Conics from symmetric Pythagorean triple preserving matrices

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International Electronic Journal of Geometry
Volume:12 Issue:1
Conics from symmetric Pythagorean triple preserving matrices

Conics from symmetric Pythagorean triple preserving matrices

Pages : 85-92

View : 48 | Download : 10

Publication Date : 2019-03-27

Article Type : Research Paper

Abstract :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 insert ignore into journalissuearticles values(k; k + 3);, insert ignore into journalissuearticles values(k + 3; k);. A complex approach is also included.
Keywords : conic, Pythagorean triple preserving matrix, complex variable

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