Trikotniki v kvadratih

diplomsko delo

Matija Pačnik (Author), Bojan Hvala (Mentor)

Abstract

V diplomskem delu bomo poiskali najmanjši možen kvadrat, ki očrta podan poljuben trikotnik. Ugotovili smo, da obstajajo trije različni načini, kako so trikotniki postavljeni v kvadratu. Imenovali jih bomo diagonalni, ogliščni in stranični kvadrat. Nato te kvadrate primerjamo med sabo in ugotovimo, za katere pogoje je posamezni kvadrat najmanjši. V nadaljevanju te ugotovitve združimo v eno matematično pravilo. V zaključku predstavimo spletno aplikacijo, ki izriše najmanjši kvadrat, ki vsebuje dan trikotnik.

Keywords

diplomska dela;trikotnik;kvadrat;trikotniki v kvadratih;ekstremalni problemi;geometrija;

Data

Language:	Slovenian
Year of publishing:	2015
Typology:	2.11 - Undergraduate Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[M. Pačnik]
UDC:	514.112.3(043.2)
COBISS:	21192456
Views:	1204
Downloads:	87
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Triangles in squares
Secondary abstract:	In this graduation thesis we find the smallest possible square that outlines any given triangle. We find that there are three different ways in which are triangles placed in a square. Hereafter called diagonal, vertex and side square. Then these squares are compared with each other and we determine the conditions, which then gives us the smallest square. These findings are combined into a single mathematical rule. At the end we preset web application, which draws minimal square that contains a given triangle.
Secondary keywords:	theses;triangle;square;triangles in aquares;extremal problems;geometry;
URN:	URN:SI:UM:
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages:	IX, 40 f.
ID:	8702818