High Quality Content by WIKIPEDIA articles! A serpentine curve is a curve whose equation is of the form x2y + aby ? a2x = 0, where ab > 0. Equivalently, it has a parametric representation x = acot(t),y = bsin(t)cos(t). Serpentine curves were studied by L'Hopital and Huygens, and named and classified by Newton. Christiaan Huygens, FRS was a prominent Dutch mathematician, astronomer, physicist, horologist, and writer of early science fiction. His work included early telescopic studies elucidating the nature of the rings of Saturn and the discovery of its moon Titan, the invention of the pendulum clock and other investigations in timekeeping, and studies of both optics and the centrifugal force.

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