The Works of Archimedes, The Two Books On the Sphere and the Cylinder: Translation and Commentary

387 Pages·2004·2.03 MB·English

by  Archimedes

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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
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Cambridge University Press
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© Reviel Netz 2004
This publication is in copyright. Subject to statutory exception and to the provision of
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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
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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