Uma nova parametrização dos ternos pitagóricos em termos de séries pares e ímpares

sábado, setembro 19, 2015

A new parameterisation of Pythagorean triples in terms of odd and even series

Anthony Overmars, Lorenzo Ntogramatzidis

(Submitted on 1 Apr 2015)

In this paper we introduce a formula that parameterises the Pythagorean triples as elements of two series. With respect to the standard Euclidean formula, this parameterisation does not generate the Pythagorean triples where the elements of the triple are all divisible by 2. A necessary and sufficient condition is also proposed for a Pythagorean triple obtained from this formula to be primitive.

Subjects: History and Overview (math.HO)

Cite as: arXiv:1504.03163 [math.HO]

(or arXiv:1504.03163v1 [math.HO] for this version)

Submission history

From: Lorenzo Ntogramatzidis [view email] 

[v1] Wed, 1 Apr 2015 11:44:12 GMT (12kb)