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.
Applications
Biangular coordinates can be used in geometric modelling and CAD.[2][3]
See also
References
- ^ Naylor, Michael; Winkel, Brian (2010), "Biangular Coordinates Redux: Discovering a New Kind of Geometry", The College Mathematics Journal, 41 (1): 29–41, doi:10.4169/074683410X475092
- ^ 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, doi:10.1016/j.cam.2015.02.040
- ^ 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, doi:10.1016/j.cagd.2017.06.003
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)
 | This geometry-related article is a stub. You can help Wikipedia by adding missing information. |
Content Disclaimer
Informasi ini disarikan dari Wikipedia dan disajikan kembali untuk tujuan edukasi. Konten tersedia di bawah lisensi CC BY-SA 3.0. Kami tidak bertanggung jawab atas ketidakakuratan data yang bersumber dari kontribusi publik tersebut.
- The information displayed on this website is sourced in part or in whole from Wikipedia and has been adapted for the purpose of restating it. We strive to provide accurate and relevant information, however:
- There is no guarantee of absolute accuracy. Wikipedia is an open, collaborative project that can be edited by anyone, so information is subject to change.
- It is not intended to constitute professional advice. The content displayed is for informational and educational purposes only. For important decisions (e.g., medical, legal, or financial), please consult a professional.
- Content copyright. Wikipedia is licensed under the Creative Commons Attribution-ShareAlike License (CC BY-SA). This means that content may be reused with appropriate attribution and shared under a similar license.
- Responsible use. Any risk arising from the use of information from this website is entirely the responsibility of the user.