20.500.12556/DKUM-14353 NOVEJŠI REZULTATI O TETIVNIH ŠTIRIKOTNIKIH SOME NEW RESULTS ON CYCLIC QUADRILATERALS Predmet razprave diplomskega dela je tetivni štirikotnik ABCD z očrtano krožnico k ter presečiščem diagonal E. V diplomskem delu so opisani in natančno dokazani nekateri novejši rezultati o tetivnih štirikotnikih. Poseben poudarek je namenjen rezultatom, ki jih je mogoče dokazati s pomočjo koncepta polarnosti, rezultatom o značilnih točkah trikotnikov ABC, ABD, ACD in BCD, rezultatom o simetralah kotov ter rezultatom o značilnih točkah trikotnikov ABE, BCE, CDE in ADE. The main topic of this diploma thesis is the cyclic quadrilateral ABCD with the circumcircle k and the intersection of diagonals E. The diploma thesis includes a description and a concise proof of some of the newest findings concerning cyclic quadrilaterals. Particular emphasis has been placed upon findings which can be proven with the help of the polarity concept, findings concerning the distinct points of the triangles ABC, ABD, ACD, and BCD, findings about the angle bisectors, and findings concerning the distinct points of the triangles ABE, BCE, CDE, and ADE. tetivni štirikotnik polarnost pol polara diagonalne točke diagonalni trikotnik sebipolarni trikotnik cyclic quadrilateral polarity pole polar diagonal points diagonal triangle self-conjugate triangle true true false [M. Tušek Jošt] Slovenski jezik Angleški jezik Diplomsko delo 2010-06-08 23:05:07 2010-07-08 15:35:17 2022-04-12 21:57:32 2023-12-17 03:32:58 2010 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 17742856 URN:SI:UM:DK:NVIBTBHO UNI_Tusek_Jost_Maja_2010.pdf UNI_Tusek_Jost_Maja_2010.pdf 1 FA1460D8D6D981D4DAE639D6F3EC2BB6 ecd214ac03f5ec8be52b6e4e3060193934e601a56ec08365ddeb036b7458d4e0 226ead4b-7c04-11eb-bb7a-00155d0001ca 20.500.12556/dkum/6b1b775f-cdc2-4d7e-8bc9-3dc657d86868 https://dk.um.si/Dokument.php?lang=slv&id=15239 Fakulteta za naravoslovje in matematiko 0 0 0