Biangular coordinates

Biangular coordinates

In mathematics, biangular coordinates are a coordinate system for the plane where $C_1$ and $C_2$ are two fixed points, and the position of a point P not on the line $\overline{C_1{C}_2}$ is determined by the angles $\mathrm{\angle }P{C}_1{C}_2$ and $\mathrm{\angle }P{C}_2{C}_1.$

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

Applications

Biangular coordinates can be used in geometric modelling and CAD.

See also

• Two-center bipolar coordinates
• Bipolar coordinates
• Sectrix of Maclaurin

External links

• G. B. M. Zerr Biangular Coordinates, American Mathematical Monthly 17 (2), February 1910
• J. C. L. Fish, Coordinates Of Elementary Surveying
• George Shoobridge Carr, A synopsis of elementary results in pure mathematics (see page 742)

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