Mr. Milburne and the Serpentine Line
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
The Knowledge Bank at the Ohio State University Ohio State Engineer
The Knowledge Bank at The Ohio State University Ohio State Engineer Title: A History of the Slide Rule Creators: Derrenberger, Robert Graf Issue Date: Apr-1939 Publisher: Ohio State University, College of Engineering Citation: Ohio State Engineer, vol. 22, no. 5 (April, 1939), 8-9. URI: http://hdl.handle.net/1811/35603 Appears in Collections: Ohio State Engineer: Volume 22, no. 5 (April, 1939) A HISTORY OF THE SLIDE RULE By ROBERT GRAF DERRENBERGER HE slide rule, contrary to popular belief, is not in 1815 made a rule with scales specially adapted for a modern invention but in its earliest form is the calculations involved in chemistry. T several hundred years old. As a matter of fact A very important improvement was made by Sir the slide rule is not an invention, but an outgrowth of Isaac Newton when he devised a method of solving certain ideas in mathematics. cubic equations by laying three movable slide rule scales Leading up to the invention of the slide rule was the side by side 'and bringing them together or in line by- invention of logarithms, in 1614, by John Napier. laying a separate straight edge across them. This is Probably the first device having any relation to the now known as a runner. It was first definitely attached slide rule was a logarithmic scale made by Edmund to the slide rule by John Robertson in 1775. Gunter, Professor of Astronomy at Gresham College, About 1780 William Nicholson, publisher and editor in London, in 1620. This scale was used for multi- of "Nicholson's Journal", a kind of technical journal, plication and division by measuring the sum or differ- began to devote most of his time to the study and im- ence of certain scale lengths. -
{PDF EPUB} Popular History of England, Volume 7 by Charles Knight Oct 07, 2011 · Popular History of England, Volume 7 [Knight, Charles] on Amazon.Com
Read Ebook {PDF EPUB} Popular History Of England, Volume 7 by Charles Knight Oct 07, 2011 · Popular History Of England, Volume 7 [Knight, Charles] on Amazon.com. *FREE* shipping on qualifying offers. Popular History Of England, Volume 7Written: 07 Oct, 2011Format: PaperbackAuthor: Charles KnightImages of Popular History of England, Volume 7 by Charles Knight bing.com/imagesSee allSee all imagesThe popular history of England Volume 7 ; an illustrated ...https://www.amazon.com/popular- history-illustrated...The popular history of England Volume 7 ; an illustrated history of society and government from the earliest period to our own times [Knight, Charles] on Amazon.com. *FREE* shipping on … Dec 17, 2008 · The popular history of England : an illustrated history of society and government from the earliest period to our own times ... Knight, Charles, 1791-1873. Publication date 1883 Topics genealogy ... cdl; americana Digitizing sponsor Internet Archive Contributor University of California Libraries Language English Volume 7. Addeddate 2008-12-17 ... of Mr. Knight's History of England opens with an entertaining sketch of our national progress, • The Popular History of England. An Illustrated History of Society and Govern- ment from the Earliest Period to our own Times. By Charles Knight. Vol. VII. From the Close of the American War, 1783, to the Restoration of the Bourbons, and the Peace of Paris, 1814 Bradbury and Evans. in its various aspe The Popular History of England: in four volumes: volumes 3, 4, 6 and 7 by Knight, Charles Seller MW Books Ltd. Published 1865 Condition Good copies in the original title-blocked pictorial cloth. With sun-toning and dust-dulling to the spine bands and panel edges w Edition First Edition Item Price £ The Popular History of England: An Illustrated History of Society and Government from the Earliest Period to Our Own Times. -
The Book As Instrument: Craft and Technique in Early Modern Practical Mathematics
BJHS Themes (2020), 5, 111–129 doi:10.1017/bjt.2020.8 RESEARCH ARTICLE The book as instrument: craft and technique in early modern practical mathematics Boris Jardine* Department of History and Philosophy of Science, University of Cambridge, Free School Lane, CB2 3RH, UK *Email: [email protected] Abstract Early modern books about mathematical instruments are typically well illustrated and contain detailed instructions on how to make and use the tools they describe. Readers approached these texts with a desire to extract information – and sometimes even to extract illustrations which could be repurposed as working instruments. To focus on practical approaches to these texts is to bring the category of ‘making’ to the fore. But here care needs to be taken about who could make what, about the rhetoric of craft, and about the technique of working with diagrams and images. I argue that we should read claims about making instruments cautiously, but that, con- versely, we should be inquisitive and open-minded when it comes to the potential uses of printed diagrams in acquiring skill and knowledge: these could be worked on directly, or cut out or copied and turned into working instruments. Books were sites of mathematical practice, and in certain disciplines this was central to learning through doing. One of the more surprising things a sixteenth-century owner of an expensive folio volume might do was to take a sharp knife and cut it to pieces. John Blagrave’s 1585 The Mathematical Jewel, in fact, demands nothing less. This book, which introduced an elaborate instrument of Blagrave’s design for performing astronomical calculations, included wood- cuts that were specifically intended to be cut out and used as surrogates for the brass original: ‘get very fine pastboord … and then spred your paste very fine thereon, & quickly laying on this picture & clappe it streight into a presse’.1 ‘This picture’ refers to the full- page diagram printed near the front of the book, which can, as Blagrave says, be compiled with other diagrams to make a functioning instrument. -
