Mathematica Eterna
Open Access

Abstract

Lorentzian Pythagorean Triples and Lorentzian Unit Circle

Gula ¨ y KORU YUCEKA ¨ YA, Kevser AKTAS and Yusuf YAYLI

Pythagorean triples on Lorentzian plane is that the differences of the squares of the sides of a right triangle equals the square of the hypotenuse. The edges of the right triangles are called Pythagorean triples when they are whole numbers. The study of these Pythagorean triples [1] began long before the time of Pythagoras. Babylonians and ancient Egypt also used these triples.In this study, we observe the relationship between Pythagorean triples and rational coordinates on Lorentzian unit circle