Notes on the Transmission of Ptolemy's Almagest And
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1 Timeline 2 Geocentric Model
Ancient Astronomy Many ancient cultures were interested in the night sky • Calenders • Prediction of seasons • Navigation 1 Timeline Astronomy timeline • ∼ 3000 B.C. Stonehenge • 2136 B.C. First record of solar eclipse by Chinese astronomers • 613 B.C. First record of Halley’s comet by Zuo Zhuan (China) • ∼ 270 B.C. Aristarchus proposes Earth goes around Sun (not a popular idea at the time) • ∼ 240 B.C. Eratosthenes estimates Earth’s circumference • ∼ 130 B.C. Hipparchus develops first accurate star map (one of the first to use R.A. and Dec) 2 Geocentric model The Geocentric Model • Greek philosopher Aristotle (384-322 B.C.) • Uniform circular motion • Earth at center of Universe Retrograde Motion • General motion of planets east- ward • Short periods of westward motion of planets • Then continuation eastward How did the early Greek philosophers make retrograde motion consistent with uniform circular motion? 3 Ptolemy Ptolemy’s Geocentric Model • Planet moves around a small circle called an epicycle • Center of epicycle moves along a larger cir- cle called a deferent • Center of deferent is at center of Earth (sort of) Ptolemy’s Geocentric Model • Ptolemy invented the device called the eccentric • The eccentric is the center of the deferent • Sometimes the eccentric was slightly off center from the center of the Earth Ptolemy’s Geocentric Model • Uniform circular motion could not account for speed of the planets thus Ptolemy used a device called the equant • The equant was placed the same distance from the eccentric as the Earth, but on the -
A Philosophical and Historical Analysis of Cosmology from Copernicus to Newton
University of Central Florida STARS Electronic Theses and Dissertations, 2004-2019 2017 Scientific transformations: a philosophical and historical analysis of cosmology from Copernicus to Newton Manuel-Albert Castillo University of Central Florida Part of the History of Science, Technology, and Medicine Commons Find similar works at: https://stars.library.ucf.edu/etd University of Central Florida Libraries http://library.ucf.edu This Masters Thesis (Open Access) is brought to you for free and open access by STARS. It has been accepted for inclusion in Electronic Theses and Dissertations, 2004-2019 by an authorized administrator of STARS. For more information, please contact [email protected]. STARS Citation Castillo, Manuel-Albert, "Scientific transformations: a philosophical and historical analysis of cosmology from Copernicus to Newton" (2017). Electronic Theses and Dissertations, 2004-2019. 5694. https://stars.library.ucf.edu/etd/5694 SCIENTIFIC TRANSFORMATIONS: A PHILOSOPHICAL AND HISTORICAL ANALYSIS OF COSMOLOGY FROM COPERNICUS TO NEWTON by MANUEL-ALBERT F. CASTILLO A.A., Valencia College, 2013 B.A., University of Central Florida, 2015 A thesis submitted in partial fulfillment of the requirements for the degree of Master of Arts in the department of Interdisciplinary Studies in the College of Graduate Studies at the University of Central Florida Orlando, Florida Fall Term 2017 Major Professor: Donald E. Jones ©2017 Manuel-Albert F. Castillo ii ABSTRACT The purpose of this thesis is to show a transformation around the scientific revolution from the sixteenth to seventeenth centuries against a Whig approach in which it still lingers in the history of science. I find the transformations of modern science through the cosmological models of Nicholas Copernicus, Johannes Kepler, Galileo Galilei and Isaac Newton. -
1 Science LR 2711
A Scientific Response to the Chester Beatty Library Collection Contents The Roots Of Modern Science A Scientific Response To The Chester Beatty Library Collection 1 Science And Technology 2 1 China 3 Science In Antiquity 4 Golden Age Of Islamic Science 5 Transmission Of Knowledge To Europe 6 A Scientific Response To The Chester Beatty Library Collections For Dublin City Of Science 2012 7 East Asian Collections The Great Encyclopaedia of the Yongle Reign (Yongle Dadian) 8 2 Phenomena of the Sky (Tianyuan yuli xiangyi tushuo) 9 Treatise on Astronomy and Chronology (Tianyuan lili daquan) 10 Illustrated Scrolls of Gold Mining on Sado Island (Sado kinzan zukan) 11 Islamic Collections Islamic Medicine 12 3 Medical Compendium, by al-Razi (Al-tibb al-mansuri) 13 Encyclopaedia of Medicine, by Ibn Sina (Al-qanun fi’l-tibb) 14 Treatise on Surgery, by al-Zahrawi (Al-tasrif li-man ‘ajiza ‘an al-ta’lif) 15 Treatise on Human Anatomy, by Mansur ibn Ilyas (Tashrih al-badan) 16 Barber –Surgeon toolkit from 1860 17 Islamic Astronomy and Mathematics 18 The Everlasting Cycles of Lights, by Muhyi al-Din al-Maghribi (Adwar al-anwar mada al-duhur wa-l-akwar) 19 Commentary on the Tadhkira of Nasir al-Din al-Tusi 20 Astrolabes 21 Islamic Technology 22 Abbasid Caliph, Ma’mum at the Hammam 23 European Collections European Science of the Middle Ages 24 4 European Technology: On Military Matters (De Re Militari) 25 European Technology: Concerning Military Matters (De Re Militari) 26 Mining Technology: On the Nature of Metals (De Re Metallica) 27 Fireworks: The triumphal -
