diplomsko delo
Anita Kokol (Author), Bojan Hvala (Mentor)

Abstract

V diplomskem delu obravnavamo značilne točke trikotnika, ki so definirane s pomočjo pričrtanih krogov, kot so Nagelova točka, točka mittenpunkt, izogonalna konjugiranka točke mittenpunkt, H-Cevova konjugiranka točke I in Bevanova točka. Izkaže se, da so obravnavane točke posebni primeri splošnejšega pojma P-Cevove konjugiranke točke Q (pri danih točkah P in Q), ki ga v delu tudi predstavimo.

Keywords

matematika;Nagelova točka;točka mittenpunkt;Bevanova točka;pričrtana krožnica;Cevov trikotnik;anticevov trikotnik;izogonalna konjugiranka;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: [A. Kokol]
UDC: 51(043.2)
COBISS: 19513864 Link will open in a new window
Views: 1575
Downloads: 224
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Other data

Secondary language: English
Secondary title: Triangle centers based on triangle excenters
Secondary abstract: In the graduation thesis we consider the triangle centers defined by triangle excenters as Nagel point, Mittenpunkt, Isogonal conjugate of Mittenpunkt, H-Ceva conjugate of I and Bevan point. It turns out that the points aforementioned are special cases of a more general concept of P-Ceva conjugate of Q (at given points P and Q). We show that results further on in the thesis.
Secondary keywords: Nagel point;Mittenpunkt;Isogonal conjugate of Mittenpunkt;H-Ceva conjugate of I;Bevan point;excircle;trilinear coordinates;Cevian triangle;Anticevian triangle;
URN: URN:SI:UM:
Type (COBISS): Undergraduate thesis
Thesis comment: Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages: 56 f.
Keywords (UDC): mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;
ID: 8762288
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