Author: ArchimedesPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages :
Book Description
Archimedes in the Middle Ages: Quasi-Archimedean geometry in the thirteenth century. 2 v
Author: ArchimedesArchimedes in the Middle Ages: Quasi-Archimedean geometry in the thirteenth century. 2 v
Author: Marshall ClagettPublisher:
ISBN: 9780871691170
Category :
Languages : en
Pages :
Book Description
Archimedes in the Middle Ages: Quasi-archimedean geometry in the thirteenth century: pt.1-3. Texts and analysis. pt.4. Appendixes. (1v.) pt. 5. Bibliography, diagrams, indexes. (1v.)
Author: ArchimedesArchimedes in the Middle Ages
Author: ArchimedesArchimedes
Author: Eduard Jan DijksterhuisPublisher: Princeton University Press
ISBN: 1400858615
Category : Mathematics
Languages : en
Pages : 460
Book Description
This classic study by the eminent Dutch historian of science E. J. Dijksterhuis (1892-1965) presents the work of the Greek mathematician and mechanical engineer to the modern reader. With meticulous scholarship, Dijksterhuis surveys the whole range of evidence on Archimedes' life and the 2000-year history of the manuscripts and editions of the text, and then undertakes a comprehensive examination of all the extant writings. Originally published in 1987. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Textual Studies in Ancient and Medieval Geometry
Author: W.R. KnorrPublisher: Springer Science & Business Media
ISBN: 1461236908
Category : Mathematics
Languages : en
Pages : 850
Book Description
For textual studies relating to the ancient mathematical corpus the efforts by the Danish philologist, 1. L. Heiberg (1854-1928), are especially significant. Beginning with his doctoral dissertation, Quaestiones Archimedeae (Copen hagen, 1879), Heiberg produced an astonishing series of editions and critical studies that remain the foundation of scholarship on Greek mathematical 4 science. For comprehensiveness and accuracy, his editions are exemplary. In his textual studies, as also in the prolegomena to his editions, he carefully described the extant evidence, organized the manuscripts into stemmata, and drew out the implications for the state of the text. 5 With regard to his Archimedean work, Heiberg sometimes betrayed signs of the philologist's occupational disease - the tendency to rewrite a text deemed on subjective grounds to be unworthy. 6 But he did so less often than his prominent 7 contemporaries, and not as to detract appreciably from the value of his editions. In examining textual questions bearing on the Archimedean corpus, he attempted to exploit as much as possible evidence from the ancient commentators, and in some instances from the medieval translations. It is here that opportunities abound for new work, extending, and in some instances superseding, Heiberg's findings. For at his time the availability of the medieval materials was limited. In recent years Marshall Clagett has completed a mammoth critical edition of the medieval Latin tradition of Archimedes,8 while the bibliographical instruments for the Arabic tradition are in good order thanks to the work of Fuat Sezgin.
Studies in Medieval Astronomy and Optics
Author: J.L. ManchaPublisher: Taylor & Francis
ISBN: 1000938441
Category : History
Languages : en
Pages : 325
Book Description
In this selection of studies, J.L. Mancha explores aspects of the development of medieval optics and astronomy, including some medieval antecedents of the work of early modern astronomers. The articles deal with Latin, Hebrew and Arabic texts, and the process of translation and transmission of knowledge, and focus on three main themes. First, the theory and astronomical use of the pinhole camera in the 12th and 13th centuries; the texts edited here contain a solution to the problem of the formation of images cast by light through triangular apertures, equivalent to Kepler's, a description of the correct procedure for measuring solar apparent diameters using finite apertures, and a derivation of the Sun's eccentricity from its apparent diameters at apogee and perigee. Second, the characteristics of the Latin and Provençal versions of Levi ben Gerson's astronomical work, composed in collaboration with the author, as well as his tables and canons for finding syzygies and the mathematical methods used in the derivation of parameters. Third, different aspects of the survival of homocentric astronomy in the Middle Ages, especially al-Bitruji's model for trepidation and the technique for calculating the hippopede resulting from Eudoxan couples.
A Critical Edition of Ibn al-Haytham’s On the Shape of the Eclipse
Author: Dominique RaynaudPublisher: Springer
ISBN: 3319479911
Category : Mathematics
Languages : en
Pages : 305
Book Description
This book provides the first critical edition of Ibn al-Haytham’s On the Shape of the Eclipse with English translation and commentary, which records the first scientific analysis of the camera obscura. On the Shape of the Eclipse includes pioneering research on the conditions of formation of the image, in a time deemed to be committed to aniconism. It also provides an early attempt to merge the two branches of Ancient optics—the theory of light and theory of vision. What perhaps most strongly characterizes this treatise is the close interaction of a geometric analysis of light and experimental reasoning. Ibn al-Haytham conducted his experiments in a systematic way by varying all that could be changed: the shape and size of the aperture, the focal length of the camera obscura, the distance and shape of the celestial bodies. This way, he achieved a thorough understanding. This work represents a decisive step in both the history of optics and the application of the experimental method that was just as efficient in medieval Islam as today.
Jacopo da Firenze's Tractatus Algorismi and Early Italian Abbacus Culture
Author: Jens HøyrupPublisher: Springer Science & Business Media
ISBN: 3764383917
Category : Mathematics
Languages : en
Pages : 482
Book Description
This book deals with one of the earliest surviving "abbacus" treatises, one that is by far more orderly than any of the extant predecessors and is also the first to contain a presentation of algebra. The book contains an edition and an English translation of a manuscript from c. 1450. In addition, it features an extensive discussion of the contents of the treatise and its location within early abbacus culture.
Janello Torriani and the Spanish Empire
Author: Cristiano ZanettiPublisher: BRILL
ISBN: 9004320911
Category : Science
Languages : en
Pages : 462
Book Description
Janello Torriani, or Juanelo Turriano (Cremona, ca. 1500 – Toledo, 1585), is the greatest––though forgotten–– among Renaissance inventors and constructors of machines. His story is foundational for the understanding of the roots of the Scientific and the Industrial Revolutions.