page header to get
+repeat material on each of a document's pages.
+
 The @code{picture} environment has one required argument, a pair of
 numbers (@var{width}, at var{height}).  Multiply these by the value
 @code{\unitlength} to get the size of the box that @LaTeX{} places on
@@ -4779,7 +4789,7 @@
 add the appropriate optional argument.
 
 @cindex position, in picture
-The @var{picture commands} tell @LaTeX{} where to put something by
+Each @var{picture command} tells @LaTeX{} where to put something by
 naming its position.  A @dfn{position} is a pair such as @code{(2.4,-5)}
 giving the x- and y-coordinates.  A @dfn{coordinate} is a not a length,
 it is a real number (it may have a decimal point or a minus sign).  It
@@ -4799,159 +4809,198 @@
 unlike in some compute graphics settings, larger y-coordinates are
 further up the page.
 
-The most often used way to put things in a picture is the @code{\put}
-command. The command
+There are four ways to put things in a picture: @code{\put},
+ at code{\multiput}, @code{qbezier}, and @code{graphpaper}.  The most often
+used is @code{\put}. This
 
 @example
-\put(11.3,-.3)@{...@}
+\put(11.3,-0.3)@{...@}
 @end example
- at c xx JH wrong:  multiput, qbezier
 
- at noindent places the object in the picture with its reference point at
-coordinates @math{(11.3,-.3)}.  The reference points for various objects
-will be described below.
- at findex lR box
+ at noindent places the object with its reference point at
+coordinates @math{(11.3,-0.3)}.  The reference points for various
+objects will be described below.
+ at findex LR box
 The @code{\put} command creates an @dfn{LR box}.  Anything that can go
 in an @code{\mbox} (@pxref{\mbox}) can go in the text argument of the
- at code{\put} command.  When you do this, the reference point will be the
-lower left corner of the box.
+ at code{\put} command.  The reference point will be the lower left corner
+of the box.  In this picture
 
- at PkgIndex{picture}
-The @code{picture} package redefines the @code{picture} environment so
-that everywhere a number is used in @var{picture commands} to specify
-a coordinate, one can use alternatively a length. Be aware however that
-this will prevent scaling those lengths by changing @code{\unitlength}.
+ at example
+\setlength@{\unitlength@}@{1cm@}
+...\begin@{picture@}(1,1)
+  \put(0,0)@{\line(1,0)@{1@}@}
+  \put(0,0)@{\line(1,1)@{1@}@}
+\end@{picture@}
+ at end example
 
-The @code{picture} commands are described in the following sections.
+the three dots are just slightly left of the point of the angle formed
+by the two lines.  (Also, @code{\line(1,1)@{1@}} does not call for a
+line of length one; rather the line has a change in the x coordinate of
+1.)
 
+The @code{\multiput}, @code{qbezier}, and @code{graphpaper} commands are
+described below.
+
+This draws a rectangle with a wavy top, using @code{\qbezier} for
+that curve.
+
+ at example
+\begin@{picture@}(3,1.5)
+  \put(0,0)@{\vector(1,0)@{8@}@}  % x axis
+  \put(0,0)@{\vector(0,1)@{4@}@}  % y axis
+  \put(2,0)@{\line(0,1)@{3@}@}       % left side rectangle
+  \put(4,0)@{\line(0,1)@{3.5@}@}     % right side
+  \qbezier(2,3)(2.5,2.9)(3,3.25)
+    \qbezier(3,3.25)(3.5,3.6)(4,3.5)
+  \thicklines                 % below here, lines are twice as thick
+  \put(2,3)@{\line(4,1)@{2@}@}
+  \put(4.5,2.5)@{\framebox@{Trapezoidal Rule@}@}
+\end@{picture@}
+ at end example
+
+ at c @PkgIndex{picture}
+ at c (The @code{picture} package redefines the @code{picture} environment so
+ at c that everywhere a number is used in @var{picture commands} to specify
+ at c a coordinate, one can use alternatively a length. Be aware however that
+ at c this will prevent scaling those lengths by changing @code{\unitlength}.)
+
 @menu
+* \put::                Place an object at a specified place.
+* \multiput::           Draw multiple instances of an object.
+* \qbezier::            Draw a quadratic Bezier curve.
+* \graphpaper::         Draw graph paper.
+* \line::               Draw a straight line.
+* \linethickness::      Set thickness of horizontal and vertical lines.
+* \thinlines::          The default line thickness.
+* \thicklines::         A heavier line thickness.
 * \circle::             Draw a circle.
+* \oval::               Draw an oval.
+* \shortstack::         Make a stack of objects.
+* \vector::             Draw a line with an arrow.
 * \makebox (picture)::  Draw a box of the specified size.
 * \framebox (picture):: Draw a box with a frame around it.
+* \frame::              Draw a frame around an object.
 * \dashbox::            Draw a dashed box.
-* \frame::              Draw a frame around an object.
-* \line::               Draw a straight line.
-* \linethickness::      Set the line thickness.
-* \thicklines::         A heavier line thickness.
-* \thinlines::          The default line thickness.
-* \multiput::           Draw multiple instances of an object.
-* \oval::               Draw an ellipse.
-* \put::                Place an object at a specified place.
-* \shortstack::         Make a pile of objects.
-* \vector::             Draw a line with an arrow.
 @end menu
 
