POINT • CIRCLE • CIRCLE

Two Tangent Circles Of The Same Size, Point In Lies In The Point Of Contact

Number of solutions: ∞

GeoGebra construction

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Steps

  1. Draw a line p1 that passes through the centers of the two circles and through point A, The line p1 is the set of points that are the centers of the circles that are solutions to the problem, the problem has infinitely many solutions
  2. To illustrate, we will show the universal solution. We determine a random point S1 that lies on the line p1 and draw a circle k1 with center at S1 and radius S1A.
  3. The solution is any circle k1 whose point lies on the line p1.