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The Origins of the Ptolemaic Tradition and Its Adoption and Replacement in Colonial America
The Origins of the Ptolemaic Tradition and its Adoption and Replacement in Colonial America Master Thesis By Ben Baumann 11592583 June 2018 University of Amsterdam Graduate School of Humanities Master’s Program in Classics and Ancient Civilizations: Ancient Studies First Supervisor: Dr. Jan Willem van Henten Second Supervisor: Dr. Fred Spier Baumann 1 I. Introduction The mapping of the universe and the attempt to understand the cosmos through scholarly investigation has been a constant endeavor of the human race since ancient times. This investigation is known as cosmography. In this thesis, I will analyze how early Colonial American scholars made sense of ancient Greek understandings of cosmography. In particular, I will focus on the way these Greek ideas shaped American thinking not only about the cosmos itself, but also about the way cosmographic understanding became intertwined with views about God and theology. When they first arrived in North America, Colonial Americans generally had a cosmography that was based on the Ptolemaic tradition. But, once they became established in the new world, and especially after the founding of Harvard University, a cosmographic revolution taking place in Europe would begin to resonate in the so-called New World. Thus, some Colonial American scholars willingly engaged in contemplation of the new outlook and proved receptive to the ideas of Nicolas Copernicus. Not surprisingly, in a land where scientific and religious thought overlapped so extensively, this caused heated scholarly debate over the topic and even resulted in student protests at Harvard University. The record of these debates can be traced back to the 17th-century writings of Colonial America, such as several astronomical almanacs, that since have been preserved as vitally significant artifacts of intellectual life in the colonies. -
Core Reading List for M.A. in German Period Author Genre Examples
Core Reading List for M.A. in German Period Author Genre Examples Mittelalter (1150- Wolfram von Eschenbach Epik Parzival (1200/1210) 1450) Gottfried von Straßburg Tristan (ca. 1210) Hartmann von Aue Der arme Heinrich (ca. 1195) Johannes von Tepl Der Ackermann aus Böhmen (ca. 1400) Walther von der Vogelweide Lieder, Oskar von Wolkenstein Minnelyrik, Spruchdichtung Gedichte Renaissance Martin Luther Prosa Sendbrief vom Dolmetschen (1530) (1400-1600) Von der Freyheit eynis Christen Menschen (1521) Historia von D. Johann Fausten (1587) Das Volksbuch vom Eulenspiegel (1515) Der ewige Jude (1602) Sebastian Brant Das Narrenschiff (1494) Barock (1600- H.J.C. von Grimmelshausen Prosa Der abenteuerliche Simplizissimus Teutsch (1669) 1720) Schelmenroman Martin Opitz Lyrik Andreas Gryphius Paul Fleming Sonett Christian v. Hofmannswaldau Paul Gerhard Aufklärung (1720- Gotthold Ephraim Lessing Prosa Fabeln 1785) Christian Fürchtegott Gellert Gotthold Ephraim Lessing Drama Nathan der Weise (1779) Bürgerliches Emilia Galotti (1772) Trauerspiel Miss Sara Samson (1755) Lustspiel Minna von Barnhelm oder das Soldatenglück (1767) 2 Sturm und Drang Johann Wolfgang Goethe Prosa Die Leiden des jungen Werthers (1774) (1767-1785) Johann Gottfried Herder Von deutscher Art und Kunst (selections; 1773) Karl Philipp Moritz Anton Reiser (selections; 1785-90) Sophie von Laroche Geschichte des Fräuleins von Sternheim (1771/72) Johann Wolfgang Goethe Drama Götz von Berlichingen (1773) Jakob Michael Reinhold Lenz Der Hofmeister oder die Vorteile der Privaterziehung (1774) -
Az Óvatos Copernicus. a De Revolutionibus Orbium Coelestium
