Article Per Year (5 Year)
p-Index From 2021 - 2026
0.23
P-Index
This Author published in this journals
All Journal Polyhedron International Journal in Mathematics Education
Roy, Probir
Unknown Affiliation
Education Mathematics

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

 1 
A critical study on the length of Pythagoras’ hypotenuse for unit square Roy, Probir
Polyhedron International Journal in Mathematics Education Vol. 3 No. 1 (2025): pijme
Publisher : Nashir Al-Kutub Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59965/pijme.v3i1.162

Abstract

This study included the geometric, algebraic, and arithmetic measurement of one-dimensional length for an important ancient theorem in mathematical history, named Pythagoras’ theorem, for a unit square. In this paper, we also tried to disclose a rigorous evaluation for the Pythagorean hypotenuses, which were founded incomplete square numbers by us through classical construction instead of considering flexible arithmetic approximation (root extraction) and incommensurable abstract algebraic point of view. Every conscious math reader knows that the characteristic of a theorem is that it produces true results, and the characteristic of a formula is that it may give approximate mathematical results. The much-discussed Pythagorean relation for the side of a right triangle does not satisfy the aspirations of mathematicians to measure the hypotenuse of a unit square, which remains elusive. Therefore, in some cases, this formula exhibits limitations in providing complete results in order to maintain the properties of a theorem.
Co-Authors