Copernicus'hispalensis
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The Mathematical Work of John Napier (1550-1617)
BULL. AUSTRAL. MATH. SOC. 0IA40, 0 I A45 VOL. 26 (1982), 455-468. THE MATHEMATICAL WORK OF JOHN NAPIER (1550-1617) WILLIAM F. HAWKINS John Napier, Baron of Merchiston near Edinburgh, lived during one of the most troubled periods in the history of Scotland. He attended St Andrews University for a short time and matriculated at the age of 13, leaving no subsequent record. But a letter to his father, written by his uncle Adam Bothwell, reformed Bishop of Orkney, in December 1560, reports as follows: "I pray you Sir, to send your son John to the Schools either to France or Flanders; for he can learn no good at home, nor gain any profit in this most perilous world." He took an active part in the Reform Movement and in 1593 he produced a bitter polemic against the Papacy and Rome which was called The Whole Revelation of St John. This was an instant success and was translated into German, French and Dutch by continental reformers. Napier's reputation as a theologian was considerable throughout reformed Europe, and he would have regarded this as his chief claim to scholarship. Throughout the middle ages Latin was the medium of communication amongst scholars, and translations into vernaculars were the exception until the 17th and l8th centuries. Napier has suffered badly through this change, for up till 1889 only one of his four works had been translated from Latin into English. Received 16 August 1982. Thesis submitted to University of Auckland, March 1981. Degree approved April 1982. Supervisors: Mr Garry J. Tee Professor H.A. -
Mathematicians
MATHEMATICIANS [MATHEMATICIANS] Authors: Oliver Knill: 2000 Literature: Started from a list of names with birthdates grabbed from mactutor in 2000. Abbe [Abbe] Abbe Ernst (1840-1909) Abel [Abel] Abel Niels Henrik (1802-1829) Norwegian mathematician. Significant contributions to algebra and anal- ysis, in particular the study of groups and series. Famous for proving the insolubility of the quintic equation at the age of 19. AbrahamMax [AbrahamMax] Abraham Max (1875-1922) Ackermann [Ackermann] Ackermann Wilhelm (1896-1962) AdamsFrank [AdamsFrank] Adams J Frank (1930-1989) Adams [Adams] Adams John Couch (1819-1892) Adelard [Adelard] Adelard of Bath (1075-1160) Adler [Adler] Adler August (1863-1923) Adrain [Adrain] Adrain Robert (1775-1843) Aepinus [Aepinus] Aepinus Franz (1724-1802) Agnesi [Agnesi] Agnesi Maria (1718-1799) Ahlfors [Ahlfors] Ahlfors Lars (1907-1996) Finnish mathematician working in complex analysis, was also professor at Harvard from 1946, retiring in 1977. Ahlfors won both the Fields medal in 1936 and the Wolf prize in 1981. Ahmes [Ahmes] Ahmes (1680BC-1620BC) Aida [Aida] Aida Yasuaki (1747-1817) Aiken [Aiken] Aiken Howard (1900-1973) Airy [Airy] Airy George (1801-1892) Aitken [Aitken] Aitken Alec (1895-1967) Ajima [Ajima] Ajima Naonobu (1732-1798) Akhiezer [Akhiezer] Akhiezer Naum Ilich (1901-1980) Albanese [Albanese] Albanese Giacomo (1890-1948) Albert [Albert] Albert of Saxony (1316-1390) AlbertAbraham [AlbertAbraham] Albert A Adrian (1905-1972) Alberti [Alberti] Alberti Leone (1404-1472) Albertus [Albertus] Albertus Magnus -
Polymathy Duncan Liddel Cmstyle
Edinburgh Research Explorer A pragmatic aspect of polymathy Citation for published version: Henry, J 2016, A pragmatic aspect of polymathy: The alliance of Mathematics and Medicine in Liddel’s time. in K Friedrich & PD Omodeo (eds), Duncan Liddel (1561-1613): Networks of Polymathy and the Northern European Renaissance. Scientific and Learned Cultures and Their Institutions, vol. 17, Brill, Leiden. Link: Link to publication record in Edinburgh Research Explorer Document Version: Peer reviewed version Published In: Duncan Liddel (1561-1613) 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: 29. Sep. 2021 A Pragmatic Aspect of Polymathy: The Alliance of Mathematics and Medicine in Liddel’s Time John Henry [to be published in: Karin Friedrich and Pietro Daniel Omodeo (eds), Polymathy in the Northern European Renaissance: Duncan Liddel (1561-1613) in Context (Leiden: Brill, Forthcoming 2015).] In a world where academic study is highly specialized, and high achievement seems to be possible only to those, like Melville’s Captain Ahab, whose “fixed purpose is laid with iron rails”,1 and who pursue the discipline which is their obsessive quarry in a single-minded way, it is easy to regard polymathy as a desirable alternative. -
