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Matemtički kolokvijumPublisher: Naučno društvo matematičara Banja Luka, Banja LukaISSN: 0354-6969Issue: XX (1)Date: 2014Journal Homepage Editorial BoardImpressum   A new class relations 5 - 14 Daniel A. Romano   AbstractKeywords: relation; quasi-normal relation; dually quasi-normal relationMSC: 03E20, 06B11, 20M20 Euclid's algorithm for determining the greatest common divisor 15 - 25 Bernadin Ibrahimpašić and Karmelita Pjanić   AbstractKeywords: Euclidean algorithm; greatest common divisors; mathematics educationMSC: 11A05, 97B99 Linear congruences and systems of linear congruence 27 - 36 Bernadin Ibrahimpašić and Senka Ibrahimpašić   AbstractKeywords: linear congruences; system of linear congruences; Chinese remainder theorem; Euclidean algorithm. Six proofs of one theorem on regular 15-gon 37 - 46 Aleksandar Sredojević and Dragoljub Milošević   AbstractKeywords: 15-gon; side and diagonals of regular 15-gon; similar triangles; sine law; addition formulas for sine; Ptolemy's theorem; Mollweid's formulasMSC: 51M04, 97G40 Generalizations of some theorems for the regular polygons 47 - 50 Aleksandar Sredojević and Dragoljub Milošević   AbstractKeywords: regular polygon; side and diagonals of regular polygons; sine law; addition formulas for sine and cosineMSC: 51M04, 97G40 An Interesting Method for Proving Inequalities 51 - 58 Šefket Arslanagić   AbstractKeywords: method for proving; algebraic inequality between arithmetic and geometric means; Nesbitt's inequalityMSC: 97F50

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