What Happened to the Ancient Library of Alexandria?
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Euclid's Elements - Wikipedia, the Free Encyclopedia
Euclid's Elements - Wikipedia, the free encyclopedia http://en.wikipedia.org/wiki/Euclid's_Elements Euclid's Elements From Wikipedia, the free encyclopedia Euclid's Elements (Ancient Greek: Στοιχεῖα Stoicheia) is a mathematical and geometric treatise Elements consisting of 13 books written by the ancient Greek mathematician Euclid in Alexandria c. 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The thirteen books cover Euclidean geometry and the ancient Greek version of elementary number theory. The work also includes an algebraic system that has become known as geometric algebra, which is powerful enough to solve many algebraic problems,[1] including the problem of finding the square root of a number.[2] With the exception of Autolycus' On the Moving Sphere, the Elements is one of the oldest extant Greek mathematical treatises,[3] and it is the oldest extant axiomatic deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science. The name 'Elements' comes from the plural of 'element'. The frontispiece of Sir Henry Billingsley's first According to Proclus the term was used to describe a English version of Euclid's Elements, 1570 theorem that is all-pervading and helps furnishing proofs of many other theorems. The word 'element' is Author Euclid, and translators in the Greek language the same as 'letter'. This Language Ancient Greek, translations suggests that theorems in the Elements should be seen Subject Euclidean geometry, elementary as standing in the same relation to geometry as letters number theory to language. -
The Sweep of History
STUDENT’S World History & Geography 1 1 1 Essentials of World History to 1500 Ver. 3.1.10 – Rev. 2/1/2011 WHG1 The following pages describe significant people, places, events, and concepts in the story of humankind. This information forms the core of our study; it will be fleshed-out by classroom discussions, audio-visual mat erials, readings, writings, and other act ivit ies. This knowledge will help you understand how the world works and how humans behave. It will help you understand many of the books, news reports, films, articles, and events you will encounter throughout the rest of your life. The Student’s Friend World History & Geography 1 Essentials of world history to 1500 History What is history? History is the story of human experience. Why study history? History shows us how the world works and how humans behave. History helps us make judgments about current and future events. History affects our lives every day. History is a fascinating story of human treachery and achievement. Geography What is geography? Geography is the study of interaction between humans and the environment. Why study geography? Geography is a major factor affecting human development. Humans are a major factor affecting our natural environment. Geography affects our lives every day. Geography helps us better understand the peoples of the world. CONTENTS: Overview of history Page 1 Some basic concepts Page 2 Unit 1 - Origins of the Earth and Humans Page 3 Unit 2 - Civilization Arises in Mesopotamia & Egypt Page 5 Unit 3 - Civilization Spreads East to India & China Page 9 Unit 4 - Civilization Spreads West to Greece & Rome Page 13 Unit 5 - Early Middle Ages: 500 to 1000 AD Page 17 Unit 6 - Late Middle Ages: 1000 to 1500 AD Page 21 Copyright © 1998-2011 Michael G. -
Readings in Late Antiquity
