The second system is two-center bipolar coordinates.
2.
These circles form the basis for bipolar coordinates.
3.
Geometric interpretation of the bipolar coordinates.
4.
Observed in the plane of constant azimuthal angle ?, toroidal coordinates are equivalent to bipolar coordinates.
5.
This family of hodographs corresponds to one family of Apollonian circles, and the ? isosurfaces of bipolar coordinates.
6.
This follows because the system of circles is equivalent to a set of Apollonian circles, forming a bipolar coordinate system.
7.
These two pencils of Apollonian circles intersect each other at right angles and form the basis of the bipolar coordinate system.
8.
If you're really worried how about just using bipolar coordinates ? talk ) 12 : 18, 30 November 2008 ( UTC)
9.
However, the term " bipolar coordinates " is never used to describe coordinates associated with those curves, e . g ., elliptic coordinates.
10.
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.
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