 
- at node \circle
- at subsection @code{\circle}
+ at node \put
+ at subsection @code{\put}
 
- at findex \circle
+ at findex \put
 
 Synopsis:
 
 @example
-\circle@{@var{diameter}@}
-\circle*@{@var{diameter}@}
+\put(@var{xcoord}, at var{ycoord})@{@var{content}@}
 @end example
 
-Produces a circle with a diameter as close to the specified one as
-possible.  The @code{*}-form of the command draws a filled-in circle.
+Place @var{content} at the coordinate (@var{xcoord}, at var{ycoord}).  See
+the discussion of coordinates and @code{\unitlength} in @ref{picture}.
 
-Circles up to 40 at dmn{pt} can be drawn.
+This includes the text into the @code{picture}.
 
+ at example
+\put(4.5,2.5)@{Apply the \textit@{unpoke@} move@}
+ at end example
 
- at node \makebox (picture)
- at subsection @code{\makebox}
+The reference point, the location (4.5,2.5), is the lower left of the
+text, at the bottom left of the @samp{A}.
 
- at findex \makebox @r{(for @code{picture})}
 
+ at node \multiput
+ at subsection @code{\multiput}
+
+ at findex \multiput
+
 Synopsis:
 
 @example
-\makebox(@var{width}, at var{height})[@var{position}]@{@var{text}@}
+\multiput(@var{x}, at var{y})(@var{delta_x}, at var{delta_y})@{@var{n}@}@{@var{obj}@}
 @end example
 
-The @code{\makebox} command for the picture environment is similar to
-the normal @code{\makebox} command except that you must specify a
- at var{width} and @var{height} in multiples of @code{\unitlength}.
+Copy @var{obj} a total of @var{n} times, with an increment of
+ at var{delta_x,delta_y}.  The @var{obj} first appears at position
+ at math{(x,y)}, then at @math{(x+\delta_x,y+\delta_y)}, and so on.
 
-The optional argument, @code{[@var{position}]}, specifies the quadrant that
-your @var{text} appears in.  You may select up to two of the following:
+This draws a simple grid with every fifth line bolded (see also
+ at ref{\graphpaper}).
 
- at table @code
- at item t
-Moves the item to the top of the rectangle.
+ at example
+\begin@{picture@}(10,10)
+  \linethickness@{0.05mm@}
+  \multiput(0,0)(1,0)@{10@}@{\line(0,1)@{10@}@} 
+  \multiput(0,0)(0,1)@{10@}@{\line(1,0)@{10@}@}
+  \linethickness@{0.5mm@}
+  \multiput(0,0)(5,0)@{3@}@{\line(0,1)@{10@}@}
+  \multiput(0,0)(0,5)@{3@}@{\line(1,0)@{10@}@}
+\end@{picture@}
+ at end example
 
- at item b
-Moves the item to the bottom.
 
