DISCOVERING HUYGENS C.D. Andriesse Institute for the History
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Floating and Platform Balances an Introduction
Floating and Platform Balances An introduction ©Darrah Artzner 3/2018 Floating and Platform Balances • Introduce main types • Discuss each in some detail including part identification and function • Testing and Inspecting • Cleaning tips • Lubrication • Performing repairs Balance Assembly Type Floating Platform Floating Balance Frame Spring stud Helicoid spring Hollow Tube Mounting Post Regulator Balance wheel Floating Balance cont. Jewel Roller Pin Paired weight Hollow Tube Safety Roller Pivot Wire Floating Balance cont. Example Retaining Hermle screws Safety Roller Note: moving fork Jewel cover Floating Balance cont. Inspecting and Testing (Balance assembly is removed from movement) • Inspect pivot (suspension) wire for distortion, corrosion, breakage. • Balance should appear to float between frame. Top and bottom distance. • Balance spring should be proportional and not distorted in any way. • Inspect jewels for cracks and or breakage. • Roller pin should be centered when viewed from front. (beat) • Rotate balance wheel three quarters of a turn (270°) and release. It should rotate smoothly with no distortion and should oscillate for several (3) minutes. Otherwise it needs attention. Floating Balance cont. Cleaning • Make sure the main spring has been let down before working on movement. • Use non-aqueous watch cleaner and/or rinse. • Agitate in cleaner/rinse by hand or briefly in ultrasonic. • Rinse twice and final in naphtha, Coleman fuel (or similar) or alcohol. • Allow to dry. (heat can be used with caution – ask me how I would do it.) Lubrication • There are two opinions. To lube or not to lube. • Place a vary small amount of watch oil on to the upper and lower jewel where the pivot wire passed through the jewel holes. -
Pioneers in Optics: Christiaan Huygens
Downloaded from Microscopy Pioneers https://www.cambridge.org/core Pioneers in Optics: Christiaan Huygens Eric Clark From the website Molecular Expressions created by the late Michael Davidson and now maintained by Eric Clark, National Magnetic Field Laboratory, Florida State University, Tallahassee, FL 32306 . IP address: [email protected] 170.106.33.22 Christiaan Huygens reliability and accuracy. The first watch using this principle (1629–1695) was finished in 1675, whereupon it was promptly presented , on Christiaan Huygens was a to his sponsor, King Louis XIV. 29 Sep 2021 at 16:11:10 brilliant Dutch mathematician, In 1681, Huygens returned to Holland where he began physicist, and astronomer who lived to construct optical lenses with extremely large focal lengths, during the seventeenth century, a which were eventually presented to the Royal Society of period sometimes referred to as the London, where they remain today. Continuing along this line Scientific Revolution. Huygens, a of work, Huygens perfected his skills in lens grinding and highly gifted theoretical and experi- subsequently invented the achromatic eyepiece that bears his , subject to the Cambridge Core terms of use, available at mental scientist, is best known name and is still in widespread use today. for his work on the theories of Huygens left Holland in 1689, and ventured to London centrifugal force, the wave theory of where he became acquainted with Sir Isaac Newton and began light, and the pendulum clock. to study Newton’s theories on classical physics. Although it At an early age, Huygens began seems Huygens was duly impressed with Newton’s work, he work in advanced mathematics was still very skeptical about any theory that did not explain by attempting to disprove several theories established by gravitation by mechanical means. -
Newton.Indd | Sander Pinkse Boekproductie | 16-11-12 / 14:45 | Pag
