20.500.12556/DKUM-12519 TETIVNI ŠTIRIKOTNIKI Z DANIM VARIGNONOVIM PARALELOGRAMOM CYCLIC QUADRILATERALS WITH PRESCRIBED VARIGNON PARALLELOGRAM Pri danem štirikotniku najdemo njegov Varignonov paralelogram z razpolovitvijo stranic štirikotnika. V diplomski nalogi pa bomo pri danem paralelogramu iskali take štirikotnike, da bo dani paralelogram Varignonov paralelogram. Kasneje se bomo osredotočili na tetivne štirikotnike. Predstavili bomo dejstva o številu takih štirikotnikov ter njihovo konstrukcijo. Podali bomo primere, ko je paralelogram pravokotnik ali romb. Nekatere korake bomo nadzorneje pred- stavili s pomočjo geometrijskega programa GeoGebra. The midpoints of the sides of a given quadrilateral are the vertices of so called Varignon parallelogram. In the diploma work we consider cyclic quadrilaterals having given parallel- ogram PQRS as Varignon parallelogram. We present facts about number of cyclic quadrilaterals having given parallelogram as Varignon parallelogram. We discuss their construction. The cases when parallelogram is a rectangle or a rhombus are considered. On the basic of geometry software called GeoGebra we try to present some steps clearly. Varignonov paralelogram tetivni štirikotnik Varignon parallelogram cyclic quadrilateral. true true false [S. Podrzavnik] Slovenski jezik Angleški jezik Diplomsko delo 2009-11-23 20:34:29 2009-12-23 12:27:57 2022-04-12 07:33:57 2022-04-19 03:32:06 2009 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 17314312 URN:SI:UM:DK:FRRBUJM4 UNI_Podrzavnik_Suzana_2009.pdf UNI_Podrzavnik_Suzana_2009.pdf 1 634F2575149605C2997775123380227B 6da9dac8d17c881ad9ac50b68cf94e46d52bf17ba779e2acc0f4286d1c81c8ec 6f600933-7c03-11eb-bb7a-00155d0001ca 20.500.12556/dkum/63678752-a9d2-410f-8ca1-dac78ee462b3 https://dk.um.si/Dokument.php?lang=slv&id=12031 Fakulteta za naravoslovje in matematiko 0 0 0