Non--Euclidean versions of some classical triangle inequalities (CROSBI ID 151282)
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Svrtan, Dragutin ; Veljan, Darko
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
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