IX. évf. $%&'/(. Vassányi Miklós Az óvatos Copernicus A De revolutionibus orbium coelestium polifón előszavai, elhallgatott bevezetése és korai egyházi kritikája1 1. Kérdésfelvetés Nicolaus Copernicus (Mikołaj Kopernik, 1473–1543)2 legismertebb műve, a De revolutionibus orbium coelestium (Az égi körpályák forgásairól)3 1543-as publikálását meg- előzte egyfelől a tőle magától származó, De hypothesibus motuum caelestium a se constitutis commentariolus (Rövid magyarázat az égi mozgásokról a szerző által felállított hipotézisek- 1 A tanulmány megírását a Hungarian-American Fulbright Commission 2017-es kutatói ösztöndíja tette lehetővé. A szerző ezúton is hálás köszönetét fejezi ki a Hungarian-American Fulbright Com- missionnek az ösztöndíjért; valamint Szénási Rékának a szakirodalom feldolgozásában nyújtott segít- ségéért. 2 Copernicus életrajzához ld. J. DoBrzyCki: „Nicolaus Copernicus – His Life and Work.” In B. BieńkoWska (szerk.): $e Scientific World of Copernicus. On the Occasion of the 500th Occasion of His Birth 1473–1973, Dordrecht (Holland)–Boston (USA), D. Reidel Publishing Company, 1973, 13–37; és a Nicolaus Copernicus Gesamtausgabe VI/1-2 (Documenta Copernicana) kötetében kiadott elsődleges, valamint a IX. (Die Copernicus-Biographien des 16. bis 18. Jahrhunderts) kötetében kiadott másodlagos forrásokat (Berlin, Akademie-Verlag, 2009 és 2004). 3 Editio princeps: Nicolai Copernici Torinensis de revolvtionibvs orbium coelestium, Libri VI. Norimbergae apud Ioh. Petreium, Anno MDXLIII. A címben szereplő orbis szó „körpálya”-ként való fordításáról ld. az alant közölt szemelvény lábjegyzetét, amely szerint ez a fogalom megkülönböztetendő a sphaera fogalmától (jóllehet hagyományosan azonosítani szokás azzal), illetve különösen F. Ross- mann magyarázatát: „Die orbes müßten sich auch, wenn sie als Sphären zu denken wären, wiederholt durchschneiden, was mit Starrheit schwer zu vereinbaren ist. -
UC San Diego UC San Diego Electronic Theses and Dissertations
UC San Diego UC San Diego Electronic Theses and Dissertations Title The science of the stars in Danzig from Rheticus to Hevelius / Permalink https://escholarship.org/uc/item/7n41x7fd Author Jensen, Derek Publication Date 2006 Peer reviewed|Thesis/dissertation eScholarship.org Powered by the California Digital Library University of California 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 .......................................................................................................... -
The Awareness of Time and Eternity in the German Lyrics of Andreas
THE AWARENESS 01 TIME AND ETEINITY IT THE GERMkN LYRICS OF ANDREAS CRYPHIUS by Edith Katherine Evenhuis B.A. Honours, submittea in fulfilment of the requirements for the degree of Doctor of Philosophy, University of Tasmania, NovPmber 1975. T MKS ^ Record Copy STATEMENT I, the undersigned, herewith declare that the following thesis contains no material which has been accepted for the award of any other degree or diploma in any university, and that, to the best of my knowledge and belief, the thesis contains no copy or paraphrase of material previously published or written by another person, except when due reference is made in the text of the thesis. PC• v. 44111444- 5 TABLE OF COT:TENTS: INTRODUCTION. Page 1. CHAPTER I. The life and Background of Andreas Gryphius. Page 3. CHAPTER II. The Awareness of Time and Eternity in Gryphius' Works. Page 15. CHAPTER III. The Awareness of Transience. Page 29. CHAPTER IV. The Awareness of Human Transience. Page CHAPTER V. The Transience of Human Values. Page 14. CHAPTER VI. The Concept of Human Life. Page 1;9. CHAPTER VII. The Uonquest of Time. Page 167. CHAPTER VIII. The Awareness of Time and Eternity as refle:tted in Structure and Imagery. Page 1814.. CHAPTER IX. The Awareness of Time and Eternity reflected In Gryph's Uf3e of Allegory and Emblem. Page 229. CONCLUSION. Page 24..S. Selective Bibliography in Alphabetical Order. Page 2!!.9. Bibliography of Primarv Sources. Page 260„ THE AWARENESS OF TIME AND ETERNITY IN THE GERMAN LYRICS OF ANDREAS GRYPHIUS Abstract of Thesis submitted by Edith Katherine Evenhuis B.A. -
Martin Opitz: Patria – Nation – Europäische Renaissance Neue Biographische Forschungen Zur Stellung Des 'Gekrönten' in Der Literaturgeschichte
