The Legend of Galileo, Icon of Modernity
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Galileo's Search for the Laws of Fall
Phys. Perspect. 21 (2019) 194–221 Ó 2019 Springer Nature Switzerland AG 1422-6944/19/030194-28 https://doi.org/10.1007/s00016-019-00243-y Physics in Perspective What the Middle-Aged Galileo Told the Elderly Galileo: Galileo’s Search for the Laws of Fall Penha Maria Cardozo Dias, Mariana Faria Brito Francisquini, Carlos Eduardo Aguiar and Marta Feijo´ Barroso* Recent historiographic results in Galilean studies disclose the use of proportions, graphical representation of the kinematic variables (distance, time, speed), and the medieval double distance rule in Galileo’s reasoning; these have been characterized as Galileo’s ‘‘tools for thinking.’’ We assess the import of these ‘‘tools’’ in Galileo’s reasoning leading to the laws of fall (v2 / D and v / t). To this effect, a reconstruction of folio 152r shows that Galileo built proportions involving distance, time, and speed in uniform motions, and applied to them the double distance rule to obtain uniformly accelerated motions; the folio indicates that he tried to fit proportions in a graph. Analogously, an argument in Two New Sciences to the effect that an earlier proof of the law of fall started from an incorrect hypothesis (v µ D) can be recast in the language of proportions, using only the proof that v µ t and the hypothesis. Key words: Galileo Galilei; uniformly accelerated fall; double distance rule; theorem of the mean speed; kinematic proportions in uniform motions. Introduction Galileo Galilei stated the proof of the laws of fall in their finished form in the Two New Sciences,1 published in 1638, only a few years before his death in 1642, and shortly before turning 78. -
2-Minute Stories Galileo's World
OU Libraries National Weather Center Tower of Pisa light sculpture (Engineering) Galileo and Experiment 2-minute stories • Bringing worlds together: How does the story of • How did new instruments extend sensory from Galileo exhibit the story of OU? perception, facilitate new experiments, and Galileo and Universities (Great Reading Room) promote quantitative methods? • How do universities foster communities of Galileo and Kepler Galileo’s World: learning, preserve knowledge, and fuel • Who was Kepler, and why was a telescope Bringing Worlds Together innovation? named after him? Galileo in Popular Culture (Main floor) Copernicus and Meteorology Galileo’s World, an “Exhibition without Walls” at • What does Galileo mean today? • How has meteorology facilitated discovery in the University of Oklahoma in 2015-2017, will History of Science Collections other disciplines? bring worlds together. Galileo’s World will launch Music of the Spheres Galileo and Space Science in 21 galleries at 7 locations across OU’s three • What was it like to be a mathematician in an era • What was it like, following Kepler and Galileo, to campuses. The 2-minute stories contained in this when music and astronomy were sister explore the heavens? brochure are among the hundreds that will be sciences? Oklahomans and Aerospace explored in Galileo’s World, disclosing Galileo’s Compass • How has the science of Galileo shaped the story connections between Galileo’s world and the • What was it like to be an engineer in an era of of Oklahoma? world of OU during OU’s 125th anniversary. -
Galileo's Two New Sciences: Local Motion
b. Indeed, notice Galileo’s whole approach here: put forward a hypothesis, develop a mathe- matical theory yielding striking predictions that are amenable to quasi-qualitative tests! c. But the experiments were almost certainly too difficult to set up in a way that would yield meaningful results at the time G. Mersenne's Efforts and the Lacuna: 1633-1647 1. Mersenne, perhaps provoked by a remark in Galileo's Dialogue, sees a different way of bridging any lacuna in the evidence for claims about free-fall: measure the distance of fall in the first second -- in effect g/2 -- the constant of proportionality in s î t2 a. Galileo's remark: objects fall 4 cubits in first sec, which Mersenne knew to be way too small b. Galileo himself calls attention to a lacuna in the argument for the Postulate in the original edition of Two New Sciences [207] c. If stable value regardless of height, and if it yields reasonable results for total elapsed times, then direct evidence for claim that free fall uniformly accelerated 2. Fr. Marin Mersenne (1588-1648) a professor of natural philosophy at the University of Paris, a close friend of Gassendi and Descartes, and a long time correspondent and admirer of Galileo's a. Deeply committed to experimentation, and hence naturally tried to reproduce Galileo's exper- iments, as well as to conduct many further ones on his own, in the process discovering such things as the non-isochronism of circular pendula b. Relevant publications: Les Méchanique de Galilée (1634), Harmonie Universelle (1636), Les nouevelles pensées de Galilée (1639), Cogitata Physico-Mathematica, Phenomena Ballistica (1644), and Reflexiones Physico-Mathematica (1647) c. -
