A Short Modern History of Studying Sacrobosco's De
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From the Edition of the Tractatus De Sphaera (1516) to the Cosmographia (1532)
Chapter 8 Oronce Fine and Sacrobosco: From the Edition of the Tractatus de sphaera (1516) to the Cosmographia (1532) Angela Axworthy Abstract This paper considers the contribution of the French mathematician Oronce Fine to the diffusion and transformation of Johannes de Sacrobosco’s Tractatus de sphaera by considering his 1516 edition of the Sphaera and his Cosmographia, sive sphaera mundi (in Protomathesis, 1532). The article first describes Fine’s life and career, as well as his work as editor of the Sphaera. In a second part, it considers what Fine, in the Cosmographia, has drawn and left aside from the Sphaera, revealing the consequent transformations to the teaching of Sacrobosco’s theory of the sphere and its adaptation to the cultural and intellectual environment in which Fine evolved. A last part considers the treatment, in the Cosmographia, of the cosmological representations transmitted by Sacrobosco and by subsequent interpreters of Ptolemaic astronomy concerning the number of celes- tial spheres and its relation to judicial astrology. A. Axworthy (*) Technische Universität Berlin, Berlin, Germany Max Planck Institute for the History of Science, Berlin, Germany e-mail: [email protected] © The Author(s) 2020 185 M. Valleriani (ed.), De sphaera of Johannes de Sacrobosco in the Early Modern Period, https://doi.org/10.1007/978-3-030-30833-9_8 186 A. Axworthy 1 Introduction1 Oronce Fine or Finé2 (1494–1555), a French mathematician from the Dauphiné, is chiefly known to historians of science for having been the first to -
A Lathe and the Material Sphaera
Edinburgh Research Explorer A lathe and the material sphaera Citation for published version: Oosterhoff, R 2020, A lathe and the material sphaera: Astronomical technique at the origins of the cosmographical handbook. in M Valleriani (ed.), De Sphaera of Johannes de Sacrobosco in the Early Modern Period: The Authors of the Commentaries. Springer, pp. 25-52. https://doi.org/10.1007/978-3-030- 30833-9_2 Digital Object Identifier (DOI): 10.1007/978-3-030-30833-9_2 Link: Link to publication record in Edinburgh Research Explorer Document Version: Publisher's PDF, also known as Version of record Published In: De Sphaera of Johannes de Sacrobosco in the Early Modern Period General rights Copyright for the publications made accessible via the Edinburgh Research Explorer is retained by the author(s) and / or other copyright owners and it is a condition of accessing these publications that users recognise and abide by the legal requirements associated with these rights. Take down policy The University of Edinburgh has made every reasonable effort to ensure that Edinburgh Research Explorer content complies with UK legislation. If you believe that the public display of this file breaches copyright please contact [email protected] providing details, and we will remove access to the work immediately and investigate your claim. Download date: 03. Oct. 2021 Chapter 2 A Lathe and the Material Sphaera: Astronomical Technique at the Origins of the Cosmographical Handbook Richard J. Oosterhoff Abstract Even though cosmographers loved to drape their discipline in the ancient dignity of Ptolemy, actual manuals of cosmography often depended on Johannes de Sacrobosco’s medieval introduction to spherical astronomy. -
Introduction
Cambridge University Press 978-0-521-51484-2 - Discovering the Expanding Universe Harry Nussbaumer and Lydia Bieri Excerpt More information 1 Introduction The discovery of the expanding universe in the first half of the twentieth century is one of the most exciting exploits in the history of astronomy; it is the main theme of this book. An intense and occasionally even fierce controversy divided the astronomical world at the beginning of the twentieth century: does the Milky Way represent the whole Universe, or is our Cosmos composed of an enormous or even infinite number of island universes, each of them similar to our own Milky Way? The question was definitely