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Title:
TETIVNI ŠTIRIKOTNIKI Z DANIM VARIGNONOVIM PARALELOGRAMOM
Authors:
ID
Podrzavnik, Suzana
(
Author
)
ID
Hvala, Bojan
(
Mentor
)
More about this mentor...
Files:
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
UDC:
51(043.2)
COBISS.SI-ID:
17314312
NUK URN:
URN:SI:UM:DK:FRRBUJM4
Publication date in DKUM:
23.12.2009
Views:
3482
Downloads:
255
Metadata:
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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