A Study on Extention of the Pythagorean Theorem from R to R Using the Pythagorean Triples
Year: 2025
Type: article
Abstract: The study investigates theoretically the transition of the Pythagorean theorem from \(\mathbb{R}^2\) to \(\mathbb{R}^3\) (three-dimensional space). The research shows that for any Pythagorean triples a, b and c then \(a^3+b^3+c^3=d^3\) holds. The investigation further highlights the interplay between volumes of three geometrical constructs. In other words, volume a\(^3\) plus volume b\(^3\) plus volume c\(^3\) equals volume d\(^3\).
Institution: Meru University of Science and Technology
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4413058977