- at item l
-Moves the item to the left.
+ at node \qbezier
+ at subsection @code{\qbezier}
 
- at item r
-Moves the item to the right.
+ at findex \qbezier
 
- at end table
+Synopsis:
 
- at xref{\makebox}.
+ at example
+\qbezier(@var{x1}, at var{y1})(@var{x2}, at var{y2})(@var{x3}, at var{y3})
+\qbezier[@var{num}](@var{x1}, at var{y1})(@var{x2}, at var{y2})(@var{x3}, at var{y3})
+ at end example
 
+Draw a quadratic Bezier curve whose control points are given by the
+three required arguments @code{(@var{x1}, at var{y1})},
+ at code{(@var{x2}, at var{y2})}, and @code{(@var{x3}, at var{y3})}.  That is,
+the curve runs from @var{(x1,y1)} to @var{(x3,y3)}, is quadratic, and is
+such that the tangent line at @var{(x1,y1)} passes through
+ at var{(x2,y2)}, as does the tangent line at @var{(x3,y3)}.
 
- at node \framebox (picture)
- at subsection @code{\framebox}
+This draws a curve from the coordinate (1,1) to (1,0).
 
- at findex \framebox
-
-Synopsis:
-
 @example
-\framebox(@var{width}, at var{height})[@var{pos}]@{...@}
+\qbezier(1,1)(1.25,0.75)(1,0)  
 @end example
 
-The @code{\framebox} command is like @code{\makebox} (see previous
-section), except that it puts a frame around the outside of the box
-that it creates.
+The curve's tangent line at (1,1) contains (1.25,0.75), as does the
+curve's tangent line at (1,0).
 
- at findex \fboxrule
- at findex \fboxsep
-The @code{\framebox} command produces a rule of thickness
- at code{\fboxrule}, and leaves a space @code{\fboxsep} between the rule
-and the contents of the box.
+The optional argument @var{num} gives the number of calculated
+intermediate points.  The default is to draw a smooth curve whose
+maximum number of points is @code{\qbeziermax} (change this value with
+ at code{\renewcommand}).
 
 
- at node \dashbox
- at subsection @code{\dashbox}
+ at node \graphpaper
+ at subsection @code{\graphpaper}
 
- at findex \dashbox
+ at findex \graphpaper
+Synopsis:
 
-Draws a box with a dashed line.  Synopsis:
-
 @example
-\dashbox@{@var{dlen}@}(@var{rwidth}, at var{rheight})[@var{pos}]@{@var{text}@}
+\graphpaper(@var{x_init}, at var{y_init})(@var{x_dimen}, at var{y_dimen})
+\graphpaper[@var{spacing}](@var{x_init}, at var{y_init})(@var{x_dimen}, at var{y_dimen})
 @end example
 
- at code{\dashbox} creates a dashed rectangle around @var{text} in a
- at code{picture} environment.  Dashes are @var{dlen} units long, and the
-rectangle has overall width @var{rwidth} and height @var{rheight}.
-The @var{text} is positioned at optional @var{pos}.  @c xxref positions.
+Draw a coordinate grid.  Requires the @code{graphpap} package.
+The grid's origin is @code{(@var{x_init}, at var{y_init})}.
+Grid lines come every @var{spacing} units (the default is 10).
+The grid extends @var{x_dimen} units to the right and @var{y_dimen} units up.
+All arguments must be positive integers.
 
-A dashed box looks best when the @var{rwidth} and @var{rheight} are
-multiples of the @var{dlen}.
+This make a grid with seven vertical lines and eleven horizontal lines.
 
-
- at node \frame
- at subsection @code{\frame}
-
- at findex \frame
-
-Synopsis:
-
 @example
-\frame@{@var{text}@}
+\usepackage@{graphpap@}    % in preamble
+  ...
+\begin@{picture@}(6,20)    % in document body
+  \graphpaper[2](0,0)(12,20)
+\end@{picture@}
 @end example
 
-The @code{\frame} command puts a rectangular frame around @var{text}.
-The reference point is the bottom left corner of the frame.  No extra
-space is put between the frame and the object.
+The lines are numbered every ten units.
 
