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Geometric Theorems, Diophantine Equations, And Arithmetic Functions

By: József Sándor

... American Research Press Rehoboth 2002 This book can be ordered in microfilm format from: Books on Demand ... ... ISBN: 1-931233-51-9 Standard Address Number 297-5092 Printed in the United States of America "...It is just this, which gives the hi... ...themes have an arithmetic character (as 9-12) on number theoretic problems in Geometry. Chapter 2 includes various diophantine equations, some of whic... ...bliography 1. S. Arslanagi c, D.M. Milosevi c, Problem 1827, Crux Math. (Canada) 19(1993), 78. 2. D.S. Mitrinovi c et. al., Recent advances in geom... ...ompleting this paper, we learned that Problem CMJ 354 (College Math. J. 18(1987), 248) by Alvin Tirman asks for the determination of Pythagorean trian... ...rit a, A. Annam aria Vir ag, Solved problems of Algebra ofXII th class, 1987, Univ. Cluj-Napoca (p.18). 3. J. S andor, On the diophantine equation... ... diophantine equationxy =z 2 + 1 (Romanian), Lucr. Sem. Didac- tica Mat. 4(1987-88), 265-268. 71 8 A note on the equation y 2 =x 3 + 1 It is su cient...

...equalities for the remarkable elements of triangles or tetrahedrons. Other themes have an arithmetic character (as 9-12) on number theoretic problems in Geometry. Chapter 2 includes various diophantine equations, some of which are treatable by elementary methods; others are partial solutions of certain unsolved problems. An important method is based on the famous Euler-Bel...

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