Journal of Siberian Federal University. Mathematics & Physics / On Sharygin Triangles with Commensurable Angles

Full text (.pdf)
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