TY - JOUR
ID - 249001
TI - On the Pythagorean triangles with an irrational hypotenuse
JO - Mathematics and Computational Sciences
JA - MCS
LA - en
SN - 2717-2708
AU - Aliyev, Tofig
AU - Pur Riza, Samir
AD - Probabilistic control methods
AD - Fuzzy economics, Control Systems Institute of Azerbaijan National Academy of Sciences (ANAS), Baku, Azerbaijan
Y1 - 2022
PY - 2022
VL - 3
IS - 1
SP - 37
EP - 41
KW - Incomplete square
KW - Pythagorean theorem
KW - Solution in integer numbers
DO - 10.30511/mcs.2021.539538.1040
N2 - 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,…}.
UR - http://mcs.qut.ac.ir/article_249001.html
L1 - http://mcs.qut.ac.ir/article_249001_0b6f456d1618940e69427d9dcce51d89.pdf
ER -