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Title:TETIVNI ŠTIRIKOTNIKI Z DANIM VARIGNONOVIM PARALELOGRAMOM
Authors:ID Podrzavnik, Suzana (Author)
ID Hvala, Bojan (Mentor) More about this mentor... New window
Files:.pdf UNI_Podrzavnik_Suzana_2009.pdf (3,07 MB)
MD5: 634F2575149605C2997775123380227B
PID: 20.500.12556/dkum/63678752-a9d2-410f-8ca1-dac78ee462b3
 
Language:Slovenian
Work type:Undergraduate thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract: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.
Keywords:Varignonov paralelogram, tetivni štirikotnik
Place of publishing:Maribor
Publisher:[S. Podrzavnik]
Year of publishing:2009
PID:20.500.12556/DKUM-12519 New window
UDC:51(043.2)
COBISS.SI-ID:17314312 New window
NUK URN:URN:SI:UM:DK:FRRBUJM4
Publication date in DKUM:23.12.2009
Views:3482
Downloads:255
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:CYCLIC QUADRILATERALS WITH PRESCRIBED VARIGNON PARALLELOGRAM
Abstract: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.
Keywords:Varignon parallelogram, cyclic quadrilateral.


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