POINT • CIRCLE • CIRCLE

Two Circles With Inner Contact, Point Between The Circles

Number of solutions: 3

GeoGebra construction

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Steps

We have two internally tangent circles and a point A lying between them. Draw any circle e with its center at point A. Use a circle inversion to map the circles given in the problem inside circle e. Draw tangents to the new circles from the point 3. Use a circle inversion to map these tangents outside circle e. The resulting circles are the solution to the problem.