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

<record version="2" id="1449">
 <title>Lemoine circle</title>
 <name>LemoineCircle</name>
 <created>2002-01-08 01:08:02</created>
 <modified>2005-01-09 11:15:19</modified>
 <type>Definition</type>
 <creator id="3" name="drini"/>
 <author id="3" name="drini"/>
 <classification>
	<category scheme="msc" code="51-00"/>
 </classification>
 <related>
	<object name="Triangle"/>
	<object name="Symmedian"/>
	<object name="LemoinePoint"/>
	<object name="Incircle"/>
 </related>
 <preamble></preamble>
 <content>If through the Lemoine point of a triangle are drawn parallels to the sides, the six points where these intersect the circle lie all on a same circle. This circle is called the \emph{Lemoine circle} of the triangle</content>
</record>
