Solved: The astronomer Giovanni Cassini (16251712) studied
Chapter 9, Problem 9.3.66(choose chapter or problem)
The astronomer Giovanni Cassini (16251712) studied the family of curves with polar equations where and are positive real numbers. These curves are called the ovals of Cassini even though they are oval shaped only for certain values of and . (Cassini thought that these curves might represent planetary orbits better than Keplers ellipses.) Investigate the variety of shapes that these curves may have. In particular, how are and related to each other when the curve splits into two parts?
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