The Works of Archimedes Volume 1: The Two Books On the Sphere and the Cylinder PDF
Preview The Works of Archimedes Volume 1: The Two Books On the Sphere and the Cylinder
The Works of Archimedes Archimedeswasthegreatestscientistofantiquityandoneofthe greatestofalltime.ThisbookisVolumeIofthefirstfullyfledged translationofhisworksintoEnglish.Itisalsothefirstpublicationof amajorancientGreekmathematiciantoincludeacriticaleditionof thediagrams,andthefirsttranslationintoEnglishofEutocius’ ancientcommentaryonArchimedes.Furthermore,itisthefirstwork toofferrecentevidencebasedontheArchimedesPalimpsest,the majorsourceforArchimedes,lostbetween1915and1998.A commentaryonthetranslatedtextstudiesthecognitivepractice assumedinwritingandreadingthework,anditisRevielNetz’saim torecovertheoriginalfunctionofthetextasanactof communication.Particularattentionispaidtotheaestheticdimension ofArchimedes’writings.Takenasawhole,thecommentaryoffersa groundbreakingapproachtothestudyofmathematicaltexts. reviel netz isAssociateProfessorofClassicsatStanford University.Hisfirstbook,TheShapingofDeductioninGreek Mathematics:AStudyinCognitiveHistory(1999),wasajointwinner oftheRuncimanAwardfor2000.Hehasalsopublishedmany scholarlyarticles,especiallyinthehistoryofancientscience,anda volumeofHebrewpoetry,AdayinBahuc(1999).Heiscurrently editingTheArchimedesPalimpsestandhasanotherbook forthcomingwithCambridgeUniversityPress,FromProblemsto Equations:AStudyintheTransformationofEarlyMediterranean Mathematics. the works of ARCHIMEDES Translated into English, together with Eutocius’ commentaries, with commentary, and critical edition of the diagrams REVIEL NETZ AssociateProfessorofClassics,StanfordUniversity Volume I TheTwoBooksOnthe SphereandtheCylinder cambridge university press Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo Cambridge University Press The Edinburgh Building, Cambridge cb2 2ru, UK Published in the United States of America by Cambridge University Press, New York www.cambridge.org Information on this title: www.cambridge.org/9780521661607 © Reviel Netz 2004 This publication is in copyright. Subject to statutory exception and to the provision of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published in print format 2004 isbn-13 978-0-511-19430-6 eBook (EBL) isbn-10 0-511-19430-7 eBook (EBL) isbn-13 978-0-521-66160-7 hardback isbn-10 0-521-66160-9 hardback Cambridge University Press has no responsibility for the persistence or accuracy of urls for external or third-party internet websites referred to in this publication, and does not guarantee that any content on such websites is, or will remain, accurate or appropriate. ToMaya v CONTENTS Acknowledgments pageix Introduction 1 1 Goalofthetranslation 1 2 Preliminarynotes:conventions 5 3 Preliminarynotes:Archimedes’works 10 TranslationandCommentary 29 OntheSphereandtheCylinder,BookI 31 OntheSphereandtheCylinder,BookII 185 Eutocius’CommentarytoOntheSphereand theCylinderI 243 Eutocius’CommentarytoOntheSphereand theCylinderII 270 Bibliography 369 Index 371 vii ACKNOWLEDGMENTS WorkonthisvolumewasbegunasIwasaResearchFellowatGonville and Caius College, Cambridge, continued as a Fellow at the Dibner Institute for the History of Science and Technology, MIT, and com- pletedasanAssistantProfessorattheClassicsDepartmentatStanford University. I am grateful to all these institutions for their faith in the importanceofthislong-termproject. Perhapsthegreatestpleasureinworkingonthisbookwasthestudy ofthemanuscriptsofArchimedeskeptinseverallibraries:theNational LibraryinParis,theMarcianLibraryinVenice,theLaurentianLibrary in Florence and the Vatican Library in Rome. The librarians at these institutionswereallverykindandpatient(noteasy,whenyourreader bendsoverdiagrams,rulerandcompassinhand!).Iwishtothankthem allfortheirhelp. SpecialwordsofthanksgototheWaltersArtMuseuminBaltimore, wheretheArchimedesPalimpsesthasrecentlybeenentrustedforcon- servation. I am deeply grateful to the Curator of Manuscripts there, William Noel, to the conservator of manuscripts, Abigail Quandt, to theimagersofthemanuscript,especiallyBillChristens-Barry,Roger Easton, and Keith Knox and finally, and most importantly, to the anonymousownerofthemanuscript,forallowingstudyofthisunique document. Mymostemphaticwordsofthanks,perhaps,shouldgotoCambridge University Press, for undertaking this complicated project, and for patiencewhen,withtheArchimedesPalimpsestrediscovered,delay– of the most welcome kind – was suddenly imposed upon us. I thank Pauline Hire, the Classics Editor in the Press at the time this work wasbegun,andMichaelSharp,currentClassicsEditor,forinvaluable advice, criticism and friendliness. Special words of thanks go to my student,AlexanderLee,forhishelpinproofreadingthemanuscript. ix
Description:The list of books you might like
