<?xml version="1.0"?>
<!--
	Intergeo File Format Version 1.00.20080731
	written by Yves Kreis
-->
<construction>
	<elements>
		<point id="A">
			<homogeneous_coordinates>
				<complex>
					<double>0.0</double>
					<double>1.0</double>
				</complex>
				<complex>
					<double>0.0</double>
					<double>1.0</double>
				</complex>
				<complex>
					<double>0.0</double>
					<double>1.0</double>
				</complex>
			</homogeneous_coordinates>
		</point>
		<point id="B">
			<euclidean_coordinates>
				<double>2.0</double>
				<double>2.0</double>
			</euclidean_coordinates>
		</point>
		<point id="C">
			<polar_coordinates>
				<double>4.242640687119285</double>
				<double>0.785398163397448</double>
			</polar_coordinates>
		</point>
		<point id="D">
			<homogeneous_coordinates>
				<complex>
					<double>2.0</double>
					<double>1.0</double>
				</complex>
				<complex>
					<double>4.0</double>
					<double>1.0</double>
				</complex>
				<complex>
					<double>1.0</double>
					<double>1.0</double>
				</complex>
			</homogeneous_coordinates>
		</point>
		<line id="a">
			<homogeneous_coordinates>
				<double>1.0</double>
				<double>1.0</double>
				<double>-6.0</double>
			</homogeneous_coordinates>
		</line>
		<line id="b">
			<homogeneous_coordinates>
				<complex>
					<double>2.0</double>
					<double>1.0</double>
				</complex>
				<complex>
					<double>0.0</double>
					<double>0.0</double>
				</complex>
				<complex>
					<double>-4.0</double>
					<double>1.0</double>
				</complex>
			</homogeneous_coordinates>
		</line>
		<line id="c">
			<homogeneous_coordinates>
				<complex>
					<double>0.0</double>
					<double>-1.0</double>
				</complex>
				<complex>
					<double>0.0</double>
					<double>1.0</double>
				</complex>
				<complex>
					<double>0.0</double>
					<double>-2.0</double>
				</complex>
			</homogeneous_coordinates>
		</line>
		<line id="d">
			<homogeneous_coordinates>
				<complex>
					<double>0.0</double>
					<double>1.0</double>
				</complex>
				<complex>
					<double>0.0</double>
					<double>1.0</double>
				</complex>
				<complex>
					<double>0.0</double>
					<double>-8.0</double>
				</complex>
			</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>
		<free_point>
			<point out="true">D</point>
		</free_point>
		<line_through_point>
			<line out="true">a</line>
			<point>C</point>
		</line_through_point>
		<free_line>
			<line out="true">b</line>
		</free_line>
		<line_parallel_to_line>
			<line out="true">c</line>
			<line>a</line>
		</line_parallel_to_line>
		<line_perpendicular_to_line>
			<line out="true">d</line>
			<line>a</line>
		</line_perpendicular_to_line>
	</constraints>
</construction>
