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<!-- This example illustrates the constraints
other_intersection_point_of_circle_and_line
and other_intersection_point_of_two_circles
Equivalent WIRIS code:
A = point(-4,0)
B = point(4,0)
C = point(0,-3)
a = circumference(A,distance(A,C))
b = circumference(B,distance(B,C))
F = point(-10,-3)
l = line(F,C)
D = other_intersection_point_of_two_circles(C,a,b)
E = other_intersection_point_of_circle_and_line(C,b,l)
-->
<construction xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="../xml/intergeo.xsd">
<elements>
<point id="A">
<homogeneous_coordinates>
<double>-4</double>
<double>0</double>
<double>1</double>
</homogeneous_coordinates>
</point>
<point id="B">
<homogeneous_coordinates>
<double>4</double>
<double>0</double>
<double>1</double>
</homogeneous_coordinates>
</point>
<point id="C">
<homogeneous_coordinates>
<double>0</double>
<double>-3</double>
<double>1</double>
</homogeneous_coordinates>
</point>
<point id="D">
<homogeneous_coordinates>
<double>0</double>
<double>3</double>
<double>1</double>
</homogeneous_coordinates>
</point>
<point id="E">
<homogeneous_coordinates>
<double>8</double>
<double>-3</double>
<double>1</double>
</homogeneous_coordinates>
</point>
<point id="F">
<homogeneous_coordinates>
<double>-6</double>
<double>-3</double>
<double>1</double>
</homogeneous_coordinates>
</point>
<circle id="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>
<circle id="b">
<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>
<line id="l">
<homogeneous_coordinates>
<double>0</double>
<double>1</double>
<double>3</double>
</homogeneous_coordinates>
</line>
</elements>
<constraints>
<circle_by_center_and_point>
<circle out="true">a</circle>
<point>A</point>
<point>C</point>
</circle_by_center_and_point>
<circle_by_center_and_point>
<circle out="true">b</circle>
<point>B</point>
<point>C</point>
</circle_by_center_and_point>
<line_through_two_points>
<line out="true">l</line>
<point>F</point>
<point>C</point>
</line_through_two_points>
<other_intersection_point_of_two_circles>
<point out="true">D</point>
<point>C</point>
<circle>a</circle>
<circle>b</circle>
</other_intersection_point_of_two_circles>
<other_intersection_point_of_circle_and_line>
<point out="true">E</point>
<point>C</point>
<circle>b</circle>
<line>l</line>
</other_intersection_point_of_circle_and_line>
</constraints>
</construction>
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