Consider a circle of radius a tangent to the y-axis and the line x = 2a, as
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Consider a circle of radius a tangent to the y-axis and the line x = 2a, as shown in the figure. Let A be the point where the segment OB intersects the circle. The cissoid of Diocles consists of all points P such that OP = AB.
(a) Find a polar equation of the cissoid.
(b) Find a set of parametric equations for the cissoid that does not contain trigonometric functions.
(c) Find a rectangular equation of the cissoid.
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