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<construction xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="../xml/intergeo.xsd">
<elements>
<point id="A">
<homogeneous_coordinates>
<double>0</double>
<double>0</double>
<double>1</double>
</homogeneous_coordinates>
</point>
<point id="B">
<homogeneous_coordinates>
<double>6</double>
<double>0</double>
<double>1</double>
</homogeneous_coordinates>
</point>
<point id="C">
<homogeneous_coordinates>
<double>3</double>
<double>3</double>
<double>1</double>
</homogeneous_coordinates>
</point>
<line id="a">
<homogeneous_coordinates>
<double>0</double>
<double>1</double>
<double>0</double>
</homogeneous_coordinates>
</line>
<line id="b">
<homogeneous_coordinates>
<double>1</double>
<double>0</double>
<double>-3</double>
</homogeneous_coordinates>
</line>
<line id="c">
<homogeneous_coordinates>
<double>0</double>
<double>1</double>
<double>-3</double>
</homogeneous_coordinates>
</line>
</elements>
<constraints>
<free_point>
<point out="true">A</point>
</free_point>
<free_point>
<point out="true">B</point>
</free_point>
<free_point>
<point out="true">C</point>
</free_point>
<line_through_two_points>
<line out="true">a</line>
<point>A</point>
<point>B</point>
</line_through_two_points>
<line_perpendicular_to_line_through_point>
<line out="true">b</line>
<point>C</point>
<line>a</line>
</line_perpendicular_to_line_through_point>
<line_parallel_to_line_through_point>
<line out="true">c</line>
<point>C</point>
<line>a</line>
</line_parallel_to_line_through_point>
</constraints>
</construction>
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