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Title:Izreki o propelerju : na študijskem programu 2. stopnje Matematika
Authors:ID Črnigoj, Karin (Author)
ID Hvala, Bojan (Mentor) More about this mentor... New window
Files:.pdf MAG_Crnigoj_Karin_2022.pdf (6,78 MB)
MD5: 0156684D7D607B1890D3A9007C8A9ACD
PID: 20.500.12556/dkum/14ce4ca7-ea42-4917-87da-10c3fe0a173e
 
Language:Slovenian
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Propeler je sestavljen geometrijski lik, ki zajema krake propelerja in središče propelerja. Začetnik obravnave propelerja je bil ameriški zobozdravnik Leon Bankoff, ki se je ljubiteljsko ukvarjal z matematiko, predvsem z elementarno geometrijo. V magistrskem delu so predstavljeni nekateri dosežki Leona Bankoffa s poudarkom na rezultatih o simetričnem in asimetričnem propelerju. Obravnavani so tudi nekateri novejši rezultati o asimetričnem propelerju.
Keywords:podobni trikotniki, skladni trikotniki, enakostranični trikotniki, Leon Bankoff, simetrični propeler, asimetrični propeler, ortološka trikotnika, paraloška trikotnika, izocentrični trikotniki
Place of publishing:Maribor
Place of performance:Maribor
Publisher:[K. Črnigoj]
Year of publishing:2022
Number of pages:VIII, 63 f.
PID:20.500.12556/DKUM-81514 New window
UDC:514.112.3(043.2)
COBISS.SI-ID:111424515 New window
Publication date in DKUM:13.06.2022
Views:774
Downloads:50
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:06.04.2022

Secondary language

Language:English
Title:Propeller theorems : magistrsko delo
Abstract:The propeller is a composite geometric figure, which includes blades and the propeller shaft. American dentist Leon Bankoff was the first who paid attention to it. Even though he was an amateur mathematician, he made many discoveries when it came to elementary geometry. In this master thesis some of Leon Bankoff's achievements are presented with emphasis on results concerning the symmetric and asymmetric propeller. The thesis also presents some recent discoveries on the asymmetric propeller.
Keywords:similar triangles, congruent triangles, equilateral triangles, Leon Bankoff, symmetric propeller, asymmetric propeller, orthologic triangles, paralogic triangles, isocentric triangle


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