Problem of Apollonius, CCP Problem

Two circles c1 and c2, and a point P are given. All circles which are tangent to the given circles and pass through the given point shall be constructed.

You can drag the centers of c1 and c2 or the point P, and vary the radii (with pressed mouse button). For each type of solution, you can decide, whether the solution circle is to be drawn. The total number of solutions is indicated on the bottom right.

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