Digitale Bibliothek Braunschweig Martin Opitz: Patria – Nation – Europäische Renaissance Neue biographische Forschungen zur Stellung des 'Gekrönten' in der Literaturgeschichte Conermann, Klaus Veröffentlicht in: Abhandlungen der Braunschweigischen Wissenschaftlichen Gesellschaft Band 64, 2011, S.37-62 J. Cramer Verlag, Braunschweig http://www.digibib.tu-bs.de/?docid=00049020 Digitale Bibliothek Braunschweig Martin Opitz: Patria – Nation – Europäische Renaissance 37 Martin Opitz: Patria – Nation – Europäische Renaissance Neue biographische Forschungen zur Stellung des 'Gekrönten' in der Literaturgeschichte* KLAUS CONERMANN Schlossplatz 18, D-38304 Wolfenbüttel Seine Zeitgenossen haben Martin Opitz von Boberfeld (1597–1639) nach sei- nem niederschlesischen Heimatfluß als Boberschwan tituliert, ihn als Stifter der neuen deutschen Kunstdichtung mit Vergil verglichen und als Vertreter der Renaissance gar als einen zweiten Phönix gepriesen. Im Sprachgebrauch des deutschen 17. Jahrhundert wurden die Verben dichten und opitzieren synonym verwendet. Die Fruchtbringende Gesellschaft verlieh Opitz durch dem Beina- men ,Der Gekrönte’ als Dichter, der „reimend vnsre sprach/ ob andern mehrt vnd ziert“,1 geradezu einen nationalen Rang. Als humanistischer Poeta rückte er auch durch lateinische Gedichte, einen weitgespannten Briefwechsel und durch gelehrte Arbeiten über das deutsche, polnische und siebenbürgische Altertum in einen europäischen Kontext. Es gab freilich auch schon im 17. Jahrhundert Kritiker; sie vermochten die Anerken- nung von Opitz’ -
9. Gundolf's Romanticism
https://www.openbookpublishers.com © 2021 Roger Paulin This work is licensed under a Creative Commons Attribution 4.0 International license (CC BY 4.0). This license allows you to share, copy, distribute and transmit the text; to adapt the text and to make commercial use of the text providing attribution is made to the authors (but not in any way that suggests that they endorse you or your use of the work). Attribution should include the following information: Roger Paulin, From Goethe to Gundolf: Essays on German Literature and Culture. Cambridge, UK: Open Book Publishers, 2021, https://doi.org/10.11647/OBP.0258 Copyright and permissions for the reuse of many of the images included in this publication differ from the above. Copyright and permissions information for images is provided separately in the List of Illustrations. In order to access detailed and updated information on the license, please visit, https://doi.org/10.11647/OBP.0258#copyright Further details about CC-BY licenses are available at, https://creativecommons.org/ licenses/by/4.0/ All external links were active at the time of publication unless otherwise stated and have been archived via the Internet Archive Wayback Machine at https://archive.org/web Updated digital material and resources associated with this volume are available at https://doi.org/10.11647/OBP.0258#resources Every effort has been made to identify and contact copyright holders and any omission or error will be corrected if notification is made to the publisher. ISBN Paperback: 9781800642126 ISBN Hardback: 9781800642133 ISBN Digital (PDF): 9781800642140 ISBN Digital ebook (epub): 9781800642157 ISBN Digital ebook (mobi): 9781800642164 ISBN Digital (XML): 9781800642171 DOI: 10.11647/OBP.0258 Cover photo and design by Andrew Corbett, CC-BY 4.0. -
Copernicus and Tycho Brahe
THE NEWTONIAN REVOLUTION – Part One Philosophy 167: Science Before Newton’s Principia Class 2 16th Century Astronomy: Copernicus and Tycho Brahe September 9, 2014 TABLE OF CONTENTS I. The Copernican Revolution .................................................................................................................. 1 A. Ptolemaic Astronomy: e.g. Longitudes of Mars ................................................................... 1 B. A Problem Raised for Philosophy of Science ....................................................................... 2 C. Background: 13 Centuries of Ptolemaic Astronomy ............................................................. 4 D. 15th Century Planetary Astronomy: Regiomantanus ............................................................. 5 E. Nicolaus Copernicus: A Brief Biography .............................................................................. 