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As the angle varies the x-coordinate of each point is calculated as the factor (here 6.5) times
the sine times the cosine divided by the angle. The y-coordinate is calculated as the factor
times the sine times the sine divided by the angle.  Progressively higher order cochleoids
involve multiplying by increasing powers of the sine. Wallis seemed well on his way to a
distinguished career as a theologian and cryptographer when he fell in love with Susanna
Glyde. He married her March 16, 1645. To do so, he had to resign his fellowship.   
a
second-order
cochleoid
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