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Matemtički kolokvijumPublisher: Naučno društvo matematičara Banja Luka, Banja LukaISSN: 0354-6969Issue: XIX (1)Date: 2013Journal Homepage Editorial BoardImpressum   Različite metode dokazivanja jedne teoreme o pravilnom jedanaestouglu 5 - 10 Dragoljub Milošević and Borisav Simić   AbstractKeywords: pravilni jedanaestougao; stranica i dijagonale pravilnog jedanaestougla; slični trouglovi; lema; Ptolemejeva teorema; sinusna teorema; pretvaranje razlike kosinusa u proizvod; analitička geometrijaMSC: 51M04, 97G40 Construction of an Interesting Commutative Semigroup 11 - 16 Daniel A. Romano   AbstractKeywords: semigroup; internal binary operation; partial order; compatibilityMSC: 03E02, 03E20, 20M14 About one cyclic algebraic inequality 17 - 23 Šefket Arslanagić   AbstractKeywords: cyclic algebraic inequality; mathematical induction; generalisation; special cases of inequality; Nesbitt's inequalityMSC: 97F50 Šefket Arslanagić 25 - 46 Daniel A. Romano   AbstractKeywords:  Miscellaneous proofs of one theorem for the regular 15-gon 47 - 56 Dragoljub Milošević   AbstractKeywords: regular 15-gon; diagonals of regular 15-gon; equilateral triangle; parallelogram; isosceles trapezoid; Pythagorean and Ptolemy's theorem; Mollweide's formula, cosine law, complex numbersMSC: 51M04, 97G40 Innovation and reconstructions of mathematical - historical subjects matter in function breaking of formalism in the mathematics teaching 57 - 65 Đoko G. Marković   AbstractKeywords: geometric polyformism; methodical innovations; historisal-reconstructive elements in teaching

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