The Roots of Astronomy
The Roots of Astronomy • Already in the stone and bronze ages, human cultures realized the cyclic nature of motions in the sky. • Monuments dating back to ~ 3000 B.C. show alignments with astronomical significance. • Those monuments were probably used as calendars or even to predict eclipses. Stonehenge • Constructed: 3000 – 1800 B.C. Summer solstice Heelstone • Alignments with locations of sunset, sunrise, moonset and moonrise at summer and winter solstices • Probably used as calendar. Other Examples All Over the World Big Horn Medicine Wheel (Wyoming) Other Examples All Over the World (2) Caracol (Maya culture, approx. A.D. 1000) Ancient Greek Astronomers (1) • Unfortunately, there are no written documents about the significance of stone and bronze age monuments. • First preserved written documents about ancient astronomy are from ancient Greek philosophy. • Greeks tried to understand the motions of the sky and describe them in terms of mathematical (not physical!) models. Ancient Greek Astronomers (2) Models were generally wrong because they were based on wrong “first principles”, believed to be “obvious” and not questioned: 1. Geocentric Universe: Earth at the Center of the Universe. 2. “Perfect Heavens”: Motions of all celestial bodies described by motions involving objects of “perfect” shape, i.e., spheres or circles. Ancient Greek Astronomers (3) • Eudoxus (409 – 356 B.C.): Model of 27 nested spheres • Aristotle (384 – 322 B.C.), major authority of philosophy until the late middle ages: Universe can be divided in 2 parts: 1. Imperfect, -
Simon Stevin
II THE PRINCIPAL WORKS OF SIMON STEVIN E D IT E D BY ERNST CRONE, E. J. DIJKSTERHUIS, R. J. FORBES M. G. J. MINNAERT, A. PANNEKOEK A M ST E R D A M C. V. SW ETS & Z E IT L IN G E R J m THE PRINCIPAL WORKS OF SIMON STEVIN VOLUME II MATHEMATICS E D IT E D BY D. J. STRUIK PROFESSOR AT THE MASSACHUSETTS INSTITUTE OF TECHNOLOGY, CAMBRIDGE (MASS.) A M S T E R D A M C. V. SW ETS & Z E IT L IN G E R 1958 The edition of this volume II of the principal works of SIMON STEVIN devoted to his mathematical publications, has been rendered possible through the financial aid of the Koninklijke. Nederlandse Akademie van Wetenschappen (Royal Netherlands Academy of Science) Printed by Jan de Lange, Deventer, Holland The following edition of the Principal Works of SIMON STEVIN has been brought about at the initiative of the Physics Section of the Koninklijke Nederlandse Akademie van Weten schappen (Royal Netherlands Academy of Sciences) by a committee consisting of the following members: ERNST CRONE, Chairman of the Netherlands Maritime Museum, Amsterdam E. J. DIJKSTERHUIS, Professor of the History of Science at the Universities of Leiden and Utrecht R. J. FORBES, Professor of the History of Science at the Municipal University of Amsterdam M. G. J. M INNAERT, Professor of Astronomy at the University of Utrecht A. PANNEKOEK, Former Professor of Astronomy at the Municipal University of Amsterdam The Dutch texts of STEVIN as well as the introductions and notes have been translated into English or revised by Miss C. -
The Persian-Toledan Astronomical Connection and the European Renaissance
Academia Europaea 19th Annual Conference in cooperation with: Sociedad Estatal de Conmemoraciones Culturales, Ministerio de Cultura (Spain) “The Dialogue of Three Cultures and our European Heritage” (Toledo Crucible of the Culture and the Dawn of the Renaissance) 2 - 5 September 2007, Toledo, Spain Chair, Organizing Committee: Prof. Manuel G. Velarde The Persian-Toledan Astronomical Connection and the European Renaissance M. Heydari-Malayeri Paris Observatory Summary This paper aims at presenting a brief overview of astronomical exchanges between the Eastern and Western parts of the Islamic world from the 8th to 14th century. These cultural interactions were in fact vaster involving Persian, Indian, Greek, and Chinese traditions. I will particularly focus on some interesting relations between the Persian astronomical heritage and the Andalusian (Spanish) achievements in that period. After a brief introduction dealing mainly with a couple of terminological remarks, I will present a glimpse of the historical context in which Muslim science developed. In Section 3, the origins of Muslim astronomy will be briefly examined. Section 4 will be concerned with Khwârizmi, the Persian astronomer/mathematician who wrote the first major astronomical work in the Muslim world. His influence on later Andalusian astronomy will be looked into in Section 5. Andalusian astronomy flourished in the 11th century, as will be studied in Section 6. Among its major achievements were the Toledan Tables and the Alfonsine Tables, which will be presented in Section 7. The Tables had a major position in European astronomy until the advent of Copernicus in the 16th century. Since Ptolemy’s models were not satisfactory, Muslim astronomers tried to improve them, as we will see in Section 8. -
