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Lessons from Reading Clavius
Christopher Clavius, S.J. Calendar Reform Lessons from Clavius Conclusion Lessons from reading Clavius Anders O. F. Hendrickson Concordia College Moorhead, MN MathFest, Pittsburgh August 5, 2010 Christopher Clavius, S.J. Calendar Reform Lessons from Clavius Conclusion Outline 1 Christopher Clavius, S.J. 2 Calendar Reform 3 Lessons from Clavius 4 Conclusion Christopher Clavius, S.J. Calendar Reform Lessons from Clavius Conclusion Christopher Clavius, S.J. (1538–1612) Christopher Clavius, S.J. Calendar Reform Lessons from Clavius Conclusion Clavius’s life Born in Bamberg c. 1538 1555 received into the Society of Jesus by St. Ignatius Loyola 1556–1560 studied philosophy at Coimbra 1561–1566 studied theology at the Collegio Romano 1567–1612 professor of mathematics at Collegio Romano 1570 published Commentary on the Sphere of Sacrobosco 1574 published edition of Euclid’s Elements c. 1572–1582 on papal calendar commission c. 1595 retired from teaching, focused on research 1612 died in Rome Christopher Clavius, S.J. Calendar Reform Lessons from Clavius Conclusion Clavius as teacher As a teacher, Clavius Taught elementary (required) courses in astronomy Led a seminar for advanced students Fought for status of mathematics in the curriculum Christopher Clavius, S.J. Calendar Reform Lessons from Clavius Conclusion Calendar Reform: Solar How to keep the calendar in synch with solar year (365.24237 days, equinox to equinox): Julian calendar: 365.25 days Gregorian calendar: omit 3 leap days every 400 years; hence 365.2425 days Christopher Clavius, S.J. Calendar Reform Lessons from Clavius Conclusion Calendar Reform: Lunar Easter is the first Sunday after the first full moon on or after the vernal equinox. -
The Gregorian Calendar in New Spain: a Problem in Sixteenth-Century Chronology." New Mexico Historical Review 58, 3 (1983)
New Mexico Historical Review Volume 58 Number 3 Article 3 7-1-1983 The Gregorian Calendar in New Spain: A Problem in Sixteenth- Century Chronology Harry Kelsey Follow this and additional works at: https://digitalrepository.unm.edu/nmhr Recommended Citation Kelsey, Harry. "The Gregorian Calendar in New Spain: A Problem in Sixteenth-Century Chronology." New Mexico Historical Review 58, 3 (1983). https://digitalrepository.unm.edu/nmhr/vol58/iss3/3 This Article is brought to you for free and open access by UNM Digital Repository. It has been accepted for inclusion in New Mexico Historical Review by an authorized editor of UNM Digital Repository. For more information, please contact [email protected], [email protected], [email protected]. THE GREGORIAN CALENDAR IN NEW SPAIN: A PROBLEM IN SIXTEENTH-CENTURY CHRONOLOGY HARRY KELSEY AFTER AYEAR-LONG JOURNEY TO NEW MEXICO, Antonio de Espejo arrived in Santa Barbara, Nueva Vizcaya, in the fall of 1583, weary, confused, but full of information about the new country he had seen. Almost immediately he began to compose a report, signing and dating it "at the end of the month of October" 1583. 1 This dating may seem imprecise for a formal report, and the truth is that Espejo did not know how to write the date. He seemed sure about the date of his return, 20 September, and he knew that he had been back for twenty-fivedays, more or less. He recorded all this very carefully in a covering letter. But Espejo was confused about the date. He could do no better in his calculations than to call it "the end of October."2 The reason for his confusion is simple. -
Forty Days of Lent, 2008
Lent, observing and the readings Forty Days of Lent, 2008 Buy The Complete Version of This Book at Booklocker.com: http://www.booklocker.com/p/books/3293.html?s=pdf Forty Days Of Lent, 2008 Log onto nolosolo.com and Join me for Lent! Readers get access to the special “members only” area. Directions are on the last page of the book. 1 Forty Days of Lent, 2008 Published by: Greyhound Books 2000 Stock Creek Road Knoxville, TN 37920 www.nolosolo.com All rights reserved. No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without written permission from the authors, except for the inclusion of brief quotations in reviews. Copyright 2007 by Cyn Mobley ISBN trade paperback: 1-59677-058-9 ISBN Ebook: 1-59677-059-7 First printing, Jan 2008 2 Forty Days Of Lent, 2008 “Oh, my. A members-only area on the message board?” The Sacristy Rat 3 Table of Contents Introduction 6 Lent: The Not-So-FAQ 10 An Overview of the Readings 18 Ash Wednesday First Sunday Second Sunday Third Sunday Fourth Sunday Fifth Sunday Sixth Sunday Forty Things To Do During Lent 38 The Readings Themselves 46 And on the VERY LAST PAGE: Instructions on how to gain access to a special “members only” area at nolosolo.com. Please join us in an ad hoc, on-the-run community to observe Lent together. 4 Lent: the Not-So-FAQ Lent: it’s not just for quitters. -
Utiles Et Necessarias: Early Modern Science and the Society of Jesus