1. Quellen 2. Geozentrische Weltbilder 2.1 Heutige Naive Vorstellung 2.2
1. Quellen 2. Geozentrische Weltbilder 2.1 Heutige naive Vorstellung 2.2 Epizykel 2.3 Exzenter Alfred Holl 2.4 Untere Planeten Weltmodelle im Mittelalter 3. Heliozentrisch-geostationär 4. Heliozentrisch-heliostationär Vom geozentrischen zum heliozentrischen Weltbild 5. Astronomische Tafeln (Erfurt CA 2° 19, 78v) Alfred Holl, Weltmodelle 09.03.2013/1 1. Quellen 1.1 Deutsche Sphära Konrad von Megenberg (~1309-1374) Deutsche Sphära wahrscheinlich zwischen 1340 und 1349 in Wien Cgm 156, Cgm 328, Graz II/470 ed. Matthaei 1912 ed. Brévart 1980 (Deutsche Sphaera, Cgm 156, 1r aus Mai, Paul: Ausstellungskatalog, 2009, 155) Alfred Holl, Weltmodelle 09.03.2013/2 1. Quellen Quellen (alle basierend auf Ptolemaios): 1.1 Deutsche Sphära Johannes von Sacrobosco (~1200-~1256) Tractatus de sphaera materiali 1233 Entstehung bis in 16. Jh. universitäre Astronomie-Einführung (ed. Thorndyke 1949, Brévart 1980) auf der Basis von al-Fargani (~863), De scientia astrorum übers. von Johannes Hispalensis (akt. 1135-1153) (ed. Campani 1910, Carmody 1943) al-Battani (-929), Opus astronomicum / Zig übersetzt von Plato von Tivoli (aktiv 1134-1145) (ed. Nallino 1903) Kommentare zu Sacrobosco (z.B. Cecco d’Ascoli) (Cgm 156, 1r) Puechlein von der Spera (~1375) (ed. Brévart 1979) Alfred Holl, Weltmodelle 09.03.2013/3 1. Quellen 1.2 Französische volkssprachliche Sphära Nicole Oresme (~1323-1382) Traité de l’espère (zwischen 1362 und 1377) (ed. Myers 1940, McCarthy 1943) ebenfalls auf der Basis von Johannes von Sacrobosco Nicole Oresme mit Armillarsphäre (www.nicole-oresme.com) (Bibliothèque Nationale, Paris, France, fonds français 565, fol. 1r) Alfred Holl, Weltmodelle 09.03.2013/4 1. Quellen 1.3 Autoren und Übersetzer Adelhard von Bath Adelhard (-1142) Gerhard von Cremona (-1187) Plato von Tivoli / Tiburtinus (-1145) Robert von Chester / Reading (-1150) / Hisp. -
The History of Arabic Sciences: a Selected Bibliography
THE HISTORY OF ARABIC SCIENCES: A SELECTED BIBLIOGRAPHY Mohamed ABATTOUY Fez University Max Planck Institut für Wissenschaftsgeschichte, Berlin A first version of this bibliography was presented to the Group Frühe Neuzeit (Max Planck Institute for History of Science, Berlin) in April 1996. I revised and expanded it during a stay of research in MPIWG during the summer 1996 and in Fez (november 1996). During the Workshop Experience and Knowledge Structures in Arabic and Latin Sciences, held in the Max Planck Institute for the History of Science in Berlin on December 16-17, 1996, a limited number of copies of the present Bibliography was already distributed. Finally, I express my gratitude to Paul Weinig (Berlin) for valuable advice and for proofreading. PREFACE The principal sources for the history of Arabic and Islamic sciences are of course original works written mainly in Arabic between the VIIIth and the XVIth centuries, for the most part. A great part of this scientific material is still in original manuscripts, but many texts had been edited since the XIXth century, and in many cases translated to European languages. In the case of sciences as astronomy and mechanics, instruments and mechanical devices still extant and preserved in museums throughout the world bring important informations. A total of several thousands of mathematical, astronomical, physical, alchemical, biologico-medical manuscripts survived. They are written mainly in Arabic, but some are in Persian and Turkish. The main libraries in which they are preserved are those in the Arabic World: Cairo, Damascus, Tunis, Algiers, Rabat ... as well as in private collections. Beside this material in the Arabic countries, the Deutsche Staatsbibliothek in Berlin, the Biblioteca del Escorial near Madrid, the British Museum and the Bodleian Library in England, the Bibliothèque Nationale in Paris, the Süleymaniye and Topkapi Libraries in Istanbul, the National Libraries in Iran, India, Pakistan.. -
