Lesson 9. Chronology, Daniel Flaut.Pdf
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A Study of Ancient Khmer Ephemerides
A study of ancient Khmer ephemerides François Vernotte∗ and Satyanad Kichenassamy** November 5, 2018 Abstract – We study ancient Khmer ephemerides described in 1910 by the French engineer Faraut, in order to determine whether they rely on observations carried out in Cambodia. These ephemerides were found to be of Indian origin and have been adapted for another longitude, most likely in Burma. A method for estimating the date and place where the ephemerides were developed or adapted is described and applied. 1 Introduction Our colleague Prof. Olivier de Bernon, from the École Française d’Extrême Orient in Paris, pointed out to us the need to understand astronomical systems in Cambo- dia, as he surmised that astronomical and mathematical ideas from India may have developed there in unexpected ways.1 A proper discussion of this problem requires an interdisciplinary approach where history, philology and archeology must be sup- plemented, as we shall see, by an understanding of the evolution of Astronomy and Mathematics up to modern times. This line of thought meets other recent lines of research, on the conceptual evolution of Mathematics, and on the definition and measurement of time, the latter being the main motivation of Indian Astronomy. In 1910 [1], the French engineer Félix Gaspard Faraut (1846–1911) described with great care the method of computing ephemerides in Cambodia used by the horas, i.e., the Khmer astronomers/astrologers.2 The names for the astronomical luminaries as well as the astronomical quantities [1] clearly show the Indian origin ∗F. Vernotte is with UTINAM, Observatory THETA of Franche Comté-Bourgogne, University of Franche Comté/UBFC/CNRS, 41 bis avenue de l’observatoire - B.P. -
The Mathematics of the Chinese, Indian, Islamic and Gregorian Calendars
Heavenly Mathematics: The Mathematics of the Chinese, Indian, Islamic and Gregorian Calendars Helmer Aslaksen Department of Mathematics National University of Singapore [email protected] www.math.nus.edu.sg/aslaksen/ www.chinesecalendar.net 1 Public Holidays There are 11 public holidays in Singapore. Three of them are secular. 1. New Year’s Day 2. Labour Day 3. National Day The remaining eight cultural, racial or reli- gious holidays consist of two Chinese, two Muslim, two Indian and two Christian. 2 Cultural, Racial or Religious Holidays 1. Chinese New Year and day after 2. Good Friday 3. Vesak Day 4. Deepavali 5. Christmas Day 6. Hari Raya Puasa 7. Hari Raya Haji Listed in order, except for the Muslim hol- idays, which can occur anytime during the year. Christmas Day falls on a fixed date, but all the others move. 3 A Quick Course in Astronomy The Earth revolves counterclockwise around the Sun in an elliptical orbit. The Earth ro- tates counterclockwise around an axis that is tilted 23.5 degrees. March equinox June December solstice solstice September equinox E E N S N S W W June equi Dec June equi Dec sol sol sol sol Beijing Singapore In the northern hemisphere, the day will be longest at the June solstice and shortest at the December solstice. At the two equinoxes day and night will be equally long. The equi- noxes and solstices are called the seasonal markers. 4 The Year The tropical year (or solar year) is the time from one March equinox to the next. The mean value is 365.2422 days. -
Downloading the Application Form at the Following Address
