Amazing Astronomers of Antiquity
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COPYRIGHT NOTICE: for COURSE PACK and Other PERMISSIONS
COPYRIGHT NOTICE: Jean-Louis and Monique Tassoul: A Concise History of Solar and Stellar Physics is published by Princeton University Press and copyrighted, © 2004, by Princeton University Press. All rights reserved. No part of this book may be reproduced in any form by any electronic or mechanical means (including photocopying, recording, or information storage and retrieval) without permission in writing from the publisher, except for reading and browsing via the World Wide Web. Users are not permitted to mount this file on any network servers. For COURSE PACK and other PERMISSIONS, refer to entry on previous page. For more information, send e-mail to [email protected] Chapter One The Age of Myths and Speculations And God said, Let there be light, and there was light. —Genesis 1:3 For thousands of years men have looked up into the star-filled night sky and have wondered about the nature of the “fixed” stars as opposed to that of the five planets wandering among the constellations of the zodiac. The daily course of the sun, its brilliance and heat, and the passing of the seasons are among the central problems that have concerned every human society. Undoubtedly, the appearance of a comet or a shooting star, the passing phenomena of clouds and rain and lightning, the Milky Way, the changing phases of the moon and the eclipses—all of these must have caused quite a sense of wonder and been the source of endless discussions. Faced with this confusing multiplicity of brute facts, beyond their physical power to control, our ancestors sought to master these unrelated phenomena symbolically by picturing the universe in terms of objects familiar to them so as to make clear the unfamiliar and the unexplained. -
Great Inventors of the Ancient World Preliminary Syllabus & Course Outline
CLA 46 Dr. Patrick Hunt Spring Quarter 2014 Stanford Continuing Studies http://www.patrickhunt.net Great Inventors Of the Ancient World Preliminary Syllabus & Course Outline A Note from the Instructor: Homo faber is a Latin description of humans as makers. Human technology has been a long process of adapting to circumstances with ingenuity, and while there has been gradual progress, sometimes technology takes a downturn when literacy and numeracy are lost over time or when humans forget how to maintain or make things work due to cataclysmic change. Reconstructing ancient technology is at times a reminder that progress is not always guaranteed, as when Classical civilization crumbled in the West, but the history of technology is a fascinating one. Global revolutions in technology occur in cycles, often when necessity pushes great minds to innovate or adapt existing tools, as happened when humans first started using stone tools and gradually improved them, often incrementally, over tens of thousands of years. In this third course examining the greats of the ancient world, we take a close look at inventions and their inventors (some of whom might be more legendary than actually known), such as vizier Imhotep of early dynastic Egypt, who is said to have built the first pyramid, and King Gudea of Lagash, who is credited with developing the Mesopotamian irrigation canals. Other somewhat better-known figures are Glaucus of Chios, a metallurgist sculptor who possibly invented welding; pioneering astronomer Aristarchus of Samos; engineering genius Archimedes of Siracusa; Hipparchus of Rhodes, who made celestial globes depicting the stars; Ctesibius of Alexandria, who invented hydraulic water organs; and Hero of Alexandria, who made steam engines. -
15 Famous Greek Mathematicians and Their Contributions 1. Euclid
