European Longitude Prizes. Iv. Thomas Axe's Impossible Terms
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Mathematics Is a Gentleman's Art: Analysis and Synthesis in American College Geometry Teaching, 1790-1840 Amy K
Iowa State University Capstones, Theses and Retrospective Theses and Dissertations Dissertations 2000 Mathematics is a gentleman's art: Analysis and synthesis in American college geometry teaching, 1790-1840 Amy K. Ackerberg-Hastings Iowa State University Follow this and additional works at: https://lib.dr.iastate.edu/rtd Part of the Higher Education and Teaching Commons, History of Science, Technology, and Medicine Commons, and the Science and Mathematics Education Commons Recommended Citation Ackerberg-Hastings, Amy K., "Mathematics is a gentleman's art: Analysis and synthesis in American college geometry teaching, 1790-1840 " (2000). Retrospective Theses and Dissertations. 12669. https://lib.dr.iastate.edu/rtd/12669 This Dissertation is brought to you for free and open access by the Iowa State University Capstones, Theses and Dissertations at Iowa State University Digital Repository. It has been accepted for inclusion in Retrospective Theses and Dissertations by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. INFORMATION TO USERS This manuscript has been reproduced from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from any type of computer printer. The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margwis, and improper alignment can adversely affect reproduction. in the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. -
FROM LONGITUDE to ALTITUDE: INDUCEMENT PRIZE CONTESTS AS INSTRUMENTS of PUBLIC POLICY in SCIENCE and TECHNOLOGY Clayton Stallbau
FROM LONGITUDE TO ALTITUDE: INDUCEMENT PRIZE CONTESTS AS INSTRUMENTS OF PUBLIC POLICY IN SCIENCE AND TECHNOLOGY Clayton Stallbaumer* I. INTRODUCTION On a foggy October night in 1707, a fleet of Royal Navy warships ran aground on the Isles of Scilly, some twenty miles southwest of England.1 Believing themselves to be safely west of any navigational hazards, two thousand sailors discovered too late that they had fatally misjudged their position.2 Although the search for an accurate method to determine longitude had bedeviled Europe for several centuries, the “sudden loss of so many lives, so many ships, and so much honor all at once” elevated the discovery of a solution to a top national priority in England.3 In 1714, Parliament issued the Longitude Act,4 promising as much as £20,0005 for a “Practicable and Useful” method of determining longitude at sea; fifty-nine years later, clockmaker John Harrison claimed the prize.6 Nearly three centuries after the fleet’s tragic demise, another accident, also fatal but far removed from longitude’s terrestrial reach, struck a nation deeply. Just four days after its crew observed a moment’s silence in memory of the Challenger astronauts, the space shuttle Columbia disintegrated upon reentry, killing all on board.7 Although * J.D., University of Illinois College of Law, 2006; M.B.A., University of Illinois College of Business, 2006; B.A., Economics, B.A., History, Lake Forest College, 2001. 1. DAVA SOBEL, LONGITUDE: THE TRUE STORY OF A LONE GENIUS WHO SOLVED THE GREATEST SCIENTIFIC PROBLEM OF HIS TIME 12 (1995). -
QUICK REFERENCE GUIDE Latitude, Longitude and Associated Metadata
QUICK REFERENCE GUIDE Latitude, Longitude and Associated Metadata The Property Profile Form (PPF) requests the property name, address, city, state and zip. From these address fields, ACRES interfaces with Google Maps and extracts the latitude and longitude (lat/long) for the property location. ACRES sets the remaining property geographic information to default values. The data (known collectively as “metadata”) are required by EPA Data Standards. Should an ACRES user need to be update the metadata, the Edit Fields link on the PPF provides the ability to change the information. Before the metadata were populated by ACRES, the data were entered manually. There may still be the need to do so, for example some properties do not have a specific street address (e.g. a rural property located on a state highway) or an ACRES user may have an exact lat/long that is to be used. This Quick Reference Guide covers how to find latitude and longitude, define