<?xml version="1.0" encoding="UTF-8"?>

<record version="4" id="9452">
 <title>AAA</title>
 <name>AAA</name>
 <created>2007-05-23 19:28:28</created>
 <modified>2008-02-21 01:30:58</modified>
 <type>Theorem</type>
 <creator id="1863" name="Wkbj79"/>
 <author id="1863" name="Wkbj79"/>
 <classification>
	<category scheme="msc" code="51M10"/>
 </classification>
 <synonyms>
	<synonym concept="AAA" alias="AAA theorem"/>
 </synonyms>
 <preamble>\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}

\usepackage{psfrag}
\usepackage{graphicx}
\usepackage{amsthm}
\usepackage{xypic}

\newtheorem{thm*}{Theorem}
</preamble>
 <content>In both hyperbolic geometry and spherical geometry, the AAA theorem holds:

\begin{thm*}
If two triangles have all three pairs of corresponding angles congruent, then the triangles are congruent.
\end{thm*}

Because of this theorem, we have that, in hyperbolic geometry and spherical geometry, similar triangles are congruent.</content>
</record>