15 Famous Greek Mathematicians and Their Contributions 1. Euclid He was also known as Euclid of Alexandria and referred as the father of geometry deduced the Euclidean geometry. The name has it all, which in Greek means “renowned, glorious”. He worked his entire life in the field of mathematics and made revolutionary contributions to geometry. 2. Pythagoras The famous ‘Pythagoras theorem’, yes the same one we have struggled through in our childhood during our challenging math classes. This genius achieved in his contributions in mathematics and become the father of the theorem of Pythagoras. Born is Samos, Greece and fled off to Egypt and maybe India. This great mathematician is most prominently known for, what else but, for his Pythagoras theorem. 3. Archimedes Archimedes is yet another great talent from the land of the Greek. He thrived for gaining knowledge in mathematical education and made various contributions. He is best known for antiquity and the invention of compound pulleys and screw pump. 4. Thales of Miletus He was the first individual to whom a mathematical discovery was attributed. He’s best known for his work in calculating the heights of pyramids and the distance of the ships from the shore using geometry. 5. Aristotle Aristotle had a diverse knowledge over various areas including mathematics, geology, physics, metaphysics, biology, medicine and psychology. He was a pupil of Plato therefore it’s not a surprise that he had a vast knowledge and made contributions towards Platonism. Tutored Alexander the Great and established a library which aided in the production of hundreds of books. -
The Baader Planetarium
1 THE BAADER PLANETARIUM INSTRUCTION MANUAL BAADER PLANETARIUM Zur Sternwarte M 82291 Mammendorf M Tel. 08145/8802 M Fax 08145/8805 www.baader-planetarium.de M [email protected] M www.celestron-deutschland.de 2 HINTS/TECHNICAL 1. YOUR PLANETARIUM OPERATES BY A DC MINIATUR MOTOR. IT'S LIFETIME IS THEREFORE LIMITED. PLEASE HAVE THE MOTOR USUALLY RUN IN THE SLOWEST SPEED POSSIBLE. FOR EXHIBITIONS OR PERMANENT DISPLAY A TIME LIMIT SWITCH IS A MUST. 2. DON'T HAVE THE SUNBULB WORKING IN THE HIGHEST STEP CONTINUOUSLY. THIS STEP IS FORSEEN ONLY FOR PROJECTING THE HEAVENS IF THE PLASTIC SUNCAP IS REMOVED. 3. CLOSE THE SPHERE AT ANY TIME POSSIBLE. HINTS/THEORETICAL 1. ESPECIALLY GIVE ATTENTION TO PAGE 5-3.F OF THE MANUAL. 2. CLOSE THE SPHERE SO THAT THE ORBIT LINES OF THE PLANETS INSIDE FIT CORRECTLY PAGE 6-5.A. 3. USUALLY DEMONSTRATE BY KEEPING THE EARTH'S ORBIT HORIZONTAL. 4. A SPECIAL EXPLANTATION FOR THE SEASONS IS POSSIBLE IF YOU TURN THE SPHERE TO A HORIZONTAL CELESTIAL EQUATOR. NOW THE EARTH MOVES UP AND DOWN ON ITS WAY AROUND THE SUN. MENTION THE APPEARING LIGHTPHASES. 5. REMEMBER THE GREATEST FINDING OF COPERNICUS: THE DISTANCE EARTH - SUN IS NEARLY ZERO COMPARED TO THE DISTANCE OF THE FIXED STARS. IN REALITY THE WHOLE SOLAR SYSTEM IN THE CELESTIAL SPHERE WOULD BE A PINPOINT IN THE CENTER. THIS HELPS TO UNDERSTAND THE MINUTE STELLAR PARALLAXE AND THE "FIXED" POSITION OF THE STARS COMPARED TO THE SUN'S CHANGING HEIGHT OVER THE HORIZON DURING THE YEAR. 3 INTRODUCTION For countless centuries the stars have been objects of mystery. -
The Magic of the Atwood Sphere
The magic of the Atwood Sphere Exactly a century ago, on June Dr. Jean-Michel Faidit 5, 1913, a “celestial sphere demon- Astronomical Society of France stration” by Professor Wallace W. Montpellier, France Atwood thrilled the populace of [email protected] Chicago. This machine, built to ac- commodate a dozen spectators, took up a concept popular in the eigh- teenth century: that of turning stel- lariums. The impact was consider- able. It sparked the genesis of modern planetariums, leading 10 years lat- er to an invention by Bauersfeld, engineer of the Zeiss Company, the Deutsche Museum in Munich. Since ancient times, mankind has sought to represent the sky and the stars. Two trends emerged. First, stars and constellations were