the metadata, fill out the associated fields in a Property Work Package, and convert latitude and longitude to decimal degree format. This explains how the metadata were determined prior to September 2011 (when the Google Maps interface was added to ACRES). Definitions Below are definitions of the six data elements for latitude and longitude data that are collected in a Property Work Package. The definitions below are based on text from the EPA Data Standard. Latitude: Is the measure of the angular distance on a meridian north or south of the equator. Latitudinal lines run horizontal around the earth in parallel concentric lines from the equator to each of the poles. -
Latitude/Longitude Data Standard
LATITUDE/LONGITUDE DATA STANDARD Standard No.: EX000017.2 January 6, 2006 Approved on January 6, 2006 by the Exchange Network Leadership Council for use on the Environmental Information Exchange Network Approved on January 6, 2006 by the Chief Information Officer of the U. S. Environmental Protection Agency for use within U.S. EPA This consensus standard was developed in collaboration by State, Tribal, and U. S. EPA representatives under the guidance of the Exchange Network Leadership Council and its predecessor organization, the Environmental Data Standards Council. Latitude/Longitude Data Standard Std No.:EX000017.2 Foreword The Environmental Data Standards Council (EDSC) identifies, prioritizes, and pursues the creation of data standards for those areas where information exchange standards will provide the most value in achieving environmental results. The Council involves Tribes and Tribal Nations, state and federal agencies in the development of the standards and then provides the draft materials for general review. Business groups, non- governmental organizations, and other interested parties may then provide input and comment for Council consideration and standard finalization. Standards are available at http://www.epa.gov/datastandards. 1.0 INTRODUCTION The Latitude/Longitude Data Standard is a set of data elements that can be used for recording horizontal and vertical coordinates and associated metadata that define a point on the earth. The latitude/longitude data standard establishes the requirements for documenting latitude and longitude coordinates and related method, accuracy, and description data for all places used in data exchange transaction. Places include facilities, sites, monitoring stations, observation points, and other regulated or tracked features. 1.1 Scope The purpose of the standard is to provide a common set of data elements to specify a point by latitude/longitude. -
Board Voting Monday on Expansion Plan Another Option—Constructing a by Carter J
OF MILLBURN AND SHORT HILLS Founded in 1888 Thursday, June 23, 1994 40 Cents Volume 108, Number 25 Board voting Monday on expansion plan Another option—constructing a By Carter J. Bennett new elementary school in the Oakey tract rather than at Gero The Board of Education has set 4 proposals before Board Education; Park does not appear to have broad Monday night as the time for its support among Board of Education selection of one of four plans members. which will provide for renovation The major difference in the two of existing buildings, additions to costs range from $37.5 million remaining options is that under some schools and the possible con' which was submitted in May. The * room. Also planned for the high increases the total cost of construc Although the property committee one a new elementary school struction of a new elementary original property, committee school would be a new 25,000 tion, the annual impact on tax has presented the board with four would be built in Gero Park school. The costs of the various proposal covered renovation work square foot gymnasium, a 6,000 payers will remain in the same area alternative expansion-renovation coupled with additions to the plans run from $37.5 million to at each of the four existing square foot addition which would as what was foreseen when the plans, statements from board mem Deerfield, Hartshorn and South $53.5 million. elementary schools plus the South provide new facilities for the school board’s property committee bers at this past Monday night’s Mountain Schools as well as the The four plans—or options— Mountain School, additions at school’s music program, the was limiting its proposal to the meeting indicated that two o f the high school. -