Biographical Notes on Henry Briggs (1561 - 1630)
Biographical Notes 1 Biographical Notes on Henry Briggs (1561 - 1630). 1. Introduction. This introduction is related mainly to the professional life of Henry Briggs, and in particular to his work in table production. Briggs was the inaugural Professor of Geometry for many years at Gresham College, London. These notes are based partially on the chapter devoted to Briggs in J. Ward's : Lives of the Professors of Gresham College, (1740). In addition, the earlier work by T. Smith (1707), A Memoir of the Life and Work ..... Mr. Henry Briggs1 has been consulted and quoted from, and other sources, including letters. There is a fair amount of overlap of the material presented in these two sources, and we will mainly use the first reference, though it appeared later, as Ward's narrative holds the interest. Ward himself was professor of Rhetoric at the college at a later time, and he had available more contemporary material than we can readily muster to-day, so we must trust to his good judgement as to his selection - although according to Dr. Smith, most of Briggs' material had disappeared by the time he wrote his book. However, Ward was not a mathematician, and there were certain things to which he was oblivious, and there we must augment his presentation; and occasionally he got his dates wrong, and these we correct without further ado. This chapter has little to say about the actual mechanisms Briggs used to create his tables, instead it sets the stage historically on which this development was played out. Inevitably, the works of John Napier (1550 - 1617) are examined in addition to those of Briggs, in the remarkable unfolding of the story of the development of logarithms in the British Isles over the ten year period from the first appearance of Napier's tables in 1614 to those of Briggs in 1624. -
Napier's Ideal Construction of the Logarithms
Napier’s ideal construction of the logarithms Denis Roegel To cite this version: Denis Roegel. Napier’s ideal construction of the logarithms. [Research Report] 2010. inria-00543934 HAL Id: inria-00543934 https://hal.inria.fr/inria-00543934 Submitted on 6 Dec 2010 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Napier’s ideal construction of the logarithms∗ Denis Roegel 6 December 2010 1 Introduction Today John Napier (1550–1617) is most renowned as the inventor of loga- rithms.1 He had conceived the general principles of logarithms in 1594 or be- fore and he spent the next twenty years in developing their theory [108, p. 63], [33, pp. 103–104]. His description of logarithms, Mirifici Logarithmorum Ca- nonis Descriptio, was published in Latin in Edinburgh in 1614 [131, 161] and was considered “one of the very greatest scientific discoveries that the world has seen” [83]. Several mathematicians had anticipated properties of the correspondence between an arithmetic and a geometric progression, but only Napier and Jost Bürgi (1552–1632) constructed tables for the purpose of simplifying the calculations. Bürgi’s work was however only published in incomplete form in 1620, six years after Napier published the Descriptio [26].2 Napier’s work was quickly translated in English by the mathematician and cartographer Edward Wright3 (1561–1615) [145, 179] and published posthu- mously in 1616 [132, 162]. -
THE POLITICS of CATASTROPHE in the ART of JOHN MARTIN, FRANCIS DANBY, and DAVID ROBERTS by Christopher J
APOCALYPTIC PROGRESS: THE POLITICS OF CATASTROPHE IN THE ART OF JOHN MARTIN, FRANCIS DANBY, AND DAVID ROBERTS By Christopher James Coltrin A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy (History of Art) in the University of Michigan 2011 Doctoral Committee: Professor Susan L. Siegfried, Chair Professor Alexander D. Potts Associate Professor Howard G. Lay Associate Professor Lucy Hartley ©Christopher James Coltrin 2011 For Elizabeth ii Acknowledgements This dissertation represents the culmination of hundreds of people and thousands of hours spent on my behalf throughout the course of my life. From the individuals who provided the initial seeds of inspiration that fostered my general love of learning, to the scholars who helped with the very specific job of crafting of my argument, I have been the fortunate recipient of many gifts of goodness. In retrospect, it would be both inaccurate and arrogant for me to claim anything more than a minor role in producing this dissertation. Despite the cliché, the individuals that I am most deeply indebted to are my two devoted parents. Both my mother and father spent the majority of their lives setting aside their personal interests to satisfy those of their children. The love, stability, and support that I received from them as a child, and that I continue to receive today, have always been unconditional. When I chose to pursue academic interests that seemingly lead into professional oblivion, I probably should have questioned what my parents would think about my choice, but I never did. Not because their opinions didn‟t matter to me, but because I knew that they would support me regardless. -