6 F. Copernicus and Ibn al-Shāţir (d. 1375) ……………………………………………………. 7 G. The Many Different Copernican Revolutions ........................................................................ 9 H. Some Comments on Kuhn’s View of Science ……………………………………………... 10 II. De Revolutionibus Orbium Coelstium (1543) ..................................................................................... 11 A. From Basic Ptolemaic to Basic Copernican ........................................................................... 11 B. A New Result: Relative Orbital Radii ................................................................................... 12 C. Orbital -
Johannes Kepler
PORTRAIT I FAMOUS OPTICIAN Johannes Kepler The German mathematician and astronomer MAIN DATES Johannes Kepler is above all famous for discovering the eponymous laws governing planetary motion. Born 27 December 1571, Weil der Stadt (Germany) Combining Tycho Brahe’s meticulous observations 1601 Mathematicus imperialis, Prague and his own theoretical predictions, his astronomical 1609 First two Kepler laws tables were some of the most enduringly accurate 1611 Dioptricae publication ever established. They provided a firm footing for 1619 The Harmony of the World's third law Copernican theory in the face of the then universally Deceased 15 November 1630, Regensburg (Germany) acknowledged model of a geocentric universe. Despite A portrait of Johannes Kepler poor eyesight that prevented him from carrying out original experimental research, he became a major figure in the field of optics, overhauling all introduce him to the heliocentric theory put forward by its fundamental concepts and developing a sound Nicolaus Copernicus [1473-1543]. In a world dominated by mathematical approach that supported Galileo’s first the Church and the geocentric model devised by Claudius telescopic observations. Ptolemy [ca. AD 90 – ca. 168], which placed the Earth at the centre of the universe, this act was nothing short of unlaw- Riad HAIDAR, [email protected] ful. However, his teacher’s arguments were so compelling and the reasoning so seductive that Kepler soon became a convinced Copernican. As this new stance was obviously ohannes Kepler was born on 27 December 1571 to a incompatible with the role of a pastor, Kepler abandoned his family of modest means in the town of Weil der Stadt. -
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 Golden Ratio
IOSR Journal Of Applied Physics (IOSR-JAP) e-ISSN: 2278-4861.Volume 12, Issue 2 Ser. II (Mar. – Apr. 2020), PP 36-57 www.Iosrjournals.Org The Golden Ratio Nafish Sarwar Islam Abstract:This paper is all about golden ratio Phi = 1.61803398874989484820458683436563811772030917980576286213544862270526046281890 244970720720418939113748475408807538689175212663386222353693179318006076672635 443338908659593958290563832266131992829026788067520876689250171169620703222104 321626954862629631361443814975870122034080588795445474924618569536486444924104 432077134494704956584678850987433944221254487706647809158846074998871240076521 705751797883416625624940758906970400028121042762177111777805315317141011704666 599146697987317613560067087480710131795236894275219484353056783002287856997829 778347845878228911097625003026961561700250464338243776486102838312683303724292 675263116533924731671112115881863851331620384005222165791286675294654906811317 159934323597349498509040947621322298101726107059611645629909816290555208524790 352406020172799747175342777592778625619432082750513121815628551222480939471234 145170223735805772786160086883829523045926478780178899219902707769038953219681 986151437803149974110692608867429622675756052317277752035361393621076738937645 560606059216589466759551900400555908950229530942312482355212212415444006470340 565734797663972394949946584578873039623090375033993856210242369025138680414577 995698122445747178034173126453220416397232134044449487302315417676893752103068 737880344170093954409627955898678723209512426893557309704509595684401755519881 -
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.