HEDI 66 Euler and the Pirates
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[ 395 ] INDEX TO THE PHILOSOPHICAL TRANSACTIONS, S e r ie s A, V o l . 193. A. Abney (W. de W.). The Colour Sensations in Terms of Luminosity, 259. Atmospheric electricity—experiments in connection with precipitation (Wilson), 289. Bakebian Lectube. See Ewing and Kosenhain. C. Colour-blind, neutral points in spectra found by (Abney), 259. Colour sensations in terms of luminosity (Abney), 259. Condensation nuclei, positively and negatively charged ions as (W ilson), 289. Crystalline aggregates, plasticity in (Ewing and Rosenhain), 353. D. Dawson (H. M.). See Smithells, Dawson, and Wilson VOL. CXCIII.— Ao : S F 396 INDEX. Electric spark, constitution of (Schuster and Hemsalech), 189; potential—variation with pressure (Strutt), 377. Electrical conductivity of flames containing vaporised salts (Smithells, Dawson, and Wilson), 89. Electrocapillary phenomena, relation to potential differences between‘solutions (Smith), 47. Electrometer, capillary, theory of (Smith), 47. Ewing (J. A.) and Rosenhain (W.). The Crystalline Structure of Metals.—Bakerian Lecture, 353. F. Filon (L. N. G ). On the Resistance to Torsion of certain Forms of Shafting, with special Reference to the Effect of Keyways, 309. Flames, electrical conductivity of, and luminosity of salt vapours in (Smithells, Dawson, and Wilson), 89. G. Gravity balance, quartz thread (Threlfall and Pollock), 215. H. Hemsalech (Gustav). See Schuster and Hemsalech. Hertzian oscillator, vibrations in field of (Pearson and Lee), 159. Hysteresis in the relation of extension to stress exhibited by overstrained iron (Muir), 1. I. Ions, diffusion into gases, determination of coefficient (Townsend), 129. Ions positively and negatively charged, as condensation nuclei (Wilson), 289. Iron, recovery of, from overstrain (Muir), 1. -
“I Think I Would Better Satisfy My Desire by Working on an English Book on Artillery” Euler's Work on Ballistics (And
“I think I would better satisfy my desire by working on an English book on artillery” Euler’s work on ballistics (and its precursors) June Barrow-Green The Open University ‘Mathematics in War and Peace’ BSHM and Gresham College 24 October 2018 Aristotle’s theory of projectile motion A shot object (cannon ball) follows a straight line until it loses its impetus at which point it falls straight to the ground. Daniel Santbech Problematum Astronomicorum et Geometricorum Sectiones Septem (1561) Niccolò Fontana (1499–1577) ‘Tartaglia’ (the stammerer) 1512 Wounded by French soldier 1535 Won a mathematics challenge by being able to solve two types of cubic equation 1537 La nova scientia 1543 First Italian edition of Euclid’s Elements 1556-60 Trattato di numeri et misure, 3 vol. “Treatise on Numbers and Measures” La nova scientia (1537) “The mathematical sciences speak: Who wishes to know the various causes of things, learn about us. The way is open to all.” La nova scientia (1537) La nova scientia (1537) Trajectory composed of three segments: Violent motion (i) rectilinear segment (ii) an arc of circumference Natural motion (iii) rectilinear segment turning towards the centre of the Earth. Claimed maximum range is attained when angle of elevation is 45o. Galileo Galilei (1564–1642) The Dialogues of the Two New Sciences (1638) Includes inclined plane experiment to determine the path of a projectile Galileo’s experiment to determine projectile motion Galileo placed an inclined plane on a table and provided it with a curved piece at the bottom which deflected an inked bronze ball into a horizontal direction. -
