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geometry, which are preserved in a number of mainly unpublished Arabic manuscripts.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 …

Two trisections of the angle were transmitted from Greek to Islamic geometry, one in the
Arabic translation of the Lemmata of (pseudo-?) Archimedes, and the other in a hitherto …