The first and more important section of this article lists all the known treatises in Arabic on Fine Technology – water-clocks, automata, pumps, trick vessels, fountains, etc. The ideas, techniques and components in these treatises are of great importance in the history of machine technology. For each treatise information is given on the provenance of MSS, editions in Arabic and translations, paraphrases or commentaries in modern European languages. In addition to treatises by Arabic writers, similar information is also given on Greek mechanical treatises if these have survived only in Arabic versions.

The second section deals with utilitarian machines such as mills and water-raising machines. The various sources of information about these machines is discussed, including Arabic works on geography and travel, iconography and archaeology.

This article aims to present a summary account of the role of Syriac in the transmission of Aristotle's Organon from Greek to Arabic. The main sources for that purpose lie in the Syriac and Arabic translations of Aristotle's works, that were achieved during the period from the 7th to the 9th centuries. Some problems related to these translations are discussed, with more attention paid to the emergence of a technical language of logic.

Having constituted a new epoch in human history and a new religiouspolitical order, the revealed religions challenged the tradition of Greek philosophy to adjust to, investigate, and make intelligible a religiouspolitical order based on prophecy, revelation, and the divine law. The challenge led certain Arab and Muslim philosophers to reassess the relative distance between the thought of the Greek masters, (Plato, Aristotle, Plotinus, in particular) and the doctrines propagated by the revealed religions, and to make use of such works as Plato's Republic and Laws, rather than Aristotle's Politics, when offering a philosophic account of the new religious–political phenomenon and of such new disciplines as the science of the divine law and the science of revealed theology.

Starting from the Greek definition of philosophy as the love of wisdom, and from the semantic richness of the Arabic word ḥikma, several fourth- and fifth-century writers tried to establish the position of philosophy in the Islamic cultural system by identifying it with wisdom. For them this wisdom is tantamount to the ‘eternal wisdom’ recorded in the ancient books and taught by the prophets. Philosophers are described as the prophets' disciples or witnesses. However, depicting philosophy as eternal wisdom only gives the discipline an illusory advantage. Ultimately it reduces it to pure repetition and therefore precludes any change.

This paper is devoted to Ibn Sinān's treatise on analysis and synthesis. Ibn Sinān's text deals with two distinct, though closely related, subjects. First he considers the classification of problems, founded on the logical criteria which are the number and degree of indetermination of the solutions and (though in a less relevant way) the number of hypotheses and their possible independence. This classification does not replace the Hellenistic one, which remains relevant insofar as it purports to solve geometrical problems, but complements it and has a different frame of reference, applying principally to algebra, that new born science. Ibn Sinān's classification will be taken up and used by algebraists. Secondly, the text presents a new way of setting out analysis and synthesis, so that they become exactly reciprocal. This leads Ibn Sinān to bestow more importance on the role played by analysis in the course of the proof, the only role left to synthesis being to check that all implications involved in the course of analysis are in fact equivalences. This method will prove to be productive in algebra too, so much so that some algebraists will explicitly identify algebra with analysis.

In the absence of the Arabic text of al-Khwārizmī's Arithmetic (ca. 825), which has not yet been found, the oldest Latin adaptations from the twelfth century are the only evidence documenting the genesis and the first spreading of a decimal arithmetic that uses nine figures and zero, i.e. the Indian reckoning known in the Middle Ages as algorismus. This paper studies these texts, their content, their sources, and identifies their authors and the milieus in which they were written.

This paper surveys the results established so far by the on-going research on the planetary theories in Arabic astronomy. The most important results of the Maragha astronomers are gathered here for the first time, and new areas for future research are delineated. The conclusions reached demonstrate that the Arabic astronomical works mentioned here not only elaborate the connection between Arabic astronomy and Copernicus, but also that such activities, namely the continuous reformulation of Greek astronomy, were not limited to a specific group of astronomers or to a specific geographical area. It is shown that such activities were spread over a period of more than seven hundred years, from the early eleventh till the sixteenth century, and over an area stretching from the Andalusian peninsula in the west to the farthest reaches of Central Asia in the east.

In a manuscript which is being studied here for the first time, al-Samaw'al (12th century) quotes a paragraph from al-Bīrūnī (11th century) which shows that the latter knew not only of Brahmagupta's method of quadratic interpolation, but also of another Indian method (called sankalt). Al-Samaw'al examines these methods, as well as linear interpolation, compares them, and evaluates their respective results. He also tries to improve them. In this article the author shows that al-Bīrūnī had used four methods of interpolation, two of which were of Indian origin; and that al-Samaw'al explicitly introduced a new way of evaluating these different methods. He also throws light on the active movement of research on numerical methods that constitutes the background to al-Bīrūmī's and al-Samaw'al's work, and uses modern means to evaluate the different methods and to justify the mathematicians' choices. The author has edited and translated al-Samaw'al's text in order to make it available to historians of Arabic and Indian mathematics. This allows them to follow the history and the mathematical arguments, and deepens our understanding of the importance to the development of mathematics of certain astronomical work. It also highlights the contribution of Indian mathematicians to the development of Arabic mathematics.

In this article we study the development of the mathematical theorem, now known as the Tūsī Couple, and discuss the difference between its plane and spherical applications.