lemniscate

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lemniscate

Lemniscate of Bernoulli. Cartesian equation: (x2 + y2)2 = a2(x2 - y2) Polar equation: r2 = a2cos(2θ). Click below to see one of the Associated curves. ,In algebraic geometry, a lemniscate is any of several figure-eight or ∞-shaped curves. The word comes from the Latin "lēmniscātus" meaning "decorated with ... ,lemniscate (plural lemniscates). The infinity symbol (∞). (mathematics) The lemniscate of Bernoulli; (mathematics) Any of a variety of quartic functions producing ... ,The lemniscate, also called the lemniscate of Bernoulli, is a polar curve whose most common form is the locus of points the product of whose distances from two ... ,Bipolar equation: (where d is the half-distance between the poles F and F', foci of the lemniscate). Tripolar equation: (O middle of F and F'). Polar equation: (with ... ,In geometry, the lemniscate of Bernoulli is a plane curve defined from two given points F1 and F2, known as foci, at distance 2a from each other as the locus of ... ,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 ... ,Lemniscate definition is - a figure-eight shaped curve whose equation in polar coordinates is ρ2=a2 cos 2θ or ρ2=a2 sin 2θ.

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lemniscate 相關參考資料
Lemniscate

Lemniscate of Bernoulli. Cartesian equation: (x2 + y2)2 = a2(x2 - y2) Polar equation: r2 = a2cos(2θ). Click below to see one of the Associated curves.

http://mathshistory.st-andrews

Lemniscate - Wikipedia

In algebraic geometry, a lemniscate is any of several figure-eight or ∞-shaped curves. The word comes from the Latin "lēmniscātus" meaning "decorated with ...

https://en.wikipedia.org

lemniscate - Wiktionary

lemniscate (plural lemniscates). The infinity symbol (∞). (mathematics) The lemniscate of Bernoulli; (mathematics) Any of a variety of quartic functions producing ...

https://en.wiktionary.org

Lemniscate -- from Wolfram MathWorld

The lemniscate, also called the lemniscate of Bernoulli, is a polar curve whose most common form is the locus of points the product of whose distances from two ...

http://mathworld.wolfram.com

Lemniscate of Bernoulli - Mathcurve

Bipolar equation: (where d is the half-distance between the poles F and F', foci of the lemniscate). Tripolar equation: (O middle of F and F'). Polar equation: (with ...

https://www.mathcurve.com

Lemniscate of Bernoulli - Wikipedia

In geometry, the lemniscate of Bernoulli is a plane curve defined from two given points F1 and F2, known as foci, at distance 2a from each other as the locus of ...

https://en.wikipedia.org

Lemniscate | Definition of Lemniscate at 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 ...

https://www.dictionary.com

Lemniscate | Definition of Lemniscate by Merriam-Webster

Lemniscate definition is - a figure-eight shaped curve whose equation in polar coordinates is ρ2=a2 cos 2θ or ρ2=a2 sin 2θ.

https://www.merriam-webster.co