Hanno Collaborato A queSto NumeRo: IL NUOVO SAGGIATORE f. K. A. Allotey, L. Belloni, BOLLETTINO DELLA SOCIETÀ ITALIANA DI FISICA G. Benedek, A. Bettini, t. m. Brown, Nuova Serie Anno 26 • N. 5 settembre-ottobre 2010 • N. 6 novembre-dicembre 2010 f. Brunetti, G. Caglioti, R. Camuffo, A. Cammelli, e. Chiavassa, DIRETTORE RESPONSABILE ViCeDiRettoRi ComitAto scieNtifiCo L. Cifarelli, e. De Sanctis, A. Di Carlo, Luisa Cifarelli Sergio focardi G. Benedek, A. Bettini, i. Di Giovanni, R. fazio, f. ferrari, Giuseppe Grosso S. Centro, e. De Sanctis, S. focardi, R. Gatto, A. Gemma, e. iarocci, i. ortalli, L. Grodzins, G. Grosso, f. Guerra, f. Palmonari, R. Petronzio, f. iachello, W. Kininmonth, e. Longo, P. Picchi, B. Preziosi S. mancini, P. mazzoldi, A. oleandri, G. onida, V. Paticchio, f. Pedrielli, A. Reale, G. C. Righini, N. Robotti, W. Shea, i. talmi, A. tomadin, m. Zannoni, A. Zichichi Sommario 3 EDITORIALE / EDITORIAL 84 50 anni di laser. Tavola rotonda al XCVI Congresso Nazionale della SIF SCieNZA iN PRimO PIANO G. C. Righini 5 Quantum simulators and 86 Assemblea di ratifica delle elezioni quantum design delle cariche sociali della SIF per il R. fazio, A. tomadin triennio 2011-2013 10 La rivoluzione della plastica nel 87 African Physical Society settore fotovoltaico f. K. A. Allotey A. Di Carlo, A. Reale, t. m. Brown, 90 Nicola Cabibbo and his role in f. Brunetti elementary-particle theory Percorsi R. Gatto 23 The tabletop measurement of the News helicity of the neutrino 92 The Italian graduate profile survey L. Grodzins A. Cammelli 30 Giulio Racah (1909-1965): 96 Premio Fermi 2010 modern spectroscopy A. -
Geochronology Database for Central Colorado
Geochronology Database for Central Colorado Data Series 489 U.S. Department of the Interior U.S. Geological Survey Geochronology Database for Central Colorado By T.L. Klein, K.V. Evans, and E.H. DeWitt Data Series 489 U.S. Department of the Interior U.S. Geological Survey U.S. Department of the Interior KEN SALAZAR, Secretary U.S. Geological Survey Marcia K. McNutt, Director U.S. Geological Survey, Reston, Virginia: 2010 For more information on the USGS—the Federal source for science about the Earth, its natural and living resources, natural hazards, and the environment, visit http://www.usgs.gov or call 1-888-ASK-USGS For an overview of USGS information products, including maps, imagery, and publications, visit http://www.usgs.gov/pubprod To order this and other USGS information products, visit http://store.usgs.gov Any use of trade, product, or firm names is for descriptive purposes only and does not imply endorsement by the U.S. Government. Although this report is in the public domain, permission must be secured from the individual copyright owners to reproduce any copyrighted materials contained within this report. Suggested citation: T.L. Klein, K.V. Evans, and E.H. DeWitt, 2009, Geochronology database for central Colorado: U.S. Geological Survey Data Series 489, 13 p. iii Contents Abstract ...........................................................................................................................................................1 Introduction.....................................................................................................................................................1 -
Michael Kühn Detlev Auvermann RARE BOOKS
ANTIQUARIAT 55Michael Kühn Detlev Auvermann RARE BOOKS 1 Rolfinck’s copy ALESSANDRINI, Giulio. De medicina et medico dialogus, libris quinque distinctus. Zurich, Andreas Gessner, 1557. 4to, ff. [6], pp. AUTOLYKOS (AUTOLYCUS OF PYTANE). 356, ff. [8], with printer’s device on title and 7 woodcut initials; a few annotations in ink to the text; a very good copy in a strictly contemporary binding of blind-stamped pigskin, the upper cover stamped ‘1557’, red Autolyci De vario ortu et occasu astrorum inerrantium libri dvo nunc primum de graeca lingua in latinam edges, ties lacking; front-fly almost detached; contemporary ownership inscription of Werner Rolfinck on conuersi … de Vaticana Bibliotheca deprompti. Josepho Avria, neapolitano, interprete. Rome, Vincenzo title (see above), as well as a stamp and duplicate stamp of Breslau University library. Accolti, 1588. 4to, ff. [6], pp. 70, [2]; with large woodcut device on title, and several woodcut diagrams in the text; title a little browned, else a fine copy in 19th-century vellum-backed boards, new endpapers. EUR 3.800.- EUR 4.200.- First edition of Alessandrini’s medical dialogues, his most famous publication and a work of rare erudition. Very rare Latin edition, translated from a Greek manuscript at the Autolycus was a Greek mathematician and astronomer, who probably Giulio Alessandrini (or Julius Alexandrinus de Neustein) (1506–1590) was an Italian physician and author Vatican library, of Autolycus’ work on the rising and setting of the fixed flourished in the second half of the 4th century B.C., since he is said to of Trento who studied philosophy and medicine at the University of Padua, then mathematical science, stars. -