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[ 229 • ] INDEX TO THE PHILOSOPHICAL TRANSACTIONS, S e r ie s B, FOR THE YEAR 1897 (YOL. 189). B. Bower (F. 0.). Studies in the Morphology of Spore-producing Members.— III. Marattiaceae, 35. C Cheirostrobus, a new Type of Fossil Cone (Scott), 1. E. Enamel, Tubular, in Marsupials and other Animals (Tomes), 107. F. Fossil Plants from Palaeozoic Rocks (Scott), 1, 83. L. Lycopodiaceae; Spencerites, a new Genus of Cones from Coal-measures (Scott), 83. 230 INDEX. M. Marattiaceae, Fossil and Recent, Comparison of Sori of (Bower), 3 Marsupials, Tubular Enamel a Class Character of (Tomes), 107. N. Naqada Race, Variation and Correlation of Skeleton in (Warren), 135 P. Pteridophyta: Cheirostrobus, a Fossil Cone, &c. (Scott), 1. S. Scott (D. H.). On the Structure and Affinities of Fossil Plants from the Palaeozoic Ro ks.—On Cheirostrobus, a new Type of Fossil Cone from the Lower Carboniferous Strata (Calciferous Sandstone Series), 1. Scott (D. H.). On the Structure and Affinities of Fossil Plants from the Palaeozoic Rocks.—II. On Spencerites, a new Genus of Lycopodiaceous Cones from the Coal-measures, founded on the Lepidodendron Spenceri of Williamson, 83. Skeleton, Human, Variation and Correlation of Parts of (Warren), 135. Sorus of JDancea, Kaulfxissia, M arattia, Angiopteris (Bower), 35. Spencerites insignis (Will.) and S. majusculus, n. sp., Lycopodiaceous Cones from Coal-measures (Scott), 83. Sphenophylleae, Affinities with Cheirostrobus, a Fossil Cone (Scott), 1. Spore-producing Members, Morphology of.—III. Marattiaceae (Bower), 35. Stereum lvirsutum, Biology of; destruction of Wood by (Ward), 123. T. Tomes (Charles S.). On the Development of Marsupial and other Tubular Enamels, with Notes upon the Development of Enamels in general, 107. -
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[ 387 ] INDEX TO THE PHILOSOPHICAL TRANSACTIONS, S e r ie s A, V ol. 194. A. Alloys of gold and aluminium (Heycock and Neville), 201. B. Bakerian Lecture (Tilden), 233. C. Chappuis (P.). See Habkeb and Chappuis. Children, association of defects in (Yule), 257. Cole (E. S.). See W obthinoton and Cole. Combinatorial analysis (MacMahon), 361. Conductivity of dilute solutions (W hetham), 321. E. Earthquake motion, propagation to great distances (Oldham), 135. G. Gold-aluminium alloys—melting-point curve (Heycock and Neville), 201. Gbindley (John H.). An Experimental Investigation of the Tliermo-dynamical Properties of Superheated Steam.—On the Cooling of Saturated Steam by Free Expansion, 1. H. Habkeb (J. A.) and Chapptjis (P.). A Comparison of Platinum and Gas Thermometers, including a Determination of the Boiling-point of Sulphur on the Nitrogen Scale, 37. Heycock (C. T.) and Neville (F. H.). Gold-aluminium alloys, 201. VOL. CXCIV.---- A 261. 3 D 2 388 INDEX. T. Impact with a liquid surface (W orthington and Cole), 175. Ionization of solutions at freezing point (W hetham), 321. L. Latin square problem (MacMahon), 361. M. MacMahon (P. A.). Combinatorial Analysis.—The Foundations of a New Theory, 361. Metals, specific heats of—relation to atomic weights (Tilden), 233. N. N eville (F. H.). See H eycock and N eville. O. Oldham (R. D.) On the Propagation of Earthquake Motion to Great Distances, 135. P. Perry (John). Appendix to Prof. Tilden’s Bakerian Lecture—Thermo-dynamics of a Solid, 250. R. Resistance coils—standardization o f; manganin as material for (Harker and Chappuis), 37. S. -
Back Matter (PDF)
INDEX TO THE PHILOSOPHICAL TRANSACTIONS (B) FOE THE YEAE 1894. B. nderia, the action of light on, 961 (see W ard). A-Rlow (W. S. L.) (see Lazarus-B arlow). eevor (C. E.) and H orsley (V.). A Further Minute Analysis by Electric Stimulation of the so-called Motor Region (Facial Area) of the Cortex Cerebri in the Monkey ( sinicus), 39. ower (F. O.). Studies in the Morphology of Spore-producing Members.—Equisetineae and Lycopo- dineae, 473. otce (R.) and S urveyor (N\ F.). Upon the Existence of more than one Fungus in Madura Disease (Mycetoma), 1 . C. lalamites, on, 863 (see W illiamson and S cott). 'alamostachys, on, 863 (see W illiamson and S cott). jarehesiumpolypinum, on the constitution and mode of formation of “ food vacuoles” in Infusoria, as illustrated by the history of the processes of digestion in, 355 (see Greenwood). Cat, the effect produced upon respiration by Faradic excitation of the cerebrum in the, 609 (see Spencer). Cerebellum, experimental researches into the functions of the, 819 (see R ussell). erebellumand its peduncles and related structures in mo, experiments illustrative of the symptoma tology and degenerations following lesions of the, 719 (see F errier and T urner). Cerebrum in the monkey, dog, cat, and rabbit, the effect produced upon respiration by Faradic excitation of the, 609 (see S pencer), m d c c c x c iv .---- B. b Girripedia, on the early development of, 119 (see Groom). Goal-measures, further observations on the organisation of the fossil plants of the.—Part I., 863 / W illiamson and S cott). -
