Professional paper

Pythagora's numbers and Pythagora's equation

Dominika Crnjac Milić ; Elektrotehnički fakultet, Osijek, Hrvatska

Abstract

One of the simplest quadratic Diophantine equations and
homogeneous equations known from long time ago is Pythagora's equation.
In the paper it will be shown that all Pythagorean integer triples are given by (2 abt, (a^2-b^2)t, (a^2+b^2)t), where $a,b,t \in \Z$,
D(a, b)=1.

Keywords

natural relative prime numbers; Pythagora's equation; Pythagora's triple

Hrčak ID:

48338

URI

https://hrcak.srce.hr/48338

Publication date:

25.2.2010.

Article data in other languages: croatian

Visits: 4.209 *