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

<record version="8" id="655">
 <title>triangle center</title>
 <name>CenterOfATriangle</name>
 <created>2001-11-01 21:46:38</created>
 <modified>2005-09-24 18:42:21</modified>
 <type>Definition</type>
 <creator id="409" name="mps"/>
 <author id="409" name="mps"/>
 <author id="2760" name="yark"/>
 <author id="3" name="drini"/>
 <classification>
	<category scheme="msc" code="51-00"/>
 </classification>
 <synonyms>
	<synonym concept="triangle center" alias="triangle centre"/>
	<synonym concept="triangle center" alias="center"/>
	<synonym concept="triangle center" alias="centre"/>
 </synonyms>
 <related>
	<object name="Orthocenter"/>
	<object name="Centroid"/>
	<object name="EulerLine"/>
 </related>
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 <content>On every triangle there are points where special lines or circles intersect, and those points usually have very interesting geometrical properties. Such points are called \emph{triangle centers.}

Some examples of triangle centers are incenter, orthocenter, centroid, circumcenter, excenters, Feuerbach point, Fermat points, etc.

For an online reference please check the
\PMlinkexternal{Triangle Centers}{http://faculty.evansville.edu/ck6/tcenters/} page.

Here is a drawing showing the most important lines and centers of a triangle
\begin{center}
\figuraex{triangulo-rev}{scale=0.75}
\end{center}
{\footnotesize(XEukleides \PMlinktofile{source code}{triangulo-rev.euk} for the drawing)}</content>
</record>
