Copernicus's Heliocentric System a Thesis Submitted T
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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 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 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. -
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. -
The (Likely) Last Edition of Copernicus's Libri Revolutionum
Variants The Journal of the European Society for Textual Scholarship 14 | 2019 Varia The (likely) Last Edition of Copernicus’s Libri revolutionum André Goddu Electronic version URL: http://journals.openedition.org/variants/908 DOI: 10.4000/variants.908 ISSN: 1879-6095 Publisher European Society for Textual Scholarship Printed version Number of pages: 159-178 ISSN: 1573-3084 Electronic reference André Goddu, « The (likely) Last Edition of Copernicus’s Libri revolutionum », Variants [Online], 14 | 2019, Online since 10 July 2019, connection on 12 July 2019. URL : http://journals.openedition.org/ variants/908 ; DOI : 10.4000/variants.908 The authors The (likely) Last Edition of Copernicus’ Libri revolutionum André Goddu Review essay of Nicolas Copernic, De revolutionibus orbium coelestium, Des revolu- tions des orbes célestes. 3 volumes. Science et Humanisme, Collection published under the patronage of the Association Guillaume Budé (Paris: Les Belles Lettres, 2015). Vol. I: Introduction by Michel-Pierre Lerner and Alain-Philippe Segonds with the collaboration of Concetta Luna, Isabelle Pantin, and Denis Savoie, xxviii + 859 pp. Vol. II: Critical Edition and translation by Lerner, Segonds, and Jean-Pierre Verdet with the collaboration of Concetta Luna, viii + 537 pp. with French and Latin on facing pages and with the same page numbers. Vol. III: Notes, appendices, iconographic dossier, and general index by Lerner, Segonds, and Verdet with the collaboration of Luna, Savoie, and Michel Toulmonde, xviii + 783 pp. and 34 plates. T C’ , probably the last for the foresee- able future, represents the culmination of efforts that can be traced back to 1973. The two fundamental sources of De revolutionibus are Copernicus’s auto- graph copy which survived by sheer luck and the first edition published in Nuremberg in 1543. -
The Reception of the Copernican Revolution Among Provençal Humanists of the Sixteenth and Seventeenth Centuries*
The Reception of the Copernican Revolution Among Provençal Humanists of the Sixteenth and Seventeenth Centuries* Jean-Pierre Luminet Laboratoire d'Astrophysique de Marseille (LAM) CNRS-UMR 7326 & Centre de Physique Théorique de Marseille (CPT) CNRS-UMR 7332 & Observatoire de Paris (LUTH) CNRS-UMR 8102 France E-mail: [email protected] Abstract We discuss the reception of Copernican astronomy by the Provençal humanists of the XVIth- XVIIth centuries, beginning with Michel de Montaigne who was the first to recognize the potential scientific and philosophical revolution represented by heliocentrism. Then we describe how, after Kepler’s Astronomia Nova of 1609 and the first telescopic observations by Galileo, it was in the south of France that the New Astronomy found its main promotors with humanists and « amateurs écairés », Nicolas-Claude Fabri de Peiresc and Pierre Gassendi. The professional astronomer Jean-Dominique Cassini, also from Provence, would later elevate the field to new heights in Paris. Introduction In the first book I set forth the entire distribution of the spheres together with the motions which I attribute to the earth, so that this book contains, as it were, the general structure of the universe. —Nicolaus Copernicus, Preface to Pope Paul III, On the Revolution of the Heavenly Spheres, 1543.1 Written over the course of many years by the Polish Catholic canon Nicolaus Copernicus (1473–1543) and published following his death, De revolutionibus orbium cœlestium (On the Revolutions of the Heavenly Spheres) is regarded by historians as the origin of the modern vision of the universe.2 The radical new ideas presented by Copernicus in De revolutionibus * Extended version of the article "The Provençal Humanists and Copernicus" published in Inference, vol.2 issue 4 (2017), on line at http://inference-review.com/. -
How Researchers Make Valuable Chemicals from Green Electricity and CO2 → P. 10 Digital Gmbh: Getting Closer to the Customers
ELEMENTS Research. Knowledge. The future. Bring on the CO2 1/2018 How researchers make valuable chemicals from green electricity and CO2 → p. 10 Digital GmbH: Getting closer to the customers → p. 28 Implants: Intelligent healing for broken bones → p. 46 LEXICON Georg Joachim Rheticus Astronomer and mathematician Georg Joachim Rheticus (* February 16, 1514 in Feldkirch; † December 4, 1574 in Kaschau) was an astronomer and a mathematician. Rheticus was one of the first scholars to disseminate the heliocentric theory of Nicolaus Copernicus, according to which the sun—in contrast to the Christian doctrine of that era—does not orbit the Earth. He studied with Copernicus, an astronomer and physician, for two years as his sole student, encouraging him to complete his work and publish it. In 1551 Rheticus published the most significant of his own works, the Canon doctrinae triangulorum, which included many trigonometric tables. Feldkirch: city in Vorarlberg (Austria) Kaschau: now Košice (Slovakia) Nicolaus Copernicus: astronomer, 1473–1543 → You can read more about the Rheticus project on page 10 ff. 02 EDITORIAL DEAR READERS, In the new Evonik magazine ELEMENTS, we are conducting an experi- ment. We’ll present the same kind of science journalism you’re already familiar with from the old ELEMENTS, but now we’ll be putting it into a social, economic, and political context. We will continue to report on the latest research and innovation from Evonik—and we’ll also ask questions about its social relevance. What kind of impact will this innovation have on my life? Who will benefit from it? And where will it be used in the future? We won’t be the only ones answering these questions. -
