LORENTZIAN PYTHAGOREAN TRIPLES and LORENTZIAN UNIT CIRCLE

Pythagorean triples on Lorentzian plane is that the dierences of the squares of the sides of a right triangle equals the square of the hy- potenuse. 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.