20.500.12556/DKUM-13617 IZREK O SEDMIH KROŽNICAH THE SEVEN-CIRCLES THEOREM 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. 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. Cevov izrek konkurentnost daljic inverzija kompleksna števila v geometriji. Ceva's theorem concurrent lines inversion complex numbers in geometry. true true false [B. Oglajner] Slovenski jezik Angleški jezik Diplomsko delo 2010-04-06 13:16:50 2010-05-13 14:13:47 2022-04-12 11:20:54 2023-12-16 03:22:54 2010 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 17580296 URN:SI:UM:DK:P0QHXYDY UNI_Oglajner_Brigita_2010.pdf UNI_Oglajner_Brigita_2010.pdf 1 684CEDB914503D327790BB5572BAED92 0b53c034c384854e217df60302e12eb267425824eb43764318b31097a6b6f3d5 f2e9c40b-7c03-11eb-bb7a-00155d0001ca 20.500.12556/dkum/9459351b-e942-44e4-b9a6-e99d73a39d2d https://dk.um.si/Dokument.php?lang=slv&id=13928 Fakulteta za naravoslovje in matematiko 0 0 0