Astro110-01 Lecture 7 the Copernican Revolution
Astro110-01 Lecture 7 The Copernican Revolution or the revolutionaries: Nicolas Copernicus (1473-1543) Tycho Brahe (1546-1601) Johannes Kepler (1571-1630) Galileo Galilei (1564-1642) Isaac Newton (1642-1727) who toppled Aristotle’s cosmos 2/2/09 Astro 110-01 Lecture 7 1 Recall: The Greek Geocentric Model of the heavenly spheres (around 400 BC) • Earth is a sphere that rests in the center • The Moon, Sun, and the planets each have their own spheres • The outermost sphere holds the stars • Most famous players: Aristotle and Plato 2/2/09 Aristotle Plato Astro 110-01 Lecture 7 2 But this made it difficult to explain the apparent retrograde motion of planets… Over a period of 10 weeks, Mars appears to stop, back up, then go forward again. Mars Retrograde Motion 2/2/09 Astro 110-01 Lecture 7 3 A way around the problem • Plato had decreed that in the heavens only circular motion was possible. • So, astronomers concocted the scheme of having the planets move in circles, called epicycles, that were themselves centered on other circles, called deferents • If an observation of a planet did not quite fit the existing system of deferents and epicycles, another epicycle could be added to improve the accuracy • This ancient system of astronomy was codified by the Alexandrian Greek astronomer Ptolemy (A.D. 100–170), in a book translated into Arabic and called Almagest. • Almagest remained the principal textbook of astronomy for 1400 years until Copernicus 2/2/09 Astro 110-01 Lecture 7 4 So how does the Ptolemaic model explain retrograde motion? Planets really do go backward in this model. -
How Do Planets Move?
How Do Planets Move? 1 We know that the Sun is at the centre of the solar system Eight planets orbit it 2 However, this has not always been believed! 3 These people all believed different things about the solar system. Firstly, when do you think Place them on the timeline these civilizations/people lived? alKatabi Aristotle Ancient Egyptians Plotemy alHazen Tusi Ancient Indians Early Humans Us in 2020 4 For thousands of years, people believed that the Earth was the centre of the solar system. By observing the Sun, during the day, it seemed obvious that it was moving around planet Earth. Early Humans Plotemy Ancient Indians Ancient Egyptians Aristotle 5 Ptolemy’s model became the accepted view for hundreds of years. However, during the time of the Islamic Golden Age, some scientists started to criticise his model. Alhazen was the first to outright disagree with the Ptolemaic Model. Plotemy alHazen 6 Other Islamic scientists explored the idea of heliocentrism. However, Tusi was the first real scientist to propose the Heliocentric Model (what we believe today!)... alHazen Tusi ? To be continued (next lesson)... 7 Activity WALT understand the geocentric model of the solar system Can you draw a diagram to show the geocentric model? Can you summarise the key people who were involved in creating this model of the solar system? 8 Firstly, let's ensure that we remember/can say the name... WALT understand the geocentric model of the solar system What does this What does the root word prefix mean? mean? Geo- is a prefix derived in or at the from a Greek word centre; meaning "earth" central. -
Beginnings of Trigonometry
Beginnings of Trigonometry Trigonometry is an area of mathematics used for determining geometric quantities. Its name, first published in 1595 by B. Pitiscus, means "the study of trigons (triangles)" in Latin. Ancient Greek Mathematicians first used trigonometric functions with the chords of a circle. The first to publish these chords in 140 BC was Hipparchus, who is now called the founder of trigonometry. In AD 100, Menelaus, another Greek mathematician, published six lost books of tables of chords. Ptolemy, a Babylonian, also wrote a book of chords. Using chords, Ptolemy knew that sin(xy+= ) sin x cos y + cos x sin y and abc = = sinABC sin sin In his great astronomical handbook, The Almagest, Ptolemy provided a table of chords for steps of °, from 0° to 180°, that is accurate to 1/3600 of a unit. Ptolemy's degree of accuracy is due in part because the Hellenistic Greeks had adopted the Babylonian base- 60 (sexagesimal) numeration system. He also explained his method for constructing his table of chords, and in the course of the book he gave many examples of how to use the table to find unknown parts of triangles from known parts. Ptolemy provided what is now known as Menelaus's theorem for solving spherical triangles, as well, and for several centuries his trigonometry was the primary introduction to the subject for any astronomer. Sine first appeared in the work of Aryabhata, a Hindu. He used the word jya for sine. He also published the first sine tables. Brahmagupta, in 628, also published a table of sines for any angle. -
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 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.