called a lemniscate include three quartic plane curves: the hippopede or lemniscate of Booth, the lemniscate of Bernoulli, and the lemniscate of Gerono. The...
9 KB (1,096 words) - 19:34, 10 December 2024
lemniscate of Gerono, or lemniscate of Huygens, or figure-eight curve, is a plane algebraic curve of degree four and genus zero and is a lemniscate curve...
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versions are studied in quasi-one-dimensional models. Lemniscate of Booth Lemniscate of Gerono Lemniscate constant Lemniscatic elliptic function Cassini oval...
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pendulum Lemniscate of Gerono Plane curves Spirograph Wikimedia Commons has media related to Lissajous curves. Lawrence, J.D. (1972). A Cataloge of Special...
17 KB (1,897 words) - 09:19, 15 July 2025
Kampyle of Eudoxus Kappa curve Lemniscate Lemniscate of Booth Lemniscate of Gerono Lemniscate of Bernoulli Limaçon Cardioid Limaçon trisectrix Ovals of Cassini...
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Camille-Christophe Gerono (1799 in Paris, France – 1891 in Paris) was a French mathematician. He concerned himself above all with geometry. The Lemniscate of Gerono or...
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curve Lemniscate of Booth Lemniscate of Gerono Lemniscate of Bernoulli Limaçon Cardioid Limaçon trisectrix Trifolium curve[citation needed] Quintic of l'Hospital...
46 KB (3,545 words) - 22:21, 19 July 2025
Viviani's curve (section Properties of the curve)
projection of Viviani's curve onto a plane perpendicular to the line through the crossing point and the sphere center is the lemniscate of Gerono, while the...
8 KB (1,425 words) - 15:07, 15 May 2025
example of a non-orientable surface; that is, informally, a one-sided surface which, if traveled upon, could be followed back to the point of origin while...
20 KB (2,874 words) - 14:38, 22 June 2025
In algebraic geometry, a quartic plane curve is a plane algebraic curve of the fourth degree. It can be defined by a bivariate quartic equation: A x 4...
8 KB (1,382 words) - 09:23, 7 June 2025
curve Devil's curve Hippopede Kampyle of Eudoxus Kappa curve Lemniscate of Booth Lemniscate of Gerono Lemniscate of Bernoulli Limaçon Cardioid Limaçon trisectrix...
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Newton's theorem about ovals (redirect from Newton's theorem of ovals)
then there are counterexamples, such as triangles or one of the lobes of Huygens lemniscate y2 = x2 − x4, while Arnold (1989) pointed that if "oval" an...
5 KB (640 words) - 07:42, 26 April 2025