Utiles et Necessarias: Early Modern Science and the Society of Jesus Sister Mary Sarah Galbraith, O.P. A thesis submitted in conformity with the requirements for the degree of Doctor of Philosophy in the Unit of History and Philosophy of Science, Faculty of Science University of Sydney March 2021 Utiles et Necessarias 2 Utiles et Necessarias 3 Utiles et Necessarias: Early Modern Science and the Society of Jesus Sister Mary Sarah Galbraith, O.P. This thesis treats of the contributions made by the Society of Jesus to Early Modern science, amidst the complexities of the post Reformation, post Copernican era. Its focus is the life and work of the Jesuit Christopher Clavius (1538-1612), the architect and founder of a mathematics academy at the Collegio Romano. Using extant correspondence, pamphlet, prefatory dedications and commentaries, I show that Clavius created a strategy to recruit and train Jesuit priests in mathematics to be exported throughout Europe and to remote missionary outposts. As a specially trained corps of priest mathematicians, the Jesuits used the truths of mathematics and the mathematical sciences to draw potential converts to the truths of faith and religious conversion. The approach was initially successful. As the scientific and religious culture shifted in the sixteenth century, however, reliance upon traditional sources of authority, knowledge and belief came under scrutiny. As priests and mathematicians who were invested in both sacred and secular realms, members of the Society struggled to adhere to the tenets of traditional natural philosophy and to promote the new sciences, for the purposes of religious conversion. The approach that substituted the truths of mathematics for the truths of dogmatic faith was intended to engender confidence. -
What Is Orthodox Easter?
St. Xenia of Rome Independent Catholic Orthodox Mission What is Orthodox Easter? Orthodox Easter, also called Pascha and Resurrection Sunday, is the oldest and most important festival in the Eastern Christian tradition, celebrating Jesus Christ's resurrection (rising from the grave) following his crucifixion and death. His resurrection forms the basis of Christian faith as it demonstrates Jesus to be the Son of God, and symbolizes his conquest of death. Orthodox Easter celebration in Cyprus In most years its date differs from the date of Easter in Western Christianity (catholic and protestant Easter), and is usually one week, but occasionally four or five weeks, later. However, in some years Orthodox Easter coincides with Western Easter and both observances fall on the same date. In Western Christianity, the date of Easter is based on the Gregorian calendar and can fall between March 22 and April 25. The Eastern Christian tradition bases its calculations of Orthodox Easter on the Julian calendar, which differs from the Gregorian calendar by 13 days. This results in a possible date range of April 4 to May 8. However, both Western and Eastern churches agree that Easter should be celebrated on the first Sunday after the first full moon after the Spring Equinox, but always after Passover. Occasionally initiatives are started to introduce a fixed and unified date of Easter (probably the second or third Sunday in April), however there are currently no concrete plans to do so. The following WikipediA pages explain the list of dates for Easter for both Western and Easter church traditions for the years 2000 to 2040: 1 List of dates for Easter This is a list of dates for Easter. -
The Curious Case of the Milankovitch Calendar
Hist. Geo Space Sci., 10, 235–243, 2019 https://doi.org/10.5194/hgss-10-235-2019 © Author(s) 2019. This work is distributed under the Creative Commons Attribution 4.0 License. The curious case of the Milankovitch calendar Nenad Gajic Faculty of Technical Sciences, Trg Dositeja Obradovica´ 6, 21000 Novi Sad, Serbia Correspondence: Nenad Gajic ([email protected]) Received: 20 May 2019 – Revised: 11 August 2019 – Accepted: 23 August 2019 – Published: 26 September 2019 Abstract. The Gregorian calendar, despite being more precise than the Julian (which now lags 13 d behind Earth), will also lag a day behind nature in this millennium. In 1923, Milutin Milankovitch presented a calen- dar of outstanding scientific importance and unprecedented astronomical accuracy, which was accepted at the Ecumenical Congress of Eastern Orthodox churches. However, its adoption is still partial in churches and nonex- istent in civil states, despite nearly a century without a better proposition of calendar reform in terms of both precision and ease of transition, which are important for acceptance. This article reviews the development of calendars throughout history and presents the case of Milankovitch’s, explaining its aims and methodology and why it is sometimes mistakenly identified with the Gregorian because of their long consonance. Religious as- pects are briefly covered, explaining the potential of this calendar to unite secular and religious purposes through improving accuracy in both contexts. 1 Introduction global scientific project called “Climate: Long range Inves- tigation, Mapping, and Prediction” (CLIMAP, 1981), which aimed to reconstruct the worldwide climate history through Milutin Milankovic´ (1879–1958; see Fig. -
