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<!-- This file uses all the constraints involving directed_line_segment.
A directed_line_segment is built, then reflected, and all the properties
are extracted from the image.
It still has not been run on any DGS, so it may contain bugs. -->
<construction xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="../xml/intergeo.xsd">
<elements>
<point id="L1">
<homogeneous_coordinates>
<double>0.0</double>
<double>-5.0</double>
<double>1.0</double>
</homogeneous_coordinates>
</point>
<point id="L2">
<homogeneous_coordinates>
<double>0.0</double>
<double>5.0</double>
<double>1.0</double>
</homogeneous_coordinates>
</point>
<line id="l">
<homogeneous_coordinates>
<double>1.0</double>
<double>0.0</double>
<double>0.0</double>
</homogeneous_coordinates>
</line>
<point id="P">
<homogeneous_coordinates>
<double>1.0</double>
<double>1.0</double>
<double>1.0</double>
</homogeneous_coordinates>
</point>
<point id="Q">
<homogeneous_coordinates>
<double>2.0</double>
<double>2.0</double>
<double>1.0</double>
</homogeneous_coordinates>
</point>
<directed_line_segment id="dls">
<homogeneous_coordinates>
<double>1.0</double>
<double>1.0</double>
<double>1.0</double>
</homogeneous_coordinates>
<homogeneous_coordinates>
<double>2.0</double>
<double>2.0</double>
<double>1.0</double>
</homogeneous_coordinates>
</directed_line_segment>
<directed_line_segment id="dls2">
<homogeneous_coordinates>
<double>-1.0</double>
<double>1.0</double>
<double>1.0</double>
</homogeneous_coordinates>
<homogeneous_coordinates>
<double>-2.0</double>
<double>2.0</double>
<double>1.0</double>
</homogeneous_coordinates>
</directed_line_segment>
<point id="sp2">
<homogeneous_coordinates>
<double>-1.0</double>
<double>1.0</double>
<double>1.0</double>
</homogeneous_coordinates>
</point>
<point id="ep2">
<homogeneous_coordinates>
<double>-2.0</double>
<double>2.0</double>
<double>1.0</double>
</homogeneous_coordinates>
</point>
<line_segment id="ls2">
<homogeneous_coordinates>
<double>-1.0</double>
<double>1.0</double>
<double>1.0</double>
</homogeneous_coordinates>
<homogeneous_coordinates>
<double>-2.0</double>
<double>2.0</double>
<double>1.0</double>
</homogeneous_coordinates>
</line_segment>
</elements>
<constraints>
<free_point>
<point out="true">L1</point>
</free_point>
<free_point>
<point out="true">L2</point>
</free_point>
<line_through_two_points>
<line out="true">l</line>
<point>L1</point>
<point>L2</point>
</line_through_two_points>
<free_point>
<point out="true">P</point>
</free_point>
<free_point>
<point out="true">Q</point>
</free_point>
<directed_line_segment_by_points>
<directed_line_segment out="true">dls</directed_line_segment>
<point>P</point>
<point>Q</point>
</directed_line_segment_by_points>
<symmetry_by_line>
<directed_line_segment out="true">dls2</directed_line_segment>
<directed_line_segment>dls</directed_line_segment>
<line>l</line>
</symmetry_by_line>
<starting_point_of_directed_line_segment>
<point out="true">sp2</point>
<directed_line_segment>dls</directed_line_segment>
</starting_point_of_directed_line_segment>
<end_point_of_directed_line_segment>
<point out="true">ep2</point>
<directed_line_segment>dls</directed_line_segment>
</end_point_of_directed_line_segment>
<line_segment_of_directed_line_segment>
<line_segment out="true">ls2</line_segment>
<directed_line_segment>dls</directed_line_segment>
</line_segment_of_directed_line_segment>
</constraints>
</construction>
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