Biangular coordinates

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Biangular coordinates

In mathematics, biangular coordinates are a coordinate system for the plane where and are two fixed points, and the position of a point P not on the line is determined by the angles and [1]

The sine rule can be used to convert from biangular coordinates to two-center bipolar coordinates.


Biangular coordinates can be used in geometric modelling and CAD. [2] [3]

See also[edit]


  1. ^ Naylor, Michael; Winkel, Brian (2010), "Biangular Coordinates Redux: Discovering a New Kind of Geometry", The College Mathematics Journal, 41 (1): 29–41
  2. ^ Ziatdinov, R.; Kim, T. W.; Nabiyev, R. I. (2015), "Two-point G1 Hermite interpolation in biangular coordinates", Journal of Computational and Applied Mathematics, 287: 1–11
  3. ^ Ziatdinov, R.; Yoshida, N.; Kim, T. W. (2017), "Visualization and analysis of regions of monotonic curvature for interpolating segments of extended sectrices of Maclaurin", Computer Aided Geometric Design, 56: 35–47

External links[edit]