On Special Pairs of Pythagorean Triangles

N.Thiruniraiselvi; M.A.Gopalan; S. Vidhyalakshmi

On Special Pairs of Pythagorean Triangles

N.Thiruniraiselvi * §

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M.A.Gopalan ‡

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S. Vidhyalakshmi §

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§ SIGC

‡ National college, Trichy

On Special Pairs of Pythagorean Triangles

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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.

References

11 Cites in Article

Reference Format

1. L. Dickson History of the Theory of Numbers: Vol. II "Diophantine Analysis". L. E. Dickson.
2. L. Mordell (1969). Diophantine Equations.
3. B. Stewart (1974). Theory of Numbers, 2nd edit.
4. Carl Boyer,Utah Merzlach (1989). A History of Mathematics.
5. M. Gopalan,A. Gnanam pairs of pythagorean triangles with equal.
6. M. Gopalan,G. Janaki (2008). Pythagorean triangle with area/perimeter as a special polygonal number. Bulletin of Pure and Applied Science, 27E(2), 393-402.
7. (2010). International Journal of Mathematical Sciences, Vol.
8. M. Gopalan (2008). Pythagorean triangle with perimeter as Pentagonal number. AntarticaJ.Math, 5(2), 15-18.
9. (2013). area/perimeter as a special polygonal number. IOSR-JM, 7(3), 52-62.
10. M. Gopalan,V. Geetha (2013). Pythagorean triangle with area/perimeter as a special polygonal number. IRJES, 2(7), 28-34.
11. M. Gopalan,B. Sivakami Pythagorean triangle with hypotenuse minus 2(area/perimeter) as a square integer. ArchimedesJ.Math, 2(2)

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

N.Thiruniraiselvi, M.A.Gopalan, S. Vidhyalakshmi. 2015. "On Special Pairs of Pythagorean Triangles". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue 11 (F3)).

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GJSFR Volume 15 Issue 11 (F3)

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 11D09

11Y50.

Submission ReceivedMarch 1, 2015
Peer Review Double Blind
Handling Editor
Accepted March 21, 2015
Published March 23, 2015

Version of record

v1.2

Issue date

March 23, 2015

Language

English

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Article Matrices

Total Score: 104

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: M.A.Gopalan, S. Vidhyalakshmi , N.Thiruniraiselvi, R.Presenna (PhD/Dr. count: 0)

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Publish Date: 2015 03, Mon

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Total Downloads: 77

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