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Krivulje konstantne širine v hiperbolični ravnini : magistrsko deloMitrović, Milan, 1963-Delo povezuje rezultate, ki se nanašajo na krivulje s konstantno širino v hiperbolični ravnini. V drugem poglavju so predstavljene osnove hiperbolične geometrije. Obravnavana je konveksnost v ... absolutni geometriji oz. skupne lastnosti konveksnih množic v evklidski in hiperbolični ravnini. V nadaljevanju so obravnavane krivulje konstantne širine v evklidski ravnini. Dokazana je ekvivaletna definicija, ki je uporabna tudi v hiperbolični geometriji. Raziskane so ustrezne lastnosti krivulj konstantne širine v hiperbolični ravnini. Šesto in sedmo poglavje obravnavata prezentacijo teh krivulj s pomočjo t. i. sledilne funkcije. Na koncu je dokazan še Barbierov izrek v hiperbolični ravnini.Type of material - master's thesis ; adult, seriousPublication and manufacture - Sevnica : [M. Mitrović], 2006Language - slovenianCOBISS.SI-ID - 14071385
Author
Mitrović, Milan, 1963-
Other authors
Košir, Tomaž, 1962-
Topics
matematika |
geometrija |
krivulja konstantne širine |
hiperbolična ravnina |
Reuleauxev trikotnik |
sledilna funkcija |
Barbierev izrek |
mathematics |
geometry |
curve of constant width |
hyperbolic plane |
Reuleaux triangle |
track function |
Barbier's theorem
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Database name | Field | Year |
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Mitrović, Milan, 1963- | ![]() |
Košir, Tomaž, 1962- | 08398 |
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