READINGS IN LATE ANTIQUITY “This is a wonderful anthology. Clear, accessible, and vividly engaging, it presents the panoply of Late Antique life from east to west, from city to village, from the powerful to the humble, from transcendent hopes to ordinary burdens – a world to explore, relish, and ponder.” Susan Ashbrook Harvey, Brown University “Unusually comprehensive and enterprising in its selections, this sourcebook will give an entire new generation a choice and a challenge.” Peter Brown, Princeton University Late Antiquity (c. 250–650) witnessed the transition from Classical Antiquity to the Middle Ages in the Mediterranean and Near Eastern worlds. Christianity displaced polytheism over a wide area, offering new definitions of identity and community. The Roman Empire collapsed in western Europe to be replaced by new Germanic kingdoms. In the East, Byzantium emerged, while the Persian Empire reached its apogee and collapsed. Arab armies carrying the banner of Islam reshaped the political map and brought the Late Antique era to a close. This sourcebook illustrates the dramatic political, social and religious trans- formations of Late Antiquity through the words of the men and women who experi- enced them. Drawing from Greek, Latin, Syriac, Hebrew, Coptic, Persian, Arabic, and Armenian sources, the carefully chosen passages illuminate the lives of emperors, abbesses, aristocrats, slaves, children, barbarian chieftains, and saints. The Roman Empire is kept at the centre of the discussion, with chapters devoted to its government, cities, army, law, medicine, domestic life, philosophy, and its Jewish population. Further chapters deal with the peoples who surrounded the Roman state: Persians, Huns, northern barbarians, and the followers of Islam. -
Monumental Tombs of Ancient Alexandria
P1: ILM/IKJ P2: ILM/SPH QC: ILM CB427-Venit-FM CB427-Venit April 10, 2002 13:36 Char Count= 0 MONUMENTAL TOMBS OF ANCIENT ALEXANDRIA The Theater of the Dead marjorie susan venit University of Maryland iii P1: ILM/IKJ P2: ILM/SPH QC: ILM CB427-Venit-FM CB427-Venit April 10, 2002 13:36 Char Count= 0 published by the press syndicate of the university of cambridge The Pitt Building, Trumpington Street, Cambridge, United Kingdom cambridge university press The Edinburgh Building, Cambridge cb2 2ru,UK 40 West 20th Street, New York, ny 10011-4211,USA 477 Williamstown Road, Port Melbourne, vic 3207, Australia Ruiz de Alarcon´ 13, 28014 Madrid, Spain Dock House, The Waterfront, Cape Town 8001, South Africa http: // www.cambridge.org C Marjorie Susan Venit 2002 This book is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published 2002 Printed in the United Kingdom at the University Press, Cambridge Typeface Sabon 10/13 pt. System LATEX2ε [tb] A catalog record for this book is available from the British Library. Library of Congress Cataloging in Publication Data Venit, Marjorie Susan. Monumental tombs of ancient Alexandria : the theater of the dead / Marjorie Susan Venit. p. cm. isbn 0-521-80659-3 1. Tombs – Egypt – Alexandria. 2. Alexandria (Egypt) – Antiquities. 3. Alexandria (Egypt) – Social conditions. 4.Art– Egypt – Alexandria. I. Title. dt73.a4 v47 2002 932 – dc21 2001037994 -
Citations in Classics and Ancient History
Citations in Classics and Ancient History The most common style in use in the field of Classical Studies is the author-date style, also known as Chicago 2, but MLA is also quite common and perfectly acceptable. Quick guides for each of MLA and Chicago 2 are readily available as PDF downloads. The Chicago Manual of Style Online offers a guide on their web-page: http://www.chicagomanualofstyle.org/tools_citationguide.html The Modern Language Association (MLA) does not, but many educational institutions post an MLA guide for free access. While a specific citation style should be followed carefully, none take into account the specific practices of Classical Studies. They are all (Chicago, MLA and others) perfectly suitable for citing most resources, but should not be followed for citing ancient Greek and Latin primary source material, including primary sources in translation. Citing Primary Sources: Every ancient text has its own unique system for locating content by numbers. For example, Homer's Iliad is divided into 24 Books (what we might now call chapters) and the lines of each Book are numbered from line 1. Herodotus' Histories is divided into nine Books and each of these Books is divided into Chapters and each chapter into line numbers. The purpose of such a system is that the Iliad, or any primary source, can be cited in any language and from any publication and always refer to the same passage. That is why we do not cite Herodotus page 66. Page 66 in what publication, in what edition? Very early in your textbook, Apodexis Historia, a passage from Herodotus is reproduced. -
