Similarity of Triangles and Intercept Theorem in Elamite Mathematics

TL;DR

This paper explores the use of triangle similarity and intercept theory in Elamite mathematics, revealing that Susa scribes applied these concepts to solve complex equations, indicating advanced mathematical understanding.

Contribution

It demonstrates that Susa scribes understood and utilized intercept theory in their mathematical practices, a novel insight into ancient Elamite mathematics.

Findings

Susa scribes employed triangle similarity in their calculations.

Intercept theory was used to solve complex systems of equations.

The study provides evidence of advanced mathematical knowledge in Elamite texts.

Abstract

In this article, we study similarity of triangles in the Susa Mathematical Texts (\textbf{SMT}). We also suggest that the Susa scribes were aware of intercept theory because they used this theorem in solving a complicated system of equations.