Bipolar coordinates are a two-dimensional orthogonal coordinate system based on the Apollonian circles. Confusingly, the same term is also sometimes used...
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In mathematics, two-center bipolar coordinates is a coordinate system based on two coordinates which give distances from two fixed centers c 1 {\displaystyle...
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Bipolar cylindrical coordinates are a three-dimensional orthogonal coordinate system that results from projecting the two-dimensional bipolar coordinate...
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List of common coordinate transformations (redirect from Transformation from spherical coordinates to rectangular coordinates)
(x,y)} be the standard Cartesian coordinates, and ( r , θ ) {\displaystyle (r,\theta )} the standard polar coordinates. x = r cos θ y = r sin θ ∂ (...
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poles of a star Bipolar coordinates, a two-dimensional orthogonal coordinate system Bipolar set, a derivative of a polar set Bipolar theorem, a theorem...
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Toroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional bipolar coordinate system about...
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Apollonian circles (section Bipolar coordinates)
family orthogonally, and vice versa. These circles form the basis for bipolar coordinates. They were discovered by Apollonius of Perga, a renowned Greek geometer...
10 KB (1,223 words) - 01:13, 11 March 2024
Radical axis (section Relation to bipolar coordinates)
of a system of bipolar coordinates. In that case, the radical axis is simply the y {\displaystyle y} -axis of this system of coordinates. Every circle...
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Elliptic coordinate system (redirect from Elliptic coordinates)
the momenta). Curvilinear coordinates Ellipsoidal coordinates Generalized coordinates Bipolar coordinates "Elliptic coordinates", Encyclopedia of Mathematics...
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Bispherical coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional bipolar coordinate system...
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Bipolar disorder is an affective disorder characterized by periods of elevated and depressed mood. The cause and mechanism of bipolar disorder is not...
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biangular coordinates to two-center bipolar coordinates. Biangular coordinates can be used in geometric modelling and CAD. Two-center bipolar coordinates Bipolar...
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circles that pass through both foci. These circles form the basis of bipolar coordinates. The circles of Apollonius of a triangle are three circles, each...
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|z-c||z+c|=c^{2}} In two-center bipolar coordinates: r r ′ = c 2 {\displaystyle rr'=c^{2}} In rational polar coordinates: Q = 2 s − 1 {\displaystyle Q=2s-1}...
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known as polargraph or Kritzler is a plotter which uses two-center bipolar coordinates to produce vector drawings using a pen suspended from strings connected...
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En Cartesian chart Euclidean plane E2 Bipolar coordinates Biangular coordinates Two-center bipolar coordinates Euclidean space E3 Polar spherical chart...
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In mathematics, orthogonal coordinates are defined as a set of d coordinates q = ( q 1 , q 2 , … , q d ) {\displaystyle \mathbf {q} =(q^{1},q^{2},\dots...
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with 3 defining points surface with 6 defining points Two-center bipolar coordinates Cassini Cohen 1962. Basset p. 163 Lawden "Cassini oval - Encyclopedia...
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Hamilton–Jacobi equation is separable in both spherical coordinates and parabolic coordinates, as described below. Maximally superintegrable systems follow...
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HVDC Troll (category Lists of coordinates)
The HVDC Troll is a bipolar high-voltage direct current (HVDC) electric power transmission line for the supply of the gas compressor station on the offshore...
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Orthogonality Radical axis Power center (geometry) Apollonian circles Bipolar coordinates Chaplick, Steven; Förster, Henry; Kryven, Myroslav; Wolff, Alexander...
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HVDC Three Gorges – Guangdong (category Lists of coordinates)
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The HVDC...
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was at the young age of 14 (almost 15). Cassini oval Two-center bipolar coordinates O'Connor, John J.; Robertson, Edmund F., "Cartesian Oval", MacTutor...
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two fixed points. (As an aside, this definition is the basis of bipolar coordinates.) Thus, the solutions to Apollonius' problem are the intersections...
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TransWest Express (category Lists of coordinates)
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The TransWest...
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shape. Circle Circle anatomy Annulus (mathematics) Area of a disk Bipolar coordinates Central angle Circular sector Circular segment Circumference Concentric...
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HVDC Three Gorges – Changzhou (category Lists of coordinates)
The HVDC Three Gorges – Changzhou is an 940-kilometre (580 mi) long bipolar HVDC transmission line in China for the transmission of electric power from...
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HVDC Tjæreborg (category Lists of coordinates)
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The HVDC...
2 KB (155 words) - 04:32, 9 March 2023
HVDC Inter-Island (category Lists of coordinates)
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The HVDC...
54 KB (6,705 words) - 08:11, 18 April 2024
HVDC Visby–Näs (category Lists of coordinates)
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The HVDC...
1 KB (134 words) - 11:19, 19 October 2021