<?xml version="1.0"?>
<problem 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>Este problema é parte do repositório do Geometria.</comments>
</envelope>
<text>Esta figura é feita de duas pirâmides regulares. Encontre o ponto onde a esfera inscrita toca a face ABD.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Hexaedro</name>
<color>#ffff</color>
<transparent>true</transparent>
<labelled>true</labelled>
<solid>
<points>
<point>
<label>A</label>
<coords>0.9999999999999999 0.0 0.0</coords>
</point>
<point>
<label>B</label>
<coords>-0.49999999999999983 0.8660254037844386 0.0</coords>
</point>
<point>
<label>C</label>
<coords>-0.5000000000000004 -0.8660254037844386 0.0</coords>
</point>
<point>
<label>D</label>
<coords>0.0 0.0 1.632993161855452</coords>
</point>
<point>
<label>E</label>
<coords>0.0 0.0 -1.632993161855452</coords>
</point>
</points>
<lines>
</lines>
</solid>
<camera>
<attitude>-0.3984733955005548 -0.4803379631563006 -0.6143316484354678 0.48279500821743865</attitude>
</camera>
</figure>
</figures>
<answer>
<type>pointSet</type>
<coords>0.22857142857142873 0.3958973274443148 0.13997084244475302</coords>
</answer>
</problem>