settled in 1925 in favour of island universes, a concept that had been proposed by Immanuel Kant in 1755. Yet, even before the debate was closed, that grand silent Universe had become the playground of theoreti- cians, who tried to fathom its structure with their abstract mathematics. Modern cosmology began in 1917 when Albert Einstein published his ‘Kosmologische Betrachtungen zur allgemeinen Relativita¨tstheorie’ (Cosmological considerations on the general theory of relativity). In his theory, space and time form a unity: spacetime. They are no longer absolute and independent concepts, the structure of spacetime is intrinsically related to the material and energetic content of the Universe: spacetime is structured by gravitation. More than two thousand years of astronomical observations showed the Universe to be stable and practically immutable in space as well as in time. Thus, when Einstein merged relativity with cosmology, he quite naturally wanted to accommodate a static universe that did not change with time. -
How Ptolemy's Geocentric Astronomy Helped Build the Modern World
How the Discredited Geocentric Cosmos Was a Critical Component of the Scientific Revolution by Rick Doble Copyright © 2015 Rick Doble From Doble's blog, DeconstructingTime, deconstructingtime.blogspot.com All pictures and photos are from commons.wikimedia.org How Ptolemy's Geocentric Astronomy Helped Build the Modern World If you took the standard required western history course in college as I did, you learned that about 400 years ago astronomers Copernicus, Galileo and Kepler along with Isaac Newton were key players in the scientific revolution that overturned the cumbersome system of geocentric astronomy. In this outdated system the Sun, moon and stars went around the stationary Earth. Instead these early scientists proved that the Earth and the planets went around the Sun. Known as the Copernican Revolution, it is considered the beginning of the scientific revolution, a new way of thinking which continues to this day and has created our modern world and our modern hi-tech marvels. Well, that story is sort of true, but in hindsight it greatly simplifies the complex path that the scientific revolution took, the path that ultimately led to today's scientific and technological wonders. Specifically it leaves out the fact that the geometry of a geocentric universe and its foremost astronomer, Ptolemy, who perfected the geocentric system, were key players in this new scientific outlook. In fact the discredited geocentric theory was, oddly, essential for building our new scientific/technological world. Doble, Rick How the Discredited Geocentric Cosmos Was a Critical Component of the Scientific Revolution Page 1 of 11 BACKGROUND OF THE GEOCENTRIC/PTOLEMAIC SYSTEM Over hundreds of years the early ancient Greeks put together a concept of the Solar System as a coherent system of concentric circles -- which was a major advance for Western thought. -
Vernacular Translations of Sacrobosco's Sphere in the Sixteenth Century
JHA0010.1177/0021828614567419Journal for the History of AstronomyCrowther et al. 567419research-article2015 Article JHA Journal for the History of Astronomy 2015, Vol. 46(1) 4 –28 The Book Everybody Read: © The Author(s) 2015 Reprints and permissions: Vernacular Translations of sagepub.co.uk/journalsPermissions.nav DOI: 10.1177/0021828614567419 Sacrobosco’s Sphere in the jha.sagepub.com Sixteenth Century Kathleen Crowther University of Oklahoma, Department of the History of Science, USA Ashley Nicole McCray University of Oklahoma, Department of the History of Science, USA Leila McNeill Independent scholar, Texas, USA Amy Rodgers University of Oklahoma, Department of the History of Science, USA Blair Stein University of Oklahoma, Department of the History of Science, USA Abstract This article presents four detailed case studies of sixteenth-century vernacular translations of Sacrobosco’s De sphaera. Previous scholarship has highlighted the important role of Sacrobosco’s Sphere in medieval and early modern universities, where it served as an introductory astronomy text. We argue that the Sphere was more than a university