On Special Pairs of Pythagorean Triangles

Authors

  • S. Vidhyalakshmi

  • nts maths ig

  • presennateddy92

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.

How to Cite

On Special Pairs of Pythagorean Triangles. (2015). Global Journal of Science Frontier Research, 15(11), 57-61. https://journalofscience.org/index.php/GJSFR/article/view/

References

L. Dickson History of the Theory of Numbers: Vol. II "Diophantine Analysis". L. E. Dickson. 2.

L. Mordell (1969) Diophantine Equations. 1.

B. Stewart (1974) Theory of Numbers, 2nd edit.

Carl Boyer, Utah Merzlach A History of Mathematics.

Waclaw sierpiriski (2003) Pythagorean triangles.

M. Gopalan, A. Gnanam pairs of pythagorean triangles with equal.

M. Gopalan, G. Janaki (2008) Pythagorean triangle with area/perimeter as a special polygonal number. 27E(2), 393-402.

(2010) International Journal of Mathematical Sciences, Vol. 9(1-2), 211-215.

M. Gopalan (2008) Pythagorean Triangle with Area/ Perimeter as a special polygonal number. 5(2), 15-18.

(2013) area/perimeter as a special polygonal number",IOSR-JM, Vol. 7(3), 52-62.

M. Gopalan, V. Geetha (2013) "Pythagorean triangle with area/perimeter as a special polygonal number". 2(7), 28-34.

M. Gopalan, B. Sivakami "Pythagorean triangle with hypotenuse minus 2(area/perimeter) as a square integer". 2(2), 153-.

On Special Pairs of Pythagorean Triangles

Published

2015-03-23

How to Cite

On Special Pairs of Pythagorean Triangles. (2015). Global Journal of Science Frontier Research, 15(11), 57-61. https://journalofscience.org/index.php/GJSFR/article/view/