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Title:Diophantine Steiner triples and Pythagorean-type triangles
Authors:Hvala, Bojan (Author)
Files:URL http://forumgeom.fau.edu/FG2010volume10/FG201010.pdf
Work type:Not categorized (r6)
Typology:1.01 - Original Scientific Article
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V članku predstavimo povezavo med diofantskimi Steinerjevimi trojicami (trojicami naravnih števil, ki so povezane s konfiguracijo dveh disjunktnih krogov, od katerih večji vsebuje manjšega, pri kateri nastopi sklenjena Steinerjeva veriga) in trikotniki s celoštevilskimi stranicami in kotom 60°, 90° ali 120°. Dokažemo povezovalno formulo in jo geometrijsko interpretiramo.
Keywords:matematika, diofantske Steinerjeve trojice, Steinerjev porizem, pitagorejski trikotniki, trikotniki pitagorejskega tipa, mathematics, Diophantine Steiner triples, Steiner porism, Pythagorean triangles, Pythagorean-type triangles
Year of publishing:2010
Number of pages:str. 93-97
Numbering:Vol. 10
ISSN on article:1534-1178
COBISS_ID:15669337 Link is opened in a new window
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Record is a part of a journal

Title:Forum geometricorum
Shortened title:Forum geom.
Publisher:Dept. of Mathematical Sciences, Florida Atlantic University
COBISS.SI-ID:15669081 New window

Secondary language

Title:Diofantske Steinerjeve trojice in trikotniki pitagorejskega tipa
Abstract:We present a connection between Diophantine Steiner triples (integer triples related to configurations of two circles, the larger containing the smaller, in which the Steiner chain closes) and integer-sided triangles with an angle of 60, 90 or 120 degrrees. We introduce an explicit formula and provide a geometrical interpretation.


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