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<!-- This example ilustrates extraction of segment endpoints and posterior use
ANALOGOUS WIRIS CODE:
P = point(1,1)
Q = point(3,1)
R = point(2,3)
s = segment(P,Q)
P2 = s.1
Q2 = s.2
l = line(P2,R)
m = line(Q2,R)
-->
<construction>
<elements>
<point id="P">
<homogeneous_coordinates>
<double>1</double>
<double>1</double>
<double>1</double>
</homogeneous_coordinates>
</point>
<point id="Q">
<homogeneous_coordinates>
<double>3</double>
<double>1</double>
<double>1</double>
</homogeneous_coordinates>
</point>
<point id="R">
<homogeneous_coordinates>
<double>3</double>
<double>1</double>
<double>1</double>
</homogeneous_coordinates>
</point>
<point id="P2">
<homogeneous_coordinates>
<double>1</double>
<double>1</double>
<double>1</double>
</homogeneous_coordinates>
</point>
<point id="Q2">
<homogeneous_coordinates>
<double>3</double>
<double>1</double>
<double>1</double>
</homogeneous_coordinates>
</point>
<line_segment id="s">
<homogeneous_coordinates>
<double>1</double>
<double>1</double>
<double>1</double>
</homogeneous_coordinates>
<homogeneous_coordinates>
<double>3</double>
<double>1</double>
<double>1</double>
</homogeneous_coordinates>
</line_segment>
<line id="l">
<homogeneous_coordinates>
<double>2</double>
<double>-1</double>
<double>-1</double>
</homogeneous_coordinates>
</line>
<line id="m">
<homogeneous_coordinates>
<double>2</double>
<double>1</double>
<double>-7</double>
</homogeneous_coordinates>
</line>
</elements>
<constraints>
<line_segment_by_points>
<line_segment out="true">s</line_segment>
<point>P</point>
<point>Q</point>
</line_segment_by_points>
<endpoints_of_line_segment>
<point out="true">P2</point>
<point out="true">Q2</point>
<line_segment>s</line_segment>
</endpoints_of_line_segment>
<line_through_two_points>
<line out="true">l</line>
<point>P2</point>
<point>R</point>
</line_through_two_points>
<line_through_two_points>
<line out="true">m</line>
<point>Q2</point>
<point>R</point>
</line_through_two_points>
</constraints>
</construction>
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