<?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>Cette solution fait partie du répertoire original de Geometria.</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 plan qui coupe ce crayon en deux parties d&#39;égal volume et qui soit parallèle à sa base.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Crayon</name>
<color>#3399ff</color>
<transparent>false</transparent>
<labelled>true</labelled>
<solid>
<points>
<point>
<label>A</label>
<coords>0.9999999999999998 0.0 0.776163282309382</coords>
</point>
<point>
<label>B</label>
<coords>0.4999999999999999 0.8660254037844383 0.776163282309382</coords>
</point>
<point>
<label>C</label>
<coords>-0.5 0.8660254037844384 0.776163282309382</coords>
</point>
<point>
<label>G</label>
<coords>0.0 0.0 2.409156444164834</coords>
</point>
<point>
<label>D</label>
<coords>-1.0000000000000002 0.0 0.776163282309382</coords>
</point>
<point>
<label>E</label>
<coords>-0.5000000000000007 -0.8660254037844388 0.776163282309382</coords>
</point>
<point>
<label>F</label>
<coords>0.4999999999999991 -0.8660254037844394 0.776163282309382</coords>
</point>
<point>
<label>H</label>
<coords>0.9999999999999998 0.0 -2.2238367176906157</coords>
</point>
<point>
<label>I</label>
<coords>0.4999999999999998 0.8660254037844385 -2.2238367176906157</coords>
</point>
<point>
<label>J</label>
<coords>-0.49999999999999933 0.8660254037844387 -2.2238367176906157</coords>
</point>
<point>
<label>K</label>
<coords>-0.9999999999999993 0.0 -2.2238367176906157</coords>
</point>
<point>
<label>L</label>
<coords>-0.5 -0.8660254037844372 -2.2238367176906157</coords>
</point>
<point>
<label>M</label>
<coords>0.4999999999999992 -0.8660254037844378 -2.2238367176906157</coords>
</point>
</points>
<lines>
</lines>
</solid>
<camera>
<attitude>-0.5328608041697043 -0.3348186344436886 -0.4134665796294599 0.6580282918981487</attitude>
</camera>
</figure>
</figures>
<answer>
<type>fixedPlane</type>
<coords>-0.5000000000000004 -0.8660254037844382 -0.4516711907147073</coords>
<coords>-0.9999999999999999 0.0 -0.45167119071470707</coords>
<coords>-0.49999999999999956 0.8660254037844387 -0.4516711907147066</coords>
</answer>
</problem>
<log>
<action>
<className>GVolumeAction</className>
<figureName>Crayon</figureName>
<variableName>Volume</variableName>
</action>
<action>
<className>GAreaAction</className>
<figureName>Crayon</figureName>
<fLabel1>J</fLabel1>
<fLabel2>I</fLabel2>
<fLabel3>H</fLabel3>
<variableName>Base</variableName>
</action>
<action>
<className>GCalcEvaluateAction</className>
<variableName>Hauteur</variableName>
<expression>0.5*Volume/Base</expression>
</action>
<action>
<className>GLayDistanceAction</className>
<figureName>Crayon</figureName>
<distance>Hauteur</distance>
<p0Label>H</p0Label>
<p1Label>H</p1Label>
<p2Label>A</p2Label>
</action>
<action>
<className>GPerpendicularAction</className>
<figureName>Crayon</figureName>
<p0Label>N</p0Label>
<p1Label>M</p1Label>
<p2Label>F</p2Label>
</action>
<action>
<className>GPerpendicularAction</className>
<figureName>Crayon</figureName>
<p0Label>N</p0Label>
<p1Label>B</p1Label>
<p2Label>I</p2Label>
</action>
<action>
<className>GSolutionAnswerAction</className>
<value>O,N,P</value>
<figureName>Crayon</figureName>
</action>
</log>
</solution>