This is the fourth set of studies in the Variorum series by David King, a leading authority on the history of Islamic astronomy and on medieval astronomical instruments. The first of the studies collected here deals with medieval instruments as historical sources. The following papers focus on individual astrolabes from the European Middle Ages and early Renaissance that are of singular historical importance and look at the origins of the simple universal horary quadrant and the complicated universal horary dial (navicula). The collection concludes with a list of all known medieval European astrolabes.

First published as a special issue of the journal Medieval Encounters (vol. 23, 2017), this volume, edited by Josefina Rodríguez-Arribas, Charles Burnett, Silke Ackermann, and Ryan Szpiech, brings together fifteen studies on various aspects of the astrolabe in medieval cultures. The astrolabe, developed in antiquity and elaborated throughout the Middle Ages, was used for calculation, teaching, and observation, and also served astrological and medical purposes. It was the most popular and prestigious of the mathematical instruments, and was found equally among practitioners of various sciences and arts as among princes in royal courts. By considering sources and instruments from Muslim, Christian, and Jewish contexts, this volume provides state-of-the-art research on the history and use of the astrolabe throughout the Middle Ages. Contributors are Silke Ackermann, Emilia Calvo, John Davis, Laura Fernández Fernández, Miquel Forcada, Azucena Hernández, David A. King, Taro Mimura, Günther Oestmann, Josefina Rodríguez-Arribas, Sreeramula Rajeswara Sarma, Petra G. Schmidl, Giorgio Strano, Flora Vafea, and Johannes Thomann.

Named a Best Book of 2020 by The Telegraph, The Times, and BBC History Magazine An illuminating guide to the scientific and technological achievements of the Middle Ages through the life of a crusading astronomer-monk. "Falk’s bubbling curiosity and strong sense of storytelling always swept me along. By the end, The Light Ages didn’t just broaden my conception of science; even as I scrolled away on my Kindle, it felt like I was sitting alongside Westwyk at St. Albans abbey, leafing through dusty manuscripts by candlelight." —Alex Orlando, Discover Soaring Gothic cathedrals, violent crusades, the Black Death: these are the dramatic forces that shaped the medieval era. But the so-called Dark Ages also gave us the first universities, eyeglasses, and mechanical clocks. As medieval thinkers sought to understand the world around them, from the passing of the seasons to the stars in the sky, they came to develop a vibrant scientific culture. In The Light Ages, Cambridge science historian Seb Falk takes us on a tour of medieval science through the eyes of one fourteenth-century monk, John of Westwyk. Born in a rural manor, educated in England’s grandest monastery, and then exiled to a clifftop priory, Westwyk was an intrepid crusader, inventor, and astrologer. From multiplying Roman numerals to navigating by the stars, curing disease, and telling time with an ancient astrolabe, we learn emerging science alongside Westwyk and travel with him through the length and breadth of England and beyond its shores. On our way, we encounter a remarkable cast of characters: the clock-building English abbot with leprosy, the French craftsman-turned-spy, and the Persian polymath who founded the world’s most advanced observatory. The Light Ages offers a gripping story of the struggles and successes of an ordinary man in a precarious world and conjures a vivid picture of medieval life as we have never seen it before. An enlightening history that argues that these times weren’t so dark after all, The Light Ages shows how medieval ideas continue to color how we see the world today.

This digital edition includes the original artwork, has been specially adapted for ebook platforms and is optimised for tablet devices. A BOY WITH THE POWER OF A STAR . . . Lucky thinks he's an ordinary Human boy. But one night, he dreams that the stars are singing to him, and wakes to find an uncontrollable power rising inside him. Now he's on the run, racing through space, searching for answers. In a galaxy at war, where Humans and Aliens are deadly enemies, the only people who can help him are an Alien starship crew – and an Alien warrior girl, with neon needles in her hair . . .

"The astrolabe - often quoted as "the earliest computer" - is a mechanical instrument capable of performing astronomical computations. This study offers a new interpretation of its role in the Latin culture of the High Middle Ages, highlighting its epistemological significance. For Latin scholars around the year 1000, the astrolabe became the earliest, non-verbal channel to access and assimilate mathematical knowledge from the Arabic culture, and could be seen as representing a divine 'architectonical rationality' which humans could share in the mathematical experience. The novel methodology of this work combines the results of historical and philological analyses of manuscripts and material sources with the most recent insights on different kinds of mathematical thinking. Focussing on drawings and text fragments, with a new, detailed analysis of ms. Paris BnF 7412 (11th c), the study reconstructs the Latin high medieval mathematical experience, its non-verbal modes of communication and its relationship with both practice and philosophy."--BOOK JACKET.

This is the first comprehensive study of an ingenious number-notation from the Middle Ages that was devised by monks and mainly used in monasteries. A simple notation for representing any number up to 99 by a single cipher, somehow related to an ancient Greek shorthand, first appeared in early-13th-century England, brought from Athens by an English monk. A second, more useful version, due to Cistercian monks, is first attested in the late 13th century in what is today the border country between Belgium and France: with this any number up to 9999 can be represented by a single cipher. The ciphers were used in scriptoria - for the foliation of manuscripts, for writing year-numbers, preparing indexes and concordances, numbering sermons and the like, and outside the scriptoria - for marking the scales on an astronomical instrument, writing year-numbers in astronomical tables, and for incising volumes on wine-barrels. Related notations were used in medieval and Renaissance shorthands and coded scripts. This richly-illustrated book surveys the medieval manuscripts and Renaissance books in which the ciphers occur, and takes a close look at an intriguing astrolabe from 14th-century Picardy marked with ciphers. With Indices. "Mit Kings luzider Beschreibung und Bewertung der einzelnen Funde und ihrer Beziehungen wird zugleich die Forschungsgeschichte - die bis dato durch Widerspruechlichkeit und Diskontinuit�t gepr�gt ist - umfassend aufgearbeitet." Zeitschrift fuer Germanistik.

In the Middle Ages the astrolabe was the best known and most widely used astronomical instrument both in the Islamic world and in the West. The oldest extant description of the construction of this instrument was written by the well-known Arabic astronomer al-Farghani (Baghdad, ca. 856). His treatise is especially valuable because of the tables it contains to enable an artificer to draw the various circles and arcs on the instrument. The Arabic text of this work, including the tables, is presented here for the first time in a critical edition, accompanied by an English translation and a commentary reproducing al-Farghani's reasoning in modern mathematical notation.