collaborators

6 papers

math.HO2023

Similarity of Triangles and Intercept Theorem in Elamite Mathematics

Nasser Heydari, Kazuo Muroi

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 u…

math.HO2023

Quadratic Equations in Elamite Mathematics

Nasser Heydari, Kazuo Muroi

In this article, we study some of quadratic equations and their solutions found in the Susa Mathematical Texts (\textbf{SMT}). We show that the Susa scribes used this group of equa…

math.HO2023

Pythagorean Theorem in Elamite Mathematics

Nasser Heydari, Kazuo Muroi

This article studies the application of the Pythagorean theorem in the Susa Mathematical Texts (\textbf{SMT}) and we discuss those texts whose problems and related calculations dem…

math.HO2023

Excavation Problems in Elamite Mathematics

Nasser Heydari, Kazuo Muroi

In this article, we study the problems found in the Susa Mathematical Texts No.\,24 and No.\,25 (\textbf{SMT No.\,24} and \textbf{SMT No.\,25}) which concern excavation projects su…

math.HO2023

Volumes of Solid Objects in Elamite Mathematics

Nasser Heydari, Kazuo Muroi

This article studies three-dimensional objects and their volumes in Elamite mathematics, particularly those found in the Susa Mathematical Tablet No.\,14 (\textbf{SMT No.\,14}). In…

math.HO2016

The oldest example of in Sumer: Calculation of the area of a circular plot

Kazuo Muroi

In this paper I shall show that the formula 0:4,48 times circumference squared for the area of a circle, which occurs in a few Babylonian mathematical texts, can be traced back to…