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posted 2014-06-30 13:26:15 -0600

How do you find a parametric equation for a hypercycloid?

In section 10.4, problem number 7:

A wheel of radius 1 rolls around the outside of a circle of radius 3. A point P on the rim of the wheel traces out a curve called a hypercycloid. Assuming P starts at the point (3,0), find the parametric equations for the curve.

This isn't an assigned problem, I am just curious and I am not sure how to geometrically break this problem apart to

How do you find a parametric equation for a hypercycloid?

In section 10.4, problem number 7:

A wheel of radius 1 rolls around the outside of a circle of radius 3. A point P on the rim of the wheel traces out a curve called a hypercycloid. Assuming P starts at the point (3,0), find the parametric equations for the curve.

This isn't an assigned problem, I am just curious and I am not sure how to geometrically break this problem apart to