lemniscate

[lem-nis-kit, lem-nis-keyt, -kit]

noun

Analytic Geometry.

1. 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. Equation: r 2 = 2 a 2 cosθ.

lemniscate

/ ˈlɛmnɪskɪt /

noun

1. a closed plane curve consisting of two symmetrical loops meeting at a node. Equation: ( x ² + y ²)² = a ²( x ² – y ²), where a is the greatest distance from the curve to the origin. The symbol for infinity (∞) is an example

Word History and Origins

Origin of lemniscate¹

First recorded in 1775–85, lemniscate is from the Latin word lēmniscātus adorned with ribbons. See lemniscus, -ate ¹

Example Sentences

Our bodies in motion are defined by a unified alchemy of speed and direction, as we trace parabolas, lemniscates, trident curves, Poinsot’s spirals, and trajectories that have no mathematical names.

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We have now reached the last of the groups as arranged on Sir William Crookes' lemniscates, that forming the "neutral" column; it is headed by helium, which is sui generis.

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Blavatsky, as to how the chemical elements were deposited by a spiral evolutive force, a creative impulse working outward in the form of a caduceus or lemniscate, or figure '8.'

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Some projective-geometrical considerations concerning the lemniscate are to be found in the previously mentioned writings of G. Adams and L. Locher-Ernst.

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B. Thus we have tabulated in all 65 chemical elements, or chemical atoms, completing three of Sir William Crookes' lemniscates, sufficient for some amount of generalization.

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