Online Bibliography
GUNPOWDER & GEOMETRY: BIBLIOGRAPHY This bibliography accompanies the printed biography Gunpowder & Geometry: The Life of Charles Hutton, Pit Boy, Mathematician and Scientific Rebel (London, 2019). It lists all the sources explicitly cited there, as well as further manuscript and printed sources used in the course of my research on Charles Hutton. I. ARCHIVAL UK BIRMINGHAM: ARCHIVES, HERITAGE AND PHOTOGRAPHY SERVICE MS 3597/103/1–2. Two printed memoirs of Charles Hutton. 1823. MS 3597/103/3–7. Some publishers’ advertisements of Charles Hutton’s works. MS 3597/103/8. Facsimile autograph of Charles Hutton. 1819. MS 3597/105/1. Genealogical details of the Hutton family, compiled by Mrs Catherine Hutton Beale. 1869. MS 3597/106/16A–J. Specimen letters, examples of handwriting, and other material concerning members of the Hutton family. MS 3597/55. Copies of letters and extracts from letters, written by Catherine Hutton, mainly concerning her visits to London. MS 3597/56, 58. Copies of letters and extracts from letters, written by Catherine Hutton, on miscellaneous subjects. MS 3597/73. Letter, Charles Hutton to Catherine Hutton. 18 October 1819. MS 3597/78/1–7. Miscellaneous notes and papers of Catherine Hutton. CAMBRIDGE: CAMBRIDGE UNIVERSITY LIBRARY MS Add. 7886/117. Letter, Charles Hutton to William Frend. 21 May 1791. NMM PBN4711, copy of Hutton, Tables of the products and powers of numbers (1781) with additional MS errata on initial leaf possibly in Hutton’s hand. REG 9/37: 2. Notebook of accounts of Nevil Maskelyne, including at 83 items relating to Hutton. RGO 4/187/11: 1–2. Letter, Charles Hutton to Nevil Maskelyne. -
Masculinity and Danger on the Eighteenth-Century Grand Tour
Masculinity and Danger on the Eighteenth-Century Grand Tour SARAH GOLDSMITH Masculinity and Danger on the Eighteenth-Century Grand Tour New Historical Perspectives is a book series for early career scholars within the UK and the Republic of Ireland. Books in the series are overseen by an expert editorial board to ensure the highest standards of peer-reviewed scholarship. Commissioning and editing is undertaken by the Royal Historical Society, and the series is published under the imprint of the Institute of Historical Research by the University of London Press. The series is supported by the Economic History Society and the Past and Present Society. Series co-editors: Heather Shore (Manchester Metropolitan University) and Jane Winters (School of Advanced Study, University of London) Founding co-editors: Simon Newman (University of Glasgow) and Penny Summerfield (University of Manchester) New Historical Perspectives Editorial Board Charlotte Alston, Northumbria University David Andress, University of Portsmouth Philip Carter, Institute of Historical Research, University of London Ian Forrest, University of Oxford Leigh Gardner, London School of Economics Tim Harper, University of Cambridge Guy Rowlands, University of St Andrews Alec Ryrie, Durham University Richard Toye, University of Exeter Natalie Zacek, University of Manchester Masculinity and Danger on the Eighteenth-Century Grand Tour Sarah Goldsmith LONDON ROYAL HISTORICAL SOCIETY INSTITUTE OF HISTORICAL RESEARCH UNIVERSITY OF LONDON PRESS Published in 2020 by UNIVERSITY OF LONDON PRESS SCHOOL OF ADVANCED STUDY INSTITUTE OF HISTORICAL RESEARCH Senate House, Malet Street, London WC1E 7HU © Sarah Goldsmith 2020 The author has asserted her right under the Copyright, Designs and Patents Act 1988 to be identified as the author of this work. -
Back Matter (PDF)