The Calendars of India
The Calendars of India By Vinod K. Mishra, Ph.D. 1 Preface. 4 1. Introduction 5 2. Basic Astronomy behind the Calendars 8 2.1 Different Kinds of Days 8 2.2 Different Kinds of Months 9 2.2.1 Synodic Month 9 2.2.2 Sidereal Month 11 2.2.3 Anomalistic Month 12 2.2.4 Draconic Month 13 2.2.5 Tropical Month 15 2.2.6 Other Lunar Periodicities 15 2.3 Different Kinds of Years 16 2.3.1 Lunar Year 17 2.3.2 Tropical Year 18 2.3.3 Siderial Year 19 2.3.4 Anomalistic Year 19 2.4 Precession of Equinoxes 19 2.5 Nutation 21 2.6 Planetary Motions 22 3. Types of Calendars 22 3.1 Lunar Calendar: Structure 23 3.2 Lunar Calendar: Example 24 3.3 Solar Calendar: Structure 26 3.4 Solar Calendar: Examples 27 3.4.1 Julian Calendar 27 3.4.2 Gregorian Calendar 28 3.4.3 Pre-Islamic Egyptian Calendar 30 3.4.4 Iranian Calendar 31 3.5 Lunisolar calendars: Structure 32 3.5.1 Method of Cycles 32 3.5.2 Improvements over Metonic Cycle 34 3.5.3 A Mathematical Model for Intercalation 34 3.5.3 Intercalation in India 35 3.6 Lunisolar Calendars: Examples 36 3.6.1 Chinese Lunisolar Year 36 3.6.2 Pre-Christian Greek Lunisolar Year 37 3.6.3 Jewish Lunisolar Year 38 3.7 Non-Astronomical Calendars 38 4. Indian Calendars 42 4.1 Traditional (Siderial Solar) 42 4.2 National Reformed (Tropical Solar) 49 4.3 The Nānakshāhī Calendar (Tropical Solar) 51 4.5 Traditional Lunisolar Year 52 4.5 Traditional Lunisolar Year (vaisnava) 58 5. -
Late Neogene Chronology: New Perspectives in High-Resolution Stratigraphy
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Columbia University Academic Commons Late Neogene chronology: New perspectives in high-resolution stratigraphy W. A. Berggren Department of Geology and Geophysics, Woods Hole Oceanographic Institution, Woods Hole, Massachusetts 02543 F. J. Hilgen Institute of Earth Sciences, Utrecht University, Budapestlaan 4, 3584 CD Utrecht, The Netherlands C. G. Langereis } D. V. Kent Lamont-Doherty Earth Observatory of Columbia University, Palisades, New York 10964 J. D. Obradovich Isotope Geology Branch, U.S. Geological Survey, Denver, Colorado 80225 Isabella Raffi Facolta di Scienze MM.FF.NN, Universita ‘‘G. D’Annunzio’’, ‘‘Chieti’’, Italy M. E. Raymo Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 N. J. Shackleton Godwin Laboratory of Quaternary Research, Free School Lane, Cambridge University, Cambridge CB2 3RS, United Kingdom ABSTRACT (Calabria, Italy), is located near the top of working group with the task of investigat- the Olduvai (C2n) Magnetic Polarity Sub- ing and resolving the age disagreements in We present an integrated geochronology chronozone with an estimated age of 1.81 the then-nascent late Neogene chronologic for late Neogene time (Pliocene, Pleisto- Ma. The 13 calcareous nannoplankton schemes being developed by means of as- cene, and Holocene Epochs) based on an and 48 planktonic foraminiferal datum tronomical/climatic proxies (Hilgen, 1987; analysis of data from stable isotopes, mag- events for the Pliocene, and 12 calcareous Hilgen and Langereis, 1988, 1989; Shackle- netostratigraphy, radiochronology, and cal- nannoplankton and 10 planktonic foram- ton et al., 1990) and the classical radiometric careous plankton biostratigraphy. -
Using Timelines to Teach History
