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Dergiler / International Electronic Journal of Geometry / 2019 / Cilt: 12 - Sayı: 1

Conics from symmetric Pythagorean triple preserving matrices

Mircea CRASMAREANU
Sayfa
85–92
Yayın Tarihi
2022-10-18
DOI
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The aim of this paper is to introduce and study the class of conics provided by symmetric

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Amaç & Hipotez:The aim of this paper is to introduce and study the class of conics provided by symmetric
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Temel Bulgular & Veri:The aim of this paper is to introduce and study the class of conics provided by symmetric
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Sonuç & Katkı:The aim of this paper is to introduce and study the class of conics provided by symmetric
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:conic · Pythagorean triple preserving matrix · complex variable

Abstract

The aim of this paper is to introduce and study the class of conics provided by symmetric

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Bu Makaleye Atıf Yap

CRASMAREANU, M. (2022). Conics from symmetric Pythagorean triple preserving matrices. International Electronic Journal of Geometry, Cilt: 12 - Sayı: 1, 85–92. https://ajindex.com/articles/539624

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Kaynakça (13)

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  2. Barning, F. J. M., On Pythagorean and quasi-Pythagorean triangles and a generation process with the help of unimodular matrices (Dutch). Math. Centrum, Amsterdam, Afd. Zuivere Wisk. ZW, 1963-011, 37 p
  3. Bruening, J. T., Lohmeier, T. R. and Sebaugh, C. L., Symmetric Pythagorean triple preserving matrices. Missouri J. Math. Sci. 13 (2001), no. 1, 4-16
  4. Crasmareanu, M., A new method to obtain Pythagorean triple preserving matrices. Missouri J. Math. Sci. 14 (2002), no. 3, 149-158
  5. Crasmareanu, M., A complex approach to the gradient-type deformations of conics. Bull. Transilv. Univ. Bra¸sov, Ser. III, Math. Inform. Phys. 10(59) (2017), no. 2, 59-62
  6. Katayama, Shin-ichi, Modified Farey trees and Pythagorean triples. J. Math., Univ. Tokushima 47 (2013), 1-13
  7. Murasaki, T., On the Heronian triple (n + 1; n; n - 1) (Japanese). Sci. Rep. Fac. Educ. Gunma Univ. 52 (2004), 9-15
  8. Murru, N., Abrate, M., Barbero, S. and Cerruti, U., Groups and monoids of Pythagorean triples connected to conics. Open Math. 15 (2017), 1323-1331
  9. Palmer, L., Ahuja, M. and Tikoo, M., Finding Pythagorean triple preserving matrices. Missouri J. Math. Sci. 10 (1998), no. 2, 99-105
  10. Palmer, L., Ahuja, M. and Tikoo, M., Constructing Pythagorean triple preserving matrices. Missouri J. Math. Sci. 10 (1998), no. 3, 159-168
  11. Romik, D., The dynamics of Pythagorean triples. Trans. Am. Math. Soc. 360 (2008), no. 11, 6045-6064
  12. Tikoo, M., A note on Pythagorean triple preserving matrices. Internat. J. Math. Ed. Sci. Tech. 33 (2002), no. 6, 893-894
  13. Tikoo, M. andWang, H., Generalized Pythagorean triples and Pythagorean triple preserving matrices. Missouri J. Math. Sci. 21 (2009), no. 1, 3-12.