INDEX PHILOSOPHICAL TRANSACTIONS (A) FOR THE YEAR 1893. A. Aberration problems, 727 (see Lodge). Abney (W. de W .). Transmission of Sunlight through the Barth’s Atmosphere.—Part II., 1. Air temperature and pressure at British Observatories, harmonic analysis of hourly observations of.— Part I., Temperature, 617 (see Strachey). Anchor ring, the potential of an, 43.—Part II., 1041 (see Dyson). Atmosphere, transmission of sunlight through the earth’s.—Part II., 1 (see Abney). B. Bakerian Lecture.—The Bate of Explosion in Gases, 97 (see D ixon). Bennett (G. T.). On the Residues of Powers of Numbers for any Composite Modulus, Real or Complex, 189. B ottomley (J. T.). On Thermal Radiation in Absolute Measure, 591. C. Copper and iron, the absolute thermal conductivities of, 569 (see Stewart). 1216 INDEX. D. Davison (0.). On the Annual and Semi-Annual Seismic Periods, 1107. Differential covariants of plane curves,on the, and the operators employed in their development, 1171 (see G-wyther). D ixon (H. B.). The Rate of Explosion in Gases.—B akerian Lecture, 97. Dyson (F. W.). The Potential of an Anchor Ring, 43.—Part II., 1041. E. Electrical and mechanical units, the value of the mechanical equivalent of heat, deduced from some experiments performed with the view of establishing the relation between the, 361 (see Griffiths). Electrical resistance of thin liquid films, on the thickness and, 505 (see Reynold and Rucker). Ether near the ,earth a discussion concerning the motion of the, and concerning -the connection between ether and gross matter, 727 (see Lodge). Ewing (J. A.) and Klaassen (H elen G.). -
The Impact of Ballistics on Mathematics
The Impact of Ballistics on Mathematics Shawnee McMurran and V. Frederick Rickey Department of Mathematics California State University San Bernardino 5500 University Parkway San Bernardino, CA 92407-2397 Department of Mathematical Sciences United States Military Academy West Point, NY 10996 October 17, 2008 1 Abstract In the first half of the 18th century, Benjamin Robins, a British mathematician and military engineer, invented the ballistic pendulum. This device allowed for fairly accurate estimates of the muzzle velocities of muskets and other artillery. Through this experimental work he discovered that air resistance should not be neglected. In 1742 he published these results in New Principles of Gunnery, the first book to deal extensively with external ballistics. This book motivated a deeper analysis of projectile motion — a topic tackled by Leonhard Euler and Daniel Bernoulli. Subsequently, Frederick the Great encouraged Euler to translate this work of Robins. Euler, true to form, tripled the length of the work with his annotations and published them in 1745. The annotated text was translated back into English in 1777, which, two and a half centuries later, brings us to our theme here. 2 The Early Theory of Ballistics Unbelievable as it may sound, Aristotle — who was a thinker, not an observer — claimed that when an object is thrown up, it moves in a straight line until it runs out of “up,” and then falls down, straight down. Aristotle believed that an object moved when a force was applied to it and stopped when the force stopped. This caused problems when trying to 1 explain why an arrow shot from a bow continues to fly after it leaves the bow. -
The Scientific Way of Warfare: Order and Chaos on the Battlefields of Modernity
The Scientific Way of Warfare: Order and Chaos on the Battlefields of Modernity Antoine James Aime Bousquet Thesis submitted in fulfilment of the requirements of the PhD London School of Economics and Political Science l UMI Number: U615652 All rights reserved INFORMATION TO ALL USERS The quality of this reproduction is dependent upon the quality of the copy submitted. In the unlikely event that the author did not send a complete manuscript and there are missing pages, these will be noted. Also, if material had to be removed, a note will indicate the deletion. Dissertation Publishing UMI U615652 Published by ProQuest LLC 2014. Copyright in the Dissertation held by the Author. Microform Edition © ProQuest LLC. All rights reserved. This work is protected against unauthorized copying under Title 17, United States Code. ProQuest LLC 789 East Eisenhower Parkway P.O. Box 1346 Ann Arbor, Ml 48106-1346 I, Antoine James Aime Bousquet, declare