The (Likely) Last Edition of Copernicus's Libri Revolutionum
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University of California, San Diego
UNIVERSITY OF CALIFORNIA, SAN DIEGO THE SCIENCE OF THE STARS IN DANZIG FROM RHETICUS TO HEVELIUS A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in History (Science Studies) by Derek Jensen Committee in charge: Professor Robert S. Westman, Chair Professor Luce Giard Professor John Marino Professor Naomi Oreskes Professor Donald Rutherford 2006 The dissertation of Derek Jensen is approved, and it is acceptable in quality and form for publication on microfilm: _________________________________________ _________________________________________ _________________________________________ _________________________________________ _________________________________________ Chair University of California, San Diego 2006 iii FOR SARA iv TABLE OF CONTENTS Signature Page........................................................................................................... iii Dedication ................................................................................................................. iv Table of Contents ...................................................................................................... v List of Figures ........................................................................................................... vi Acknowledgments..................................................................................................... vii Vita, Publications and Fields of Study...................................................................... x A Note on Dating -
Nicolaus Copernicus: the Loss of Centrality
I Nicolaus Copernicus: The Loss of Centrality The mathematician who studies the motions of the stars is surely like a blind man who, with only a staff to guide him, must make a great, endless, hazardous journey that winds through innumerable desolate places. [Rheticus, Narratio Prima (1540), 163] 1 Ptolemy and Copernicus The German playwright Bertold Brecht wrote his play Life of Galileo in exile in 1938–9. It was first performed in Zurich in 1943. In Brecht’s play two worldviews collide. There is the geocentric worldview, which holds that the Earth is at the center of a closed universe. Among its many proponents were Aristotle (384–322 BC), Ptolemy (AD 85–165), and Martin Luther (1483–1546). Opposed to geocentrism is the heliocentric worldview. Heliocentrism teaches that the sun occupies the center of an open universe. Among its many proponents were Copernicus (1473–1543), Kepler (1571–1630), Galileo (1564–1642), and Newton (1643–1727). In Act One the Italian mathematician and physicist Galileo Galilei shows his assistant Andrea a model of the Ptolemaic system. In the middle sits the Earth, sur- rounded by eight rings. The rings represent the crystal spheres, which carry the planets and the fixed stars. Galileo scowls at this model. “Yes, walls and spheres and immobility,” he complains. “For two thousand years people have believed that the sun and all the stars of heaven rotate around mankind.” And everybody believed that “they were sitting motionless inside this crystal sphere.” The Earth was motionless, everything else rotated around it. “But now we are breaking out of it,” Galileo assures his assistant. -
The University of North Carolina at Asheville “A
The University of North Carolina at Asheville “A Great Event, and Even Greater for its Consequences:” Re-examining the Metanarrative of the Galileo Affair A Senior Thesis Submitted to the Faculty of the Department of History in Candidacy for the Degree of Bachelor of Arts in History by William Voit Asheville, North Carolina 21 November, 2003 2 “I urge theologians, scientists, and historians, motivated by a spirit of sincere collaboration, to deepen an examination of the Galileo case, and in a loyal recognition of errors, from whatsoever side they come, put an end to the mistrust to which this affair still gives rise in many minds.” 1 On November 10, 1979, Pope John Paul II spoke these words to the Pontifical Academy of Sciences. 