Because of the circular nature of the polar coordinate system, many curves can be described by a rather simple polar equation, whereas their Cartesian form is much more intricate.
12.
Where \ theta is the angle formed by the horizontal and the center of the rolling circle ( these are not polar equations because \ theta is not the polar angle ).
13.
Then the curve in the plane to which the conic section of eccentricity " ? " is unwrapped is a generalized conic with polar equation as specified in the definition.
14.
:I should note that if you think about the shape, it's a well known polar equation ( that I can't remember the name of ! ! ) It looks like a circle with one side partially flattened.
