@article {
author = {Aliyev, Tofig and Pur Riza, Samir},
title = {On the Pythagorean triangles with an irrational hypotenuse},
journal = {Mathematics and Computational Sciences},
volume = {3},
number = {1},
pages = {37-41},
year = {2022},
publisher = {Qom University of Technology},
issn = {2717-2708},
eissn = {27172708},
doi = {10.30511/mcs.2021.539538.1040},
abstract = {The paper investigates a number of incomplete exact roots of a series of natural numbers, in relation to the Pythagorean theorem that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the legs. It uses the fact that the equation x^2+y^2=z^n,n=2,3,4,.. always has an solution (x,y,z) in integer numbers x,y,z∈Z={0,±1,±2,…}.},
keywords = {Incomplete square,Pythagorean theorem,Solution in integer numbers},
url = {http://mcs.qut.ac.ir/article_249001.html},
eprint = {http://mcs.qut.ac.ir/article_249001_0b6f456d1618940e69427d9dcce51d89.pdf}
}