1Professor, Department of Mathematics, Shrimathi Indira Gandhi College, Trichy
2Assistant Professor, Department of Mathematics, Cauvery College for Women, Trichy, E. Mail:
Classification: 11D09, 11D99
Patterns of Pythagorean triangles in each of which Hypotaneous minus . Also, a few diophantine quadruples with suitable property are constructed through the linear combination among the generators of the Pythagorean triangle. The Pythagorean numbers play a significant role in the theory of higher arithmetic as they come in the majority of indeterminate problems; had a marvelous effect on a credulous people and always occupy a remarkable position due to unquestioned historical importance. The method of obtaining three non-zero integers x, y and z under certain relations satisfying the relation x2 + y2 = z2 has been a matter of interest to various Mathematicians [1], [14]-[18]. In [2]-[13], special Pythagorean problems are studied. In this communication, we search for patterns of Pythagorean triangles wherein each of which hypotaneous minus . Also, a few diophantine quadruples with suitable property are constructed through the linear combination among the generators of the Pythagorean triangle.
Area/perimeter, Pythagorean triangle, Square integer, Diophantine quadruple. Mathematical Subject
