On Special Pairs of Pythagorean Triangles

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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R.Presenna

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α Bharathidasan University

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

14 Cites in Article

Reference Format

L Dickson (2005). <i>History of the Theory of Numbers: Vol. II "Diophantine Analysis"</i>. L. E. Dickson.
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.
M Gopalan,G Janaki (2008). Pythagorean triangle with area/perimeter as a special polygonal number.
M Gopalan (2008). Pythagorean Triangle with Area/ Perimeter as a special polygonal number.
M Gopalan (2007). Pythagorean Triangle with Area/ Perimeter as a special polygonal number.
J Shanthi,M Gopalan (2013). Formulation of Special Pythagorean Triangles through Integer Solutions of the Hyperbola 𝑦𝟐 = (𝑘𝟐 + 𝟐𝑘)𝑥𝟐 + 𝟏.
M Gopalan,A Gnanam (2010). Pythagorean triangles and Polygonal numbers.
K Meena,S Vidhyalakshmi,B Geetha,A Vijayasankar,M Gopalan (2008). Relations between special polygonal numbers generated through the solutions of Pythagorean equation.
M Gopalan,G Janaki (2008). Pythagorean triangle with perimeter as Pentagonal number.
M Gopalan (2013). Pythagorean Triangle with Area/ Perimeter as a special polygonal number.

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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. 2015. \u201cOn Special Pairs of Pythagorean Triangles\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F3): .

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GJSFR Volume 15 Issue F3
Pg. 57- 61

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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 April 3, 2015

Version of record

v1.2

Issue date

May 4, 2015

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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)

View Count (all-time): 211

Total Views (Real + Logic): 4291

Total Downloads (simulated): 2241

Publish Date: 2015 05, Mon

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Total Views: 4291

Total Downloads: 2241

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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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