<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>
