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32-CircleTanParLinesCircle

This page uses JavaSketchpad. You may drag any of the red points, and the construction will adjust accordingly.

Explanation of the construction: We know the center of the tangent circle has to be on the midline between the parallel lines, which also gives the radius of the circle. Then adding this radius to the given circle radius gives another locus for the center of the tangent circle, much like construction 28.

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