2 In this address, he attempted to mend wounds opened 350 years before by the famous trial of Galileo Galilei, an incident that has come to be known as the Galileo Affair. Galileo’s life and his conflict with the Roman Catholic Church are often cited as the prime example in the metanarrative, or important historical theme, of the “science versus faith” conflict in modern civilization. However, in the attempt to force Galileo into this framework, the personal religious statements of the eminent scientist are often ignored. In order to gain a complete understanding of Galileo’s role in the metanarratives of the early modern age, one must first examine the historiographical data about Galileo, and then follow the development of his relationship with the Church throughout his life. 3 By examining the religious statements of Galileo and his interaction with the Church, one will discover that the Galileo Affair speaks less about the conflict between faith and science, and more about the conflict within a faith, a conflict over scriptural interpretation. -
Copernicus and His Revolutions
Copernicus and his Revolutions Produced for the Cosmology and Cultures Project of the OBU Planetarium by Kerry Magruder August, 2005 2 Credits Written & Produced by: Kerry Magruder Narrator: Candace Magruder Copernicus: Kerry Magruder Cardinal Schönberg: Phil Kemp Andreas Osiander: J Harvey C. S. Lewis: Phil Kemp Johann Kepler: J Harvey Book Images courtesy: History of Science Collections, University of Oklahoma Libraries Photographs and travel slides courtesy: Duane H.D. Roller Archive, History of Science Collections, University of Oklahoma Libraries Digital photography by: Hannah Magruder Soundtrack composed and produced by: Eric Barfield Special thanks to... Peter Barker, Bernie Goldstein, Katherine Tredwell, Dennis Danielson, Mike Keas, JoAnn Palmeri, Hannah Magruder, Rachel Magruder, Susanna Magruder, Candace Magruder Produced with a grant from the American Council of Learned Societies 3 1. Contents 1. Contents________________________________________________3 2. Introduction _____________________________________________4 A. Summary ____________________________________________4 B. Synopsis ____________________________________________5 C. Instructor Notes_______________________________________7 3. Before the Show _________________________________________9 A. Vocabulary and Definitions _____________________________9 B. Pre-Test ____________________________________________10 4. Production Script________________________________________11 A. Production Notes_____________________________________11 B. Theater Preparation___________________________________13 -
Al-Kindi, a Ninth-Century Physician, Philosopher, And
AL-KINDI, A NINTH-CENTURY PHYSICIAN, PHILOSOPHER, AND SCHOLAR by SAMI HAMARNEH FROM 9-12 December, I962, the Ministry of Guidance in Iraq celebrated the thousandth anniversary of one of the greatest intellectual figures of ninth century Baghdad, Abui Yuisuf Ya'qiib ibn Ishaq al-Kind? (Latin Alkindus).1 However, in the aftermath ofthis commendable effort, no adequate coverage of al-Kindl as a physician-philosopher ofardent scholarship has, to my knowledge, been undertaken. This paper, therefore, is intended to shed light on his intel- lectual contributions within the framework of the environment and time in which he lived. My proposals and conclusions are mainly based upon a study of al-Kindi's extant scientific and philosophical writings, and on scattered information in the literature of the period. These historical records reveal that al-Kindi was the only man in medieval Islam to be called 'the philosopher of the Arabs'.2 This honorary title was apparently conferred upon him as early as the tenth century if not during his lifetime in the ninth. He lived in the Abbasids' capital during a time of high achievement. As one of the rare intellectual geniuses of the century, he con- tributed substantially to this great literary, philosophic, and scientific activity, which included all the then known branches of human knowledge. Very little is known for certain about the personal life of al-Kind?. Several references in the literary legacy ofIslam, however, have assisted in the attempt to speculate intelligently about the man. Most historians of the period confirm the fact that al-Kindl was of pure Arab stock and a rightful descendant of Kindah (or Kindat al-Muliuk), originally a royal south-Arabian tribe3. -
The Impact of Copernicanism on Judicial Astrology at the English Court, 1543-1660 ______
