<?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>Esta solução é parte do repositório do Geometria.</comments>
</envelope>
<problem>
<envelope>
<author>
<name>Stelian Dumitrascu</name>
<email>stelian@geocentral.net</email>
<web>http://geocentral.net/geometria</web>
</author>
<comments>Este problema é parte do repositório do Geometria.</comments>
</envelope>
<text>Encontre um plano que contem a aresta AB e faz um ângulo de 55 graus com a aresta DC desta pirâmide regular.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Pirâmide</name>
<color>#ffff</color>
<transparent>true</transparent>
<labelled>true</labelled>
<solid>
<points>
<point>
<label>A</label>
<coords>1.0 0.0 -0.5062278801751902</coords>
</point>
<point>
<label>B</label>
<coords>-0.49999999999999967 0.8660254037844386 -0.5062278801751902</coords>
</point>
<point>
<label>C</label>
<coords>-0.5000000000000003 -0.8660254037844386 -0.5062278801751902</coords>
</point>
<point>
<label>D</label>
<coords>0.0 0.0 1.1267652816802618</coords>
</point>
</points>
<lines>
</lines>
</solid>
<camera>
<attitude>-0.48539945142374036 -0.3848186992264811 -0.45894369408367536 0.6369243494670311</attitude>
</camera>
</figure>
</figures>
<answer>
<type>fixedPlane</type>
<coords>-0.061570293273071175 -0.10664287618587553 0.9256775459035419</coords>
<coords>0.2499999999999999 0.4330127018922194 -0.5062278801751902</coords>
<coords>-0.49999999999999967 0.8660254037844386 -0.5062278801751902</coords>
</answer>
</problem>
<log>
<action>
<className>GDrawMidpointAction</className>
<figureName>Pirâmide</figureName>
<p1Label>B</p1Label>
<p2Label>A</p2Label>
</action>
<action>
<className>GCutAction</className>
<figureName>Pirâmide</figureName>
<p0Label>E</p0Label>
<p1Label>C</p1Label>
<p2Label>D</p2Label>
<figure1Name>Figura1</figure1Name>
<figure2Name>Figura2</figure2Name>
</action>
<action>
<className>GMeasureAngleAction</className>
<figureName>Figura2</figureName>
<p0Label>C</p0Label>
<p1Label>D</p1Label>
<p2Label>E</p2Label>
<variableName>AnguloC</variableName>
</action>
<action>
<className>GLayAngleAction</className>
<figureName>Figura2</figureName>
<angle>PI-AnguloC-55/180*PI</angle>
<fLabel1>C</fLabel1>
<fLabel2>E</fLabel2>
<fLabel3>D</fLabel3>
<p1Label>E</p1Label>
<p2Label>C</p2Label>
</action>
<action>
<className>GSolutionAnswerAction</className>
<value>F,B,E</value>
<figureName>Figura2</figureName>
</action>
</log>
</solution>