- Issue
- Journal of Siberian Federal University. Mathematics & Physics. Prepublication
- Authors
- Osipov, Nikolai N.
- Contact information
- Osipov, Nikolai N. : Siberian Federal University Krasnoyarsk, Russian Federation; OCRID: 0000-0002-8894-609X
- Keywords
- Sharygin triangle; trigonometric diophantine equation
- Abstract
By a simple method we prove the following conjecture on Sharygin triangles: there is only one Sharygin triangle (up to similarity) whose angles are pairwise commensurable. Additionally, a similar result is proved on triangles with pairwise commensurable angles and two equal angle bisectors
- Pages
- 721–732
- EDN
- BJITNS
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/157502
Journal of Siberian Federal University. Mathematics & Physics / On Sharygin Triangles with Commensurable Angles
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