easy, especially drawn on maps or globes. This was the case, for example, in Egypt with the Zodiac of Dendera or in the Greco-Ro- man world with the statue of Atlas support- ing the sky, like that of the Farnese Atlas at the National Archaeological Museum of Na- ples. But things were more complicated when it came to include the sun, moon, planets, and their apparent motions. Ingenious mecha- nisms were developed early as the Antiky- thera mechanism, found at the bottom of the Aegean Sea in 1900 and currently an exhibi- tion until July at the Conservatoire National des Arts et Métiers in Paris. During two millennia, the human mind and ingenuity worked constantly develop- ing and combining these two approaches us- ing a variety of media: astrolabes, quadrants, armillary spheres, astronomical clocks, co- pernican orreries and celestial globes, cul- minating with the famous Coronelli globes offered to Louis XIV. -
Models for Earth and Maps
Earth Models and Maps James R. Clynch, Naval Postgraduate School, 2002 I. Earth Models Maps are just a model of the world, or a small part of it. This is true if the model is a globe of the entire world, a paper chart of a harbor or a digital database of streets in San Francisco. A model of the earth is needed to convert measurements made on the curved earth to maps or databases. Each model has advantages and disadvantages. Each is usually in error at some level of accuracy. Some of these error are due to the nature of the model, not the measurements used to make the model. Three are three common models of the earth, the spherical (or globe) model, the ellipsoidal model, and the real earth model. The spherical model is the form encountered in elementary discussions. It is quite good for some approximations. The world is approximately a sphere. The sphere is the shape that minimizes the potential energy of the gravitational attraction of all the little mass elements for each other. The direction of gravity is toward the center of the earth. This is how we define down. It is the direction that a string takes when a weight is at one end - that is a plumb bob. A spirit level will define the horizontal which is perpendicular to up-down. The ellipsoidal model is a better representation of the earth because the earth rotates. This generates other forces on the mass elements and distorts the shape. The minimum energy form is now an ellipse rotated about the polar axis. -
Exploring the Reasons for the Seasons Using Google Earth, 3D Models, and Plots
International Journal of Digital Earth ISSN: 1753-8947 (Print) 1753-8955 (Online) Journal homepage: http://www.tandfonline.com/loi/tjde20 Exploring the reasons for the seasons using Google Earth, 3D models, and plots Declan G. De Paor, Mladen M. Dordevic, Paul Karabinos, Stephen Burgin, Filis Coba & Steven J. Whitmeyer To cite this article: Declan G. De Paor, Mladen M. Dordevic, Paul Karabinos, Stephen Burgin, Filis Coba & Steven J. Whitmeyer (2016): Exploring the reasons for the seasons using Google Earth, 3D models, and plots, International Journal of Digital Earth, DOI: 10.1080/17538947.2016.1239770 To link to this article: http://dx.doi.org/10.1080/17538947.2016.1239770 © 2016 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group Published online: 21 Oct 2016. Submit your article to this journal View related articles View Crossmark data Full Terms & Conditions of access and use can be found at http://www.tandfonline.com/action/journalInformation?journalCode=tjde20 Download by: [141.105.107.244] Date: 21 October 2016, At: 09:31 INTERNATIONAL JOURNAL OF DIGITAL EARTH, 2016 http://dx.doi.org/10.1080/17538947.2016.1239770 Exploring the reasons for the seasons using Google Earth, 3D models, and plots Declan G. De Paora , Mladen M. Dordevicb , Paul Karabinosc , Stephen Burgind , Filis Cobae and Steven J. Whitmeyerb aDepartments of Physics and Ocean, Earth, and Atmospheric Sciences, Old Dominion University, Norfolk, VA, USA; bDepartment of Geology and Environmental Science, James Madison University, Harrisonburg, VA, USA; cDepartment of Geosciences, Williams College, Williamstown, MA, USA; dDepartment of Curriculum and Instruction, University of Arkansas, Fayetteville, AR, USA; eDepartment of Physics, Old Dominion University, Norfolk, VA, USA ABSTRACT ARTICLE HISTORY Public understanding of climate and climate change is of broad societal Received 7 May 2016 importance. -
