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Title:
IZREK O SEDMIH KROŽNICAH
Authors:
ID
Oglajner, Brigita
(
Author
)
ID
Hvala, Bojan
(
Mentor
)
More about this mentor...
Files:
UNI_Oglajner_Brigita_2010.pdf
(1,35 MB)
MD5: 684CEDB914503D327790BB5572BAED92
PID:
20.500.12556/dkum/9459351b-e942-44e4-b9a6-e99d73a39d2d
Language:
Slovenian
Work type:
Undergraduate thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
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 pa temelji na uporabi kompleksnih števil.
Keywords:
Cevov izrek
,
konkurentnost daljic
,
inverzija
,
kompleksna števila v geometriji.
Place of publishing:
Maribor
Publisher:
[B. Oglajner]
Year of publishing:
2010
PID:
20.500.12556/DKUM-13617
UDC:
51(043.2)
COBISS.SI-ID:
17580296
NUK URN:
URN:SI:UM:DK:P0QHXYDY
Publication date in DKUM:
13.05.2010
Views:
3439
Downloads:
182
Metadata:
Categories:
FNM
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Secondary language
Language:
English
Title:
THE SEVEN-CIRCLES THEOREM
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.
Keywords:
Ceva's theorem
,
concurrent lines
,
inversion
,
complex numbers in geometry.
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