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- Bipolar_coordinates abstract "Bipolar coordinates are a two-dimensional orthogonal coordinate system. There are two commonly defined types of bipolar coordinates. The first is based on the Apollonian circles. The curves of constant σ and of τ are circles that intersect at right angles. The coordinates have two foci F1 and F2, which are generally taken to be fixed at (−a, 0) and (a, 0), respectively, on the x-axis of a Cartesian coordinate system. The second system is two-center bipolar coordinates. There is also a third coordinate system that is based on two poles (biangular coordinates). The term "bipolar" is sometimes used to describe other curves having two singular points (foci), such as ellipses, hyperbolas, and Cassini ovals. However, the term bipolar coordinates is reserved for the coordinates described here, and never used to describe coordinates associated with those other curves, such as elliptic coordinates.".
- Bipolar_coordinates thumbnail Bipolar_isosurfaces.png?width=300.
- Bipolar_coordinates wikiPageID "1197421".
- Bipolar_coordinates wikiPageRevisionID "572737619".
- Bipolar_coordinates hasPhotoCollection Bipolar_coordinates.
- Bipolar_coordinates id "p/b016470".
- Bipolar_coordinates title "Bipolar coordinates".
- Bipolar_coordinates subject Category:Coordinate_systems.
- Bipolar_coordinates type Abstraction100002137.
- Bipolar_coordinates type Arrangement105726596.
- Bipolar_coordinates type Cognition100023271.
- Bipolar_coordinates type CoordinateSystem105728024.
- Bipolar_coordinates type CoordinateSystems.
- Bipolar_coordinates type PsychologicalFeature100023100.
- Bipolar_coordinates type Structure105726345.
- Bipolar_coordinates comment "Bipolar coordinates are a two-dimensional orthogonal coordinate system. There are two commonly defined types of bipolar coordinates. The first is based on the Apollonian circles. The curves of constant σ and of τ are circles that intersect at right angles. The coordinates have two foci F1 and F2, which are generally taken to be fixed at (−a, 0) and (a, 0), respectively, on the x-axis of a Cartesian coordinate system. The second system is two-center bipolar coordinates.".
- Bipolar_coordinates label "Bipolar coordinates".
- Bipolar_coordinates label "Système de coordonnées bipolaires".
- Bipolar_coordinates label "Биполярные координаты".
- Bipolar_coordinates label "雙極坐標系".
- Bipolar_coordinates sameAs Système_de_coordonnées_bipolaires.
- Bipolar_coordinates sameAs m.04gjdd.
- Bipolar_coordinates sameAs Q2383591.
- Bipolar_coordinates sameAs Q2383591.
- Bipolar_coordinates sameAs Bipolar_coordinates.
- Bipolar_coordinates wasDerivedFrom Bipolar_coordinates?oldid=572737619.
- Bipolar_coordinates depiction Bipolar_isosurfaces.png.
- Bipolar_coordinates isPrimaryTopicOf Bipolar_coordinates.