The Chandelier Model by Richard Thompson on April 27Th, 1976
September 2008 The Chandelier Model by Richard Thompson On April 27th, 1976, Srila Prabhupada wrote a letter to Svarupa Damodara Das discussing the universe as described in the 5th Canto of the Srimad Bhagavatam. He asked his disciples with Ph.D’s to study the 5th Canto with the aim of making a model of the universe for a Vedic Planetarium. In this essay I will outline how such a model could be designed. This model has been called the “chandelier model” since it hangs down from a point of suspension situated on the ceiling above it. Srila Prabhupada said, “My final decision is that the universe is just like a tree, with root upwards. Just as a tree has branches and leaves so the universe is also composed of planets which are fixed up in the tree like the leaves, flowers, fruits, etc. of the tree. The pivot is the pole star, and the whole tree is rotating on this pivot. Mount Sumeru is the center, trunk, and is like a steep hill... The tree is turning and therefore, all the branches and leaves turn with the tree. The planets have their fixed orbits, but still they are turning with the turning of the great tree. There are pathways leading from one planet to another made of gold, copper, etc., and these are like the branches. Distances are also described in the 5th Canto just how far one planet is from another. We can see that at night, how the whole planetary system is turning around, the pole star being the pivot. -
Claudius Ptolemy: Astronomy and Cosmography Johann Stöffler And
Issue 12 I 2012 MUSEUM of the BROADSHEET communicates the work of the HISTORY Museum of the History of Science, Oxford. of Available at www.mhs.ox.ac.uk, sold in the SCIENCE museum shop, and distributed to members Books, Globes and Instruments in the Exhibition of the Museum. 1. Claudius Ptolemy, Almagest (Venice, 1515) 2. Johann Stöffler, Elucidatio fabricae ususque astrolabii (Oppenheim, 1513) Broad Sheet is produced by the Museum of the History of Science, Broad Street, Oxford OX1 3AZ 3. Paper astrolabe by Peter Jordan, Mainz, 1535, included in his edition of Stöffler’s Elucidatio Tel +44(0)1865 277280 Fax +44(0)1865 277288 Web: www.mhs.ox.ac.uk Email: [email protected] 4. Armillary sphere by Carlo Plato, 1588, Rome, MHS inventory no. 45453 5. Celestial globe by Johann Schöner, c.1534 6. Johann Schöner, Globi stelliferi, sive sphaerae stellarum fixarum usus et explicationes (Nuremberg, 1533) 7. Johann Schöner, Tabulae astronomicae (Nuremberg, 1536) 8. Johann Schöner, Opera mathematica (Nuremberg, 1561) THE 9. Astrolabe by Georg Hartmann, Nuremberg, 1527, MHS inventory no. 38642 10. Astrolabe by Johann Wagner, Nuremberg, 1538, MHS inventory no. 40443 11. Astrolabe by Georg Hartmann (wood and paper), Nuremberg, 1542, MHS inventory no. 49296 12. Diptych dial by Georg Hartmann, Nuremberg, 1562, MHS inventory no. 81528 enaissance 13. Lower leaf of a diptych dial with city view of Nuremberg, by Johann Gebhart, Nuremberg, c.1550, MHS inventory no. 58226 14. Peter Apian, Astronomicum Caesareum (Ingolstadt, 1540) R 15. Nicolaus Copernicus, De revolutionibus orbium cœlestium (Nuremberg, 1543) 16. Georg Joachim Rheticus, Narratio prima (Basel, 1566), printed with the second edition of Copernicus, De revolutionibus inAstronomy 17. -
Which Is Better, a Map Or a Globe?