 
 @node \line
@@ -4962,18 +5011,51 @@
 Synopsis:
 
 @example
-\line(@var{xslope}, at var{yslope})@{@var{length}@}
+\line(@var{x_run}, at var{y_rise})@{@var{travel}@}
 @end example
 
-The @code{\line} command draws a line with the given @var{length} and
-slope @var{xslope}/@var{yslope}.
+Draw a line.  It slopes such that it vertically rises @var{y_rise} for
+every horizontal @var{x_run}, and such that the total horizontal change
+is @var{travel}.  In the special case of vertical lines, if
+(@var{x_run}, at var{y_rise})=(0,1), then @var{travel} gives the change in
+ at math{y}.
 
+This draws a line starting at coordinates (1,3).
+
+ at example
+\put(1,3)@{\line(2,5)@{4@}@}
+ at end example
+
+For every over 2, this line will go up 5.  Because @var{travel}
+specifies that this goes over 4, it must go up at tie{}10.  Thus its
+endpoint is @math{(1,3)+(4,10)=(5,13)}.  In particular, note that
+ at math{@var{travel}=4} is not the length of the line, it is the change in
+ at math{x}.
+
+The arguments @var{x_run} and @var{y_rise} are integers that can be
+positive, negative, or zero. (If both are 0 then @LaTeX{} treats the
+second as 1.)  With
+ at code{\put(@var{x_init}, at var{y_init})@{\line(@var{x_run}, at var{y_rise})@{@var{travel}@}@}},
+if @var{x_run} is negative then the line's ending point has a first
+coordinate that is less than @var{x_init}.  If @var{y_rise} is negative
+then the line's ending point has a second coordinate that is less than
+ at var{y_init}.
+
+If @var{travel} is negative then you get @code{LaTeX Error: Bad \line or
+\vector argument.}
+
 @cindex @code{pict2e} package
 @cindex graphics packages
-Standard @LaTeX{} can only draw lines with @math{@var{slope} = x/y},
-where @math{x} and @math{y} have integer values from @minus{}6
-through at tie{}6.  For lines of any slope, and plenty of other shapes,
-see @code{pict2e} and many other packages on CTAN.
+ at PkgIndex{pict2e}
+Standard @LaTeX{} can only draw lines with a limited range of slopes
+because these lines are made by putting together line segments from
+pre-made fonts.  The two numbers @var{x_run} and @var{y_rise} must have
+integer values from @minus{}6 through at tie{}6.  Also, they must be
+relatively prime, so that @var{(x_run,y_rise)} can be (2,1) but not
+(4,2) (if you choose the latter then instead of lines you get sequences
+of arrowheads; the solution is to switch to the former).  To get lines
+of arbitrary slope, and plenty of other shapes, see @code{pict2e} and
+many other packages on CTAN.
 
 
 @node \linethickness
@@ -4981,49 +5063,65 @@
 
 @findex \linethickness
 
-The @code{\linethickness@{@var{dim}@}} command declares the thickness
-of horizontal and vertical lines in a picture environment to be
- at var{dim}, which must be a positive length.
+Synopsis:
 
- at code{\linethickness} does not affect the thickness of slanted lines,
-circles, or the quarter circles drawn by @code{\oval}.
+ at example
+\linethickness@{@var{dim}@}
+ at end example
 
+Declares the thickness of subsequent horizontal and vertical lines in a
+picture to be @var{dim}, which must be a positive length
+(@pxref{Lengths}).  It differs from @code{\thinlines} and
+ at code{\thicklines} in that it does not affect the thickness of slanted
+lines, circles, or ovals.
 
+
+ at node \thinlines
+ at subsection @code{\thinlines}
+
+ at findex \thinlines
+
+Declaration to set the thickness of subsequent lines, circles, and ovals
+in a picture environment to be 0.4 at dmn{pt}.  This is the default
+thickness, so this command is unnecessary unless the thickness has been
+changed with either @ref{\linethickness} or @ref{\thicklines}.
+
+
 @node \thicklines
 @subsection @code{\thicklines}
 
 @findex \thicklines
 
-The @code{\thicklines} command is an alternate line thickness for
-horizontal and vertical lines in a picture environment;
-cf. at tie{}@ref{\linethickness} and @ref{\thinlines}.
+Declaration to set the thickness of subsequent lines, circles, and ovals
+in a picture environment to be 0.8 at dmn{pt}.  See also
+ at ref{\linethickness} and @ref{\thinlines}.  This command is illustrated
+in the Trapezoidal Rule example of @ref{picture}.
 
