20.500.12556/RUL-145883 Sferna geometrija magistrsko delo Spherical geometry Magistrsko delo širše obravnava osnove sferne geometrije. Poudarek je na trikotniku, kjer dokažemo pomembne identitete, ki jih uporabimo za Lambertov, Cevov in Menelajev izrek ter pravilo štirih količin. S pomočjo slednjih rezultatov pokažemo tudi nekaj osnovnih dejstev o politopih; še posebej pravilnih telesih. Tekom dela skušamo čim bolj približati motivacijo (pogosto z vidika astronomije) za formule in izreke. The master's thesis broadly discusses the basics of spherical geometry. The emphasis is on the triangle, where we prove important identities that we use for Lambert, Ceva and Menelaus's theorem and the rule of four quantities. With the help of said results we also show some basic facts about polytopes; especially Platonic solids. During the course of the work we try to bring the motivation (often from the point of astronomy) to formulas and theorems. sferna geometrija trikotnik politop spherical geometry triangle polytope true false false Slovenski jezik Angleški jezik Magistrsko delo/naloga 2023-05-17 08:15:02 2023-05-17 08:15:05 2024-05-29 10:47:03 0000-00-00 00:00:00 2023 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 514 131213 152219907 7722.pdf 7722.pdf 1 3BE250881FC6C5A1F238BB8273CB44C2 8b0a63cf11f951949623e938d2ec908615a78ec520303e793d337933a71d21a9 e8517b5d-f479-11ed-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=168950 Fakulteta za matematiko in fiziko 0 0 0