omslag Newton.indd | Sander Pinkse Boekproductie | 16-11-12 / 14:45 | Pag. 1 e Dutch Republic proved ‘A new light on several to be extremely receptive to major gures involved in the groundbreaking ideas of Newton Isaac Newton (–). the reception of Newton’s Dutch scholars such as Willem work.’ and the Netherlands Jacob ’s Gravesande and Petrus Prof. Bert Theunissen, Newton the Netherlands and van Musschenbroek played a Utrecht University crucial role in the adaption and How Isaac Newton was Fashioned dissemination of Newton’s work, ‘is book provides an in the Dutch Republic not only in the Netherlands important contribution to but also in the rest of Europe. EDITED BY ERIC JORINK In the course of the eighteenth the study of the European AND AD MAAS century, Newton’s ideas (in Enlightenment with new dierent guises and interpre- insights in the circulation tations) became a veritable hype in Dutch society. In Newton of knowledge.’ and the Netherlands Newton’s Prof. Frans van Lunteren, sudden success is analyzed in Leiden University great depth and put into a new perspective. Ad Maas is curator at the Museum Boerhaave, Leiden, the Netherlands. Eric Jorink is researcher at the Huygens Institute for Netherlands History (Royal Dutch Academy of Arts and Sciences). / www.lup.nl LUP Newton and the Netherlands.indd | Sander Pinkse Boekproductie | 16-11-12 / 16:47 | Pag. 1 Newton and the Netherlands Newton and the Netherlands.indd | Sander Pinkse Boekproductie | 16-11-12 / 16:47 | Pag. 2 Newton and the Netherlands.indd | Sander Pinkse Boekproductie | 16-11-12 / 16:47 | Pag. -
On the Isochronism of Galilei's Horologium
IFToMM Workshop on History of MMS – Palermo 2013 On the isochronism of Galilei's horologium Francesco Sorge, Marco Cammalleri, Giuseppe Genchi DICGIM, Università di Palermo, [email protected], [email protected], [email protected] Abstract − Measuring the passage of time has always fascinated the humankind throughout the centuries. It is amazing how the general architecture of clocks has remained almost unchanged in practice to date from the Middle Ages. However, the foremost mechanical developments in clock-making date from the seventeenth century, when the discovery of the isochronism laws of pendular motion by Galilei and Huygens permitted a higher degree of accuracy in the time measure. Keywords: Time Measure, Pendulum, Isochronism Brief Survey on the Art of Clock-Making The first elements of temporal and spatial cognition among the primitive societies were associated with the course of natural events. In practice, the starry heaven played the role of the first huge clock of mankind. According to the philosopher Macrobius (4 th century), even the Latin term hora derives, through the Greek word ‘ώρα , from an Egyptian hieroglyph to be pronounced Heru or Horu , which was Latinized into Horus and was the name of the Egyptian deity of the sun and the sky, who was the son of Osiris and was often represented as a hawk, prince of the sky. Later on, the measure of time began to assume a rudimentary technical connotation and to benefit from the use of more or less ingenious devices. Various kinds of clocks developed to relatively high levels of accuracy through the Egyptian, Assyrian, Greek and Roman civilizations. -
Computer-Aided Design and Kinematic Simulation of Huygens's
applied sciences Article Computer-Aided Design and Kinematic Simulation of Huygens’s Pendulum Clock Gloria Del Río-Cidoncha 1, José Ignacio Rojas-Sola 2,* and Francisco Javier González-Cabanes 3 1 Department of Engineering Graphics, University of Seville, 41092 Seville, Spain; [email protected] 2 Department of Engineering Graphics, Design, and Projects, University of Jaen, 23071 Jaen, Spain 3 University of Seville, 41092 Seville, Spain; [email protected] * Correspondence: [email protected]; Tel.: +34-953-212452 Received: 25 November 2019; Accepted: 9 January 2020; Published: 10 January 2020 Abstract: This article presents both the three-dimensional modelling of the isochronous pendulum clock and the simulation of its movement, as designed by the Dutch physicist, mathematician, and astronomer Christiaan Huygens, and published in 1673. This invention was chosen for this research not only due to the major technological advance that it represented as the first reliable meter of time, but also for its historical interest, since this timepiece embodied the theory of pendular movement enunciated by Huygens, which remains in force today. This 3D modelling is based on the information provided in the only plan of assembly found as an illustration in the book Horologium Oscillatorium, whereby each of its pieces has been sized and modelled, its final assembly has been carried out, and its operation has been correctly verified by means of CATIA V5 software. Likewise, the kinematic simulation of the pendulum has been carried out, following the approximation of the string by a simple chain of seven links as a composite pendulum. The results have demonstrated the exactitude of the clock. -
