Pythagorean triangles and addition of nonagonal, triangular numbers

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Abstract

Oblong numbers as figurate numbers, which were first studied by the Pythagoreans are studied in terms of
special Pythagorean Triangles. The two consecutive sides and their perimeters of Pythagorean triangles are
investigated. In this study, the perimeter of Pythagorean triangles is obtained as addition of nonagonal and
triangular numbers.

Keywords:

Nonagonal numbers,, Triangle numbers, Pythagorean Triangles, Diophantine equation.

Mathematics Subject Classification:

Mathematics
  • D. Ramprasad Department of Mathematics, A.V.V.M Sri Pushpam College (Autonomous), Poondi-613503, Tamil Nadu, India.
  • Pages: 639-640
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

D. Ramprasad. “Pythagorean Triangles and Addition of Nonagonal, Triangular Numbers”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 639-40, https://www.malayajournal.org/index.php/mjm/article/view/1101.