Chapter I Introduction
Chapter I Introduction According to the ancient sources, Alexander the Great (356–323 BCE) followed in the tracks of the heroes of his youth. Though he would have had enough great men to look up to, first of all his father Philip II. (ca. 382–336 BCE), who had led Macedonia out of the shadow of the Greek city states, Alexander opted for different heroes altogether: he clung to the highly imaginative and evocative world of mythical storytelling and its protagonists, whose exploits he heard about in the tales of bards and whose deeds he witnessed on vase paintings. Philip II. had expedited an encompassing renewal of his country, including an urbanization based on Greek models, but Macedonia was archaic enough in that the mythical stories of agonal conflict, daring adventure, and otherworldly combat, could strike a chord with a society very much based on egalitar- ian, albeit patriarchal and certainly martial principles. To Alexander, the connection to the world of myth had a dimension that exceeded mere analogy between the real and the imagined, for the Argead dynasty into which he was born traced its roots back to Heracles, while the family of his mother Olympias claimed descent from Achilles.1 One could argue that this purported lineage was a mere promotional act of a dynasty which had for too long stood watching at the sidelines while others defined the politics of the day, but for Alexander the memory of his mythical ancestors loomed large in his upbringing2 and figured as a daily reminder of virtues integral to any great leader, including courage, compassion, a questing spirit and faith in the gods. -
The Eighteenth-Century Origins of the Concept of Scientific Revolution Author(S): I
The Eighteenth-Century Origins of the Concept of Scientific Revolution Author(s): I. Bernard Cohen Source: Journal of the History of Ideas, Vol. 37, No. 2 (Apr. - Jun., 1976), pp. 257-288 Published by: University of Pennsylvania Press Stable URL: http://www.jstor.org/stable/2708824 . Accessed: 03/06/2013 11:30 Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp . JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. University of Pennsylvania Press is collaborating with JSTOR to digitize, preserve and extend access to Journal of the History of Ideas. http://www.jstor.org This content downloaded from 148.206.40.98 on Mon, 3 Jun 2013 11:30:35 AM All use subject to JSTOR Terms and Conditions THE EIGHTEENTH-CENTURY ORIGINS OF THE CONCEPT OF SCIENTIFIC REVOLUTION1 BY I. BERNARDCOHEN Many historians of science, like their fellow general historians, believe that the concept of revolution in science is of fairly recent origin, and that it has been superimposed anachronously-and even harshly-on events of the past.2 In fact, however, for some three centuries there has been a more or less unbroken tradition of viewing scientific change as a sequence of revolutions. In the eighteenth century, when this tradition appears to have taken its first rise, there was still some confusion and ambiguity about the sense of the word "revolution": in relation not only to science but to political events. -
Isaac Newton's TONOMETER and COLORIMETER1
Volume 22, Number 1, Spring, 2013 41 “In Experiments, where Sense is Judge” Isaac Newton’s TONOMETER and COLORIMETER1 Charles R. Adams In 1631, William Oughtred (1573-1660) published a small tones and colors, hearing and seeing. Newton was, of course, book on algebra, Clavis Mathematicæ (The Key of Mathe- no stranger to most fields of applied mathematics (such as matics), that was to become, through numerous editions and astronomy, mechanics, and navigation). But that he would commentaries, one the most popular and influential intro- also create significant uses for circular rules in the realm of ductory texts of the 17th century. He wrote the book, he said: sensory perception and the neurophysiological workings of audition and vision might seem unusual. However, he did “… to extend to students of mathematics, as it succeed in making technical advances in just those areas in were, Ariadne’s thread, by the help of which they part by incorporating a matho-musical model into his new may be led to the innermost secrets of this knowl- theory of light and colors, in effect tuning the rainbow. edge [such as Euclid’s mathematical demonstra- tions], and directed towards an easier and deeper Not only were discourses “on the consent and dissent of understanding of the most ancient and favoured visibles and audibles” (Francis Bacon) ubiquitous through- authors”. out all the sciences of the 17th century, but attention to the senses was a significant aspect of Newton’s own philosophy “Oughtred’s purpose was to use the method of analysis to of nature. He considered “the motion of light and sound … understand and recreate the work of ancient writers; Ari- [to be] topics that are most general and most fundamental for adne’s thread was to be a guide not to the future but to the natural philosophy”. -
The Will of William Lilly in the Prerogative Court of Canterbury
