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Title:
Značilne točke trikotnika, izhajajoče iz pričrtanih krogov
Authors:
ID
Kokol, Anita
(Author)
ID
Hvala, Bojan
(Mentor)
More about this mentor...
Files:
UNI_Kokol_Anita_2012.pdf
(317,28 KB)
MD5: D3C318564DE7615BD7CD192791789BFF
PID:
20.500.12556/dkum/b677a450-3260-4a6a-a216-34677451952d
Language:
Slovenian
Work type:
Undergraduate thesis
Typology:
2.11 - Undergraduate Thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
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:
Nagelova točka
,
točka mittenpunkt
,
izogonalna konjugiranka točke mittenpunkt
,
H-Cevova konjugiranka točke I
,
Bevanova točka
,
pričrtana krožnica
,
trilinearne koordinate
,
Cevov trikotnik
,
anticevov trikotnik
Place of publishing:
Maribor
Publisher:
[A. Kokol]
Year of publishing:
2012
PID:
20.500.12556/DKUM-38902
UDC:
51(043.2)
COBISS.SI-ID:
19513864
NUK URN:
URN:SI:UM:DK:UOQVBIBK
Publication date in DKUM:
23.11.2012
Views:
2105
Downloads:
259
Metadata:
Categories:
FNM
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:
KOKOL, Anita, 2012,
Značilne točke trikotnika, izhajajoče iz pričrtanih krogov
[online]. Bachelor’s thesis. Maribor : A. Kokol. [Accessed 22 April 2025]. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=38902
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Secondary language
Language:
English
Title:
Triangle centers based on triangle excenters
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.
Keywords:
Nagel point
,
Mittenpunkt
,
Isogonal conjugate of Mittenpunkt
,
H-Ceva conjugate of I
,
Bevan point
,
excircle
,
trilinear coordinates
,
Cevian triangle
,
Anticevian triangle
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