# HG changeset patch
# User Scott Morrison <scott@tqft.net>
# Date 1280524763 25200
# Node ID 6712876d73e074ae90e34fda8c661186f7db194b
# Parent  cc44e5ed2db10422995f0f4b7854b2f96d597e5d# Parent  c221d8331f30f7d72a61ca77ff3f36d0bec7b49e
Automated merge with https://tqft.net/hg/blob/

diff -r cc44e5ed2db1 -r 6712876d73e0 text/appendixes/comparing_defs.tex
--- a/text/appendixes/comparing_defs.tex	Fri Jul 30 08:36:25 2010 -0400
+++ b/text/appendixes/comparing_defs.tex	Fri Jul 30 14:19:23 2010 -0700
@@ -163,6 +163,7 @@
 \begin{tikzpicture}
 \newcommand{\rr}{6}
 \newcommand{\vertex}{node[circle,fill=black,inner sep=1pt] {}}
+\newcommand{\namedvertex}[1]{node[circle,fill=black,inner sep=1pt] (#1) {}}
 
 \node(A) at (0,0) {
 \begin{tikzpicture}
@@ -184,11 +185,15 @@
 \node[red,left] at (0,0) {$y$};
 \draw (0,0) \vertex 
 	arc (120:105:\rr) node[red,above] {$a$}
-	arc (105:90:\rr) node[red,above] {$x$} \vertex
-	arc (90:75:\rr) node[red,above] {$x \times I$}
-	arc (75:60:\rr) \vertex node[red,right] {$x$}
-	arc (-60:-90:\rr) node[red,below] {$a$}
-	arc (-90:-120:\rr);
+	arc (105:90:\rr) node[red,above] {$x$} \namedvertex{x1};
+%	arc (90:75:\rr) node[red,above] {$x \times I$};
+%	arc (75:60:\rr) \vertex node[red,right] {$x$}
+%	arc (-60:-90:\rr) node[red,below] {$a$}
+%	arc (-90:-120:\rr);
+\draw (0,0)
+	arc (-120:-90:\rr) node[red,below] {$a$}
+	arc (-90:-61:\rr) \namedvertex{x2} node[red,right] {$x$};
+\draw (x1) -- node[red, above=3pt] {$x \times I$} (x2);
 \begin{scope}
 	\path[clip] (0,0) arc (-120:-60:\rr) arc (60:120:\rr);
 	\foreach \x in {0,0.48,...,9} {
@@ -203,11 +208,15 @@
 \node[red,left] at (0,0) {$y$};
 \draw (0,0) \vertex 
 	arc (120:105:\rr) node[red,below] {$a$}
-	arc (105:90:\rr) node[red,below] {$x$} \vertex
-	arc (90:75:\rr) node[red,below] {$x \times I$}
-	arc (75:60:\rr) \vertex node[red,right] {$x$}
-	arc (-60:-90:\rr) node[red,above] {$a$}
-	arc (-90:-120:\rr);
+	arc (105:90:\rr) node[red,below] {$x$} \namedvertex{x1};
+%	arc (90:75:\rr) node[red,below] {$x \times I$}
+%	arc (75:60:\rr) \vertex node[red,right] {$x$}
+%	arc (-60:-90:\rr) node[red,above] {$a$}
+%	arc (-90:-120:\rr);
+\draw (0,0)
+	arc (-120:-90:\rr) node[red,above] {$a$}
+	arc (-90:-61:\rr) \namedvertex{x2} node[red,right] {$x$};
+\draw (x1) -- node[red, below=3pt] {$x \times I$} (x2);
 \begin{scope}
 	\path[clip] (0,0) arc (-120:-60:\rr) arc (60:120:\rr);
 	\foreach \x in {0,0.48,...,9} {