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- Lemniscate_of_Bernoulli abstract "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 points P so that PF1·PF2 = a2. The curve has a shape similar to the numeral 8 and to the ∞ symbol. Its name is from lemniscus, which is Latin for "pendant ribbon". It is a special case of the Cassini oval and is a rational algebraic curve of degree 4.The lemniscate was first described in 1694 by Jakob Bernoulli as a modification of an ellipse, which is the locus of points for which the sum of the distances to each of two fixed focal points is a constant. A Cassini oval, by contrast, is the locus of points for which the product of these distances is constant. In the case where the curve passes through the point midway between the foci, the oval is a lemniscate of Bernoulli. This curve can be obtained as the inverse transform of a hyperbola, with the inversion circle centered at the center of the hyperbola (bisector of its two foci). It may also be drawn by a mechanical linkage in the form of Watt's linkage, with the lengths of the three bars of the linkage and the distance between its endpoints chosen to form a crossed square.".
- Lemniscate_of_Bernoulli thumbnail Lemniscate_of_Bernoulli.svg?width=300.
- Lemniscate_of_Bernoulli wikiPageExternalLink lemniscate.shtml.
- Lemniscate_of_Bernoulli wikiPageExternalLink Lemniscate.html.
- Lemniscate_of_Bernoulli wikiPageID "250908".
- Lemniscate_of_Bernoulli wikiPageRevisionID "539738064".
- Lemniscate_of_Bernoulli hasPhotoCollection Lemniscate_of_Bernoulli.
- Lemniscate_of_Bernoulli title "Lemniscate".
- Lemniscate_of_Bernoulli urlname "Lemniscate".
- Lemniscate_of_Bernoulli subject Category:Algebraic_curves.
- Lemniscate_of_Bernoulli subject Category:Curves.
- Lemniscate_of_Bernoulli subject Category:Spiric_sections.
- Lemniscate_of_Bernoulli type Abstraction100002137.
- Lemniscate_of_Bernoulli type AlgebraicCurves.
- Lemniscate_of_Bernoulli type Attribute100024264.
- Lemniscate_of_Bernoulli type AuditoryCommunication107109019.
- Lemniscate_of_Bernoulli type Communication100033020.
- Lemniscate_of_Bernoulli type Curve113867641.
- Lemniscate_of_Bernoulli type Curves.
- Lemniscate_of_Bernoulli type Line113863771.
- Lemniscate_of_Bernoulli type Music107020895.
- Lemniscate_of_Bernoulli type Section106392001.
- Lemniscate_of_Bernoulli type Shape100027807.
- Lemniscate_of_Bernoulli type SpiricSections.
- Lemniscate_of_Bernoulli type Writing106362953.
- Lemniscate_of_Bernoulli type WrittenCommunication106349220.
- Lemniscate_of_Bernoulli comment "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 points P so that PF1·PF2 = a2. The curve has a shape similar to the numeral 8 and to the ∞ symbol. Its name is from lemniscus, which is Latin for "pendant ribbon".".
- Lemniscate_of_Bernoulli label "Lemniscaat van Bernoulli".
- Lemniscate_of_Bernoulli label "Lemniscata de Bernoulli".
- Lemniscate_of_Bernoulli label "Lemniscata di Bernoulli".
- Lemniscate_of_Bernoulli label "Lemniscata".
- Lemniscate_of_Bernoulli label "Lemniscate de Bernoulli".
- Lemniscate_of_Bernoulli label "Lemniscate of Bernoulli".
- Lemniscate_of_Bernoulli label "Lemniskata Bernoulliego".
- Lemniscate_of_Bernoulli label "Lemniskate".
- Lemniscate_of_Bernoulli label "Лемниската Бернулли".
- Lemniscate_of_Bernoulli label "レムニスケート".
- Lemniscate_of_Bernoulli label "伯努利双纽线".
- Lemniscate_of_Bernoulli sameAs Lemniskate.
- Lemniscate_of_Bernoulli sameAs Lemniscata.
- Lemniscate_of_Bernoulli sameAs Lemniscate_de_Bernoulli.
- Lemniscate_of_Bernoulli sameAs Lemniscata_di_Bernoulli.
- Lemniscate_of_Bernoulli sameAs レムニスケート.
- Lemniscate_of_Bernoulli sameAs 베르누이의_렘니스케이트.
- Lemniscate_of_Bernoulli sameAs Lemniscaat_van_Bernoulli.
- Lemniscate_of_Bernoulli sameAs Lemniskata_Bernoulliego.
- Lemniscate_of_Bernoulli sameAs Lemniscata_de_Bernoulli.
- Lemniscate_of_Bernoulli sameAs m.01l74h.
- Lemniscate_of_Bernoulli sameAs Q736896.
- Lemniscate_of_Bernoulli sameAs Q736896.
- Lemniscate_of_Bernoulli sameAs Lemniscate_of_Bernoulli.
- Lemniscate_of_Bernoulli wasDerivedFrom Lemniscate_of_Bernoulli?oldid=539738064.
- Lemniscate_of_Bernoulli depiction Lemniscate_of_Bernoulli.svg.
- Lemniscate_of_Bernoulli isPrimaryTopicOf Lemniscate_of_Bernoulli.