Internal Tangency of Circles, Point Outside, Collinear with Centers

Number of solutions: 1

GeoGebra construction

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Steps

  1. The center of the solution circle must lie on a straight line with the given point and the centers of both given circles.
  2. It must also lie at the midpoint of the segment defined by the common tangency point of the given circles and the given point.
  3. The problem has one solution.