Using Timelines to Teach History The questions of how and why events occurred takes place over time. Timelines can serve as a visual tool for studying periods of history —a day, a year, an era— and help students grasp the nuances of causality and continuity1. Many teachers discuss the struggle to help students care about chronology. A deliberate plotting of events organized around a common theme can spur them into realizing not only how history happened, but how to construct meaning and examine the human experience throughout an historical era. Using timelines in the classroom can also encourage students to see interdisciplinary connections between events occurring in a single period by including the lenses of music, art, science, or literature. It is, in fact, not accidental that a certain poem might be recognized as tragic or triumphant depending on its year of its publication. A painting like Picasso’s Guernica speaks to the tragedy of war by taking into consideration the time of its creation. A record of an event or era can help students have more “ah-ha” moments, and help bring history to life by mapping events onto a cohesive temporal narrative. In this way, timelines can be a highly valuable resource when studying the Holocaust within 20th century history. One of the core pedagogical principles of Echoes & Reflections is the belief that the Holocaust was not inevitable. Using a timeline can underscore this idea, and help students grasp that the Holocaust was a progression of events, decisions, actions, and inactions, any of which might have happened differently if different choices were made. -
Zerohack Zer0pwn Youranonnews Yevgeniy Anikin Yes Men
Zerohack Zer0Pwn YourAnonNews Yevgeniy Anikin Yes Men YamaTough Xtreme x-Leader xenu xen0nymous www.oem.com.mx www.nytimes.com/pages/world/asia/index.html www.informador.com.mx www.futuregov.asia www.cronica.com.mx www.asiapacificsecuritymagazine.com Worm Wolfy Withdrawal* WillyFoReal Wikileaks IRC 88.80.16.13/9999 IRC Channel WikiLeaks WiiSpellWhy whitekidney Wells Fargo weed WallRoad w0rmware Vulnerability Vladislav Khorokhorin Visa Inc. Virus Virgin Islands "Viewpointe Archive Services, LLC" Versability Verizon Venezuela Vegas Vatican City USB US Trust US Bankcorp Uruguay Uran0n unusedcrayon United Kingdom UnicormCr3w unfittoprint unelected.org UndisclosedAnon Ukraine UGNazi ua_musti_1905 U.S. Bankcorp TYLER Turkey trosec113 Trojan Horse Trojan Trivette TriCk Tribalzer0 Transnistria transaction Traitor traffic court Tradecraft Trade Secrets "Total System Services, Inc." Topiary Top Secret Tom Stracener TibitXimer Thumb Drive Thomson Reuters TheWikiBoat thepeoplescause the_infecti0n The Unknowns The UnderTaker The Syrian electronic army The Jokerhack Thailand ThaCosmo th3j35t3r testeux1 TEST Telecomix TehWongZ Teddy Bigglesworth TeaMp0isoN TeamHav0k Team Ghost Shell Team Digi7al tdl4 taxes TARP tango down Tampa Tammy Shapiro Taiwan Tabu T0x1c t0wN T.A.R.P. Syrian Electronic Army syndiv Symantec Corporation Switzerland Swingers Club SWIFT Sweden Swan SwaggSec Swagg Security "SunGard Data Systems, Inc." Stuxnet Stringer Streamroller Stole* Sterlok SteelAnne st0rm SQLi Spyware Spying Spydevilz Spy Camera Sposed Spook Spoofing Splendide -
Kepler and the Jesuits, Michael Walter Burke-Gaffney, S.J. (1944).Pdf
ixNM^KrnrFRi^ mji iiiNir*! CO c >KU\ ic»n \f» v Mftimioriiu'.t n ( < nice r O Mai mi v* Nf amtouvs LHrJUULI m nc. xwii § m m > z a H m3C jftaUISp m en C H theJESU CD BY M.W. BURKE - GAFFNEY ST. IGNATIUS LIBRARY »**,.* ^ » 980 T- PARK AVENUE / »naT,„, oh NEW YORK CITY 28 "«w Vowk Date Loaned ©23 IM ^0*0v&*0v&A&*&*&*&H&*&*&*&K&r&*&*.&>»&*'&*&*,O'*'&*-0*&*&* Kepler and the Jesuits ^^<^W^Jl^X^lt^>C^lC^X^X^K^>t^X^5<^X^X^K^X^X^X^X^X^l<^)t^l<^> "My thoughts are with the Dead; with them 1 live in long-past years, Their virtues love, their faults condemn, Partake their hopes and fears, And from their lessons seek and find Instruction with a humble mind." — SOUTHEY. M. W. BURKE-GAFFNEY, S.J. 'I measured the skies." Johann Kepler THE BRUCE PUBLISHING COMPANY MILWAUKEE Imprimi potest: T. J. Mullai-ly, S.J. Nihil obstat: H. B. Rjes, Censor librorum Imprimatur: + Moyses E. Kiley. Archiepiscopus Milwaukiensis Die 11 Aprilis. 1944 CONTENTS Page Chapte f 1 I Introducing Kepler II The Imperial Mathematician 15 III . 26 IV V . 60 VI Sunspots ..... • 71 VII Mercury in the Sun . 8s 9i WAR FORMAT VIII Heliocentric Hypothesis • This book is produced in complete accord with the Governinem regulations for the conservation of paper and other essential materials. IX X Aids to Astronomy . 117 XI The Last Chapter 129 Bibli Copyright. 1944 The Bruce Publishing Company Indej Printed in the United States of America CHAPTER I INTRODUCING KEPLER Johann Kepler was enjoying a studentship at the University of Tubingen when the Parodies, the Lutheran school at Graz, applied for a teacher of astronomy. -