ALBERT VAN HELDEN + HUYGENS’S RING CASSINI’S DIVISION O & O SATURN’S CHILDREN
_ ALBERT VAN HELDEN + HUYGENS’S RING CASSINI’S DIVISION o & o SATURN’S CHILDREN )0g-_ DIBNER LIBRARY LECTURE , HUYGENS’S RING, CASSINI’S DIVISION & SATURN’S CHILDREN c !@ _+++++++++ l ++++++++++ _) _) _) _) _)HUYGENS’S RING, _)CASSINI’S DIVISION _) _)& _)SATURN’S CHILDREN _) _) _)DDDDD _) _) _)Albert van Helden _) _) _) , _) _) _)_ _) _) _) _) _) · _) _) _) ; {(((((((((QW(((((((((} , 20013–7012 Text Copyright ©2006 Albert van Helden. All rights reserved. A H is Professor Emeritus at Rice University and the Univer- HUYGENS’S RING, CASSINI’S DIVISION sity of Utrecht, Netherlands, where he resides and teaches on a regular basis. He received his B.S and M.S. from Stevens Institute of Technology, M.A. from the AND SATURN’S CHILDREN University of Michigan and Ph.D. from Imperial College, University of London. Van Helden is a renowned author who has published respected books and arti- cles about the history of science, including the translation of Galileo’s “Sidereus Nuncius” into English. He has numerous periodical contributions to his credit and has served on the editorial boards of Air and Space, 1990-present; Journal for the History of Astronomy, 1988-present; Isis, 1989–1994; and Tractrix, 1989–1995. During his tenure at Rice University (1970–2001), van Helden was instrumental in establishing the “Galileo Project,”a Web-based source of information on the life and work of Galileo Galilei and the science of his time. A native of the Netherlands, Professor van Helden returned to his homeland in 2001 to join the faculty of Utrecht University. -
Precalculus Huygens Quiz Answers
Chapter Two Math History for Precalculus Christiaan Huygens 1. When did Huygens (HIE genz) live? 1629–1695 2. Where was he from? Holland (The Hague) 3. What was his marital status? lifelong bachelor 4. What was his most famous work and when was it published? Horologium Oscillatorium, 1673 This famous work discussed pendulum clocks. Pendulum motion is periodic and is described using trigonometric functions. The most important mathematical result in this work involves the study of a curve—the cycloid. He discovered a very important property of this curve. In later works he studied other important mathematical curves and their properties. Describe each curve below and explain what Huygens discovered about it. Curves Discovery 5. Cycloid Determined by a point on a It is the tautochrone (time needed for wheel as it rolls along the a ball to roll to lowest point is equal (level) ground regardless of starting point). 6. Catenary Determined by suspending a It is not a parabola. cable from two points 7. Cissoid Determined by secant It is rectifiable (found arc length segments of a circle formula). 8. Which of the three previous curves are functions? cycloid, catenary 9. Huygens wrote on the paraboloid, a surface formed by revolving a parabola about its axis. What did he discover? Its surface area 10. Huygens also wrote the first treatise on probability (following the correspondence of Pascal and Fermat). What concept did he contribute to this subject? expectation 11. Name some of his famous scientific theories. rings of Saturn (1654–1656, using his own improved telescope lenses); pendulum clocks (1658); wave theory of light (1678, 1690) 12. -
A Royal 'Haagseklok'
