The circles Ω and ω in its interior are fixed. The distinct points A,B,C,D,E move on Ω in such a way that the line segments AB,BC,CD,DE are tangents to ω .The lines AB and CD meet at point
P, the lines BC and DE meet at Q . Let R be the second intersection of the circles BCPand CDQ, other than C. Show that R moves either on a circle or on a line. geometryincircleMiquel point