One of the most interesting outcomes of this investigation has to do with the locus of the center point (point Q) of the tangent circle. Look at the image below, specifically at the segments PQ and QR. Click on the image to observe the nature of the line segments. I have measured their lengths as a hint. Once you watched the animation, create an idea of what geometric figure will be produced by the center point (pt. Q) by moving the location of the tangent circle around the original circle.
Click Here to continue the investigation.