Early Maritime Navigation Unit Plan
EARLY MARITIME NAVIGATION UNIT PLAN Compelling How did advances in marine navigation, from the 13th century C.E. through the 18th century Question C.E., help to catapult Western Europe into global preeminence? C3 Historical Thinking Standards – D2.His.1.9-12. Evaluate how historical events and developments were shaped by unique circumstances of time and place as well as broader historical contexts. Standards C3 Historical Thinking Standards – D2.His.2.9-12. and Analyze change and continuity in historical eras. Practices Common Core Content Standards – CCSS.ELA-LITERACY.WHST.9-10.1.B Develop claim(s) and counterclaims fairly, supplying data and evidence for each while pointing out the strengths and limitations of both claim(s) and counterclaims in a discipline-appropriate form and in a manner that anticipates the audience's knowledge level and concerns. Staging the How do advances in marine navigation technology help nations develop and sustain world Question influence? Supporting Supporting Supporting Supporting Question 1 Question 2 Question 3 Question 4 Why has the sea been What is navigation and How does being posed How did STEM confer crucial to the fate of what special challenges with a challenge lead us to advantages to a society’s nations, empires, and does the sea pose to innovation and progress? ability to navigate the civilizations? travelers? world’s oceans? Formative Formative Formative Formative Performance Task 1 Performance Task 2 Performance Task 3 Performance Task 4 1) Look at the planet’s 1) In pairs ask your 1) Compass Lesson Plan 1) Drawing connections to physical geography, partner to draw you a (Lesson is located below the last three questions, all the Print Documents) build an argument that map from school to a view the Longitude video the sea was better at specific location in your Discover how the (07:05 min) connecting cultures town. -
2. Descriptive Astronomy (“Astronomy Without a Telescope”)
2. Descriptive Astronomy (“Astronomy Without a Telescope”) http://apod.nasa.gov/apod/astropix.html • How do we locate stars in the heavens? • What stars are visible from a given location? • Where is the sun in the sky at any given time? • Where are you on the Earth? An “asterism” is two stars that appear To be close in the sky but actually aren’t In 1930 the International Astronomical Union (IAU) ruled the heavens off into 88 legal, precise constellations. (52 N, 36 S) Every star, galaxy, etc., is a member of one of these constellations. Many stars are named according to their constellation and relative brightness (Bayer 1603). Sirius α − Centauri, α-Canis declination less http://calgary.rasc.ca/constellation.htm - list than -53o not Majoris, α-Orionis visible from SC http://www.google.com/sky/ Betelgeuse https://en.wikipedia.org/wiki/List_of_Messier_objects (1758 – 1782) Biggest constellation – Hydra – the female water snake 1303 square degrees, but Ursa Major and Virgo almost as big. Hydrus – the male water snake is much smaller – 2243 square degrees Smallest is Crux – the Southern Cross – 68 square degrees Brief History Some of the current constellations can be traced back to the inhabitants of the Euphrates valley, from whom they were handed down through the Greeks and Arabs. Few pictorial records of the ancient constellation figures have survived, but in the Almagest AD 150, Ptolemy catalogued the positions of 1,022 of the brightest stars both in terms of celestial latitude and longitude, and of their places in 48 constellations. The Ptolemaic constellations left a blank area centered not on the present south pole but on a point which, because of precession, would have been the south pole c. -
GMT and Longitude by Lunar Distance: Two Methods Compared from a Practitioner’S Point of View
