Lemniscate
Figure-eight-shaped curve / From Wikipedia, the free encyclopedia
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In algebraic geometry, a lemniscate (/lɛmˈnɪskɪt/ or /ˈlɛmnɪsˌkeɪt, -kɪt/)[1] is any of several figure-eight or ∞-shaped curves.[2][3] The word comes from the Latin lēmniscātus, meaning "decorated with ribbons",[4] from the Greek λημνίσκος (lēmnískos), meaning "ribbon",[3][5][6][7] or which alternatively may refer to the wool from which the ribbons were made.[2]
Curves that have been called a lemniscate include three quartic plane curves: the hippopede or lemniscate of Booth, the lemniscate of Bernoulli, and the lemniscate of Gerono. The study of lemniscates (and in particular the hippopede) dates to ancient Greek mathematics, but the term "lemniscate" for curves of this type comes from the work of Jacob Bernoulli in the late 17th century.