that the work presented in this thesis is my own. _____________ 4#_________________________ 2 Irrtish Library of Political III °\ * °\ T- Abstract The thesis of the present work is that throughout the modem era the dominant corpus of scientific ideas, as articulated around key machine technologies, has been reflected in the contemporary theories and practices of warfare in the Western world. Over the period covered by this thesis — from the ascendancy of the scientific worldview in the seventeenth and eighteenth centuries to present day — an ever more intimate symbiosis between science and warfare has established itself with the increasing reliance on the development and integration of technology within complex social assemblages of war. -
The Scientific Way of Warfare Order and Chaos on the Battlefields Ofmodernity
CRITICAL WAR STUDIES Series editors TARAK BARKAWI Centre ofInternational Studies, Cambridge University SHANE BRIGHTON Birkbeck College, University of London War transforms the social and political orders in which we live, just as it obliterates our precious certainties. Nowhere is this more obvious than in the fate of truths offered about war itself War regularly undermines expectations, strategies and theories, and along with them the credibility of those in public life and the academy presumed to speak with authority about it. A fundamental reason for this is the frequently narrow and impov erished intellectual resources that dominate the study of war. Critical War Studies begins with the recognition that the unsettling character of war is a profound opportunity for scholarship. Accordingly, the series welcomes submissions from across the academy as well as from reflective practition ers. It provides an open forum for critical scholarship concerned with war and armed forces and seeks to foster and develop the nascent encounter between war and contemporary approaches to society, history, politics and philosophy. It is a vehicle to reconceive the field of war studies, expand the sites where war is studied, and open the field to new voices. ANTOINE BOUSQUET The Scientific Way of Warfare Order and Chaos on the Battlefields ofModernity Columbia University Press New York Columbia Universiry Press Publishers Since 1893 New York Copyright © 2009 Antoine Bousquet All rights reserved Library of Congress Cataloging-in-Publication Data Bousquet, Antoine. The scientific way of warfare: order and chaos on the battlefields of moderniry / Antoine Bousquet. p. cm. - (Critical war studies) First published in the United Kingdom by Hurst Publishers, London, c2009. -
Back Matter (PDF)
INDEX TO THE PHILOSOPHICAL TRANSACTIONS (B) FOB TH E YEAB 1891. A. Apteryx, observations on the anatomy and development of, 25 (see Parker). B. Bacteriology of sewage,contributions to the chemical, 633 (see R oscoe and Lunt). Beevor (C. E.). On the Course of the Fibres of the Cingulum and the Posterior Parts of the Corpus Callosum and Fornix in the Marmoset Monkey, 135. B runton (T. L.) and Cash (J. T.). Contributions to the Study of the Connection between Chemical Constitution and Physiological Action.—Part II., 547. C. Cash (J. T.) (see B runton and Cash). Chemical bacteriology of ,sewage contributions to the, 633 (see Roscoe and Lunt) . Chemical constitution and physiological ,action contributions to the study of the connection between. Part II., 547 (see Brunton and Cash). Cingulum, on the course of the fibres of the, and the posterior parts of the corpus callosum and fornix in the Marmoset Monkey, 135 (see Beevor). MDCCCXCI.— B. 4 Q 666 INDEX. Circulation and r e s p i r a t i o n ,on the changes produced in the, by increase of the intra-cranial pressure or tension, 201 (see Spencer and Horsley). Coal-measures, on the organisation of the fossil plants of the.—Part XVIII., 255 (see W illiamson). Corpus callosum and fornix in the Marmoset Monkey, on the course of the fibres of the cingulum and the posterior parts of the, 135 (see Beevor). Croonian Lecture.—On the Mammalian Nervous System, its Functions, and their Localisation deter mined by an Electrical Method, 267 (see Gotch and Horsley).