Classical theorems on hyperbolic triangles from a projective point of view

Szilasi, Zoltán2024-09-042024-09-042012-06-01Teaching Mathematics and Computer Science, Vol. 10 No. 1 (2012) , 175-1811589-7389https://hdl.handle.net/2437/379721Using the Cayley-Klein model of hyperbolic geometry and the tools of projective geometry, we present elementary proofs for the hyperbolic versions of some classical theorems on triangles. We show, in particular, that hyperbolic triangles have no Euler line.application/pdfCayley-Klein planehyperbolic trianglesEuler lineClassical theorems on hyperbolic triangles from a projective point of viewfolyóiratcikkOpen AccessZoltán Szilasihttps://doi.org/10.5485/TMCS.2012.0301Teaching Mathematics and Computer Science110Teach. Math. Comp. Sci.2676-8364