NEW YORK STATE SOCIAL STUDIES RESOURCE TOOLKIT Kindergarten Maps and Globes Inquiry Which Is Better, a Map or a Globe? Image courtesy of A. Bezdek, J. Sebera, “MATLAB Script for 3D Visualizing Geodata on a Rotating Globe.” Computers & Geosciences 56 (2013): 127–130. http://dx.doi.org/10.1016/j.cageo.2013.03.007. Supporting Questions 1. What is a map? 2. What is a globe? 3. What is the difference between a map and a globe? 4. How would you decide to use a map or a globe? THIS WORK IS LICENSED UNDER A CREATIVE COMMONS ATTRIBUTION- NONCOMMERCIAL- SHAREALIKE 4.0 INTERNATIONAL LICENSE. 1 NEW YORK STATE SOCIAL STUDIES RESOURCE TOOLKIT Kindergarten Maps and Globes Inquiry Which Is Better, a Map or a Globe? New York State Social K.6: Maps and globes are representations of Earth’s surface that are used to locate and better Studies Framework Key understand places and regions. Idea & Practices Gathering, Interpreting, and Using Evidence Comparison and Contextualization Geographic Reasoning Pose a question to the class about location, such as “How would we find the post office?” or “How Staging the Question would we figure out the best way to get to the grocery store?” Record students’ ideas on a class chart. Supporting Question 1 Supporting Question 2 Supporting Question 3 Supporting Question 4 Understand Understand Assess Assess What is a map? What is a globe? What is the difference How would you decide to between a map and a use a map or a globe? globe? Formative Formative Formative Formative Performance Task Performance Task Performance Task Performance Task Complete the first side of a Complete the second side Complete a class Venn Complete a sentence starter class chart defining a map of a class chart defining a diagram identifying the with illustrations: “I would and listing its features. -
From the Old Ages to Mercator
14 The World Image in Maps – From the Old Ages to Mercator Mirjanka Lechthaler Institute of Geoinformation and Cartography Vienna University of Technology, Austria Abstract Studying the Australian aborigines’ ‘dreamtime’ maps or engravings from Dutch cartographers of the 16 th century, one can lose oneself in their beauty. Casually, cartography is a kind of art. Visualization techniques, precision and compliance with reality are of main interest. The centuries of great expeditions led to today’s view and mapping of the world. This chapter gives an overview on the milestones in the history of cartography, from the old ages to Mercator’s map collections. Each map presented is a work of art, which acts as a substitute for its era, allowing us to re-live the circumstances at that time. 14.1 Introduction Long before people were able to write, maps have been used to visualise reality or fantasy. Their content in \ uenced how people saw the world. From studying maps conclusions can be drawn about how visualized regions are experienced, imagined, or meant to be perceived. Often this is in \ uenced by social and political objectives. Cartography is an essential instrument in mapping and therefore preserving cultural heritage. Map contents are expressed by means of graphical language. Only techniques changed – from cuneiform writing to modern digital techniques. From the begin- nings of cartography until now, this language remained similar: clearly perceptible graphics that represented real world objects. The chapter features the brief and concise history of the appearance and develop- ment of topographic representations from Mercator’s time (1512–1594), which was an important period for the development of cartography. -
Activity 2 Using Different Models of Earth Using Different Models of Earth
Activity 2 Using Different Models of Earth Using Different Models of Earth Category Materials Geography, Science Scissors, Glue or Tape, String, Globe Map of the World Copies of a Two Dimensional Map Real World (Flat) - Icosahedron Pattern - to Construct Connection a Model of Earth Commerce, (Included) Transportation Optional: String to Suspend Model of Earth Problem Question How do the shapes, sizes, and distances of land masses appear to be different on two different models of Earth? (An icosahedron and a flat map) Prior Knowledge Conclusion What I Know What I Learned Based on your prior knowledge, answer the Answer the problem question after completing the problem question to the best of your ability. activity. Include an example in your answer. The POET Program 2-1 National Oceanic and Atmospheric Administration Activity 2 Using Different Models of Earth FYI An icosahedron is a three dimensional figure with the maximum number of faces that can be cut out and assembled into a spherical shape from a flat piece of paper. Background Using a globe map of the world and a piece of string, find the shortest distance between New York, New York and Paris, France. You can accomplish this by stretching the string tightly between these two cities (points) on the globe. The resulting route is called a Great Circle. It is the shortest possible route on the surface of a sphere. For Thought Which route would save fuel for airlines flying between these two major cities – a circle route or a flat map route? Miller Projection World Map Procedure - Part 1 1.