Colunar triangle

In spherical geometry, colunar triangles are spherical triangles which have one side in common and whose other sides belong to the same great circles.[1]

A spherical triangle has three colunar triangles. Each one is created by replacing one of the vertices of the spherical triangle with its antipodal point (i.e. the point on the sphere which is diametrically opposite it). Together, a spherical triangle and one of its colunar triangles make up a spherical lune.

Modern treatments of the subject restrict the definition to colunar triangles to spherical triangles of a particular type, namely Schwarz triangles.[2]

References

  1. ^ Casey, John (1889). A Treatise on Spherical Trigonometry, and Its Application to Geodesy and Astronomy. Dublin: Hodges, Figgis, and Co. p. 10.
  2. ^ Weisstein, Eric W. "Colunar Triangle." From MathWorld--A Wolfram Resource.


Stub icon

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.

  1. 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:
  2. 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.
  3. 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.
  4. 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.
  5. Responsible use. Any risk arising from the use of information from this website is entirely the responsibility of the user.