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<!-- This file is to illustrate the use of the element ray and constraint ray_from_point_and_vector.
It still has not been run on any DGS, so it may contain bugs.
r is the ray starting at A following vector v; v is the vector from P to Q
-->
<construction xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="../xml/intergeo.xsd">
<elements>
<point id="A">
<homogeneous_coordinates>
<double>-1.0</double>
<double>1.0</double>
<double>1.0</double>
</homogeneous_coordinates>
</point>
<point id="P">
<homogeneous_coordinates>
<double>1.0</double>
<double>0.0</double>
<double>1.0</double>
</homogeneous_coordinates>
</point>
<point id="Q">
<homogeneous_coordinates>
<double>2.0</double>
<double>1.0</double>
<double>1.0</double>
</homogeneous_coordinates>
</point>
<vector id="v">
<homogeneous_coordinates>
<double>1.0</double>
<double>1.0</double>
<double>1.0</double>
</homogeneous_coordinates>
</vector>
<ray id="r">
<homogeneous_coordinates>
<double>-1.0</double>
<double>1.0</double>
<double>1.0</double>
</homogeneous_coordinates>
<direction>
<double>1.0</double>
<double>1.0</double>
<double>1.0</double>
</direction>
</ray>
</elements>
<constraints>
<free_point>
<point out="true">A</point>
</free_point>
<free_point>
<point out="true">P</point>
</free_point>
<free_point>
<point out="true">Q</point>
</free_point>
<vector_from_point_to_point>
<vector out="true">v</vector>
<point>P</point>
<point>Q</point>
</vector_from_point_to_point>
<ray_from_point_and_vector>
<ray out="true">r</ray>
<point>A</point>
<vector>v</vector>
</ray_from_point_and_vector>
</constraints>
</construction>
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