Clemson University TigerPrints All Theses Theses 1-2011 'In So Many Ways Do the Planets Bear Witness': The mpI act of Copernicanism on Judicial Astrology at the English Court, 1543-1660 Justin Dohoney Clemson University, [email protected] Follow this and additional works at: https://tigerprints.clemson.edu/all_theses Part of the History of Science, Technology, and Medicine Commons Recommended Citation Dohoney, Justin, "'In So Many Ways Do the Planets Bear Witness': The mpI act of Copernicanism on Judicial Astrology at the English Court, 1543-1660" (2011). All Theses. 1143. https://tigerprints.clemson.edu/all_theses/1143 This Thesis is brought to you for free and open access by the Theses at TigerPrints. It has been accepted for inclusion in All Theses by an authorized administrator of TigerPrints. For more information, please contact [email protected]. "IN SO MANY WAYS DO THE PLANETS BEAR WITNESS": THE IMPACT OF COPERNICANISM ON JUDICIAL ASTROLOGY AT THE ENGLISH COURT, 1543-1660 _____________________________________________________ A Thesis Presented to the Graduate School of Clemson University _______________________________________________________ In Partial Fulfillment of the Requirements for the Degree Master of Arts History _______________________________________________________ by Justin Robert Dohoney August 2011 _______________________________________________________ Accepted by: Pamela Mack, Committee Chair Alan Grubb Megan Taylor-Shockley Caroline Dunn ABSTRACT The traditional historiography of science from the late-nineteenth through the mid-twentieth centuries has broadly claimed that the Copernican revolution in astronomy irrevocably damaged the practice of judicial astrology. However, evidence to the contrary suggests that judicial astrology not only continued but actually expanded during the sixteenth and early seventeenth centuries. During this time period, judicial astrologers accomplished this by appropriating contemporary science and mathematics. -
The Arabic-Latin Translators – Natural Science and Philosophy
CHARLES BURNETT List of Publications Books, and articles over 100 pages long Articles and pamphlets, arranged thematically, and in chronological order within each topic The Arabic-Latin Translators – Natural Science and Philosophy – Astronomy and Astrology - Medicine and Psychology – Magic and Divination – Arithmetic and Geometry – Anglo- Norman Science and Learning in the Twelfth Century – Peter Abelard and the French Schools – Music – Contacts between the West and the Far East – Miscellaneous – Reviews (selection) List of editions of Latin texts in books and articles above (Please note that some diacritical markings are missing) Books, and articles over 100 pages long: 1. Hermann of Carinthia, De essentiis, critical edition, translation and commentary, Leiden, 1982, 385 pp. (reviews in Speculum, 1984, pp. 911–3, Cahiers de civilisation médiévale, 28, 1985, p. 685, Mittellateinisches Jahrbuch, 20, 1985, pp. 287–90, Deutsches Archiv, 41, 1985, p. 255, Rivista di storia della filosofia, 2, 1984, pp. 349–51, Bulletin de théologie ancienne et médiévale, 14, 1989, p. 695). 2. ‘A Checklist of the Manuscripts Containing Writings of Peter Abelard and Heloise and Other Works Closely Associated with Abelard and his School’, Revue d’histoire des textes, 14–15, 1984–5, pp. 183–302 (with David Luscombe and Julia Barrow). 3. Pseudo-Bede, De mundi celestis terrestrisque constitutione: a Treatise on the Universe and the Soul, edition, translation and commentary, Warburg Institute Surveys and Texts 10, London, 1985. 88 pp. (reviews in Isis, 77, 1986, pp. 182–3, Revue d’histoire ecclésiastique, 81, 1986, p. 742, Ambix, 33, 1986, p. 155, Journal of the History of Astronomy, 19, 1988, pp. -
Galilæana Viii