Pentagons in Medieval Architecture
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Repository of the Academy's Library Építés – Építészettudomány 46 (3–4) 291–318 DOI: 10.1556/096.2018.008 PENTAGONS IN MEDIEVAL ARCHITECTURE KRISZTINA FEHÉR* – BALÁZS HALMOS** – BRIGITTA SZILÁGYI*** *PhD student. Department of History of Architecture and Monument Preservation, BUTE K II. 82, Műegyetem rkp. 3, H-1111 Budapest, Hungary. E-mail: [email protected] **PhD, assistant professor. Department of History of Architecture and Monument Preservation, BUTE K II. 82, Műegyetem rkp. 3, H-1111 Budapest, Hungary. E-mail: [email protected] ***PhD, associate professor. Department of Geometry, BUTE H. II. 22, Egry József u. 1, H-1111 Budapest, Hungary. E-mail: [email protected] Among regular polygons, the pentagon is considered to be barely used in medieval architectural compositions, due to its odd spatial appearance and difficult method of construction. The pentagon, representing the number five has a rich semantic role in Christian symbolism. Even though the proper way of construction was already invented in the Antiquity, there is no evidence of medieval architects having been aware of this knowledge. Contemporary sources only show approximative construction methods. In the Middle Ages the form has been used in architectural elements such as window traceries, towers and apses. As opposed to the general opinion supposing that this polygon has rarely been used, numerous examples bear record that its application can be considered as rather common. Our paper at- tempts to give an overview of the different methods architects could have used for regular pentagon construction during the Middle Ages, and the ways of applying the form. -
Ancient Civilizations
Ancient civilizations Mediterranean EUROPE & MEDITERRANEAN COASTS / ANTALYA TO ATHENS Cruise 8 DAYS /7 NIGHTS ◆ EXTEND YOUR STAY IN A CLUB MED RESORT: Gregolimano CRUISE ON THE CLUB MED 2 Welcome aboard Club Med 2, for a unique experience that provides a gateway to the world. Elegance and comfort are the essence of this magnificent 5-masted sailing ship EUROPE & MEDITERRANEAN COASTS / ANTALYA TO ATHENS Mediterranean Ancient civilizations Cruise ◆ From 29/08/2020 to 05/09/2020 - 8 days / 7 ◆ EXTEND YOUR STAY IN A CLUB MED RESORT: Gnirgehgtsolimano Your cruise Days Stages Arrival Departure Nautical Hall 1. Saturday ANTALYA .. 20:00 CLOSED 2. Sunday PAPHOS 12:00 19:00 CLOSED 3. Monday ALEXANDRIA 13:00 CLOSED 4. Tuesday ALEXANDRIA .. 21:00 CLOSED 5. Wednesday RHODES 21:00 CLOSED 6. Thursday RHODES .. 19:00 CLOSED 7. Friday SANTORINI 08:00 19:00 CLOSED 8. Saturday ATHENS 08:00 CLOSED Day 1 : Boarding from 16h to 19h Day 8 : Landing from 9h to 11h Date of publication: 10/03/2020 The information contained in this document is valid on this date, and is subject to change. For full, up-to-date information, contact your travel agent or the Club Med website. The images are non contractual, and serve only as an indication. 2 EUROPE & MEDITERRANEAN COASTS / ANTALYA TO ATHENS Mediterranean Ancient civilizations Cruise ◆ From 29/08/2020 to 05/09/2020 - 8 days / 7 ◆ EXTEND YOUR STAY IN A CLUB MED RESORT: Gnirgehgtsolimano Itinerary of your cruise Nicknamed the "Turkish Riviera", this seaside resort, which is the most popular in the country, is home to an old city which contains fine Day 1 - Saturday Antalya examples of local architecture, beautifully carved woodwork, mosques, etc. -
From Ancient Greece to Byzantium
