Special Pythagorean Triangles and 10 Digit Dhuruva Numbers

α
Sangeetha Prasanna
Sangeetha Prasanna
σ
Manju Somanath
Manju Somanath
ρ
V.Sangeetha
V.Sangeetha
Ѡ
M.A.Gopalan
M.A.Gopalan

Send Message

To: Author

Special Pythagorean Triangles and 10 Digit Dhuruva Numbers

Article Fingerprint

ReserarchID

R8GQ3

Special Pythagorean Triangles and 10 Digit Dhuruva Numbers Banner

AI TAKEAWAY

Connecting with the Eternal Ground
  • English
  • Afrikaans
  • Albanian
  • Amharic
  • Arabic
  • Armenian
  • Azerbaijani
  • Basque
  • Belarusian
  • Bengali
  • Bosnian
  • Bulgarian
  • Catalan
  • Cebuano
  • Chichewa
  • Chinese (Simplified)
  • Chinese (Traditional)
  • Corsican
  • Croatian
  • Czech
  • Danish
  • Dutch
  • Esperanto
  • Estonian
  • Filipino
  • Finnish
  • French
  • Frisian
  • Galician
  • Georgian
  • German
  • Greek
  • Gujarati
  • Haitian Creole
  • Hausa
  • Hawaiian
  • Hebrew
  • Hindi
  • Hmong
  • Hungarian
  • Icelandic
  • Igbo
  • Indonesian
  • Irish
  • Italian
  • Japanese
  • Javanese
  • Kannada
  • Kazakh
  • Khmer
  • Korean
  • Kurdish (Kurmanji)
  • Kyrgyz
  • Lao
  • Latin
  • Latvian
  • Lithuanian
  • Luxembourgish
  • Macedonian
  • Malagasy
  • Malay
  • Malayalam
  • Maltese
  • Maori
  • Marathi
  • Mongolian
  • Myanmar (Burmese)
  • Nepali
  • Norwegian
  • Pashto
  • Persian
  • Polish
  • Portuguese
  • Punjabi
  • Romanian
  • Russian
  • Samoan
  • Scots Gaelic
  • Serbian
  • Sesotho
  • Shona
  • Sindhi
  • Sinhala
  • Slovak
  • Slovenian
  • Somali
  • Spanish
  • Sundanese
  • Swahili
  • Swedish
  • Tajik
  • Tamil
  • Telugu
  • Thai
  • Turkish
  • Ukrainian
  • Urdu
  • Uzbek
  • Vietnamese
  • Welsh
  • Xhosa
  • Yiddish
  • Yoruba
  • Zulu

Abstract

Pythagorean triangles, each with a leg represented by 10-digit Dhuruva numbers are obtained. A few interesting results are given.

References

25 Cites in Article
  1. W Sierpinski (2003). Pythagorean triangles.
  2. M Gopalan (2008). Pythagorean Triangle with Area/ Perimeter as a special polygonal number.
  3. M Gopalan,A Vijayasankar (2010). Observations on a Pythagorean problem.
  4. M Gopalan,S Leelavathi (2008). Pythagorean triangle with area/perimeter as a square integer.
  5. M Gopalan,A Gnanam (2007). Pairs of Pythagorean triangles with equal perimeters.
  6. M Gopalan,S Leelavathi (2007). Pythagorean triangle with 2 area/perimeter as a cubic integer.
  7. M Gopalan,A Gnanam (2007). A special Pythagorean problem.
  8. M Gopalan,A Gnanam,G Janaki (2007). A Remarkable Pythagorean problem.
  9. M Gopalan,S Devibala (2006). On a Pythagorean problem.
  10. M Gopalan,B Sivakami (2013). Special Pythagorean triangles generated through the integral solutions of the equation 𝑦𝑦 2 = (𝑘𝑘 2 + 2𝑘𝑘)𝑥𝑥 2 + 1.
  11. M Gopalan,A Gnanam (2010). Pythagorean triangles and Polygonal numbers.
  12. K Meena,S Vidhyalakshmi,B Geetha,A Vijayasankar,M Gopalan (2008). Relations between special polygonal numbers generated through the solutions of Pythagorean equation.
  13. M Gopalan,G Janaki (2008). Pythagorean triangle with perimeter as Pentagonal number.
  14. M Gopalan (2010). Pythagorean Triangle with Area/ Perimeter as a special polygonal number.
  15. M Gopalan,K Manjusomanath,Geetha (2013). Pythagorean triangle with area/perimeter as a special polygonal number.
  16. M Gopalan,V Geetha (2013). Pythagorean triangle with area/perimeter as a special polygonal number.
  17. M Gopalan (2012). Pythagorean Triangle with Area/ Perimeter as a special polygonal number.
  18. Bert Miller (1980). Nasty numbers.
  19. Charles Bown,. (1981). Reader Reflections: Reactions to Articles and Points of View on the Teaching of Mathematics.
  20. P Sastry (2001). Jarasandha numbers.
  21. M Gopalan,V Sangeetha,Manjusomanath (2013). Pythagorean triangle and Polygonal number.
  22. M Gopalan,G Janaki (2008). pythagorean triangle with nasty number as a leg.
  23. M Gopalan (2008). Pythagorean Triangle with Area/ Perimeter as a special polygonal number.
  24. M Gopalan,S Vidhyalakshmi,E Premalatha,R Presenna (2014). Special Pythagorean triangles and 5 digit dhuruva numbers.
  25. Mita Dr,Darbari (2014). A connection between Hardy-Ramanujan number and special Pythagorean triangle.

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

Sangeetha Prasanna. 2015. \u201cSpecial Pythagorean Triangles and 10 Digit Dhuruva Numbers\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F5): .

Download Citation

Issue Cover
GJSFR Volume 15 Issue F5
Pg. 13- 18
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 11D09, 11Y50, 11-04.
Version of record

v1.2

Issue date

July 1, 2015

Language
en
Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

Article Matrices
Total Views: 4154
Total Downloads: 2093
2026 Trends
Related Research

Published Article

Pythagorean triangles, each with a leg represented by 10-digit Dhuruva numbers are obtained. A few interesting results are given.

Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]

Request Access

Please fill out the form below to request access to this research paper. Your request will be reviewed by the editorial or author team.
X

Quote and Order Details

Contact Person

Invoice Address

Notes or Comments

This is the heading

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

High-quality academic research articles on global topics and journals.

Special Pythagorean Triangles and 10 Digit Dhuruva Numbers

Manju Somanath
Manju Somanath
V.Sangeetha
V.Sangeetha
M.A.Gopalan
M.A.Gopalan

Research Journals