CORE Metadata, citation and similar papers at core.ac.uk Provided by Institutional Research Information System University of Turin BIBLIOTECA DI GALILÆANA VIII COPERNICUS BANNED The Entangled Matter of the anti-Copernican Decree of 1616 edited by Natacha Fabbri and Federica Favino LEO S. OLSCHKI EDITORE MMXVIII Tutti i diritti riservati Casa Editrice Leo S. Olschki Viuzzo del Pozzetto, 8 50126 Firenze www.olschki.it ISBN 978 88 222 6584 5 CONTENTS Introduction . Pag . VII Roberto Bondì, Dangerous Ideas: Telesio, Campanella and Galileo . » 1 Natacha Fabbri, Threats to the Christian Cosmos. The Reckless As- sault on the Heavens and the Debate over Hell . » 29 Franco Motta, Nature, Faith and the Judge of Faith. Some Consid- erations on the Historical-Political Context of Copernicus’ Con- demnation . » 57 Luigi Guerrini, The Archbishop and Astronomy. Alessandro Marzi- medici and the 1604 Supernova . » 101 Federica Favino, Alchemical Implication of 1616 Affaire. On the Par- ish Priest Attavanti, the Knight Ridolfi and the Cardinal Orsini . » 127 Giovanni Pizzorusso, Francesco Ingoli: Knowledge and Curial Ser- vice in 17th-century Rome . » 157 Édouard Mehl, Kepler’s second Copernican Campaign. The Search for an Annual Stellar Parallax after the Roman Decree (1616) . » 191 Rienk Vermij, Copernicanism and the Bible in the Dutch Republic around 1616: a non-debate . » 211 Steven Vanden Broecke, An Astrologer in the World-Systems Debate. Jean-Baptiste Morin on Astrology and Copernicanism (1631-1634) . » 223 Index of Names . » 243 — V — Franco Motta NATURE, FAITH AND THE JUDGE OF FAITH Some Considerations on the Historical-Political Context of Copernicus’ Condemnation 1. The denunciation of Galileo and the first examination of Coperni- canism by the Inquisition The dossier against Galileo that reached the desk of the Prefect of the Index, Cardinal Sfondrati, in February 1615 contains several interest- ing charges. -
The Copernican Revolution Setting Both the Earth and Society in Motion
4/21/2014 The Copernican Revolution Setting both the Earth and Society in Motion David Linton EIU Physics Department November 5, 2013 Drawing an ellipse The Modern Picture of the Solar System . A planet moves in an ellipse with the Sun at one focus. A planet moves fastest when closest to the Sun, slowest when furthest. A planet would travel in a straight line were there not a force to hold it to the Sun – this force is supplied by “Gravity” – an attraction Focus Focus between masses, and weakens with increasing distance. A planet’s axis is “fixed’ in space. (Orbital Period)2 = (Semimajor Axis)3 (This derives from the Law of Gravitation and Newton’s 3 Laws of Motion) 1 4/21/2014 Drawing an ellipse Drawing an ellipse Focus Focus Sun For a planetary orbit, one focus is unoccupied. For a planetary orbit, one focus is unoccupied. 2 4/21/2014 Some Other Things We Now Know . Every planet beyond Earth has more than one moon. Both planets closer to the Sun than Earth have no moons. Comets orbit the Sun also. They are dirty icebergs (or icy dirtballs) orbiting along extremely stretched-out (meaning, highly eccentric) ellipses. Many of the comets we see as they pass near the Sun take many thousands of years to orbit one time. Retrograde Motion – the Heliocentric View Astronomy at Copernicus Birth (1473) . Ancient Greek Philosophers held that Earth was the center of Creation, that everything in the sky must wheel in circles about us. Circles were considered the perfect geometric form, and the Greeks had felt the Heavens to be perfect. -
Inquiry Question Can I Create a Timeline to Show How Trigonometry Developed?
Math: Trigonometry Inquiry Question Can I create a timeline to show how Trigonometry developed? Name: ___________________________ Date: ____________ General Instructions Your task is to draw a timeline that shows the development of trigonometry through the ages. Project submission: • Submit your timeline and the answers to the questions below. 2021-08-04 Page 1 of 3 Math: Trigonometry You will find that there is a lot of information about the history of trigonometry available. Below are some concepts, formulae and Mathematicians that should be on your timeline. You need to show when the following concepts first became recognized: • Measuring angles • 360 degrees in a circle • Observing ratios/lengths using chords in circles • First trigonometric tables • Plimpton 322 • sine and cosine (versine) • tangent • Using the words sine and cosine • Treating trigonometry as a separate discipline of Mathematics • Defining trigonometric ratios in terms of triangles and not circles • Modern abbreviations for sin, cos and tan You need to show when the following formulae were found. • hypotenuse2=side2+side2 or c2=a2+b2 • sin2(x)+cos2(x)=1 • sin(x)=cos(90∘−x) • 1−sin2(x)=cos2(x)=sin(90∘−x) • tan(x)=sin(x)/cos(x) • sin(2x)=2sin(x)cos(x) sin 퐴 sin 퐵 sin 퐶 • = = 푎 푏 푐 Some names that should be mentioned are listed below. Include why these people are important – you may find that they discovered a concept or formulae listed above. It has been shown that there were different cultural contributions to trig, Indicate which group of people these mathematicians belonged to (e.g. Babylonian, Egyptian, Greek/Hellenistic, Indian, Islamic, Chinese, European) • Abu al-Wafa al-Buzjani • Ahmes • Aryabhata • Brahmagupta • Euler • Georg Joachim Rheticus • Hipparchus of Nicea • Muhammad ibn Jabir al-Battini (Albatenius) • Muhammad ibn Musa al-Khwaritmi • Ptolemy • Regiomontanus 2021-08-04 Page 2 of 3 Math: Trigonometry • Varahamihira Section B Answer all of the following questions. -
