The Works of Archimedes: Translation and Commentary PDF
Preview The Works of Archimedes: Translation and Commentary
The Works of Archimedes Translation and Commentary VolumeII:OnSpirals ThisisthesecondvolumeofthefirstfullyfledgedEnglishtranslation oftheworksofArchimedes–antiquity’sgreatestscientistandoneof themostimportantscientificfiguresinhistory.ItcoversOnSpirals andisbasedonareconsiderationoftheGreektextanddiagrams,now madepossiblethroughnewdiscoveriesfromtheArchimedes palimpsest.OnSpiralsisoneofArchimedes’mostdazzling geometricaltoursdeforce,suggestingamannerof“squaringthe circle”and,alongtheway,introducingtheattractivegeometrical objectofthespiral.Theformofargument,nolessthantheresults themselves,isstriking,andRevielNetzcontributesextensiveand insightfulcommentsthatfocusonArchimedes’scientificstyle, makingthisvolumeindispensableforscholarsofclassicsandthe historyofscience,andofgreatinterestforthescientistsand mathematiciansoftoday. revielnetzisPatrickSuppesProfessorofGreekMathematicsand AstronomyatStanfordUniversity,andistheleadingscholarof Archimedestoday.Hehaspublishednumerousarticlesandbooks, manyofwhichhaveledtonewdirectionsinthestudyofthehistoryof science,includingTheShapingofDeductioninGreekMathematics (CambridgeUniversityPress,1999),TheTransformationof MathematicsintheEarlyMediterraneanWorld(Cambridge UniversityPress,2004),andLudicProof(CambridgeUniversity Press,2009).Heisalsoproducingacompletenewtranslationofand commentaryontheworksofArchimedes. the works of ARCHIMEDES Translated into English, with commentary, and critical edition of the diagrams REVIEL NETZ Patrick Suppes Professor of Greek Mathematics and Astronomy, Stanford University Volume II On Spirals UniversityPrintingHouse,CambridgeCB28BS,UnitedKingdom OneLibertyPlaza,20thFloor,NewYork,NY10006,USA 477WilliamstownRoad,PortMelbourne,VIC3207,Australia 4843/24,2ndFloor,AnsariRoad,Daryaganj,Delhi–110002,India 79AnsonRoad,#06–04/06,Singapore079906 CambridgeUniversityPressispartoftheUniversityofCambridge. ItfurtherstheUniversity’smissionbydisseminatingknowledgeinthepursuitof education,learning,andresearchatthehighestinternationallevelsofexcellence. www.cambridge.org Informationonthistitle:www.cambridge.org/9780521661454 DOI:10.1017/9781139019279 ©RevielNetz2017 Thispublicationisincopyright.Subjecttostatutoryexception andtotheprovisionsofrelevantcollectivelicensingagreements, noreproductionofanypartmaytakeplacewithoutthewritten permissionofCambridgeUniversityPress. Firstpublished2017 PrintedintheUnitedKingdombyClays,StIvesplc AcataloguerecordforthispublicationisavailablefromtheBritishLibrary. ISBN978-0-521-66145-4Hardback CambridgeUniversityPresshasnoresponsibilityforthepersistenceoraccuracyof URLsforexternalorthird-partyInternetWebsitesreferredtointhispublication anddoesnotguaranteethatanycontentonsuchWebsitesis,orwillremain, accurateorappropriate. ToMaya,DaryaandTamara CONTENTS ListofAbbreviationsofArchimedes’Works pageviii ListofAbbreviationsofCitedManuscripts andpre-HeibergEditions ix Acknowledgments x Introduction 1 TranslationandCommentary 15 OnSpirals 17 Appendix1 Pappus’CollectionIV.21–25 181 Appendix2 ScholiatoOnSpirals 187 Glossary 194 Bibliography 199 Index 201 vii ABBREVIATIONS ’ OF ARCHIMEDES WORKS SCI ThefirstbookOntheSphereandtheCylinder Eut.SCI Eutocius’commentaryontheabove SCII ThesecondbookOntheSphereandtheCylinder Eut.SCII Eutocius’commentaryontheabove SL OnSpiralLines CS OnConoidsandSpheroids DC MeasurementoftheCircle(DimensioCirculi) Eut.DC Eutocius’commentaryontheabove Aren. TheSand-Reckoner(Arenarius) PEI,II PlanesinEquilibrium Eut.PEI,II Eutocius’commentaryontheabove QP QuadratureoftheParabola Meth. TheMethod CFI ThefirstbookOnFloatingBodies(deCorporibus Fluitantibus) CFII The second book On Floating Bodies (de CorporibusFluitantibus) Bov. TheCattleProblem(ProblemaBovinum) Stom. Stomachion viii ABBREVIATIONS OF CITED MANUSCRIPTS AND PRE-HEIBERG EDITIONS Manuscripts A(reconstructedsourcemanuscriptofDEGH4) B(Moerbeke’s Latin translation, partly ofA,partly ofadifferent manuscript)Ottob.Lat.1850 C(TheArchimedesPalimpsest) DLaur.XXVIII.4 EMarc.305 GPar.Gr.2360 HPar.Gr.2361 4Vat.Gr.PiiII.16 Editions Commandino Commandino, F. 1558. Archimedes Opera non nulla. Venice. Torelli Torelli,J.1792.ArchimedisquaesupersuntOmnia.Oxford. Nizze Nizze,E.1824.ArchimedesvonSyrakusvorhandeneWerke. Stralsund. ix
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