THE JOURNAL OF NAVIGATION (2019), 72, 1660–1664. c The Royal Institute of Navigation 2019 doi:10.1017/S0373463319000341 FORUM GMT and Longitude by Lunar Distance: Two Methods Compared From a Practitioner’s Point of View Eric Romelczyk (E-mail: [email protected]) This article discusses the technique of observing lunar distance - that is, angular distance between the moon and another celestial body - to establish universal time and longitude, from a practitioner’s point of view. The article presents a brief overview of the principles underlying the lunar distance observation and its use in celestial navigation. A discussion follows of two different methods for finding universal time by observing lunar distance, Dr. Wendel Brunner’s calculator-based method and the specialised inspection tables created by Bruce Stark. The article compares the two methods against each other for ease of use and accuracy. The author concludes that either method will provide satisfactory results, but that the technique of observing lunar dis- tance is unlikely to regain relevance in the modern-day practice of navigation and is primarily useful as a skill-building exercise in making sextant observations. KEYWORDS 1. Navigation. 2. History. 3. Nautical. 4. Time. Submitted: 8 August 2018. Accepted: 14 April 2019. First published online: 2 May 2019. 1. INTRODUCTION. 1.1. History of the lunar distance method. For centuries of seafaring history, a method for accurately measuring time to the degree of precision necessary to establish the navigator’s longitude was out of reach for practical purposes. It had been understood since the mid-16th century that the navigator’s longitude could be established either by reference to the moon’s angular distance from other celestial bodies - the “lunar distance”, measured by careful sextant observations - or by reference to a timepiece of sufficient accuracy. -
Spherical Coordinate Systems
Spherical Coordinate Systems Exploring Space Through Math Pre-Calculus let's examine the Earth in 3-dimensional space. The Earth is a large spherical object. In order to find a location on the surface, The Global Pos~ioning System grid is used. The Earth is conventionally broken up into 4 parts called hemispheres. The North and South hemispheres are separated by the equator. The East and West hemispheres are separated by the Prime Meridian. The Geographic Coordinate System grid utilizes a series of horizontal and vertical lines. The horizontal lines are called latitude lines. The equator is the center line of latitude. Each line is measured in degrees to the North or South of the equator. Since there are 360 degrees in a circle, each hemisphere is 180 degrees. The vertical lines are called longitude lines. The Prime Meridian is the center line of longitude. Each hemisphere either East or West from the center line is 180 degrees. These lines form a grid or mapping system for the surface of the Earth, This is how latitude and longitude lines are represented on a flat map called a Mercator Projection. Lat~ude , l ong~ude , and elevalion allows us to uniquely identify a location on Earth but, how do we identify the pos~ion of another point or object above Earth's surface relative to that I? NASA uses a spherical Coordinate system called the Topodetic coordinate system. Consider the position of the space shuttle . The first variable used for position is called the azimuth. Azimuth is the horizontal angle Az of the location on the Earth, measured clockwise from a - line pointing due north. -
Cambridge University Press 978-0-521-76518-3 — the Making of the Modern Admiralty C
Cambridge University Press 978-0-521-76518-3 — The Making of the Modern Admiralty C. I. Hamilton Index More Information Index Accountant-General, 60; of the Navy Arbuthnot, Charles, 97–8 (from 1832): 65, 125, 138, 146, Army Staff, 222 189–93, 295 (see also estimates); Arnold-Forster, H. O., 198, 217 staff, 164, 188, 192 Asquith, H. H., 224 administrative board, 31 Assistant Secretary for Finance Duties Admiralty (see also Admiralty Office; (see also Secretariat), 192 Board of Admiralty; Childers, H. C. E.; Aube, H.-L.-T., 172 First and Second (Permanent) Auckland, George Eden, Earl of, 119, 134 Secretaries; Geddes, E.; Goschen, Awdry, Richard, 191, 201, 205 George; Graham, Sir James; ‘mob from the North’; Naval Staff; Navy Bacon, Sir Reginald, (Kt. 1916), 215 Board; Navy Pay Office; Principal Baddeley, Vincent, (Kt. 1921), 205, 206, 259 Officers; Private Office; Victualling Balfour, A. J., 237, 238 Board; Secretariat; Sick and Hurt Ballard, G. A., 222, 223 Office; Sixpenny Office; Transport Bank of England, 28 Office; War Staff): administration/ Barham, Lord, see Middleton, Charles policy divide, 266–7, 275, 279, 288, Barnaby, Nathaniel (Kt. 1885), 136, 162, 307; attacks on, 312; civil–military 173, 194–5 division in (see also Godfrey, John), Barrow, John (cr. baronet, 1835) (see also 68–9, 279, 289, 297–302, 313, 314; Second Secretary): 6, 12, 52, 57, 63; committees, 110–11, 120–3, 186–9, administration and policy of, 41, 51, 215; communications, 176, 220, 64, 68–9, 75, 93, 100–1, 103, 152, 248–50; demobilisation, 274, 276; 163; and Benthamism, 54; and development, 2–3, 23, 234–6; J. -
