Solved: A circle C of radius b rolls on the outside of the

Chapter 10, Problem 10.4.53

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A circle C of radius b rolls on the outside of the circle , and . Let P be a fixed point on C, andlet the initial position of P be , as shown in the figure. If the parameter t is the angle from the positive x-axis to the line segment from O to the center of C, show that parametric equations for the curve traced by P (an epicycloid) are

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