engleski

Non--Euclidean versions of some classical triangle inequalities

\noindent {; ; ; ; \bf Abstract}; ; ; ; In this paper we recall and provide short proofs of some classical triangle inequalities and prove corresponding non- -Euclidean, i.e. spherical and hyperbolic versions of these inequalities. Among them are well known Euler's inequality, Rouch\' e's inequality (also called "fundamental triangle inequality"), Finsler--Hadwiger's inequality, isoperimetric inequality and others.

hyperbolic Euler's inequality; Finsler--Hadwiger's inequality

nije evidentirano