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Title:Trikotniki v kvadratih
Authors:ID Pačnik, Matija (Author)
ID Hvala, Bojan (Mentor) More about this mentor... New window
Files:.pdf UN_Pacnik_Matija_2015.pdf (1,01 MB)
MD5: FD4CA0EA642C7EE82EEAFFB2B6439020
 
Language:Slovenian
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
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:trikotnik, kvadrat, trikotniki v kvadratih, ekstremalni problemi v geometriji
Place of publishing:Maribor
Publisher:[M. Pačnik]
Year of publishing:2015
PID:20.500.12556/DKUM-47193 New window
UDC:514.112.3(043.2)
COBISS.SI-ID:21192456 New window
NUK URN:URN:SI:UM:DK:OKP8JKRO
Publication date in DKUM:26.02.2015
Views:1895
Downloads:146
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:Triangles in squares
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.
Keywords:triangle, square, triangles in squares, extremal problems in geometry


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