THE SPLIT (Going and Strike) BARREL (top) p.16 Overview Pendulum Applications. The Going-wheel The Strike-wheel Ratchet-work Stop-work German Origins Hidden Stop Work English Variants WIND-ME MECHANISM? p.19 An "Up-Down" Indicator (Hypothetical Project) OOSTERWIJCK'S UNIQUE BOX CASE p.20 Overview Show Wood Carcass Construction Damage Control Mortised Hinges A Royal 'Haagse Klok' Reviewed by Keith Piggott FIRST ASSESSMENTS p.22 APPENDIX ONE - Technical, Dimensions, Tables with Comparable Coster Trains - (Dr Plomp's 'Chronology' D3 and D8) 25/7/1 0 Contents (Horological Foundation) APPENDIX TWO - Conservation of Unique Case General Conservation Issues - Oosterwijck‟s Kingwood and Ebony Box INTRODUCTION First Impressions. APPENDIX SIX - RH Provenance, Sir John Shaw Bt. Genealogy HUYGENS AUTHORITIES p.1 Collections and Exhibitions Didactic Scholarship PART II. „OSCILLATORIUM‟ p.24 Who was Severijn Oosterwijck? Perspectives, Hypotheses, Open Research GENERAL OBSERVATIONS p.2 The Inspection Author's Foreword - Catalyst and Conundrums Originality 1. Coster‟s Other Contracts? p.24 Unique Features 2. Coster‟s Clockmakers? p.24 Plomp‟s Characteristic Properties 3. Fromanteel Connections? p.25 Comparables 4. „Secreet‟ Constructions? p.25 Unknown Originator : German Antecedents : Application to Galilei's Pendulum : Foreknowledge of Burgi : The Secret Outed? : Derivatives : Whose Secret? PART I. „HOROLOGIUM‟ p.3 5. Personal Associations? p.29 6. The Seconds‟ Hiatus? p.29 The Clock Treffler's Copy : Later Seconds‟ Clocks : Oosterwijck‟s Options. 7. Claims to Priority? p.33 THE VELVET DIALPLATE p.3 8. Valuation? p.34 Overview Signature Plate APPENDIX THREE - Open Research Projects, Significant Makers Chapter Ring User-Access Data Comparable Pendulum Trains, Dimensions. -
Does Methane Flow on Titan?
Planetary science Does methane Scientists are eager to prove that the meandering river valleys and braided streambeds seen on Saturn’s largest moon carry liquid methane to its vast lakes. by Robert Zimmerman flow onTITAN? The Huygens probe captured ine years ago, Europe’s Huy- new world,” raved Jean-Jacques Dordain, theorized that methane might be able to Now, nearly a decade later, planetary Before the two probes this 360° panorama of Titan’s surface from an altitude of 6 gens probe dropped through ESA’s director general. flow on Titan like water does on Earth. scientists remain as excited and baffled Dutch astronomer Christiaan Huygens miles (10 kilometers) as it de- the atmosphere of Saturn’s “I’m shocked! It’s remarkable!” Once they got close enough to get a good by Titan as they did before Huygens discovered Titan in 1655. For centuries, scended through the saturnian moon Titan and landed on enthused Carolyn Porco, leader of the look, the thinking went, probes might arrived. In the years since, the Cassini scientists thought this moon was the moon’s atmosphere January the surface. Planetary scien- imaging team for NASA’s Cassini space- detect methane rainstorms feeding riv- spacecraft repeatedly has flown past solar system’s largest. In the mid-20th 14, 2005. Dark drainage chan- nels in the brighter highland Ntists reacted with unbridled joy to the craft, which delivered Huygens to Titan ers, lakes, and even oceans on that cold this giant moon, detecting what look century, however, observations revealed terrain appear to feed into a mission’s success. -
Mathematics, the Language of Watchmaking
View metadata, citation and similar papers at core.ac.uk brought to you by CORE 90LEARNINGprovidedL by Infoscience E- École polytechniqueA fédérale de LausanneRNINGLEARNINGLEARNING Mathematics, the language of watchmaking Morley’s theorem (1898) states that if you trisect the angles of any triangle and extend the trisecting lines until they meet, the small triangle formed in the centre will always be equilateral. Ilan Vardi 1 I am often asked to explain mathematics; is it just about numbers and equations? The best answer that I’ve found is that mathematics uses numbers and equations like a language. However what distinguishes it from other subjects of thought – philosophy, for example – is that in maths com- plete understanding is sought, mostly by discover- ing the order in things. That is why we cannot have real maths without formal proofs and why mathe- maticians study very simple forms to make pro- found discoveries. One good