<?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>O problemă-model din cadrul Geometriei.</comments>
</envelope>
<text>Această carcasă are forma unei piramide regulate. O bară cilindrică suficient de lungă este trecută prin interiorul carcasei astfel încat suprafaţa barei atinge toate muchiile cu exceptia lui AB. Construieşte punctul în care bara atinge muchia DC.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Piramida</name>
<color>#ffff</color>
<transparent>true</transparent>
<labelled>true</labelled>
<solid>
<points>
<point>
<label>D</label>
<coords>0.0 0.0 1.1267652816802618</coords>
</point>
<point>
<label>A</label>
<coords>1.0 0.0 -0.5062278801751902</coords>
</point>
<point>
<label>C</label>
<coords>-0.5000000000000003 -0.8660254037844386 -0.5062278801751902</coords>
</point>
<point>
<label>B</label>
<coords>-0.49999999999999967 0.8660254037844386 -0.5062278801751902</coords>
</point>
</points>
<lines>
</lines>
</solid>
<camera>
<attitude>-0.4792916756378825 -0.354306829601106 -0.4609184033373507 0.6574955403857817</attitude>
</camera>
</figure>
</figures>
<answer>
<type>pointSet</type>
<coords>-0.2771332833038013 -0.4800089271505632 0.221651768564948</coords>
</answer>
</problem>