 
- at node \thinlines
- at subsection @code{\thinlines}
+ at node \circle
+ at subsection @code{\circle}
 
- at findex \thinlines
+ at findex \circle
 
-The @code{\thinlines} command is the default line thickness for
-horizontal and vertical lines in a picture environment;
-cf. at tie{}@ref{\linethickness} and @ref{\thicklines}.
+Synopsis:
 
+ at example
+\circle@{@var{diameter}@}
+\circle*@{@var{diameter}@}
+ at end example
 
- at node \multiput
- at subsection @code{\multiput}
+Produces a circle with a diameter as close as possible to the specified
+one.  The @code{*}@tie{}form produces a filled-in circle.
 
- at findex \multiput
+This draws a circle of radius 6, centered at @code{(5,7)}.
 
-Synopsis:
-
 @example
-\multiput(@var{x}, at var{y})(@var{delta_x}, at var{delta_y})@{@var{n}@}@{@var{obj}@}
+\put(5,7)@{\circle@{6@}@}
 @end example
 
-The @code{\multiput} command copies the object @var{obj} in a regular
-pattern across a picture.  @var{obj} is first placed at position
- at math{(x,y)}, then at @math{(x+\delta x,y+\delta y)}, and so on,
- at var{n} times.
+The available radiuses for @code{circle} are, in points, the even
+numbers from 2 to 20, inclusive.  For @code{circle*} they are all the
+integers from 1 to 15.
 
 
 @node \oval
@@ -5034,48 +5132,43 @@
 Synopsis:
 
 @example
+\oval(@var{width}, at var{height})
 \oval(@var{width}, at var{height})[@var{portion}]
 @end example
 
-The @code{\oval} command produces a rectangle with rounded corners.  The
-optional argument @var{portion} allows you to produce only half of the
-oval via the following:
+Produce a rectangle with rounded corners.  The optional argument
+ at var{portion} allows you to produce only half or a quarter of the oval.
+For half an oval take @var{portion} to be one of these.
 
 @table @code
 @item t
-selects the top half;
+top half
 @item b
-selects the bottom half;
+bottom half
 @item r
-selects the right half;
+right half
 @item l
-selects the left half.
+left half
 @end table
 
-It is also possible to produce only one quarter of the oval by setting
- at var{portion} to @code{tr}, @code{br}, @code{bl}, or @code{tl}.
+Produce only one quarter of the oval by setting @var{portion} to
+ at code{tr}, @code{br}, @code{bl}, or @code{tl}.
 
-The ``corners'' of the oval are made with quarter circles with a
-maximum radius of 20 at dmn{pt}, so large ``ovals'' will look more like
-boxes with rounded corners.
+This draws the top half of an oval that is 3 wide and 7 tall.  
 
-
- at node \put
- at subsection @code{\put}
-
- at findex \put
-
-Synopsis:
-
 @example
-\put(@var{xcoord}, at var{ycoord})@{ ... @}
+\put(5,7)@{\oval(3,7)[t]@}
 @end example
 
-The @code{\put} command places the material specified by the
-(mandatory) argument in braces at the given coordinate,
-(@var{xcoord}, at var{ycoord}).
+The (5,7) is the center of the entire oval, not just the center of the
+top half.
 
+These shapes are not ellipses.  They are rectangles whose corners are
+made with quarter circles.  These circles have a maximum radius of
+20 at dmn{pt} (@pxref{\circle} for the sizes).  Thus large ovals are just
+boxes with a small amount of corner rounding.
 
+
 @node \shortstack
 @subsection @code{\shortstack}
 
@@ -5084,25 +5177,50 @@
 Synopsis:
 
 @example
-\shortstack[@var{position}]@{...\\...\\...@}
+\shortstack[@var{position}]@{@var{line 1} \\ @var{line 2} \\ ... @}
 @end example
 
-The @code{\shortstack} command produces a stack of objects.  The valid
-positions are:
+Produce a vertical stack of objects.
 
