<?xml version="1.0" ?>
<!--
	GEONExT I2G Export Copyright (C) 2009 by GEONExT Group
-->
<construction>
	<elements>
		<point id="A">
			<euclidean_coordinates>
				<double>5.22</double>
				<double>0.52</double>
			</euclidean_coordinates>
		</point>
		<point id="B">
			<euclidean_coordinates>
				<double>7.54</double>
				<double>-3.46</double>
			</euclidean_coordinates>
		</point>
		<line id="a">
			<euclidean_coordinates>
				<double>5.22</double>
				<double>0.52</double>
			</euclidean_coordinates>
			<euclidean_coordinates>
				<double>7.54</double>
				<double>-3.46</double>
			</euclidean_coordinates>
		</line>
		<point id="C">
			<euclidean_coordinates>
				<double>10.06</double>
				<double>-0.76</double>
			</euclidean_coordinates>
		</point>
		<line id="b">
			<homogeneous_coordinates>
				<double>1</double>
				<double>0</double>
				<double>1</double>
			</homogeneous_coordinates>
		</line>
		<point id="D">
			<euclidean_coordinates>
				<double>7.004393388242832</double>
				<double>-2.5411576229338246</double>
			</euclidean_coordinates>
		</point>
		<circle id="c_a">
			<matrix>
				<double>1</double>
				<double>0</double>
				<double>4</double>
				<double>0</double>
				<double>1</double>
				<double>0</double>
				<double>4</double>
				<double>0</double>
				<double>-9</double>
			</matrix>
		</circle>
		<point id="E">
			<euclidean_coordinates>
				<double>10.06</double>
				<double>-0.7599999999999987</double>
			</euclidean_coordinates>
		</point>
		<point id="F">
			<euclidean_coordinates>
				<double>3.9487867764856666</double>
				<double>-4.322315245867652</double>
			</euclidean_coordinates>
		</point>
	</elements>
	<constraints>
		<free_point>
			<point out="true">A</point>
		</free_point>
		<free_point>
			<point out="true">B</point>
		</free_point>
		<line_through_two_points>
			<line out="true">a</line>
			<point>A</point>
			<point>B</point>
		</line_through_two_points>
		<free_point>
			<point out="true">C</point>
		</free_point>
        
        <line_perpendicular_to_line_through_point>
			<line out="true">b</line>
			<line>a</line>
			<point>C</point>
		</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>
       
        
		<point_intersection_of_two_lines>
			<point out="true">D</point>
			<line>a</line>
			<line>b</line>
		</point_intersection_of_two_lines>
        <circle_by_center_and_point>
            <circle out="true">c_a</circle>
            <point>D</point>
            <point>C</point>
        </circle_by_center_and_point>
        <intersection_points_of_circle_and_line>
            <point out="true">E</point>
            <point out="true">F</point>
            <circle>c_a</circle>
            <line>b</line>
        </intersection_points_of_circle_and_line>
	</constraints>
</construction>

