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.
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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 ).
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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.
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: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.
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