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intersection_points_of_two_circles

Declares that two points (argument points) are the intersection of two circles.

intersection_points_of_two_circles(P1,P2,c1,c2) where the P1 and P2 are points and c1 and c2 are circles (or elements of circle_family).

Three scenarios arise:

  • The circles intersect in two different points. Then, each argument point corresponds to one different solution. This symbol does not specify how this is done (the order is undefined).
  • The circles intersect in one point. Then, one of the two argument points corresponds with the intersection. The other argument point is undefined; a DGS might decide to define the two argument points to be equal to the single intersection.
  • The circles do not intersect. Both argument points are undefined. Note that a DGS might decide to define the argument points to be the complex solutions.
See also other_intersection_point_of_two_circles and Intersection of extended elements.

  1. intersection of circles and line example: source JSXGraph