On Special Pairs of Pythagorean Triangles
pair of pythagorean triangles, special polygonal numbers
Abstract
We search for pairs of Pythagorean triangles such that, in each pair, twice the difference between their perimeters is expressed in terms of special polygonal numbers.
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References
L Dickson (2005) History of the Theory of Numbers: Vol. II "Diophantine Analysis". L. E. Dickson. 4(1), 107-108.
L Mordell (1969) Diophantine Equations.
B Stewart (1974) Theory of Numbers, 2 nd edit.
Carl Boyer, Utah Merzlach (1989) A History of Mathematics.
Waclaw Sierpiriski (2003) Pythagorean triangles.
M Gopalan, A Gnanam (2007) pairs of pythagorean triangles with equal perimeters. 1(2), 67-70.
M Gopalan, G Janaki (2008) Pythagorean triangle with area/perimeter as a special polygonal number. 27(2), 393-402.
M Gopalan (2008) Pythagorean Triangle with Area/ Perimeter as a special polygonal number. 7(3), 52-62.
M Gopalan (2007) Pythagorean Triangle with Area/ Perimeter as a special polygonal number. 7(3), 52-62.
J Shanthi, M Gopalan (2013) Formulation of Special Pythagorean Triangles through Integer Solutions of the Hyperbola = ( + ) +. 17(41), 4307-4312.
M Gopalan, A Gnanam (2010) Pythagorean triangles and Polygonal numbers. 9(1-2), 211-215.
K Meena, S Vidhyalakshmi, B Geetha, A Vijayasankar, M Gopalan (2008) Relations between special polygonal numbers generated through the solutions of Pythagorean equation. 5(2), 15-18.
M Gopalan, G Janaki (2008) Pythagorean triangle with perimeter as Pentagonal number. 5(2), 15-18.
M Gopalan (2013) Pythagorean Triangle with Area/ Perimeter as a special polygonal number. 7(3), 52-62.
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2015-05-04
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