POINT • CIRCLE • CIRCLE

Two Tangent Circles Of Different Sizes, Point Lies On The Common Tangent Line Which Passes Through The Tangent Point Of The Circles

Number of solutions: 2

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Steps

  1. This task will be solved using a set of points which can be used to draw a hyperbola. Lets two draw lines through point C and the points A and B respectively. Name the intersections of these lines.
  2. Find the centerpoint between these intersections and the point C. These points are on the desired hyperbola.
  3. Using one center of a circle and the point C as focus points and a point from step two which lies on the hyperbola construct a hyperbola. Repeat this for all four of the points constructed in step two - four hyperbolas should be constructed.
  4. The intersections of these hyperbolas are the centers of the wanted circles. Call these points S1 and S2.
  5. Draw the final circles with their center in points S1 and S2 respectively and passing through point C.
  6. Continue using the process of solving the circle, circle, point solutions.

GeoGebra construction

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Steps

  1. Chybí postup