Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Lemniscate_of_Bernoulli> ?p ?o }
- 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.This 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.".
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- Lemniscate_of_Bernoulli wikiPageWikiLink Algebraic_curve.
- Lemniscate_of_Bernoulli wikiPageWikiLink Antiparallelogram.
- Lemniscate_of_Bernoulli wikiPageWikiLink Arc_length.
- Lemniscate_of_Bernoulli wikiPageWikiLink C._F._Gauss.
- Lemniscate_of_Bernoulli wikiPageWikiLink Carl_Friedrich_Gauss.
- Lemniscate_of_Bernoulli wikiPageWikiLink Cartesian_coordinate_system.
- Lemniscate_of_Bernoulli wikiPageWikiLink Cassini_oval.
- Lemniscate_of_Bernoulli wikiPageWikiLink Category:Algebraic_curves.
- Lemniscate_of_Bernoulli wikiPageWikiLink Category:Curves.
- Lemniscate_of_Bernoulli wikiPageWikiLink Category:Spiric_sections.
- Lemniscate_of_Bernoulli wikiPageWikiLink Circle.
- Lemniscate_of_Bernoulli wikiPageWikiLink Complex_multiplication.
- Lemniscate_of_Bernoulli wikiPageWikiLink Disquisitiones_Arithmeticae.
- Lemniscate_of_Bernoulli wikiPageWikiLink Distance.
- Lemniscate_of_Bernoulli wikiPageWikiLink Ellipse.
- Lemniscate_of_Bernoulli wikiPageWikiLink Elliptic_function.
- Lemniscate_of_Bernoulli wikiPageWikiLink Elliptic_integral.
- Lemniscate_of_Bernoulli wikiPageWikiLink Equation.
- Lemniscate_of_Bernoulli wikiPageWikiLink Fundamental_pair_of_periods.
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- Lemniscate_of_Bernoulli wikiPageWikiLink Gausss_constant.
- Lemniscate_of_Bernoulli wikiPageWikiLink Geometry.
- Lemniscate_of_Bernoulli wikiPageWikiLink Hippopede.
- Lemniscate_of_Bernoulli wikiPageWikiLink Hyperbola.
- Lemniscate_of_Bernoulli wikiPageWikiLink Imaginary_unit.
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- Lemniscate_of_Bernoulli wikiPageWikiLink Inversive_geometry.
- Lemniscate_of_Bernoulli wikiPageWikiLink Jacob_Bernoulli.
- Lemniscate_of_Bernoulli wikiPageWikiLink Jakob_Bernoulli.
- Lemniscate_of_Bernoulli wikiPageWikiLink Latin.
- Lemniscate_of_Bernoulli wikiPageWikiLink Lemniscate.
- Lemniscate_of_Bernoulli wikiPageWikiLink Lemniscate_of_Booth.
- Lemniscate_of_Bernoulli wikiPageWikiLink Lemniscate_of_Gerono.
- Lemniscate_of_Bernoulli wikiPageWikiLink Lemniscatic_case.
- Lemniscate_of_Bernoulli wikiPageWikiLink Lemniscatic_elliptic_function.
- Lemniscate_of_Bernoulli wikiPageWikiLink Linkage_(mechanical).
- Lemniscate_of_Bernoulli wikiPageWikiLink Locus_(mathematics).
- Lemniscate_of_Bernoulli wikiPageWikiLink Mathematical_constant.
- Lemniscate_of_Bernoulli wikiPageWikiLink Mechanical_linkage.
- Lemniscate_of_Bernoulli wikiPageWikiLink Parametric_equation.
- Lemniscate_of_Bernoulli wikiPageWikiLink Period_lattice.
- Lemniscate_of_Bernoulli wikiPageWikiLink Polar_coordinate_system.
- Lemniscate_of_Bernoulli wikiPageWikiLink Polar_coordinates.
- Lemniscate_of_Bernoulli wikiPageWikiLink Quasi-one-dimensional_models.
- Lemniscate_of_Bernoulli wikiPageWikiLink Rational_trigonometry.
- Lemniscate_of_Bernoulli wikiPageWikiLink Square_root_of_minus_one.
- Lemniscate_of_Bernoulli wikiPageWikiLink Two-center_bipolar_coordinates.
- Lemniscate_of_Bernoulli wikiPageWikiLink Watts_linkage.
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- Lemniscate_of_Bernoulli wikiPageWikiLinkText "Lemniscate of Bernoulli".
- Lemniscate_of_Bernoulli wikiPageWikiLinkText "lemniscate of Bernoulli".
- Lemniscate_of_Bernoulli wikiPageWikiLinkText "lemniscate".
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- Lemniscate_of_Bernoulli title "Lemniscate".
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- Lemniscate_of_Bernoulli subject Category:Algebraic_curves.
- Lemniscate_of_Bernoulli subject Category:Curves.
- Lemniscate_of_Bernoulli subject Category:Spiric_sections.
- Lemniscate_of_Bernoulli hypernym Curve.
- Lemniscate_of_Bernoulli type Album.
- Lemniscate_of_Bernoulli type Variety.
- 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 "Lemniscate of Bernoulli".
- Lemniscate_of_Bernoulli sameAs Lemniskaat_van_Bernoulli.
- Lemniscate_of_Bernoulli sameAs Лемниската_на_Бернули.
- Lemniscate_of_Bernoulli sameAs Lemniscata.
- Lemniscate_of_Bernoulli sameAs Lemniskate.
- Lemniscate_of_Bernoulli sameAs Lemniscata.
- Lemniscate_of_Bernoulli sameAs Bernoullin_lemniskaatta.
- Lemniscate_of_Bernoulli sameAs Lemniscate_de_Bernoulli.
- Lemniscate_of_Bernoulli sameAs Bernoullijeva_lemniskata.
- Lemniscate_of_Bernoulli sameAs Lemniszkáta.
- 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 Lemnìscata_ëd_Bernoulli.
- Lemniscate_of_Bernoulli sameAs Lemniscata_de_Bernoulli.
- Lemniscate_of_Bernoulli sameAs m.01l74h.
- Lemniscate_of_Bernoulli sameAs Lemniscata_lui_Bernoulli.
- Lemniscate_of_Bernoulli sameAs Лемниската_Бернулли.
- Lemniscate_of_Bernoulli sameAs Bernoullijeva_lemniskata.
- Lemniscate_of_Bernoulli sameAs Бернулијева_лемниската.
- Lemniscate_of_Bernoulli sameAs Bernoullis_lemniskata.