+This labels the @math{y} axis.
+
+ at example
+\put(0,0)@{\vector(1,0)@{4@}@}   % x axis
+\put(0,0)@{\vector(0,1)@{2@}@}   % y
+\put(-0.25,2)@{\makebox[0][r]@{\shortstack[r]@{$y$\\ axis@}@}@}
+ at end example
+
+ at noindent For a short stack, the reference point is the lower left of the stack.
+In this example the @ref{\makebox} puts the stack flush right in a zero
+width box so in total the short stack sits slightly to the left of the
+ at math{y}@tie{}axis.
+
+The valid positions are:
+
 @table @code
 @item r
-Move the objects to the right of the stack.
+Make objects flush right
 @item l
-Move the objects to the left of the stack
+Make objects flush left
 @item c
-Move the objects to the centre of the stack (default)
+Center objects (default)
 @end table
 
 @findex \\ @r{(for @code{\shortstack} objects)}
-Objects are separated with @code{\\}.
+Separate objects into lines with @code{\\}.  These stacks are short in
+that, unlike in a @code{tabular} or @code{array} environment, here the
+rows are not spaced out to be of even heights.  Thus, in
+ at code{\shortstack@{X\\o\\o\\X@}} the first and last rows are taller than
+the middle two.  You can adjust row heights either by putting in the
+usual interline spacing with @code{\shortstack@{X\\ \strut o\\o\\X@}},
+or by hand, via an explicit zero-width box @code{\shortstack@{X \\
+\rule@{0pt@}@{12pt@} o\\o\\X@}} or by using @code{\\}'s optional
+argument @code{\shortstack@{X\\[2pt] o\\o\\X@}}.
 
+The @code{\shortstack} command is also available outside the
+ at code{picture} environment.
 
+
 @node \vector
 @subsection @code{\vector}
 
@@ -5111,14 +5229,140 @@
 Synopsis:
 
 @example
-\vector(@var{xslope}, at var{yslope})@{@var{length}@}
+\vector(@var{x_run}, at var{y_rise})@{@var{travel}@}
 @end example
 
-The @code{\vector} command draws a line with an arrow of the specified
-length and slope.  The @math{@var{xslope}} and @math{@var{yslope}}
-values must lie between @minus{}4 and +4, inclusive.
+Draw a line ending in an arrow.  It slopes such that it vertically rises
+ at var{y_rise} for every horizontal @var{x_run}, and such that the total
+horizontal change is @var{travel}.  In the special case of vertical
+vectors, if (@var{x_run}, at var{y_rise})=(0,1), then @var{travel} gives
+the change in @math{y}.
 
+For an example see @ref{picture}.
 
