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lemniscate

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The Collaborative International Dictionary of English v.0.48 (gcide)

Lemniscata \Lem`nis*ca"ta\ (l[e^]m`n[i^]s*k[=a]"t[.a]),
Lemniscate \Lem*nis"cate\ (l[e^]m*n[i^]s"k[asl]t), n. [L.
lemniscatus adorned with ribbons, fr. lemniscus a ribbon
hanging down, Gr. lhmni`skos.] (Geom.)
A curve in the form of the figure 8, with both parts
symmetrical, generated by the point in which a tangent to an
equilateral hyperbola meets the perpendicular on it drawn
from the center.
[1913 Webster]

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Lemniscate - Wikipedia
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
Lemniscate -- from Wolfram MathWorld
The lemniscate is the inverse curve of the hyperbola with respect to its center The lemniscate can also be generated as the envelope of circles centered on a rectangular hyperbola and passing through the center of the hyperbola (Wells 1991)
LEMNISCATE Definition Meaning - Merriam-Webster
The meaning of LEMNISCATE is a figure-eight shaped curve whose equation in polar coordinates is ρ2=a2 cos 2θ or ρ2=a2 sin 2θ
Lemniscate of Bernoulli - Wikipedia
The lemniscate of Bernoulli is a special case of the Cassini oval and is a rational algebraic curve of degree four The curve was first studied in 1694 by Jakob Bernoulli, who introduced it as a modification of an ellipse
LEMNISCATE - MATHCURVE. COM
Lemniscate is the name given, in general, to the curves shaped like an eight - the lemniscate of Gerono (), and more generally, the lemniscates of Booth - a case of the devil's curve - a case of elastic curve - a case of meander curve (lemniscate with sinusoidal curvature) - certain Alain curves - certain Rosillo curves
33 Facts About Lemniscate
A lemniscate is a mathematical symbol shaped like a figure-eight or an infinity sign (∞) This intriguing shape has fascinated mathematicians, artists, and even philosophers for centuries Its name comes from the Latin word "lemniscus," meaning ribbon, which perfectly describes its looping form
LEMNISCATE Definition Meaning | Dictionary. com
If a mathematician uses the word lemniscate, they're just using fancy math jargon to mean "shape of a sideways figure eight " When you write out the number eight and turn it on its side like an infinity symbol, it's a lemniscate
Lemniscate elliptic functions - Wikipedia
"Bernoulli's Lemniscate" Applications of Elliptic Functions in Classical and Algebraic Geometry(Thesis) University of Durham pp 50–56 Southard, Thomas H (1964) "18 Weierstrass Elliptic and Related Functions" In Abramowitz, Milton; Stegun, Irene Ann(eds ) Handbook of Mathematical Functions National Bureau of Standards pp 627–683
What does lemniscate mean? - Definitions. net
A lemniscate is a figure-eight or infinity shaped curve in a plane, originally studied by Jacob Bernoulli in 1694 Its name is derived from the Latin word "lemniscus," which means "ribbon "

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