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

<record version="14" id="8011">
 <title>adjacent</title>
 <name>Adjacent2</name>
 <created>2006-06-11 18:11:52</created>
 <modified>2007-06-01 13:26:03</modified>
 <type>Definition</type>
 <creator id="1863" name="Wkbj79"/>
 <author id="1863" name="Wkbj79"/>
 <classification>
	<category scheme="msc" code="51-01"/>
 </classification>
 <synonyms>
	<synonym concept="adjacent" alias="adjacent side"/>
 </synonyms>
 <related>
	<object name="Sohcahtoa"/>
 </related>
 <preamble>\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}

\usepackage{amsthm}
\usepackage{pstricks}
</preamble>
 <content>Given a right triangle with an acute angle $\theta$, the side of the triangle that is \emph{adjacent} to $\theta$ is the side of the triangle that is also a \PMlinkname{side}{Angle} of $\theta$ and is not the hypotenuse.

\begin{center}
\begin{pspicture}(0,-2)(4,4)
\pspolygon(0,0)(4,4)(4,0)
\rput[b](2,0){adjacent}
\psline(3.8,0)(3.8,0.2)
\psline(3.8,0.2)(4,0.2)
\psarc(0,0){0.3}{0}{45}
\rput[b](0.5,0.15){$\theta$}
\rput[l](0,0){.}
\rput[a](4,4){.}
\rput[b](4,0){.}
\end{pspicture}
\end{center}

When a phrase such as ``adjacent of an angle'' is used, one must determine from context whether it refers to this definition of adjacent or the other definition of \PMlinkname{adjacent}{Adjacent3}.  Note that the definition supplied above is specifically for right triangles.</content>
</record>
