Sferna geometrija

magistrsko delo

Bor Bregant (Author), Aleš Vavpetič (Mentor)

Abstract

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.

Keywords

matematika;sferna geometrija;trikotniki;politopi;

Data

Language:	Slovenian
Year of publishing:	2023
Typology:	2.09 - Master's Thesis
Organization:	UL FMF - Faculty of Mathematics and Physics
Publisher:	[B. Bregant]
UDC:	514
COBISS:	152219907
Views:	435
Downloads:	83
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Spherical geometry
Secondary abstract:	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.
Secondary keywords:	mathematics;spherical geometry;triangle;polytope;
Type (COBISS):	Master's thesis/paper
Study programme:	0
Embargo end date (OpenAIRE):	1970-01-01
Thesis comment:	Univ. v Ljubljani, Fak. za matematiko in fiziko, Oddelek za matematiko, Pedagoška matematika
Pages:	IX, 46 str.
ID:	18937206