Villa Mondragone 19Th-20Th September
Villa Mondragone 19th-20th September. Vortical Structures and Wall Turbulence Paolo Orlandi: a vortical and turbulent life VILLA MONDRAGONE a voyage through the centuries between Science and Art VILLA MONDRAGONE A beautiful Villa, with a park of 18 hectares, owned by the University of Rome “Tor Vergata” and now used for Conferences and events. It is located in Monte Porzio Catone, on the hills SE of Rome at about 400m a.s.l. and 20Km from the city centre THE NAME “Mons Draconis” (Mountain of the Dragon) The name refers to the location on the top of the hill (Mons) and to the dragon (Draconis) part of the family crest of the noble family Boncompagni- Ludovisi to which Pope Gregorius XIII belonged (although the Villa never belonged to the Pope) A BIT OF HISTORY Already in the period of the ancient Romans the rich families used to move for the Summer on the hills around Rome (to avoid the humidity and the malaria of the flooded areas downtown). In the II century a.C. two brothers (senators) Sesto Quintilio Condiano and Sesto Quintilio Valerio Massimo built a villa in the same position and of the same size as Villa Mondragone (although with a different orientation) (The two senators were killed in 182 a.C. after an accuse of conspiracy against the Emperor Commodo) During the decline of the Roman Empire the villa was abandoned and only ruins were left in the 16th century A BIT OF HISTORY … in the XVI century the noble families continued the tradition of leaving Rome for the Summer The family Farnese had built “Villa Angelina”. -
Calendars from Around the World
Calendars from around the world Written by Alan Longstaff © National Maritime Museum 2005 - Contents - Introduction The astronomical basis of calendars Day Months Years Types of calendar Solar Lunar Luni-solar Sidereal Calendars in history Egypt Megalith culture Mesopotamia Ancient China Republican Rome Julian calendar Medieval Christian calendar Gregorian calendar Calendars today Gregorian Hebrew Islamic Indian Chinese Appendices Appendix 1 - Mean solar day Appendix 2 - Why the sidereal year is not the same length as the tropical year Appendix 3 - Factors affecting the visibility of the new crescent Moon Appendix 4 - Standstills Appendix 5 - Mean solar year - Introduction - All human societies have developed ways to determine the length of the year, when the year should begin, and how to divide the year into manageable units of time, such as months, weeks and days. Many systems for doing this – calendars – have been adopted throughout history. About 40 remain in use today. We cannot know when our ancestors first noted the cyclical events in the heavens that govern our sense of passing time. We have proof that Palaeolithic people thought about and recorded the astronomical cycles that give us our modern calendars. For example, a 30,000 year-old animal bone with gouged symbols resembling the phases of the Moon was discovered in France. It is difficult for many of us to imagine how much more important the cycles of the days, months and seasons must have been for people in the past than today. Most of us never experience the true darkness of night, notice the phases of the Moon or feel the full impact of the seasons. -
Philippine Studies Ateneo De Manila University • Loyola Heights, Quezon City • 1108 Philippines
philippine studies Ateneo de Manila University • Loyola Heights, Quezon City • 1108 Philippines A Problem of Chronology: The Quadricentennial of Manila and the Gregorian Calendar Pedro S. De Achutegui, S.J. Philippine Studies vol. 27, no. 3 (1979) 417–431 Copyright © Ateneo de Manila University Philippine Studies is published by the Ateneo de Manila University. Contents may not be copied or sent via email or other means to multiple sites and posted to a listserv without the copyright holder’s written permission. Users may download and print articles for individual, noncom- mercial use only. However, unless prior permission has been obtained, you may not download an entire issue of a journal, or download multiple copies of articles. Please contact the publisher for any further use of this work at [email protected]. http://www.philippinestudies.net Fri June 27 13:30:20 2008 Philippine Studies 27 (1979): 417-431 Notes and Comments A Problem of Chronology: The Quadricentennial of Manila and the Gregorian Calendar PEDRO S. DE ACH~~TEGUI,S.J. THE PROBLEM Pope Gregory XI11 (1502-1585) created the diocese of Manila as suffragan of the metropolitan archdiocese of Mexico with his bull "Ilhus fulti praesidio." The Latin bull carries the date "anno Incarnationis Dominicae millesimo quingentesimo septuagesimo octavo, octavo Idus Februarii, Pontificatus nostri anno septimo." Translated in today's chronological language, it means "the 6 of February 1578, the seventh year of our Pontificate."' The Manila Archdiocese is celebrating this year, 1979, the four hundredth anniversary of its establishment as a diocese. Would it not be an irony of history to celebrate the quadricentennial in 1979, if the diocese had been created in 1578? Is 1578 the exact year? If only for the sake of historical accuracy, it is important to clarify the issue once and for all. -
