The Works of Archimedes, The Two Books On the Sphere and the Cylinder: Translation and Commentary PDF
Preview The Works of Archimedes, The Two Books On the Sphere and the Cylinder: Translation and Commentary
This page intentionally left blank 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
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