Working Paper Series No.22 The Will of William Lilly in the Prerogative Court of Canterbury Yoshihiko Okabe and Ryuji Kagami July 2013 THE ECONOMIC SOCIETY OF KOBE GAKUIN UNIVERSITY The Will of William Lilly in the Prerogative Court of Canterbury Yoshihiko Okabe and Ryuji Kagami1 1 Probate Record of the Prerogative Court of Canterbury The purpose of this short article is to introduce the will of William Lilly, a famous seventeenth- century astrologer. The most famous collection of manuscripts related to Lilly is the Ashmole Papers in the Bodleian Library at Oxford. However, Lilly’s will was not found there, because it is included in probate records in the Prerogative Court of Canterbury (PCC), the most prestigious court in England. If someone had personal property in more than one diocese, he could, in theory, undergo probate in the PCC.2 Inventories of wealthy people tended to undergo probate at the PCC. Details concerning PCC probate records are not well known, even for the number of surviving documents. It is possible to find inventories for those in any unique occupation, as in Lilly’s case, that were not found in local record offices. To date, the occupation of astrologer has not been found in probate records through record offices; Lilly’s is the only astrologer’s will found thus far. 2 A short bibliographical note on William Lilly William Lilly, a ‘student of astrology’, is an important figure both for academic researchers of early modern times and for practising astrologers. He is probably the best-known and most successful astrologer of the mid-seventeenth century, which was the ‘halcyon days of English astrology’ as well as the ‘crisis time of astrology’.3 1 Yoshihiko Okabe, Associate Professor, Faculty of Economics, Kobe Gakuin University (Economic and Business History). -
William Lilly's History of His Life and Times from the Year
S 0 ' WILLIAM LILLYS HISTORY OP HIS LIFE AND TIMES, FROM THE YEAR 1602 TO 1681. 38Rrttten bp f^imself, IS THE SIXTY-SIXTH YEAR OT HIS AOE, TO HIS WORTHY FHIENP, ELIAS ASHMOLE, ESQ. PUBLISHED FROM THE ORIGINAL MS. London, 1715. LONDON : RE-PRINTED FOR CHARLES BALDWYN, NEWGATE STREET. M.DCCC.XXII. HAVB1CK, PKINTEB, VENCI1U RCH-STIIEET. I LIST OF PLATES. William Lilly, (from Marshall's Print) to face Title. Ditto (from the Picture) to face Life. «« Dr. Simon Forman 34 * John Booker 68 " Charles the Second 95 m Charles the First 107 - Hugh Peters 134 * Speaker Lenthall 159 Oliver Cromwell l'O „ Dr.JohnDse 223 .Edward Kelly 226 i« Napier of Merchiston 236 ADVERTISEMENT. Prefixed to the Lives op Ellas Ashmole & William Lilly. In 1 vol. 8vo. 1772. ALTHOUGH we cannot, with justice, com pare Elias Ashmole to that excellent Antiquary John Leland, or William Lilly to the learned and indefatigable Thomas Hearne ; yet I think we may fairly rank them with such writers as honest Anthony Wood, whose Diary greatly resembles that of his cotemporary, and intimate friend, Elias Ashmole. Some anecdotes, connected with affairs of state; many particulars relating to illustrious B ii persons, and antient and noble families ; several occurrences in which the Public is interested, and other matters of a more private nature, can only be found in works of this kind. History cannot stoop to the meanness of examining the materials of which Memoirs are generally composed. And yet the pleasure and benefit resulting from such books are manifest to every reader. I hope the admirers of the very laborious Thomas Hearne will pardon me, if I should venture to give it as my opinion, and with much deference to their judgment, that William Lilly's Life and Death of Charles the first contains more useful matter of instruction, as well as more splendid and striking occurrences, than are to be found in several of those monkish volumes published by that learned Oxonian. -
The Squire's Dead Hand: the Influence of Genealogy on the Development of Biography in Restoration England
The squire's dead hand: the influence of genealogy on the development of biography in Restoration England Jan Broadway The antiquaries who have been the focus of much of my academic research established genealogy and heraldry as central to the study of English local history. Consequently the dead hand of the seventeenth-century squire has been criticised for casting a genealogical blight over the writing of local history in England until the second half of the last century. In my previous research I have explored the balance between the interests of the authors and the preoccupations of their gentry readership in causing this blight. Today I want to consider how the importance of genealogy to the early modern English gentry shaped the formation of a different genre, namely the writing of secular biography as it developed in the period after the civil war. I will argue that here too the squire's dead hand had a lasting and arguably deleterious influence. I belong to that generation of English historians who cut our teeth writing articles for the great exercise in collective biography that is the Oxford Dictionary of National Biography. As I strove to corral the details of an individual's life into the approved template within the word limit I had been allocated, I did not question what I was doing. I was more concerned with meeting the deadline and being paid. The shape of a biography seemed to be natural. You started with their name and dates, one or two words to define the category to which they belonged.