Tetivni štirikotniki z danim Varignonovim paralelogramom

diplomsko delo

Suzana Podrzavnik (Author), Bojan Hvala (Mentor)

Abstract

Pri danem štirikotniku najdemo njegov Varignonov paralelogram z razpolovitvijo stranic štirikotnika. V diplomskem delu 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 nazorneje predstavili s pomočjo geometrijskega programa GeoGebra.

Keywords

matematika;tetivni štirikotniki;Varignonov paralelogram;diplomska dela;

Data

Language:	Slovenian
Year of publishing:	2009
Source:	Maribor
Typology:	2.11 - Undergraduate Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[S. Podrzavnik]
UDC:	51(043.2)
COBISS:	17314312
Views:	2773
Downloads:	190
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	CYCLIC QUADRILATERALS WITH PRESCRIBED VARIGNON PARALLELOGRAM
Secondary 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 parallelogram 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.
Secondary keywords:	Varignon parallelogram;cyclic quadrilateral.;
URN:	URN:SI:UM:
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages:	45 f.
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;
ID:	18227