teaching text. It was translated many times and was accessible to a wide range of people. The popularity of the Sphere suggests widespread interest in cosmological questions. We suggest that the text was a profitable one for early modern printers, who strove to identify books that would be reliable sellers. We also argue that the Sphere was not a static text. Rather, translators and editors added commentaries and other supplemental material that corrected and updated Sacrobosco’s original text and Corresponding author: Kathleen Crowther, Department of the History of Science, University of Oklahoma, 601 Elm Avenue, Room 625, Norman, OK 73019, USA. -
Hindu-Arabic Numerals in Medieval Europe Spreadsheet.Pdf
Hindu-Arabic Numerals in Medieval Europe Start End Title Placename Lat Lon Description Category Zero Author Type Language Reference Pick: HebrewWithZero, GhobarNoZero; GhobarWithZero; EasternArabicNoZero; EasternArabicWithZero; Roman; Mixed Originally from France, Gerbert of Aurillac (d. 1003) traveled to Spain between the years 967-970. From there, he spent time in Italy (970-72), in Rheims (northern France 972-96), and again in Italy (996-1003). He was 967 1003 Gerbert of Aurillac (Sylvester II) made Pope Sylvester II in 999. Individuals Few details of Adelard's life are known with certainty. We do know that he studied in Tours in the Loire Valley in west central France and that he later taught at Laon in the Picardy region of northern France, perhaps in the theological and exegetical school. After leaving Laon, Adelard travelled for about seven years, visiting first Salerno southeast of Naples. (The medical school at Salerno, considered by many to be the first "modern" European university, was a famous institution at this time and drew students from all over Europe.) From Salerno, Adelard travelled to Norman-controlled Sicily, which was strongly influenced by Arabic traditions. He next visited Cilicia in southern Anatolia; from here he took the natural coastal route round the east end of the Mediterranean to Syria and then later to Palestine. We know that Adelard returned to Bath since he is mentioned in the records of that city for the year 1130. There is no record of Adelard visiting Spain, but many scholars have concluded that he must have visited that country to (a) have had access to the Spanish-Arabic texts which he translated, after (b) mastering the Arabic language there. -
De Sphaera of Johannes De Sacrobosco in the Early Modern
Matteo Valleriani Editor De sphaera of Johannes de Sacrobosco in the Early Modern Period The Authors of the Commentaries De sphaera of Johannes de Sacrobosco in the Early Modern Period Matteo Valleriani Editor De sphaera of Johannes de Sacrobosco in the Early Modern Period The Authors of the Commentaries Editor Matteo Valleriani Max Planck Institute for the History of Science Berlin, Germany Technische Universität Berlin Berlin, Germany University of Tel Aviv Tel Aviv, Israel ISBN 978-3-030-30832-2 ISBN 978-3-030-30833-9 (eBook) https://doi.org/10.1007/978-3-030-30833-9 © The Editor(s) (if applicable) and The Author(s) 2020. This book is an open access publication. Open Access This book is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this book are included in the book’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the book’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. The use of general descriptive names, registered names, trademarks, service marks, etc. -
Collection Medici Scientific Instruments Anthony Caradonna
Emily Fairey Anthony Caradonna Collection Catalog 6/23/10 Sphaera Mundi: The Medicis and the Armillary Sphere Behind the Medici’s commitment to revive Classical knowledge and serve Christianity lay a driving urge to control the world of men, money and power. Their era reflects the beginning of an age of Science, the branch of the liberal arts that did not falter when it surpassed its classical origins. They collected scientific instruments that surpass the classical tradition in aesthetic grace as well as practical knowledge. One type of these instruments brought all of these strands of thought together. It reflected concepts