Memoirs of Hydrography
MEMOIRS 07 HYDROGRAPHY INCLUDING Brief Biographies of the Principal Officers who have Served in H.M. NAVAL SURVEYING SERVICE BETWEEN THE YEARS 1750 and 1885 COMPILED BY COMMANDER L. S. DAWSON, R.N. I 1s t tw o PARTS. P a r t II.—1830 t o 1885. EASTBOURNE: HENRY W. KEAY, THE “ IMPERIAL LIBRARY.” iI i / PREF A CE. N the compilation of Part II. of the Memoirs of Hydrography, the endeavour has been to give the services of the many excellent surveying I officers of the late Indian Navy, equal prominence with those of the Royal Navy. Except in the geographical abridgment, under the heading of “ Progress of Martne Surveys” attached to the Memoirs of the various Hydrographers, the personal services of officers still on the Active List, and employed in the surveying service of the Royal Navy, have not been alluded to ; thereby the lines of official etiquette will not have been over-stepped. L. S. D. January , 1885. CONTENTS OF PART II ♦ CHAPTER I. Beaufort, Progress 1829 to 1854, Fitzroy, Belcher, Graves, Raper, Blackwood, Barrai, Arlett, Frazer, Owen Stanley, J. L. Stokes, Sulivan, Berard, Collinson, Lloyd, Otter, Kellett, La Place, Schubert, Haines,' Nolloth, Brock, Spratt, C. G. Robinson, Sheringham, Williams, Becher, Bate, Church, Powell, E. J. Bedford, Elwon, Ethersey, Carless, G. A. Bedford, James Wood, Wolfe, Balleny, Wilkes, W. Allen, Maury, Miles, Mooney, R. B. Beechey, P. Shortland, Yule, Lord, Burdwood, Dayman, Drury, Barrow, Christopher, John Wood, Harding, Kortright, Johnson, Du Petit Thouars, Lawrance, Klint, W. Smyth, Dunsterville, Cox, F. W. L. Thomas, Biddlecombe, Gordon, Bird Allen, Curtis, Edye, F. -
Bulletin Issue 29 Spring 2018 New Series by Paul Haley Begins in This Issue: 19Th Century Observatories 2018 Sha Spring Conference
BULLETIN ISSUE 29 SPRING 2018 NEW SERIES BY PAUL HALEY BEGINS IN THIS ISSUE: 19TH CENTURY OBSERVATORIES 2018 SHA SPRING CONFERENCE The first talk is at 1015 and the Saturday 21st April 2018 The conference registraon is morning session ends at 1215 Instute of Astronomy, between 0930 and 1000 at which for lunch. The lunch break is University of Cambridge me refreshments are available unl 1330. An on-site lunch Madingley Road, Cambridge in the lecture theatre. The will be available (£5.00) BUT CB3 0HA conference starts at 1000 with a MUST BE PRE-ORDERED. There welcome by the SHA Chairman are no nearby eang places. Bob Bower introduces the There is a break for refreshments Aer the break there is the aernoon session at 1330 then from 1530 to 1600 when Tea/ final talk. The aernoon there are two one-hour talks. Coffee and biscuits will be session will end at 5 p.m. and provided. the conference will then close. 10 00 - 1015 10 15 - 1115 1115 - 1215 SHA Chairman Bob Bower Carolyn Kennett and Brian Sheen Kevin Kilburn Welcomes delegates to Ancient Skies and the Megaliths Forgotten Star Atlas the Instute of of Cornwall Astronomy for the SHA 2018 Archeoastronomy in Cornwall The 18th Century unpublished Spring Conference Past and Present Uranographia Britannica by Dr John Bevis 13 30 - 1430 14 30 - 1530 16 00 – 17 00 Nik Szymanek Kenelm England Jonathan Maxwell The Road to Modern Berkshire Astronomers 5000 BC Some lesser known aspects Astrophotography to AD 2018 regarding the evolution of The pioneering days of Some topics on astronomers and refracting telescopes: from early astrophotographers, observations made from Lippershey's spectacle lens to the up to modern times Berkshire since pre-historic Apochromats times until last week An insight into the development of 2 the refracting telescope In this Issue BOOK SALE AT THE 2017 AGM Digital Bulletin The Digital Bulletin provides extra content and links when viewing the 4 Bulletin as a PDF.