Bipolar coordinates are a two-dimensional orthogonal coordinate system based on the Apollonian circles. There is also a third system, based on two poles...

mathematics, two-center bipolar coordinates is a coordinate system based on two coordinates which give distances from two fixed centers c 1 {\displaystyle...

biangular coordinates to two-center bipolar coordinates. Biangular coordinates can be used in geometric modelling and CAD. Two-center bipolar coordinates Bipolar...

Bipolar cylindrical coordinates are a three-dimensional orthogonal coordinate system that results from projecting the two-dimensional bipolar coordinate...

Bispherical coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional bipolar coordinate system...

Toroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional bipolar coordinate system about...

Maxwell 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...

z − c | | z + c | = c 2 {\displaystyle |z-c||z+c|=c^{2}} In two-center bipolar coordinates: r r ′ = c 2 {\displaystyle rr'=c^{2}} The determination of...

plotter which uses two-center bipolar coordinates to produce vector drawings using a pen suspended from strings connected to two pulleys at the top of...

for bipolar coordinates. They were discovered by Apollonius of Perga, a renowned ancient Greek geometer. The Apollonian circles are defined in two different...

curve with 3 defining points surface with 6 defining points Two-center bipolar coordinates Cassini Cohen 1962. Basset p. 163 Lawden "Cassini oval - Encyclopedia...

bounding the disk. Orthogonality Radical axis Power center (geometry) Apollonian circles Bipolar coordinates Chaplick, Steven; Förster, Henry; Kryven, Myroslav;...

En Cartesian chart Euclidean plane E2 Bipolar coordinates Biangular coordinates Two-center bipolar coordinates Euclidean space E3 Polar spherical chart...

from the center). Another example is (slow) fluid in a straight circular pipe: in Cartesian coordinates, one has to solve a (difficult) two dimensional...

Bipolar disorder is a mood disorder characterized by alternating periods of manic (elevated) and depressed mood. While the exact cause and mechanism of...

Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The TransWest...

Winnipeg. There are no intermediate switching stations or taps. All three bipolar systems have extensive ground return electrodes to allow use in monopolar...

outreach, bipolar support group, National Alliance for the Mentally Ill and Child Attention Deficit Disorder 24-hour central intake center Outpatient...

congression. Depolymerization of microtubules generates tension at kinetochores; bipolar attachment of sister kinetochores to microtubules emanating from opposite...

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...

hospital's first patients were suffering from smallpox, syphilis, and acute bipolar disorder. In 1798, the hospital's governors announced the hospital's priorities...

to Northern California in 1967 and was hospitalized multiple times for bipolar disorder and schizophrenia. Sullivan died in 1977. Following the capture...

The Boomerang Nebula (canonical name ) is a pulsar-wind bipolar reflection nebula located approximately 5,000 light-years from Earth in the constellation...

commonwealth of Pennsylvania. It is served by two exits on Interstate 579. The initial David L. Lawrence Convention Center was completed on the site on February...

Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) Electric...

Psychologists hired by the defense believed Loukaitis had either depression or bipolar disorder, while prosecution witness Dr. Alan Unis, a professor of psychiatry...

seemingly untouched. Lam had previously been diagnosed with an extreme form of bipolar disorder and was known for displaying similar psychotic behaviour in the...

\end{aligned}}} Separation of the Hamilton–Jacobi equation in these coordinates yields the two equivalent equations 2 ξ p ξ 2 − m k − m E ξ = − Γ , 2 η p η 2...

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...

transmission line, using Cartesian coordinates, and the two-wire transmission line, using bipolar cylindrical coordinates. In the "microscopic" version of...