of the divine sublimated into human knowledge, a contemporary expansion of classical principles, and graceful and iconic forms of artistic interpretation. Above all, it was a practical tool to measure and thus traverse the world. This tool was known from antiquity as the sphaera armillaria , or the armillary sphere, and the Medicis used it as a symbol of their religious faith, artistic inspiration, and power. The armillary sphere reflects a very ancient view of the universe. In Plato’s Timaeus , (4 th C. BCE) the concept of the earth as the center of a series of concentric terrestrial and celestial spheres had a mystical significance. The idea of a symmetrical, graduated ascent to celestial divinity embodied an ordered view of the cosmos. Ptolemy, the Greek philosopher (fl.127-141 AD) described in his Syntaxis ( Almagest, book v. chap. i) the armillary sphere as a concrete visualization of this theory. Although it existed from early antiquity in China, the earliest attested model in the west was created independently by the Syracusan mathematician Archimedes.1 His armillary sphere, taken to Rome in the 2nd C. -
Une Histoire De L'astronomie D'une Grande Importance Pour Comprendre Le Cadre De Sa Pensée
UNEUNE HISTOIREHISTOIRE DEDE L’ASTRONOMIEL’ASTRONOMIE la Préhistoire - l’Antiquité - le Moyen-Âge la Renaissance - l’Âge de Raison le siècle des Lumières - le XIX° siècle les XX° et XXI° siècles - iconographie GAP 47 • Olivier Sabbagh • Mars 2016 / Revision Janvier 2020 Une histoire de l’astronomie Préambule Etablir et rassembler un document intitulé « une histoire de l’astronomie » peut paraître très ambitieux et procède de nombreux choix qui, en tant que tels, sont nécessairement subjectifs. Nous sommes confrontés au premier choix qui consiste à prendre la voie de l’encyclopédie, pour tout dire, tout explorer et être totalement exhaustifs. La conséquence en serait la production d’un volume incalculable de données, d’évènements, de noms, de photos, etc. Faire le choix de cette approche serait très long et difficile, sauf au prix de produire des milliers de pages qui, ipso facto, seraient probablement illisibles et dans lesquelles le lecteur pourrait facilement se perdre, voire se lasser ou s’ennuyer. L’autre approche, celle que nous avons choisie, est celle de l’arbitraire, en faisant certains choix à priori : parler de telle ou telle découverte plutôt que d’autres, parler sommairement de la famille et/ou de la personnalité de certains astronomes, parler de certaines civilisations pour voir ce qu’elles ont apporté à la science du ciel et des étoiles et à notre compréhension progressive de l’Univers dans lequel nous nous trouvons. Comme les choix que nous avons faits sont arbitraires, ils sont nécessairement discutables puisque biaisés, en ne retenant que ce qui nous paraît le plus important et en laissant donc de côté ce qui nous semble secondaire (ou moins indispensable). -
Table of Entries Names Preceded by an Article Or Preposition Are Alphabetized by the Next Word in the Name. There Are Two Excep
Table of Entries Names preceded by an article or preposition are alphabetized by the next word in the name. There are two exceptions: One is the Dutch “Van,” “Van de,” “Van den,” and “Van der.” Another is “Warren De La Rue” (alphabetized under D). (Arabic names are alphabetized under the shortened version of the name.) Abbās Wasīm Efendi Abbe, Cleveland Abbo of Fleury [Abbon de Fleury] Abbot, Charles Greeley Abbott, Francis Abd al-Wājid: Badr al-Dīn Abd al-Wājid [Wāid] ibn Muammad ibn Muammad al-anafī Abetti, Antonio Abetti, Giorgio Abharī: Athīr al-Dīn al-Mufaal ibn Umar ibn al-Mufaal al-Samarqandī al-Abharī Abney, William de Wiveleslie Abū al-Ṣalt: Umayya ibn Abd al-Azīz ibn Abī al-Ṣalt al- Dānī al-Andalusī [Albuzale] Abū al-Uqūl: Abū al-Uqūl Muḥammad ibn Aḥmad al-Ṭabarī Abū Mashar Jafar ibn Muḥammad ibn Umar al-Balkhi [Albumasar] Acyuta Piṣāraṭi Ādami: Abū Alī al-Ḥusayn ibn Muḥammad al-Ādami Adams, John Couch Adams, Walter Sydney Adel, Arthur Adelard of Bath Adhémar, Joseph-Alphonse Aeschylus Aḥmad Mukhtār: Ghāzī Aḥmad Mukhtār Pasha Ainslie, Maurice Anderson Airy, George Biddell Aitken, Robert Grant