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Title:
Heronovi trikotniki in štirikotniki
Authors:
ID
Bunšek, Sabina
(Author)
ID
Pagon, Dušan
(Mentor)
More about this mentor...
Files:
UNI_Bunsek_Sabina_2009.pdf
(811,21 KB)
MD5: 944D6BD8A97F405D73525600AED62BE4
PID:
20.500.12556/dkum/dabdabe5-0d83-4d28-a8e5-7414f7f10c05
Language:
Slovenian
Work type:
Undergraduate thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
V diplomskem delu obravnavam Heronove trikotnike in štirikotnike, katerih stranice tvorijo aritmetično zaporedje. Opisana je tudi povezava med takšnimi trikotniki in pitagorejskimi trojicami. Pri iskanju ustreznih štirikotnikov sem uporabila teorijo racionalnih točk na eliptičnih krivuljah. V zadnjem poglavju sem podrobneje opisala še eliptične krivulje.
Keywords:
Heronov trikotnik
,
aritmetičen trikotnik
,
pitagorejske trojice
,
eliptična krivulja
Place of publishing:
Maribor
Publisher:
[S. Bunšek]
Year of publishing:
2009
PID:
20.500.12556/DKUM-9825
UDC:
51(043.2)
COBISS.SI-ID:
16751624
NUK URN:
URN:SI:UM:DK:TSEHZJVJ
Publication date in DKUM:
22.04.2009
Views:
3431
Downloads:
268
Metadata:
Categories:
PEF
FNM
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:
BUNŠEK, Sabina, 2009,
Heronovi trikotniki in štirikotniki
[online]. Bachelor’s thesis. Maribor : S. Bunšek. [Accessed 28 April 2025]. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=9825
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Secondary language
Language:
English
Title:
Heron triangles and quadrilaterals
Abstract:
In my diploma paper I present Heron triangles and quadrilaterals, whose sides form an arithmetic progression. Our attention is also focused upon the correlation among those kinds of triangles and Pythagorean triples. In order to find relevant quadrilaterals I based my research on theory about rational points on elliptic curves. The last chapter is a detailed description of elliptic curves.
Keywords:
Heron triangles
,
arithmetic triangles
,
Pythagorean triples
,
elliptic curve
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