On the Pythagorean triangles with an irrational hypotenuse
عنوان مقاله: On the Pythagorean triangles with an irrational hypotenuse
شناسه ملی مقاله: JR_JMCS-3-1_006
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_JMCS-3-1_006
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Tofig Aliyev - Probabilistic control methods
Samir Pur Riza - Fuzzy economics, Control Systems Institute of Azerbaijan National Academy of Sciences (ANAS), Baku, Azerbaijan
خلاصه مقاله:
Tofig Aliyev - Probabilistic control methods
Samir Pur Riza - Fuzzy economics, Control Systems Institute of Azerbaijan National Academy of Sciences (ANAS), Baku, Azerbaijan
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^۲+y^۲=z^n,n=۲,۳,۴,.. always has an solution (x,y,z) in integer numbers x,y,z∈Z={۰,±۱,±۲,…}.
کلمات کلیدی: Incomplete square, Pythagorean theorem, Solution in integer numbers
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1402948/