First King of Rome Romulus Calendar 753 BC Martius (31 Days)
First King of Rome Second King of Rome Julius Caesar Pope Gregory XIII God and Jesus Christ Romulus Calendar Numa Calendar Julian Calendar Gregorian Calendar New Jerusalem Calendar 753 BC 715 BC 45 BC 1582 AD (The Present) Martius (31 days) Martius (31 days) Ianuarius (31 days) January (31 days) New Year Day 0/0 Leap Day 0/1 Aprilus (30 days) Aprilus (29 days) Februarius (28/29 days) February (28/29 days) March (30 days) Maius (31 days) Martius (31 days) March (31 days) Maius (31 days) April (31 days) Iunius (29 days) Aprilus (30 days) April (30 days) Iunius (30 days) May (31 days) May (30 days) Quintilus (31 days) Maius(31 days) June (30 days) Quintilus (31 days) June (30 days) Sextilus (29 days) Iunius (30 days) July (31 days) Sextilus (30 days) July (31 days) September (29 days) Iulius (31 days) August (30 days) August (31 days) September (30 days) October (31 days) Augustus (31 days) September (30 days) September (30 days) October (31 days) November (29 days) September (30 days) October (31 days) October (31 days) November (30 days) November (30 days) December (29 days) October (31days) November (30 days) December (30 days) December (30 days) Ianuarius (29 days) November (30 days) December (31 days) January (31 days) Winter day period Februarius (28 days) December (31 days) February (30 days) Notes: Notes: Notes: Notes: Notes: At some point between Year of Confusion in Martius (March) the Although the Gregorian On the New Jerusalem first month. New Year 715 BC and 45 BC the 46 BC had 445 days. -
Tidal Datums and Their Applications
U.S. DEPARTMENT OF COMMERCE National Oceanic and Atmospheric Administration National Ocean Service Center for Operational Oceanographic Products and Services TIDAL DATUMS AND THEIR APPLICATIONS NOAA Special Publication NOS CO-OPS 1 NOAA Special Publication NOS CO-OPS 1 TIDAL DATUMS AND THEIR APPLICATIONS Silver Spring, Maryland June 2000 noaa National Oceanic and Atmospheric Administration U.S. DEPARTMENT OF COMMERCE National Ocean Service Center for Operational Oceanographic Products and Services Center for Operational Oceanographic Products and Services National Ocean Service National Oceanic and Atmospheric Administration U.S. Department of Commerce The National Ocean Service (NOS) Center for Operational Oceanographic Products and Services (CO-OPS) collects and distributes observations and predictions of water levels and currents to ensure safe, efficient and environmentally sound maritime commerce. The Center provides the set of water level and coastal current products required to support NOS’ Strategic Plan mission requirements, and to assist in providing operational oceanographic data/products required by NOAA’s other Strategic Plan themes. For example, CO-OPS provides data and products required by the National Weather Service to meet its flood and tsunami warning responsibilities. The Center manages the National Water Level Observation Network (NWLON) and a national network of Physical Oceanographic Real-Time Systems (PORTSTM) in major U.S. harbors. The Center: establishes standards for the collection and processing of water level and current data; collects and documents user requirements which serve as the foundation for all resulting program activities; designs new and/or improved oceanographic observing systems; designs software to improve CO-OPS’ data processing capabilities; maintains and operates oceanographic observing systems; performs operational data analysis/quality control; and produces/disseminates oceanographic products.