4 citations · 5 across the 14 of their papers we have counts for
14 papers
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…
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…
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…
Circular Figures in Elamite Mathematics
Nasser Heydari, Kazuo Muroi
In this article, we study a particular group of plane figures whose constants are listed in the Susa Mathematical Tablet No.\,3 (\textbf{SMT No.\,3}). We explain possible ways to d…
Bisection of Trapezoids in Elamite Mathematics
Nasser Heydari, Kazuo Muroi
The bisection of trapezoids by transversal lines has many examples in Babylonian mathematics. In this article, we study a similar problem in Elamite mathematics, inscribed on a cla…
The Elamite Formula for The Area of a Regular Heptagon
Nasser Heydari, Kazuo Muroi
In this article, we study the inscription on the reverse of Susa Mathematical Text No.\,2, a clay tablet held in the collection of the Louvre Museum and thought to date from betwee…
Sexagesimal Calculations in Ancient Sumer
Kazuo Muroi
This article discusses the reasons for the choice of the sexagesimal system by ancient Sumerians. It is shown that Sumerians chose this specific numeral system based on logical and…
Cubic equations of Babylonian mathematics
Kazuo Muroi
In this paper I shall clarify three cubic equations of Babylonian mathematics, whose solutions have not been fully explained; BM 85200, no.6 and no.7, and YBC 4669 B2.
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…
The oldest example of compound interest in Sumer: Seventh power of four-thirds
Kazuo Muroi
In the present paper I shall clarify that the origin of compound interest goes back 4400 years to Sumer by showing the Sumerian scribe of Enmetena Foundation Cone calculated sevent…
The Origin of the Mystical Number Seven in Mesopotamian Culture; Division by Seven in the Sexagesimal Number System
Kazuo Muroi
In the middle of the third millennium BC the Sumerians must have noticed that the reciprocal of the number 7,in contrast to the numbers 1,2,3,4,5,and 6,could not be expressed by a…
How to Construct a Large Table of Babylonian Mathematics
Kazuo Muroi
In the present paper I shall clarify the Babylonian method by which many large tables of reciprocals could be constructed.
Mathematics Hidden Behind the Two Coefficients of Babylonian Mathematics
Kazuo Muroi
In the present paper I shall reveal two circular figures hidden behind the Susa mathematical text no.3,lines 5 and 6 with my own analysis of the text.
Two Sumerian Words of Fractions in Babylonian Mathematics: igi-n-gál and igi-te-en
Kazuo Muroi
In Babylonian mathematics two Sumerian words of fractions occur, which were originally used in non-mathematical texts. They are igi-n-gál "the reciprocal of (the number) n", which…