Islamic Mathematics
Islamic mathematics Bibliography of Mathematics in Medieval Islamic Civilization Version 13 January 1999. This bibliography is a revised, enlarged and updated version of the bibliography on Islamic mathematics by Richard Lorch on pp. 65-86 of Joseph W. Dauben's The History of Mathematics from Antiquity to the Present: A Selective Bibliography, New York and London: Garland, 1985. This bibliography of Islamic mathematics will appear as a chapter in the updated (1999?) version of Dauben's book which will be made available as a CD-Rom. Reactions and suggestions are very welcome, and can be sent to [email protected]. In this preliminary form, no attention has been paid to diacritical marks in Arabic names. The items in the bibliography have been numbered *1, *2, ... *122, *122a, *122b, *123 etc. and many cross-references have been provided. General Introduction Introductory Works Bibliographies and Handbooks Illustrated Works Texts and Commentaries (Specific Authors in Chronological Order) Studies on Specific Subjects Transmission of Mathematics Mathematics in Specific Areas in the Islamic World Arithmetic Irrational Magnitudes Algebra Number Theory, Indeterminate Equations and Magic Squares Geometry Trigonometry Timekeeping Interpolation, Tables, Analysis of Tables Cultural Context: Islamic Aspects Mathematical Astronomy and Astrology Instruments Mathematics, Art and Architecture Optics Geography Reprinted Works and Collections of Articles General Introduction file:///P|/Igitur%20archief_repository/PR&beleid%20Ig...bsites/HOGENDIJK/hogendijk_00_islamic_mathematics.htm (1 van 33)12-2-2007 14:36:27 Islamic mathematics Islamic mathematics and Arabic mathematics are modern historical terms for the mathematical sciences in Islamic civilization from the beginning of Islam (A.D. 622) until the 17th century. -
The European Career of a Scottish Mathematician and Physician
chapter 3 The European Career of a Scottish Mathematician and Physician Pietro Daniel Omodeo The Scottish mathematician and physician Duncan Liddel (1561–1613) was a northern-European errant scholar of the Renaissance. His name occasionally appears in research on early-modern astronomy against the background of events involving protagonists of higher calibre such as Nicolaus Copernicus and Tycho Brahe. Liddel earned this marginal notoriety unwittingly thanks to two indirect merits. Firstly, by a historical contingency: one of the very rare surviving copies of Copernicus’s manuscript known as Commentariolus (three manuscripts in all)1 was transcribed by the Scot while he was in the lands of the German Empire and was inserted in a copy of De revolutionibus he brought home with him. The volume is still housed in the University of Aberdeen and came from Marischal College, to which Liddel bequeathed it along with his entire library.2 The peripheral location of this northern university, formed in 1860 by the merger of Marischal College and King’s College, and the persever- ance of its academic tradition from the Renaissance to the present day allowed the survival of Liddel’s books, far from the convulsive historical events of a continental Europe preparing for the devastating Thirty Years War. Secondly, Liddel is sometimes mentioned in connection with the guerre des astronomes concerning the priority of the geo-heliocentric system. He was involved in this quarrel against his will. In fact, when Brahe learned that Liddel had been teaching his planetary hypotheses to students in Rostock and Helmstedt he became suspicious enough to charge him with plagiarism. -
ASTRONOMERS INDEX Aryabhata (B.476),17,78, 197-201 . Abd Al
