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

<record version="10" id="28">
 <title>sines law</title>
 <name>SinesLaw</name>
 <created>2001-08-18 21:55:09</created>
 <modified>2002-01-30 20:06:05</modified>
 <type>Theorem</type>
 <creator id="3" name="drini"/>
 <author id="3" name="drini"/>
 <classification>
	<category scheme="msc" code="51-00"/>
 </classification>
 <synonyms>
	<synonym concept="sines law" alias="law of sines"/>
 </synonyms>
 <related>
	<object name="CosinesLaw"/>
	<object name="SinesLawProof"/>
	<object name="Triangle"/>
 </related>
 <keywords>
	<term>Sine</term>
	<term>Trigonometry</term>
	<term>Circle</term>
	<term>Circumcircle</term>
	<term>Triangle</term>
 </keywords>
 <preamble>\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic}
</preamble>
 <content>\textbf{Sines Law.}\\
Let $ABC$ be a triangle where $a,b,c$ are the sides opposite to $A,B,C$ respectively, and let $R$ be the radius of the circumcircle. Then the following relation holds:
$$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}=2R.$$
\medskip
\begin{center}
\includegraphics[scale=0.5]{SinesLaw}
\end{center}</content>
</record>
