<?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>Soluţia unei problemă-model din cadrul Geometriei.</comments>
</envelope>
<problem>
<envelope>
<author>
<name>Stelian Dumitrascu</name>
<email>stelian@geocentral.net</email>
<web>http://geocentral.net/geometria</web>
</author>
<comments>O problemă-model din cadrul Geometriei.</comments>
</envelope>
<text>Toate muchiile acestui poliedru sunt egale. Intersectează poliedrul cu un plan care nu conţine nici unul din vârfuri astfel încât secţiunea este un romb.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Romboid</name>
<color>#ffff</color>
<transparent>true</transparent>
<labelled>false</labelled>
<solid>
<points>
<point>
<label>A</label>
<coords>-0.3333333333333332 0.9622504486493761 -0.5443310539518175</coords>
</point>
<point>
<label>B</label>
<coords>-1.3333333333333333 -0.769800358919501 -0.5443310539518175</coords>
</point>
<point>
<label>C</label>
<coords>0.6666666666666667 -0.769800358919501 -0.5443310539518175</coords>
</point>
<point>
<label>D</label>
<coords>-0.3333333333333332 -0.19245008972987532 1.0886621079036347</coords>
</point>
<point>
<label>E</label>
<coords>1.3333333333333333 0.769800358919501 0.5443310539518176</coords>
</point>
</points>
<lines>
</lines>
</solid>
<camera>
<attitude>0.2451608254390562 0.5560266954685389 0.5346493834469218 0.5872652896061572</attitude>
</camera>
</figure>
</figures>
<answer>
<type>conditionPlane</type>
<condition>
<type>throughNoVertex</type>
<figureName>Romboid</figureName>
</condition>
<condition/>
<condition>
<type>rhombus</type>
<figureName>Romboid</figureName>
</condition>
</answer>
</problem>
<log>
<action>
<className>GCutAction</className>
<figureName>Romboid</figureName>
<p0Label>E</p0Label>
<p1Label>D</p1Label>
<p2Label>B</p2Label>
<figure1Name>Figura1</figure1Name>
<figure2Name>Figura2</figure2Name>
</action>
<action>
<className>GCutAction</className>
<figureName>Figura1</figureName>
<p0Label>C</p0Label>
<p1Label>F</p1Label>
<p2Label>D</p2Label>
<figure1Name>Figura3</figure1Name>
<figure2Name>Figura4</figure2Name>
</action>
<action>
<className>GDrawMidpointAction</className>
<figureName>Figura4</figureName>
<p1Label>E</p1Label>
<p2Label>D</p2Label>
</action>
<action>
<className>GPerpendicularAction</className>
<figureName>Figura4</figureName>
<p0Label>G</p0Label>
<p1Label>F</p1Label>
<p2Label>D</p2Label>
</action>
<action>
<className>GPerpendicularAction</className>
<figureName>Figura4</figureName>
<fLabel1>C</fLabel1>
<fLabel2>F</fLabel2>
<fLabel3>D</fLabel3>
<p0Label>H</p0Label>
<p1Label>F</p1Label>
<p2Label>D</p2Label>
</action>
<action>
<className>GSolutionAnswerAction</className>
<value>I,H,G</value>
<figureName>Figura4</figureName>
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</log>
</solution>