Consider a circle of radius a tangent to the y-axis and the line x = 2a, as

Question:

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.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

Question Posted: