Antirombi

magistrsko delo

Zala Kaiser (Author), Bojan Hvala (Mentor)

Abstract

V magistrskem delu bomo predstavili definicijo in osnovne lastnosti štirikotnika, ki ni romb, ki mu pravimo antiromb. To je štirikotnik očrtan krožnici s središčem v težišču štirikotnika. Potem bomo 'odrezali' trikotnik ABC s premico, da bomo dobili antiromb. Pokazali bomo, da obstajajo tri premice, ki skupaj s stranicami trikotnika ABC, tvorijo šestkotnik, očrtan včrtani krožnici trikotnika ABC.

Keywords

magistrska dela;antirombi;tangentni štirikotniki;težišče štirikotnika;perspektivna trikotnika;baricentrične koordinate;

Data

Language:	Slovenian
Year of publishing:	2017
Typology:	2.09 - Master's Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[Z. Kaiser]
UDC:	514.112(043.2)
COBISS:	23423240
Views:	1007
Downloads:	96
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Antirhombi
Secondary abstract:	In masters thesis we will give the definition and some properties of the non-rhombus quadrilateral called antirhombus. That is quadrilateral, circumscribed around a circle with center the centroid of the quadrilateral. Then we will cut a triangle ABC with a line to form an antirhombus. We will also prove that there are three such lines forming with the sides of triangle ABC an hexagon circumscribed around the incircle of triangle ABC.
Secondary keywords:	master theses;antirhombi;circumscribed quadrilaterals;centroid of quadrilateral;perspective triangels;barycentric coordinates;
URN:	URN:SI:UM:
Type (COBISS):	Master's thesis/paper
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages:	51 f., [2] f. pril.
ID:	10864637