Galilei-1632 Dialogue Concerning the Two Chief World Systems
Galileo di Vincenzo Bonaulti de Galilei ([ɡaliˈlɛːo ɡaliˈlɛi]; 15 February 1564 – 8 January 1642) was an Italian astronomer, physicist and engineer, sometimes described as a polymath, from Pisa. Galileo has been called the "father of observational astronomy", the "father of modern physics", the "father of the scientific method", and the "father of modern science". Galileo studied speed and velocity, gravity and free fall, the principle of relativity, inertia, projectile motion and also worked in applied science and technology, describing the properties of pendulums and "hydrostatic balances", inventing the thermoscope and various military compasses, and using the telescope for scientific observations of celestial objects. His contributions to observational astronomy include the telescopic confirmation of the phases of Venus, the observation of the four largest satellites of Jupiter, the observation of Saturn's rings, and the analysis of sunspots. Galileo's championing of heliocentrism and Copernicanism was controversial during his lifetime, when most subscribed to geocentric models such as the Tychonic system. He met with opposition from astronomers, who doubted heliocentrism because of the absence of an observed stellar parallax. The matter was investigated by the Roman Inquisition in 1615, which concluded that heliocentrism was "foolish and absurd in philosophy, and formally heretical since it explicitly contradicts in many places the sense of Holy Scripture". Galileo later defended his views in Dialogue Concerning the Two Chief World Systems (1632), which appeared to attack Pope Urban VIII and thus alienated him and the Jesuits, who had both supported Galileo up until this point. He was tried by the Inquisition, found "vehemently suspect of heresy", and forced to recant. -
Redalyc.The International Pendulum Project
Revista Electrónica de Investigación en Educación en Ciencias E-ISSN: 1850-6666 [email protected] Universidad Nacional del Centro de la Provincia de Buenos Aires Argentina Matthews, Michael R. The International Pendulum Project Revista Electrónica de Investigación en Educación en Ciencias, vol. 1, núm. 1, octubre, 2006, pp. 1-5 Universidad Nacional del Centro de la Provincia de Buenos Aires Buenos Aires, Argentina Available in: http://www.redalyc.org/articulo.oa?id=273320433002 How to cite Complete issue Scientific Information System More information about this article Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Journal's homepage in redalyc.org Non-profit academic project, developed under the open access initiative Año 1 – Número 1 – Octubre de 2006 ISSN: en trámite The International Pendulum Project Michael R. Matthews [email protected] School of Education, University of New South Wales, Sydney 2052, Australia The Pendulum in Modern Science Galileo in his final great work, The Two New Sciences , written during the period of house arrest after the trial that, for many, marked the beginning of the Modern Age, wrote: We come now to the other questions, relating to pendulums, a subject which may appear to many exceedingly arid, especially to those philosophers who are continually occupied with the more profound questions of nature. Nevertheless, the problem is one which I do not scorn. I am encouraged by the example of Aristotle whom I admire especially because he did not fail to discuss every subject which he thought in any degree worthy of consideration. (Galileo 1638/1954, pp.94-95) This was the pendulum’s low-key introduction to the stage of modern science and modern society. -
Operations of the Geometric and Military Compass
OPERATIONS OF THE GEOMETRIC AND MILITARY COMPASS OF GALILEO GALILEI FLORENTINE PATRICIAN AND TEACHER OF MATHEMATICS in the University of Padua Dedicated to THE MOST SERENE PRINCE DON COSIMO DE’ MEDICI. PRINTED AT PADUA in the Author’s House, By Pietro Marinelli. 1606 With license of the Superiors Translated by Stillman Drake, Florence 1977 CONTENTS Dedication............................................................................................................................ 5 Prologue .............................................................................................................................. 6 Operation I Division of a line .................................................................................................................. 7 Operation II How in any given line we can take as many parts as may be required .............................. 8 Operation III How these same lines give us two, and even infinitely many, scales for altering one map into another larger or smaller ............................................................................... 8 Operation IV The rule-of-three solved by means of a compass and these same Arithmetic Lines .................................................................................................................................... 9 Operation V The inverse rule-of-three resolved by means of the same lines ......................................... 10 Operation VI Rule for monetary exchange .............................................................................................. -