Perpetual Easter and Passover Calculator
Perpetual Easter and Passover Calculator R.H. van Gent url: http://www.staff.science.uu.nl/~gent0113/easter/eastercalculator.htm Astronomical and Gregorian Easter Sunday url: http://www.staff.science.uu.nl/~gent0113/easter/eastercalculator.htm The date of Easter Sunday is commonly defined as the first Sunday that falls after the full moon, sometimes called the Easter or Paschal Full Moon, that occurs after the spring equinox. As the precise computation of the moments of the spring equinox and the astronomical full moon is complex and laborious the determination of Easter Sunday has always been based on a simplified method. The date of the spring equinox is hereby fixed as 21 March and the ‘ecclesiastical’ full moon dates are obtained from a table based on the mean motions of the sun and the moon. The Easter Full Moon is the tabular full moon that occurs on or after 21 March and the first Sunday that occurs afterwards is Easter Sunday. The earliest possible date for Easter Sunday is thus 22 March, which can only occur when the Easter Full Moon falls on Saturday 21 March. As the astronomical spring equinox can actually occur on 19, 20 or 21 March and the astronomical full moon can also fall a day earlier or later than its mean tabular date it sometimes happens that the Easter date, as computed from the true motions of the sun and the moon, differs from the date as determined from the ecclesiastical rules. The following tables list the years between 1583 and 2500 when the dates of astronomical Easter Sunday and Gregorian Easter Sunday are different. -
4-21-19 EASTER Sunday Announcemenets Only
Easter, also called Pascha (Greek, Latin)[nb 2] or Resurrection Sunday,[4][5] is a St. Anna’s Episcopal Church, New Orleans A festival and holiday commemorating the resurrection of Jesus from the dead, April 21, 2019 described in the New Testament as having occurred on the third day after his burial following his crucifixion by the Romans at Calvary c. 30 AD.[6][7] It is the “All are welcomed none are shunned” culmination of the Passion of Jesus, preceded by Lent (or Great Lent), a 40-day period of fasting, prayer, and penance. Most Christians refer to the week before Easter as "Holy Week", which contains the days of the Easter Triduum, including Maundy Thursday, commemorating the Maundy and Last Supper, as well as Good Friday, commemorating the crucifixion and death of Jesus. In Western Christianity, Eastertide, or the Easter Season, begins on Easter Sunday and lasts seven weeks, ending with the coming of the 50th day, Pentecost Sunday. In Eastern Christianity, the season of Pascha begins on Pascha and ends with the coming of the 40th day, the Feast of the Ascension. Easter and the holidays that are related to it are moveable feasts which do not fall on a fixed date in the Gregorian or Julian calendars which follow only the cycle of the sun; rather, its date is offset from the date of Passover and is therefore calculated based on a lunisolar calendar similar to the Hebrew calendar. The First Council of Nicaea (325) established two rules, independence of the Jewish calendar and worldwide uniformity, which were the only rules for Easter explicitly laid down by the council. -
History of Science
ALOYSIUS LILIUS AUTHOR OF THE GREGORIAN REFORM OF THE CALENDAR Francesco Vizza* Abstract During the 16th century the disagreement between the dates of the Julian calendar, that had been in use since 46 BC and the vernal equinox, necessitated a correction to the computational rules used to regulate the flow of time. This was a very difficult task as it was necessary to resynchronize the civil time with celestial indicators, maintaining a lien adamant: the date of the vernal equinox, conventionally fixed perennially on March 21. In fact, during the Nicaea Council (325) the celebration of Easter was fixed on the first Sunday following the XIV Moon (Full Moon) belonging to the first month after the vernal equinox. Aloysius Lilius, a physician, astronomer and mathematician, using imprecise astronomical data contained in tables from three centuries before, was able to elaborate a calendar that has stood the test of time. By the use of two equations he was able to synchronize the solar and lunar cycles and to develop a useful tool, named the epact cycle, to determine without uncertainty the Easter date. Furthermore, the Lilian method offers the possibility to correct the calendar according to the variation of the tropic year during time. Unfortunately, only a few details of his personal life are known. Indeed, he has left only a few faint traces in public or private archives, so that today his name is almost unknown. In this paper are reported the few details known of his life and a reconstruction of his plan for the calendar reform. * Institute of Chemistry of Organometallic Componds (ICCOM-CNR) Via Madonna del Piano 10, 50019 Sesto Fiorentino (Italy), E-mail: [email protected] 1 1.