ASTRONOMERS INDEX Aryabhata (b.476),17,78, Bhadrabahu (contemporary 86,89 ,94,97,101-102,104,106, of Varahamihira),110. 197-201 . Bhattotpala (10th Century),11 0. Abd al-Munim-al-AmilI,215,2l6. Brahmagupta ^628),82,86. C Abi-1-Bijal's,175. Abd al-Jabbar al-KharaqI,204. Abu Abd Allah Muhammad ibn Caliph Mansur (754-775) of Abl Bakr Al-Farisl,203. Baghdad, 139• Abu Muhammad Ata b. Ahmad, 1 79. Callippus,67- Abu Nasr ibn Iraq (10th Copernicus,69,209,273• cent.),212. De Bois,235. Abu'1-Wafa' (940-998 ) ,209 ,210. De La Hi re, 23 6. Abu'l-Husayn al-Sufi (d.986),156. Edmond Halley (1686),111,256. Abu-Mac Shar,154. Eratosthenes,69 . al-Battani al-Sabi Euclid (fl.ca. 295 B.C.),65,21 0. (858-929), 175,209- Eudoxus (ca. 400-347 B.C),67. al-Blrunl (9 73-1048 ) ,133 ,1 44 . Fakhr al-Din Gurgani al-BitrujI (twelfth (around 1050), 155. century),178. Father Christoph,26l . al-Fahhad,204. Flamsteed,236. al-Hajjag,157. Galileo Galelei,26l. al-Kashi (fl.1420),144. Galileo,261 . Al-Khwarizmi (d.860),176. Ganesa Daivajna (b. 1507),193• al-Marzuqi (d 1030),154. Geminus,72. al-Qayini (10th century),21 6. Hipparchus,70,72,209• al-Qazwinld (d 1283),154. Hyp sides,70. al-ShirazI,204. Ibn Asim (d.1013),154. al-Shirwani,204. -al-Ajdabi ( d. prior Cal-CUrdi (1260),21 6,222. to 1203),154. al-Zarqalluh,1 75,1 79• -ash-Shatir,273• Aluel ben Yesha ,203• -Qutayba (d.884 or 889),154. -
Lives of Eminent Men of Aberdeen
NYPL RESEARCH LIBRARIES 3 3433 08253730 3 - - j : EMINENT MEN OF ABERDEEN. ABERDEEN: PRINTED AT THE UNIVERSITY PRESS, BY D. CHALMERS AND CO. LIVES OF EMINENT MEN OF ABERDEEN. BY JAMES BRUCE ABERDEEN : L. D. WYLLIE & SON S. MACLEAN ; W. COLLIE ; SMITH ; ; AND J. STRACHAN. W. RUSSEL ; W. LAURIE ; EDINBURGH: WILLIAM TAIT ; GLASGOW: DAVID ROBERTSON; LONDON : SMITH, ELDER, & CO. MDCCCXLI. THE NEW r TILDEN FOUr R 1, TO THOMAS BLAIKIE, ESQ., LORD PROVOST OF ABERDEEN, i's Folum? IS INSCRIBED, WITH THE HIGHEST RESPECT AND ESTEEM FOR HIS PUBLIC AND PRIVATE CHARACTER, AND FROM A SENSE OF THE INTEREST WHICH HE TAKES IN EVERY THING THAT CONCERNS THE HONOUR AND WELFARE OF HIS NATIVE CITY, BY HIS MUCH OBLIGED AND MOST OBEDIENT SERVANT, JAMES BRUCE. A 2 CONTENTS PAGE. ( JOHN BARBOU'R . 1 BISHOP ELPHINSTONE 22 BISHOP GAVIN DUXBAR . .57 DR. THOMAS MORISON . 76 GILBERT GRAY . 81 BISHOP PATRICK FORBES . 88 DR. DUNCAN LIDDEL . .115 GEORGE JAMIESON . 130 BISHOP WILLIAM FORBES . 152 DR. ARTHUR JOHNSTON . 171 EDWARD RABAN ... .193 DR. WILLIAM GUILD . 197 ALEXANDER ROSS . 225 GEORGE DALGARNO . 252 JOHN SPALDING . .202 HENRY SCOUGAL . 270 ROBERT GORDON . 289 PRINCIPAL BLACKWELL 303 ELIZABETH BLACKWELL . 307 DR. CAMPBELL . .319 DR. BEATTIE . 305 DR. HAMILTON . 3*1 DR. BROWN . 393 PREFACE IN offering this volume to the public, the writer trusts, that, with all its imperfections, it will be found not uninteresting to his townsmen, or, perhaps, to the general reader. At least it had frequently occurred to him, that an amusing and instructive book might be made on the subject which he has handled. -
A Previously Unnoticed Appendix in the Iṣlāḥ Al-Majisṭī by Jābir Ibn Aflaḥ
A previously unnoticed appendix in the Iṣlāḥ al-Majisṭī by Jābir ibn Aflaḥ M.ª José Parra Abstract: An examination of the preserved Arabic copies of the Islāḥ al-Majisṭī (12th century AD) has revealed an unnoticed before appendix preserved in MS Escorial ár. 930. The appendix contains in Arabic a portion of a larger passage which was known from (presumably) Gerard of Cremona’s Latin translation of the Iṣlāḥ al-Majisṭī but which had not been found in Arabic copies of the work. The passage pertains to Book VI of the Iṣlāḥ al-Majisṭī, on the fixed stars, and relates particularly to the Milky Way, the Solid Globe and the configurations of the fixed stars. In this article the chapters preserved in the appendix will be located in the context of Book VI of the Iṣlāḥ. It is further examined how far the newly found appendix helps to determine whether the passage known from the Latin formed an original part of Jābir ibn Aflaḥ’s work or was supplemented later, in particular based on the Arabic translations of the Almagest that were available in twelfth- century al-Andalus.1 Keywords: Jābir ibn Aflaḥ, Iṣlāḥ al-Majisṭī (Corrections of the Almagest), Fixed Stars, Gerard of Cremona, Arabic and Latin translations. 1. I refer here to the Arabic translation made by al-Ḥajjāj ibn Yūsuf ibn Maṭar (completed ca. 827/828 AD in Baghdad) and the other, by Isḥāq b. Ḥunayn emended by Thābit b. Qurra (ca. 892 AD). A third Arabic version, by Thābit b. Qurra alone, which was recently identified by Dirk Grupe, seems to have had only little influence in the West; see: D. -
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. -
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.