Bulletin 26Iii Sonderegger
UNEXPECTED ASPECTS OF ANNIVERSARIES or: Early sundials, widely travelled HELMUT SONDEREGGER his year my hometown, Feldkirch in Germany, cel- Iserin was appointed town physician and all of his family ebrates the 500th anniversary of Rheticus. He was were accepted as citizens of Feldkirch. Georg, a man with T the man who published the first report on Coperni- widespread interests, owned a considerable number of cus’s new heliocentric view of the world. Subsequently, he books and a collection of alchemical and medical instru- helped Copernicus complete his manuscript for publication ments. Over the years, superstitious people suspected this and arranged its printing in Nürnberg. When I planned my extraordinary man of being a sorcerer in league with attendance at the BSS Conference 2014 at Greenwich, I sources of darkness. asked myself if there could be any connections between the A few weeks before his appointment as town physician, on th th 25 BSS anniversary and the 500 anniversary of Rheticus’ 16 Feb 1514, his only son Georg Joachim was born. When birth. And now in fact, I have found a really interesting the son was 14 his father was accused of betraying his story! patients and, additionally, of being a swindler and klepto- maniac. He was sentenced to death and subsequently Feldkirch 500 Years Ago beheaded by the sword. His name Iserin was officially Feldkirch, a small district capital of about 30,000 people, is erased by so-called ‘damnatio memoriae’. His wife and situated in the very west of Austria close to Switzerland children changed their name to the mother’s surname. -
Recasting the Heavens
COMMENT BOOKS & ARTS icolaus Copernicus (1473–1543) was a quintessential unifier. He gathered the planets around a Ncentral Sun, thereby inventing the Solar System. The grand challenge facing biog- raphers of Copernicus is that few personal details survive. Was he gregarious? Did he have a girlfriend in his youth? When did he become interested in the stars? Because the historical record answers none of these questions, some authors have resorted to STOCK GEOGRAPHIC J.-L. HUENS/NATIONAL fiction. In A More Perfect Heaven, science historian Dava Sobel has it both ways. The first third of the book is strictly his- torical. It traces Copernicus’s life from his birth in Polish Toruń, to his undergraduate studies in Kraków and graduate work in Italy, and to his career as a legal, medical and administrative officer in the northernmost Catholic diocese of Poland. Sobel makes par- ticularly effective use of the records surviv- ing from when Canon Copernicus was the rent collector for the Frauenburg cathedral chapter’s vast land holdings. To fill the nar- rative, she occasionally quotes from John Banville’s novel “The grand Doctor Copernicus challenge facing (W. W. Norton, biographers 1976), but always of Copernicus makes clear that is that few those reconstruc- personal details tions are not taken survive.” from archival sources. What Sobel achieves is a brilliant chronological account — the best in the literature — laying out the stages of Copernicus’s administrative career. Having reached Copernicus’s final years, when publication of his still unfinished man- uscript seemed to have stalled, Sobel takes a new tack. -
Copernicus' First Friends: Physical Copernicanism
Filozofski vestnik Volume/Letnik XXV • Number/Številka 2 • 2004 • 143–166 COPERNICUS’ FIRST FRIENDS: PHYSICAL COPERNICANISM FROM 1543 TO 1610 Katherine A. Tredwell and Peter Barker Early assessments of the Copernican Revolution were hampered by the failure to understand the nature of astronomy in the sixteenth century, as scholars took statements made in praise of Copernicus to be implicit endorsements of his heliocentric cosmology. Gradually this view has been supplanted by the ac- knowledgement that many supposed partisans of Copernicus only endorsed the use of his astronomical models for the calculation of apparent planetary positions, while rejecting or remaining silent on the reality of heliocentrism. A classic example of this shift in historiography concerns Erasmus Reinhold (1511–1553), a professor of mathematics at the University of Wittenberg. Re- inhold’s use of Copernican models in his Prutenic Tables (Tabulae prutenicae, 1551) has led to the mistaken belief that he sanctioned a Sun-centered cos- mology as well. Careful reassessment of his published writings has revealed that he commended certain aspects of Copernicus’ work, such as the elimi- nation of the equant, but showed no interest in heliocentrism (Westman, 1975: pp. 174–178). Other supposed Copernicans, such as Robert Recorde (c. 1510–1558), expressed some openness to the Earth’s motion but left no clear indication of what they thought to be the true system of the world (Rus- sell, 1972: pp. 189–191). Between the publication of Copernicus’ epoch-making book On the Revo- lutions of the Celestial Orbs (De revolutionibus orbium coelestium) in 1543 and the year 1610, only a handful of individuals can be identified with certainty as Copernicans, in the sense that they considered heliocentrism to be physically real and not merely a calculational convenience.