diplomsko delo
Brigita Oglajner (Author), Bojan Hvala (Mentor)

Abstract

V prvem delu diplomskega dela smo formulirali osnovno verzijo izreka o sedmih krožnicah in na kratko opisali sorodne različice le-tega. Nato smo se v drugem in tretjem delu poglobili v dva bistveno zelo različna dokaza. Rabinowitzev dokaz ima za osnovo Cevov izrek, Cundyjev dokaz temelji na uporabi kompleksnih števil.

Keywords

matematika;Cevov izrek;daljice;konkurentnost;inverzija;kompleksna števila;geometrija;diplomska dela;

Data

Language: Slovenian
Year of publishing:
Source: Maribor
Typology: 2.11 - Undergraduate Thesis
Organization: UM FNM - Faculty of Natural Sciences and Mathematics
Publisher: [B. Oglajner]
UDC: 51(043.2)
COBISS: 17580296 Link will open in a new window
Views: 2472
Downloads: 134
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Other data

Secondary language: English
Secondary title: THE SEVEN-CIRCLES THEOREM
Secondary abstract: In the first part of the Graduation Theisis we introduce the basic version of the Seven circles theorem and present some possible generalizations. In the second and the third part we present two essentially different proofs of this theorem. Rabinowitz's proof is based on Ceva's theorem. Cundy's proof of the same theorem, is based on the use of complex numbers.
Secondary keywords: Ceva's theorem;concurrent lines;inversion;complex numbers in geometry.;
URN: URN:SI:UM:
Type (COBISS): Undergraduate thesis
Thesis comment: Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages: 43 f.
Keywords (UDC): mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;
ID: 18463
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