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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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英文字典中文字典相关资料:

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, also called the lemniscate of Bernoulli, is a polar curve defined as the locus of points such that the product of distances from two fixed points (-a,0) and (a,0) (which can be considered a kind of foci with respect to multiplication instead of addition) is a constant a^2
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 - Michigan State University
The general properties of the lemniscate were discovered by G Fagnano in 1750 (MacTutor Archive) Gauss's and Euler's investigations of the Arc Length of the curve led to later work on Elliptic Functions
Lemniscate - MIT OpenCourseWare
Lemniscate The curve described in polar coordinates by r2 = cos(2θ) is called a lemniscate a) For what values of θ does there exist such a point (r, θ)? b) For what values of θ is r at its minimum length? c) For what values of θ is r at its maximum length?
LEMNISCATE Definition Meaning | Dictionary. com
LEMNISCATE definition: a plane curve generated by the locus of the point at which a variable tangent to a rectangular hyperbola intersects a perpendicular from the center to the tangent

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