Suppose you have two circles, one with radius r1 centered at the origin, and
one with radius r2 centered at (r1 + r2 ; 0). Thus, the circles have the point P = (r1 ; 0) in
common. Suppose the circle with radius r2 begins rolling counterclockwise along the outside
of the other circle. As the circle rotates, the point that was originally at P will also rotate,
tracing out a path in the plane. Find parametric equations for this path.
Anybody that gets this right I will fan and medal!

Question

Suppose you have two circles, one with radius r1 centered at the origin, and 
one with radius r2 centered at (r1 + r2 ; 0). Thus, the circles have the point P = (r1 ; 0) in 
common. Suppose the circle with radius r2 begins rolling counterclockwise along the outside 
of the other circle. As the circle rotates, the point that was originally at P will also rotate, 
tracing out a path in the plane. Find parametric equations for this path.
 Anybody that gets this right I will fan and medal!