example is the triangle, the simplest geometric shape that has been studied since antiquity. Nevertheless the foliot world had to wait 2,000 years for Morley’s theorem, one of the few mathematical results that can be expressed in a diagram. Horology is of interest to a mathematician because pallet verge it enables a complete understanding of how a watch or clock works. His job is to impose a sequence, just as a conductor controls an orches- tra or a computer’s real-time clock controls data regulating processing. Comprehension of a watch can be weight compared to a violin where science can only con- firm the preferences of its maker. -
Technical Data Sheet RM
TECHNICAL SPECIFICATIONS OF THE TOURBILLON RICHARD MILLE RM 053 PABLO MAC DONOUGH Limited edition of 15 pieces. CALIBER RM053: manual winding tourbillion movement tilted 30° with hours, minutes and seconds. Dimensions: 50 mm x 42.70 mm x 20.00 mm. MAIN FEATURES POWER RESERVE Circa 48 hours. BASEPLATE AND BRIDGES IN GRADE 5 TITANIUM The manufacturing of these components in grade 5 titanium gives the whole assembly a high degree of rigidity and achieves excellent surface flatness which is essential for ensuring that the gear train functions perfectly. The skeletonized baseplate and the bridges have been subjected to intensive and complete validation tests to optimize their resistance capacities. It is tilted 30° providing optimal conditions for users to check the time on their wrist. Both compact and lightweight, the RM053 movement is ultra-resistant to the centrifugal and centripetal forces generated during a match. FREE SPRUNG BALANCE WHEEL WITH VARIABLE INERTIA The free-sprung balance provides better reliability in the event of shocks, movement assembly and disassembly. It also guarantees better chronometric results over an extended period of time. There is no need for an index plate, allowing more precise and frequent adjustment using 4 setting screws. FAST ROTATING BARREL (6 hours per revolution instead of 7.5 hours) This type of barrel provides the following advantages: - The phenomenon of periodic internal mainspring adhesion is significantly diminished, thereby increasing performance, - Provision of an excellent mainspring delta curve with an ideal power reserve/performance/regularity ratio. BARREL PAWL WITH PROGRESSIVE RECOIL This device permits a profitable winding gain (circa 20 %), especially during the winding start. -
The Birth of the Meter Randy K
“Here is a story that ties together seemingly disparate threads in the development of trigonometry, calculus, and differential equations.” The Birth of the Meter Randy K. Schwartz Schoolcraft College, Livonia, MI t first thought, it might seem like the selection of units naval powers, since it allowed them to solve the age-old nau- for length and other physical quantities would be tical problem of finding one’s position at sea. Aarbitrary—so how could it involve any significant Nowadays, with GPS satellites and inertial guidance sys- mathematics? tems all around us, we tend to forget just how difficult it was But creating the world’s first system of measurements that for explorers like Columbus and Cartier to find their coordi- would not be arbitrary was one of the announced goals of the nates. Figuring out your latitude , or angular coordinate north leaders of the French Revolution after they seized power in or south of the Equator, was a fairly straightforward calcula- 1789. That is why they had to recruit some of the most eminent tion, based on using a quadrant or sextant to record the angle mathematicians of the time to work on the problem of defining of the Sun or other stars above the horizon. For example, at the meter, which would be the new system’s fundamental unit. night in the northern hemisphere, the angle of Polaris (the The contentious and painful birth of the meter turned out to be North Star) above the horizon, in degrees, is almost exactly an exciting chapter in the application of mathematics, a story the latitude of the observer, and an astronomical table could be that ties together seemingly disparate threads in the develop- consulted to improve accuracy.