+For elaboration on @var{x_run} and @var{y_rise} see @ref{\line}.  As
+there, the values of @var{x_run} and @var{y_rise} are limited.  You must
+chooses integers between @minus{}4 and 4, inclusive.  Also, the two you
+choose must be relatively prime.  Thus, @code{\vector(2,1)@{4@}} is
+acceptable but @code{\vector(4,2)@{4@}} is not (if you use the latter
+then you get a sequence of arrowheads).
+
+
+ at node \makebox (picture)
+ at subsection @code{\makebox} (picture)
+
+ at findex \makebox @r{(for @code{picture})}
+
+Synopsis:
+
+ at example
+\makebox(@var{width}, at var{height})@{@var{text}@}
+\makebox(@var{width}, at var{height})[@var{position}]@{@var{text}@}
+ at end example
+
+Similar to the normal @code{\makebox} command (@pxref{\makebox}) except
+that you must specify a @var{width} and @var{height}, which you give in
+multiples of @code{\unitlength}.  @xref{picture} for the discussion of
+ at code{\unitlength}.
+
+This makes a box of length 3 times @code{\unitlength} and height 4
+times @code{\unitlength}.
+
+ at example
+\put(1,2)@{\makebox(3,4)@{...@}@}
+ at end example
+
+Its contents will be right justified in that box.
+
+The optional @code{@var{position}} specifies the quadrant in which your
+ at var{text} appears.  Use up to two of these:
+
+ at table @code
+ at item t
+Moves the item to the top of the rectangle.
+
+ at item b
+Moves the item to the bottom.
+
+ at item l
+Moves the item to the left.
+
+ at item r
+Moves the item to the right.
+
+ at end table
+
+
+ at node \framebox (picture)
+ at subsection @code{\framebox} (picture)
+
+ at findex \framebox
+
+Synopsis:
+
+ at example
+\framebox(@var{width}, at var{height})@{...@}
+\framebox(@var{width}, at var{height})[@var{position}]@{...@}
+ at end example
+
+Like @ref{\makebox (picture)} except that it puts a frame
+around the outside of the box that it creates.
+The reference point is the bottom left corner of the frame.
+ at findex \fboxrule
+ at findex \fboxsep
+The rule has thickness @code{\fboxrule} and there is a blank space
+ at code{\fboxsep} between the frame and the contents of the box.
+
+For this command, you must specify the @var{width} and @var{height}.  If
+you want to just put a frame around some contents whose dimenstion is
+determined in some other way then either use @code{\fbox} (@pxref{\fbox
+and \framebox}) or @code{\frame} (@pxref{\frame}).
+
+ at node \frame
+ at subsection @code{\frame}
+
+ at findex \frame
+
+Synopsis:
+
+ at example
+\frame@{@var{contents}@}
+ at end example
+
+Puts a rectangular frame around @var{contents}.  The reference point is
+the bottom left corner of the frame.  In contrast to @code{\fbox}
+(@pxref{\fbox and \framebox}), this command puts no extra space is put
+between the frame and the object.
+
+
+ at node \dashbox
+ at subsection @code{\dashbox}
+
+ at findex \dashbox
+
+Synopsis:
+
+ at example
+\dashbox@{@var{dlen}@}(@var{rwidth}, at var{rheight})@{@var{text}@}
+\dashbox@{@var{dlen}@}(@var{rwidth}, at var{rheight})[@var{position}]@{@var{text}@}
+ at end example
+
+Create a dashed rectangle around @var{text} in a @code{picture}
+environment.  Dashes are @var{dlen} units long and the rectangle has
+overall width @var{rwidth} and height @var{rheight}.  The @var{text} is
+positioned according to the optional @var{position}; see @ref{\makebox
+(picture)} for the values that @var{position} can take.
+
+This shows that you can use non-integer @var{dlen}.
+
+ at example
+\put(0,0)@{\dashbox@{0.1@}(5,0.5)@{My hovercraft is full of eels.@}@}
+ at end example
+
+As in that example, a dashed box looks best when the @var{rwidth} and
+ at var{rheight} are multiples of the @var{dlen}.
+
+
 @node quotation & quote
 @section @code{quotation} & @code{quote}
 
@@ -6621,7 +6865,8 @@
 @LaTeX{}'s default puts many restrictions on where you can use a
 @code{\footnote}; for instance, you cannot use it in an argument to a
 sectioning command such as @code{\chapter} (it can only be used in outer
-paragraph mode).  There are some workarounds; see following sections.
+paragraph mode; @pxref{Modes}).  There are some workarounds; see
+following sections.
 @c xx mention packages that fix this
 
 @cindex Footnotes, in a minipage
@@ -10964,7 +11209,7 @@
 commands of this chapter.  Two that use a programming language are
 Asymptote and MetaPost.  One that uses a graphical interface is Xfig.
 Full description of these systems is outside the scope of this document;
-see their documentation.
+see their documentation on CTAN.
 
 @menu
 * Graphics package options::         Options when you load the package.
@@ -11496,7 +11741,7 @@
 it.
 
 @item angle
-Rotate the picture.  The angle is taken in degrees and counterclockwise.
+Rotate the graphic.  The angle is taken in degrees and counterclockwise.
 The graphic is rotated about its @code{origin}; see that option.  For a
 complete description of how rotated material is typeset,
 @pxref{\rotatebox}.



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