Let P be a point at a distance d from the center of a circle of radius r. The curve
Chapter 10, Problem 40(choose chapter or problem)
Let P be a point at a distance d from the center of a circle of radius r. The curve traced out by P as the circle rolls along a straight line is called a trochoid. (Think of the motion of a point on a spoke of a bicycle wheel.) The cycloid is the special case of a trochoid with d r. Using the same parameter as for the cycloid, and assuming the line is the x-axis and 0 when P is at one of its lowest points, show
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