Albert the Great [Albertus Magnus] Albrecht, Sebastian Alcuin [Alchvine; Ealhwine] [Albinus, Flaccus] Alden, Harold Lee Alexander, Arthur Francis O'Donel Alexander, Stephen Alfonsi, Petrus Alfonso X [Alfonso el Sabio, Alfonso the Learned] Alfvén, Hannes Olof Gösta Alī al-Muwaqqit: Muṣliḥ al-Dīn Muṣṭafā ibn Alī 1 al-Qusṭanṭīnī al-Rūmī al-Ḥanafī al-Muwaqqit Alī ibn Īsā al-Asṭurlābī Alī ibn Khalaf: Abū al-asan ibn Amar al-aydalānī [Alī ibn Khalaf ibn Amar Akhīr (Akhiyar)] Alighieri, Dante Allen, Clabon Walter Aller, Lawrence Hugh Alvarez, Luis Walter Amājūr Family Ambartsumian, Victor Amazaspovitch Amici, Giovanni Battista Āmilī: Bahā al-Dīn Muḥammad ibn Ḥusayn al-Āmilī Ammonius Anaxagoras of Clazomenae Anaximander of Miletus Anaximenes of Miletus Andalò di Negro of Genoa Anderson, Carl David Anderson, John August Anderson, Thomas David Andoyer, Marie-Henri André, M. -
Etk/Evk Namelist
NAMELIST Note that in the online version a search for any variant form of a name (headword and/or alternate forms) must produce all etk.txt records containing any of the forms listed. A. F. H. V., O.P. Aali filius Achemet Aaron .alt; Aaros .alt; Arez .alt; Aram .alt; Aros philosophus Aaron cum Maria Abamarvan Abbo of Fleury .alt; Abbo Floriacensis .alt; Abbo de Fleury Abbot of Saint Mark Abdala ben Zeleman .alt; Abdullah ben Zeleman Abdalla .alt; Abdullah Abdalla ibn Ali Masuphi .alt; Abdullah ibn Ali Masuphi Abel Abgadinus Abicrasar Abiosus, John Baptista .alt; Abiosus, Johannes Baptista .alt; Abiosus, Joh. Ablaudius Babilonicus Ableta filius Zael Abraam .alt; Abraham Abraam Iudeus .alt; Abraam Iudeus Hispanus .alt; Abraham Iudeus Hispanus .alt; Abraam Judeus .alt; Abraham Iudaeus Hispanus .alt; Abraham Judaeus Abracham .alt; Abraham Abraham .alt; Abraam .alt; Abracham Abraham Additor Abraham Bendeur .alt; Abraham Ibendeut .alt; Abraham Isbendeuth Abraham de Seculo .alt; Abraham, dit de Seculo Abraham Hebraeus Abraham ibn Ezra .alt; Abraham Avenezra .alt; ibn-Ezra, Avraham .alt; Aben Eyzar ? .alt; Abraham ben Ezra .alt; Abraham Avenare Abraham Iudaeus Tortuosensis Abraham of Toledo Abu Jafar Ahmed ben Yusuf ibn Kummed Abuali .alt; Albualy Abubacer .alt; Ibn-Tufail, Muhammad Ibn-Abd-al-Malik .alt; Albubather .alt; Albubather Alkasan .alt; Abu Bakr Abubather Abulhazen Acbrhannus Accanamosali .alt; Ammar al-Mausili Accursius Parmensis .alt; Accursius de Parma Accursius Pistoriensis .alt; Accursius of Pistoia .alt; M. Accursium Pistoriensem -
Introduction
Cambridge University Press 978-0-521-51484-2 - Discovering the Expanding Universe Harry Nussbaumer and Lydia Bieri Excerpt More information 1 Introduction The discovery of the expanding universe in the first half of the twentieth century is one of the most exciting exploits in the history of astronomy; it is the main theme of this book. An intense and occasionally even fierce controversy divided the astronomical world at the beginning of the twentieth century: does the Milky Way represent the whole Universe, or is our Cosmos composed of an enormous or even infinite number of island universes, each of them similar to our own Milky Way? The question was definitely settled in 1925 in favour of island universes, a concept that had been proposed by Immanuel Kant in 1755. Yet, even before the debate was closed, that grand silent Universe had become the playground of theoreti- cians, who tried to fathom its structure with their abstract mathematics. Modern cosmology began in 1917 when Albert Einstein published his ‘Kosmologische Betrachtungen zur allgemeinen Relativita¨tstheorie’ (Cosmological considerations on the general theory of relativity). In his theory, space and time form a unity: spacetime. They are no longer absolute and independent concepts, the structure of spacetime is intrinsically related to the material and energetic content of the Universe: spacetime is structured by gravitation. More than two thousand years of astronomical observations showed the Universe to be stable and practically immutable in space as well as in time. Thus, when Einstein merged relativity with cosmology, he quite naturally wanted to accommodate a static universe that did not change with time.