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Title:Antirombi
Authors:ID Kaiser, Zala (Author)
ID Hvala, Bojan (Mentor) More about this mentor... New window
Files:.pdf MAG_Kaiser_Zala_2017.pdf (932,62 KB)
MD5: 8844234529C4EE3D10F1B51D7B90BAA5
PID: 20.500.12556/dkum/08e95525-6fe7-4a3b-b55d-e731849f0b2f
 
Language:Slovenian
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V magistrski nalogi 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:Antirombi, tangentni štirikotniki, težišče štirikotnika, perspektivna trikotnika, baricentrične koordinate
Place of publishing:Maribor
Publisher:[Z. Kaiser]
Year of publishing:2017
PID:20.500.12556/DKUM-68316 New window
UDC:514.112(043.2)
COBISS.SI-ID:23423240 New window
NUK URN:URN:SI:UM:DK:6VT9K4BR
Publication date in DKUM:27.10.2017
Views:1965
Downloads:137
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Licences

License:CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:16.09.2017

Secondary language

Language:English
Title:Antirhombi
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.
Keywords:Antirhombi, circumscribed quadrilaterals, centroid of quadrilateral, perspective triangles, barycentric coordinates


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