<?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>This is a sample Geometria problem.</comments>
</envelope>
<text>A straight line pierces this regular prism at vertex G and makes equal angles with the three edges that join there. Locate the point where the line protrudes from the other side of the prism.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Prism</name>
<color>#ffff</color>
<transparent>true</transparent>
<labelled>true</labelled>
<solid>
<points>
<point>
<label>D</label>
<coords>-1.0 0.0 -0.5999999999999999</coords>
</point>
<point>
<label>K</label>
<coords>-0.5000000000000004 -0.8660254037844385 0.5999999999999999</coords>
</point>
<point>
<label>H</label>
<coords>0.5000000000000001 0.8660254037844386 0.5999999999999999</coords>
</point>
<point>
<label>C</label>
<coords>-0.4999999999999998 0.8660254037844387 -0.5999999999999999</coords>
</point>
<point>
<label>B</label>
<coords>0.5000000000000001 0.8660254037844386 -0.5999999999999999</coords>
</point>
<point>
<label>L</label>
<coords>0.49999999999999933 -0.866025403784439 0.5999999999999999</coords>
</point>
<point>
<label>G</label>
<coords>1.0000000000000002 0.0 0.5999999999999999</coords>
</point>
<point>
<label>I</label>
<coords>-0.4999999999999998 0.8660254037844387 0.5999999999999999</coords>
</point>
<point>
<label>A</label>
<coords>1.0000000000000002 0.0 -0.5999999999999999</coords>
</point>
<point>
<label>F</label>
<coords>0.49999999999999933 -0.866025403784439 -0.5999999999999999</coords>
</point>
<point>
<label>J</label>
<coords>-1.0 0.0 0.5999999999999999</coords>
</point>
<point>
<label>E</label>
<coords>-0.5000000000000004 -0.8660254037844385 -0.5999999999999999</coords>
</point>
</points>
<lines>
</lines>
</solid>
<camera>
<attitude>-0.5328608041697043 -0.3348186344436886 -0.41346657962945993 0.6580282918981487</attitude>
</camera>
</figure>
</figures>
<answer>
<type>pointSet</type>
<coords>-1.0 0.0 -0.40000000000000013</coords>
</answer>
</problem>
