On hyperbolic analogues of some classical theorems in spherical geometry

Athanase Papadopoulos (1, 2) , Weixu Su (3)

1 IRMA - Institut de Recherche Mathématique Avancée
2 Hunter College [CUNY, New York]
3 Fudan University [Shanghai]

We provide hyperbolic analogues of some classical theorems in spherical geometry due to Menelaus, Euler, Lexell, Ceva and Lambert. Some of the spherical results are also made more precise.

Mots clés: Lambert theorem.; Lexell Theorem; Euler Theorem; Ceva theorem; Menelaus Theorem; Lambert theorem; Keywords: Hyperbolic geometry; spherical geometry

Domaines: Topologie géométrique [math.GT]; Géométrie métrique [math.MG]

Athanase Papadopoulos, Weixu Su. On hyperbolic analogues of some classical theorems in spherical geometry. 2014. ⟨hal-01064449v2⟩