A Phenomenology of Galileo's Experiments with Pendulums
BJHS, Page 1 of 35. f British Society for the History of Science 2009 doi:10.1017/S0007087409990033 A phenomenology of Galileo’s experiments with pendulums PAOLO PALMIERI* Abstract. The paper reports new findings about Galileo’s experiments with pendulums and discusses their significance in the context of Galileo’s writings. The methodology is based on a phenomenological approach to Galileo’s experiments, supported by computer modelling and close analysis of extant textual evidence. This methodology has allowed the author to shed light on some puzzles that Galileo’s experiments have created for scholars. The pendulum was crucial throughout Galileo’s career. Its properties, with which he was fascinated from very early in his career, especially concern time. A 1602 letter is the earliest surviving document in which Galileo discusses the hypothesis of pendulum isochronism.1 In this letter Galileo claims that all pendulums are isochronous, and that he has long been trying to demonstrate isochronism mechanically, but that so far he has been unable to succeed. From 1602 onwards Galileo referred to pendulum isochronism as an admirable property but failed to demonstrate it. The pendulum is the most open-ended of Galileo’s artefacts. After working on my reconstructed pendulums for some time, I became convinced that the pendulum had the potential to allow Galileo to break new ground. But I also realized that its elusive nature sometimes threatened to undermine the progress Galileo was making on other fronts. It is this ambivalent nature that, I thought, might prove invaluable in trying to understand crucial aspects of Galileo’s innovative methodology. -
Sources: Galileo's Correspondence
Sources: Galileo’s Correspondence Notes on the Translations The following collection of letters is the result of a selection made by the author from the correspondence of Galileo published by Antonio Favaro in his Le opere di Galileo Galilei,theEdizione Nazionale (EN), the second edition of which was published in 1968. These letters have been selected for their relevance to the inves- tigation of Galileo’s practical activities.1 The information they contain, moreover, often refers to subjects that are completely absent in Galileo’s publications. All of the letters selected are quoted in the work. The passages of the letters, which are quoted in the work, are set in italics here. Given the particular relevance of these letters, they have been translated into English for the first time by the author. This will provide the international reader with the opportunity to achieve a deeper comprehension of the work on the basis of the sources. The translation in itself, however, does not aim to produce a text that is easily read by a modern reader. The aim is to present an understandable English text that remains as close as possible to the original. The hope is that the evident disadvantage of having, for example, long and involute sentences using obsolete words is compensated by the fact that this sort of translation reduces to a minimum the integration of the interpretation of the translator into the English text. 1Another series of letters selected from Galileo’s correspondence and relevant to Galileo’s practical activities and, in particular, as a bell caster is published appended to Valleriani (2008). -
Here from the Main Rings to Enceladus M.K
Block Schedule Wednesday 7/27 Thursday 7/28 Friday 7/29 8:30 Introduction 8:40 Ring Objects 9:00 Dense Ring Ring 9:20 Structure Composition 9:40 10:00 10:20 10:40 Dense Ring Ring F ring 11:00 Structure Particle 11:20 (continued) Properties 11:40 12:00 12:20 12:40 Lunch Lunch 13:00 Lunch 13:20 13:40 14:00 Ring Particle Ring Origins 14:20 Sizes 14:40 Dusty Rings 15:00 OPUS 15:20 15:40 Intro to Posters Ring 16:00 Dusty Rings Evolution 16:20 and 16:40 Ring Environments Poster 17:00 Session 17:20 Discussion Discussion 17:40 18:00 18:30 19:00 Dinner on Campus BBQ at Treman Park Open 19:30 2 Wedsneday Morning, July 27 8:30-8:40 Welcome, Introduction 8:40-9:00 Revisiting the Self-Gravity Wakes Granola Bar Model: More Data, More Parameters J. E. Colwell, R. G. Jerousek, J. H. Cooney 9:00-9:20 Self-Gravity Wakes and the Viscosity of Dense Planetary Rings G. R. Stewart 9:20-9:40 B Ring Gray Ghosts in Cassini UVIS Occultations M. Sremˇcevi´c L.W. Esposito, J.E. Colwell, N. Albers 9:40-10:00 Simulating the B ring M. Lewis 10:00-10:20 Break 10:20-10:40 Noncircular Features in Saturn's Rings: I. The Cassini Division R. G. French, P. D. Nicholson, J. Colwell, E. A. Marouf, N. J. Rappaport, M. Hedman, K. Lonergan, C. McGhee-French, and T. Sepersky 10:40-11:00 Noncircular Features in Saturn's Rings: II. -
