Between AD 800 and 1450, the most important centers for the study of what we now call the
exact sciences-including the mathematical sciences of arithmetic, geometry, and …

This paper deals with the exact constructions of the regular heptagon in Greek and Arabic
geometry, which are preserved in a number of mainly unpublished Arabic manuscripts. …

This book is a revised and slightly augmented version of my doctoral dissertation (Utrecht
1983). The Subfaculty of Mathematics of the Rijksuniversiteit Utrecht generously enabled me …

In the second part of his Algebra, Sharaf al-Dīn al- T ̇ ūsī (12th-century) correctly determines
the number of positive roots of cubic equations in terms of the coefficients. R. Rashed has …

Two numbers n and m are called amicable if n is the sum of the proper divisors of m and at
the same time m is the sum of the proper divisors of n. One of the most interesting results of …

This article describes the discovery and the structure of the Kitāb al-Istikmāl, an extensive
mathematical work by Yūsuf al-Mu′taman ibn Hūd, who was king of Saragossa between …

Two members of the family of the Banu Htid, kings of Saragossa from 1039 to the Christian
conquests of the 12th century, were well known for their mathematical talents: Ahmad al-…

Many medieval Islamic mosques and palaces are adorned with highly intricate geometric
ornaments. These decorations have inspired modern artists and art historians, and they have …

" The book on the determinate ratio (fi Unisbati Umahdüda), two Books; Thäbit (ibn Qurra)
corrected the first one; the second one was translated into Arabic but not understood; the book …

The Islamic months begin with the sighting of the lunar crescent, and the prediction of the
first visibility of the crescent was therefore an important topic is Islamic astronomy. The first …