Proceedings of the European Control Conference 2007 TuA07.4 Kos, Greece, July 2-5, 2007 Technology and Autonomous Mechanisms in the Mediterranean: From Ancient Greece to Byzantium K. P. Valavanis, G. J. Vachtsevanos, P. J. Antsaklis Abstract – The paper aims at presenting each period are then provided followed by technology and automation advances in the accomplishments in automatic control and the ancient Greek World, offering evidence that transition from the ancient Greek world to the Greco- feedback control as a discipline dates back more Roman era and the Byzantium. than twenty five centuries. II. CHRONOLOGICAL MAP OF SCIENCE & TECHNOLOGY I. INTRODUCTION It is worth noting that there was an initial phase of The paper objective is to present historical evidence imported influences in the development of ancient of achievements in science, technology and the Greek technology that reached the Greek states from making of automation in the ancient Greek world until the East (Persia, Babylon and Mesopotamia) and th the era of Byzantium and that the main driving force practiced by the Greeks up until the 6 century B.C. It behind Greek science [16] - [18] has been curiosity and was at the time of Thales of Miletus (circa 585 B.C.), desire for knowledge followed by the study of nature. when a very significant change occurred. A new and When focusing on the discipline of feedback control, exclusively Greek activity began to dominate any James Watt’s Flyball Governor (1769) may be inherited technology, called science. In subsequent considered as one of the earliest feedback control centuries, technology itself became more productive, devices of the modern era. -
Mints – MISR NATIONAL TRANSPORT STUDY
No. TRANSPORT PLANNING AUTHORITY MINISTRY OF TRANSPORT THE ARAB REPUBLIC OF EGYPT MiNTS – MISR NATIONAL TRANSPORT STUDY THE COMPREHENSIVE STUDY ON THE MASTER PLAN FOR NATIONWIDE TRANSPORT SYSTEM IN THE ARAB REPUBLIC OF EGYPT FINAL REPORT TECHNICAL REPORT 11 TRANSPORT SURVEY FINDINGS March 2012 JAPAN INTERNATIONAL COOPERATION AGENCY ORIENTAL CONSULTANTS CO., LTD. ALMEC CORPORATION EID KATAHIRA & ENGINEERS INTERNATIONAL JR - 12 039 No. TRANSPORT PLANNING AUTHORITY MINISTRY OF TRANSPORT THE ARAB REPUBLIC OF EGYPT MiNTS – MISR NATIONAL TRANSPORT STUDY THE COMPREHENSIVE STUDY ON THE MASTER PLAN FOR NATIONWIDE TRANSPORT SYSTEM IN THE ARAB REPUBLIC OF EGYPT FINAL REPORT TECHNICAL REPORT 11 TRANSPORT SURVEY FINDINGS March 2012 JAPAN INTERNATIONAL COOPERATION AGENCY ORIENTAL CONSULTANTS CO., LTD. ALMEC CORPORATION EID KATAHIRA & ENGINEERS INTERNATIONAL JR - 12 039 USD1.00 = EGP5.96 USD1.00 = JPY77.91 (Exchange rate of January 2012) MiNTS: Misr National Transport Study Technical Report 11 TABLE OF CONTENTS Item Page CHAPTER 1: INTRODUCTION..........................................................................................................................1-1 1.1 BACKGROUND...................................................................................................................................1-1 1.2 THE MINTS FRAMEWORK ................................................................................................................1-1 1.2.1 Study Scope and Objectives .........................................................................................................1-1 -
Cambridge University Press 978-1-108-48147-2 — Scale, Space and Canon in Ancient Literary Culture Reviel Netz Index More Information
Cambridge University Press 978-1-108-48147-2 — Scale, Space and Canon in Ancient Literary Culture Reviel Netz Index More Information Index Aaker, Jennifer, 110, 111 competition, 173 Abdera, 242, 310, 314, 315, 317 longevity, 179 Abel, N. H., 185 Oresteia, 197, 200, 201 Academos, 189, 323, 324, 325, 337 papyri, 15 Academy, 322, 325, 326, 329, 337, 343, 385, 391, Persians, 183 399, 404, 427, 434, 448, 476, 477–8, 512 portraits, 64 Achilles Tatius, 53, 116, 137, 551 Ptolemaic era, 39 papyri, 16, 23 Aeschylus (astronomer), 249 Acta Alexandrinorum, 87, 604 Aesop, 52, 68, 100, 116, 165 adespota, 55, 79, 81–5, 86, 88, 91, 99, 125, 192, 194, in education, 42 196, 206, 411, 413, 542, 574 papyri, 16, 23 Adkin, Neil, 782 Aethiopia, 354 Adrastus, 483 Aetia, 277 Adrastus (mathematician), 249 Africa, 266 Adrianople, 798 Agatharchides, 471 Aedesius (martyr), 734, 736 Agathocles (historian), 243 Aegae, 479, 520 Agathocles (peripatetic), 483 Aegean, 338–43 Agathon, 280 Aegina, 265 Agias (historian), 373 Aelianus (Platonist), 484 agrimensores, 675 Aelius Aristides, 133, 657, 709 Ai Khanoum, 411 papyri, 16 Akhmatova, Anna, 186 Aelius Herodian (grammarian), 713 Albertus Magnus, 407 Aelius Promotus, 583 Albinus, 484 Aenesidemus, 478–9, 519, 520 Alcaeus, 49, 59, 61–2, 70, 116, 150, 162, 214, 246, Aeolia, 479 see also Aeolian Aeolian, 246 papyri, 15, 23 Aeschines, 39, 59, 60, 64, 93, 94, 123, 161, 166, 174, portraits, 65, 67 184, 211, 213, 216, 230, 232, 331 Alcidamas, 549 commentaries, 75 papyri, 16 Ctesiphon, 21 Alcinous, 484 False Legation, 22 Alcmaeon, 310 -
