<?xml version="1.0" encoding="UTF-8"?>
<solution xmlns="http://geocentral.net">
<version>3.1</version>
<envelope>
<author>
<name>Stelian Dumitrascu</name>
<email>stelian@geocentral.net</email>
<web>http://geocentral.net/geometria</web>
</author>
<comments>This is the solution of a sample Geometria problem.</comments>
</envelope>
<problem>
<envelope>
<author>
<name>Stelian Dumitrascu</name>
<email>stelian@geocentral.net</email>
<web>http://geocentral.net/geometria</web>
</author>
<comments>Ce problème fait partie du répertoire original de Geometria.</comments>
</envelope>
<text>Déterminer un point de l&#39;arête AB qui soit équidistant des extrémités de l&#39;arête GJ.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Tronc</name>
<color>#ffff</color>
<transparent>true</transparent>
<labelled>true</labelled>
<solid>
<points>
<point>
<label>A</label>
<coords>1.1562867710687599 -0.031759519854980184 0.0</coords>
</point>
<point>
<label>B</label>
<coords>0.327107164318697 1.109508299699204 0.0</coords>
</point>
<point>
<label>C</label>
<coords>-0.833631922743682 0.8050155609257711 0.0</coords>
</point>
<point>
<label>G</label>
<coords>0.2975986671312231 -0.489124214802423 0.816496580927726</coords>
</point>
<point>
<label>D</label>
<coords>-0.7218285238686927 -0.5244391205179378 0.0</coords>
</point>
<point>
<label>E</label>
<coords>0.5080088637561915 -1.0415945613793811 0.0</coords>
</point>
<point>
<label>H</label>
<coords>-0.28113968679372 0.36001390343502954 0.9797958971132712</coords>
</point>
<point>
<label>I</label>
<coords>0.2071478174124759 0.5864272157368696 0.816496580927726</coords>
</point>
<point>
<label>J</label>
<coords>-0.23641832724372425 -0.17176796914245404 0.9797958971132712</coords>
</point>
<point>
<label>K</label>
<coords>0.7194232694404553 0.0071033124717115766 0.6672867316764954</coords>
</point>
</points>
<lines>
</lines>
</solid>
<camera>
<attitude>-0.23832255127860544 -0.548601532534033 -0.7192233284686534 0.35349190067077685</attitude>
</camera>
</figure>
</figures>
<answer>
<type>pointSet</type>
<coords>0.48364151396281696 0.894057250916324 0.0</coords>
</answer>
</problem>
<log>
<action>
<className>GDrawMidpointAction</className>
<figureName>Tronc</figureName>
<p1Label>G</p1Label>
<p2Label>J</p2Label>
</action>
<action>
<className>GPerpendicularAction</className>
<figureName>Tronc</figureName>
<fLabel1>E</fLabel1>
<fLabel2>G</fLabel2>
<fLabel3>J</fLabel3>
<p0Label>L</p0Label>
<p1Label>G</p1Label>
<p2Label>J</p2Label>
</action>
<action>
<className>GPerpendicularAction</className>
<figureName>Tronc</figureName>
<fLabel1>G</fLabel1>
<fLabel2>K</fLabel2>
<fLabel3>I</fLabel3>
<p0Label>L</p0Label>
<p1Label>G</p1Label>
<p2Label>J</p2Label>
</action>
<action>
<className>GCutAction</className>
<figureName>Tronc</figureName>
<p0Label>L</p0Label>
<p1Label>M</p1Label>
<p2Label>N</p2Label>
<figure1Name>Figure1</figure1Name>
<figure2Name>Figure2</figure2Name>
</action>
<action>
<className>GSolutionAnswerAction</className>
<value>O</value>
<figureName>Figure2</figureName>
</action>
</log>
</solution>