Osječki matematički list, Vol. 9 No. 2, 2009.
Stručni rad
Pythagora's numbers and Pythagora's equation
Dominika Crnjac Milić
; Elektrotehnički fakultet, Osijek, Hrvatska
Sažetak
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.
Ključne riječi
natural relative prime numbers; Pythagora's equation; Pythagora's triple
Hrčak ID:
48338
URI
Datum izdavanja:
25.2.2010.
Posjeta: 3.705 *