POLITECNICO DI TORINO Repository ISTITUZIONALE
POLITECNICO DI TORINO Repository ISTITUZIONALE Body temperature measurement from the 17th century to the present days Original Body temperature measurement from the 17th century to the present days / Angelini, Emma; Grassini, Sabrina; Parvis, Marco; Parvis, Luca; Gori, Andrea. - ELETTRONICO. - (2020), pp. 1-6. ((Intervento presentato al convegno 15th IEEE International Symposium on Medical Measurements and Applications - MeMeA2020 tenutosi a Bari, Italy nel 1-3 June 2020 [10.1109/MeMeA49120.2020.9137339]. Availability: This version is available at: 11583/2841349 since: 2020-08-25T14:41:07Z Publisher: IEEE Published DOI:10.1109/MeMeA49120.2020.9137339 Terms of use: openAccess This article is made available under terms and conditions as specified in the corresponding bibliographic description in the repository Publisher copyright IEEE postprint/Author's Accepted Manuscript ©2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collecting works, for resale or lists, or reuse of any copyrighted component of this work in other works. (Article begins on next page) 07 October 2021 Body temperature measurement from the 17th century to the present days Emma Angelini Sabrina Grassini Department of Applied Science and Technology Department of Applied Science and Technology Politecnico di Torino Politecnico di Torino Torino, Italy Torino, Italy [email protected] -
15. Galileo and Aristotle on Motion. II
I. Aristotle's Theory. 15. Galileo and Aristotle on Motion. II. Galileo's Theory. I. Aristotle's Theory of Motion • Two basic principles: I. No motion without a mover in contact with moving body. II. Distinction between: (a) Natural motion: mover is internal to moving body (b) Forced motion: mover is external to moving body • Forced motion: - Non-natural (results in removal of object from its natural place). - Influenced by two factors: motive force F, and resistance of medium R. • Aristotle's "Law of Motion": V ∝ F/R, V = speed. Qualifications: - Assumes F > R. When F ≤ R, Aristotle says no motion occurs. - V represents speed, not velocity. Question: Which hits ground first: 1 lb ball or 10 lb ball? • Claim: Aristotle's "law" predicts 1 lb ball will take 10 times longer to fall than 10 lb ball. ! Let T = time required to travel a given distance. ! Assume: V ∝ 1/T (the greater the speed, the less the time of fall). ! Let V1 = speed of 1 lb ball, T1 = time for 1 lb ball to hit ground V2 = speed of 10 lb ball, T2 = time for 10 lb ball to hit ground. ! Then: V1/V2 = T2/T1. ! Or: F1/F2 = T2/T1 (V ∝ F). ! So: 1/10 = T2/T1 or T1 = 10T2. Projectile Motion • Big Problem: What maintains the motion of a projectile after it's left the thrower's hand? Antiparistasis ("mutual replacement"): • Medium is the required contact force. air flow • Medium flows around object to fill in space left behind. • Result: Object is pushed foward. Aristotle's Explanation: • Initial motive force transfers to the medium initially surrounding the power transfer object a "power" to act as a motive force. -
Excerpts from Galileo Galilei Dialogues Concerning Two New Sciences [1638]
Excerpts from Galileo Galilei Dialogues Concerning Two New Sciences [1638] THIRD DAY: CHANGE OF POSITION. [De Motu Locali] INTRODUCTION MY purpose is to set forth a very new science dealing with a very ancient subject. There is, in nature, perhaps nothing older than motion, concerning which the books written by philosophers are neither few nor small; nevertheless I have discovered by experiment some properties of it which are worth knowing and which have not hitherto been either observed or demonstrated. Some superficial observations have been made, as, for instance, that the free motion [naturalem motum] of a heavy falling body is continuously accelerated [Natural motion of the author has here been translated into free motionsince this is the term used to-day to distinguish the natural from the violent motions of the Renaissance]; but to just what extent this acceleration occurs has not yet been announced; for so far as I know, no one has yet pointed out that the distances traversed, during equal intervals of time, by a body falling from rest, stand to one another in the same ratio as the odd numbers beginning with unity [A theorem demonstarted in the text]. It has been observed that missiles and projectiles describe a curved path of some sort; however no one has pointed out the fact that this path is a parabola. But this and other facts, not few in number or less worth knowing, I have succeeded in proving; and what I consider more important, there have been opened up to this vast and most excellent science, of which my work is merely the beginning, ways and means by which other minds more acute than mine will explore its remote corners.