Conics from symmetric Pythagorean triple preserving matrices

Yıl 2019, Cilt: 12 Sayı: 1, 85 - 92, 27.03.2019

Mircea Crasmareanu

https://doi.org/10.36890/iejg.545845

Cited By: 2

Öz

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

Pythagorean triple preserving matrices. This class depends on three real parameters and various

relationships between these parameters give special subclasses. A symmetric matrix of Barning

and its associated hyperbola are carefully analyzed through a pair of points of rational coordinates.

We transform and extend this latter hyperbola to a class of hyperbolas containing integral points

(k; k + 3), (k + 3; k). A complex approach is also included.

Anahtar Kelimeler

conic, Pythagorean triple preserving matrix, complex variable

Kaynakça

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