<construction>
	<elements>
		<point id="C">
			<homogeneous_coordinates>
				<double>0</double>
				<double>0</double>
				<double>1</double>
			</homogeneous_coordinates>
		</point>
		<point id="A">
			<homogeneous_coordinates>
				<double>-1</double>
				<double>1</double>
				<double>1</double>
			</homogeneous_coordinates>
		</point>
		<point id="P">
			<homogeneous_coordinates>
				<double>2</double>
				<double>0</double>
				<double>1</double>
			</homogeneous_coordinates>
		</point>
		<circle id="c">
			<matrix>
				<double>1</double>
				<double>0</double>
				<double>0</double>
				<double>0</double>
				<double>1</double>
				<double>0</double>
				<double>0</double>
				<double>0</double>
				<double>-2</double>
			</matrix>
		</circle>
		<line id="t1">
			<homogeneous_coordinates>
				<double>1</double>
				<double>1</double>
				<double>-2</double>
			</homogeneous_coordinates>
		</line>
		<line id="t2">
			<homogeneous_coordinates>
				<double>1</double>
				<double>-1</double>
				<double>2</double>
			</homogeneous_coordinates>
		</line>
	</elements>
	<constraints>
		<circle_by_center_and_point>
			<circle out="true">c</circle>
			<point>C</point>
			<point>A</point>
		</circle_by_center_and_point>
		<circle_tangent_lines_by_point>
			<line out="true">t1</line>
			<line out="true">t2</line>
			<circle>c</circle>
			<point>P</point>
		</circle_tangent_lines_by_point>
	</constraints>
</construction>