Preprint N°494
2019 Preprint N°494 The Reception of Cosmography in Vienna: Georg von Peuerbach, Johannes Regiomontanus, and Sebastian Binderlius Thomas Horst Published in the context of the project “The Sphere—Knowledge System Evolution and the Shared Scientific Identity of Europe” https://sphaera.mpiwg-berlin.mpg.de The Reception of Cosmography in Vienna: Georg von Peuerbach, Johannes Regiomontanus, and Sebastian Binderlius1 Abstract In this paper, the importance of the cosmographical activities of the Vienna astronomical “school” for the reception of the Tractatus de Sphaera is analyzed. First, the biographies of two main representatives of the Vienna mathematical/astronomical circle are presented: the Austrian astronomers, mathematicians, and instrument makers Georg von Peuerbach (1423– 1461) and his student Johannes Müller von Königsberg (Regiomontanus, 1436–1476). Their studies influenced the cosmographical teaching at the University of Vienna enormously for the next century and are relevant to understanding what followed; therefore, the prosopo- graphical introductions of these Vienna scholars have been included here, even if neither can be considered a real author of the Sphaera. Moreover, taking the examples of an impressive sixteenth-century miscellany (Austrian Na- tional Library, Cod. ser. nov. 4265, including the recently rediscovered cosmography by Sebastian Binderlius, compiled around 1518), the diversity of different cosmographical studies in the capital of the Habsburg Empire at the turning point between the Middle Ages and the early modern period is demonstrated. Handwritten comments in the Vienna edition of De sphaera (1518) also show how big the influence of Sacrobosco’s work remained as a didactical tool at the universities in the first decades of the sixteenth century—and how cosmographical knowledge was transformed and structured in early modern Europe by the editors and readers of the Sphaera. -
The Copernican System
The Copernican system Jan P. Hogendijk Dept of Mathematics, Utrecht University 8 june 2011 1 Prelude: the 15th century Copernicus: biography Copernicus’ new system: Main Points Copernicus’ new system: Dirty Details The reception of the new system 2 Renaissance Invention of Printing by Johannes Gutenberg (Mainz), ca. 1450: typesetting with movable type, printing press, paper. 3 Most important astronomer of the 15th century Johannes Muller¨ of K¨onigsberg (Bavaria), or Regiomontanus (1436-1476) 4 Biography of Regiomontanus (1436-1476) 1448: Entered University of Leipzig. 1460: Met cardinal Bessarion (from Trebizond), travelled with him to Italy. 1463: completed Epitome of the Almagest (of Ptolemy) [printed 1492]. ca. 1461: made observations of eclipses, etc. which diverged from the predictions by e.g. the Alfonsine tables. 5 Quotation from Regiomontanus (1464) “I cannot [but] wonder at the indolence of common astronomers of our age, who, just as credulous women, receive as something divine and immutable whatever they come upon in books, either of tables of their instructions, for they believe in writers and make no effort to find the truth.” Regiomontanus wanted to restore and “update” Ptolemaic astronomy in order to predict astronomical phenomena accurately. 1471: he founded printing press in Nurnberg,¨ producing mathematical and astronomical works with great accuracy. 6 Product of Regiomontanus’ Press (1472) Novae Theoricae Planetarum, Georg von Peuerbach (1423-1461) 7 Example of Regiomontanus’ own predictions solar and lunar eclipses, 1489, 1490 8 Nicolas Copernicus (1473-1543): biography 1473 Torun (Poland) - 1543 Frauenburg = Frombork (now in Poland, near coast and Russian border) Studied at the University of Krakow. Worked in service of the Catholic Church until his death.