<?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>Решение задачи-образца</comments>
</envelope>
<problem>
<envelope>
<author>
<name>Stelian Dumitrascu</name>
<email>stelian@geocentral.net</email>
<web>http://geocentral.net/geometria</web>
</author>
<comments>Задача-образец</comments>
</envelope>
<text>В эту правильную пирамиду вписали один шар, затем, в оставшуюся верхнюю часть пирамиды, второй. Найди точку, в которой меньший шар касается грани ABD.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Пирамида</name>
<color>#ffff</color>
<transparent>true</transparent>
<labelled>true</labelled>
<solid>
<points>
<point>
<label>A</label>
<coords>1.0 0.0 -0.5062278801751899</coords>
</point>
<point>
<label>B</label>
<coords>-0.4999999999999997 0.8660254037844386 -0.5062278801751899</coords>
</point>
<point>
<label>C</label>
<coords>-0.5000000000000003 -0.8660254037844386 -0.5062278801751899</coords>
</point>
<point>
<label>D</label>
<coords>0.0 0.0 1.126765281680262</coords>
</point>
</points>
<lines>
</lines>
</solid>
<camera>
<attitude>-0.47156890097572624 -0.36943295080057037 -0.4684983278054581 0.6493468898353321</attitude>
</camera>
</figure>
</figures>
<answer>
<type>pointSet</type>
<coords>0.09672529403490243 0.16753312364548995 0.4949583067304475</coords>
</answer>
</problem>
<log>
<action>
<className>GPerpendicularAction</className>
<figureName>Пирамида</figureName>
<p0Label>D</p0Label>
<p1Label>B</p1Label>
<p2Label>A</p2Label>
</action>
<action>
<className>GCutAction</className>
<figureName>Пирамида</figureName>
<p0Label>D</p0Label>
<p1Label>E</p1Label>
<p2Label>C</p2Label>
<figure1Name>Фигура1</figure1Name>
<figure2Name>Фигура2</figure2Name>
</action>
<action>
<className>GDrawBisectorAction</className>
<figureName>Фигура2</figureName>
<p0Label>E</p0Label>
<p1Label>C</p1Label>
<p2Label>D</p2Label>
</action>
<action>
<className>GPerpendicularAction</className>
<figureName>Фигура2</figureName>
<p0Label>D</p0Label>
<p1Label>E</p1Label>
<p2Label>C</p2Label>
</action>
<action>
<className>GIntersectAction</className>
<figureName>Фигура2</figureName>
<p11Label>E</p11Label>
<p12Label>F</p12Label>
<p21Label>D</p21Label>
<p22Label>G</p22Label>
</action>
<action>
<className>GMeasureDistanceAction</className>
<figureName>Фигура2</figureName>
<p1Label>H</p1Label>
<p2Label>G</p2Label>
<variableName>Радиус</variableName>
</action>
<action>
<className>GLayDistanceAction</className>
<figureName>Фигура2</figureName>
<distance>Радиус</distance>
<p0Label>H</p0Label>
<p1Label>D</p1Label>
<p2Label>G</p2Label>
</action>
<action>
<className>GPerpendicularAction</className>
<figureName>Фигура2</figureName>
<p0Label>I</p0Label>
<p1Label>D</p1Label>
<p2Label>G</p2Label>
</action>
<action>
<className>GDrawBisectorAction</className>
<figureName>Фигура2</figureName>
<p0Label>J</p0Label>
<p1Label>K</p1Label>
<p2Label>D</p2Label>
</action>
<action>
<className>GIntersectAction</className>
<figureName>Фигура2</figureName>
<p11Label>D</p11Label>
<p12Label>G</p12Label>
<p21Label>J</p21Label>
<p22Label>L</p22Label>
</action>
<action>
<className>GPerpendicularAction</className>
<figureName>Фигура2</figureName>
<p0Label>M</p0Label>
<p1Label>D</p1Label>
<p2Label>E</p2Label>
</action>
<action>
<className>GSolutionAnswerAction</className>
<value>N</value>
<figureName>Фигура2</figureName>
</action>
</log>
</solution>