A Short History of Egypt – to About 1970
A Short History of Egypt – to about 1970 Foreword................................................................................................... 2 Chapter 1. Pre-Dynastic Times : Upper and Lower Egypt: The Unification. .. 3 Chapter 2. Chronology of the First Twelve Dynasties. ............................... 5 Chapter 3. The First and Second Dynasties (Archaic Egypt) ....................... 6 Chapter 4. The Third to the Sixth Dynasties (The Old Kingdom): The "Pyramid Age"..................................................................... 8 Chapter 5. The First Intermediate Period (Seventh to Tenth Dynasties)......10 Chapter 6. The Eleventh and Twelfth Dynasties (The Middle Kingdom).......11 Chapter 7. The Second Intermediate Period (about I780-1561 B.C.): The Hyksos. .............................................................................12 Chapter 8. The "New Kingdom" or "Empire" : Eighteenth to Twentieth Dynasties (c.1567-1085 B.C.)...............................................13 Chapter 9. The Decline of the Empire. ...................................................15 Chapter 10. Persian Rule (525-332 B.C.): Conquest by Alexander the Great. 17 Chapter 11. The Early Ptolemies: Alexandria. ...........................................18 Chapter 12. The Later Ptolemies: The Advent of Rome. .............................20 Chapter 13. Cleopatra...........................................................................21 Chapter 14. Egypt under the Roman, and then Byzantine, Empire: Christianity: The Coptic Church.............................................23 -
Conversations on Rethinking Human Development
Conversations on Rethinking Human Development A global dialogue on human development in today’s world Conversations on Rethinking Human Development is produced by the International Science Council, as part of a joint initiative by the International Science Council and the United Nations Development Programme. The designations employed and the presentation of material throughout this publication do not imply the expression of any opinion whatsoever on the part of the ISC or the UNDP concerning the legal status of any country, territory, city or area or of its authorities, or concerning the delimitation of its frontiers or boundaries. The Conversations on Rethinking Human Development project team is responsible for the overall presentation. Each author is responsible for the facts contained in his/her article or interview, and the opinions expressed therein, which are not necessarily those of the ISC or the UNDP and do not commit these organizations. Suggested citation: International Science Council. 2020. Conversations on Rethinking Human Development, International Science Council, Paris. DOI: 10.24948/2020.09 ISBN: 978-92-9027-800-9 Work with the ISC to advance science as a global public good. Connect with us at: www.council.science [email protected] International Science Council 5 rue Auguste Vacquerie 75116 Paris France www.twitter.com/ISC www.facebook.com/InternationalScience www.instagram.com/council.science www.linkedin.com/company/international-science-council Graphic design: Mr. Clinton Conversations on Rethinking Human Development A global dialogue on human development in today’s world FOREWORD ISC The human development approach that Article 27 of the Universal Declaration of changed the way decision-makers around Human Rights includes the right of everyone the world think about human progress was to share in scientific advancement and its developed through the work of prominent benefits.