The Works of Archimedes: Volume 2, On Spirals: Translation and Commentary

218 Pages·2017·3.3 MB·English

by  Archimedes

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.
Downloaded from https:/www.cambridge.org/core. University of Florida, on 11 Jun 2017 at 11:00:26, subject to the Cambridge Core terms of use, available at
https:/www.cambridge.org/core/terms. https://doi.org/10.1017/9781139019279
Downloaded from https:/www.cambridge.org/core. University of Florida, on 11 Jun 2017 at 11:00:26, subject to the Cambridge Core terms of use, available at
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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
Downloaded from https:/www.cambridge.org/core. University of Florida, on 11 Jun 2017 at 11:00:26, subject to the Cambridge Core terms of use, available at
https:/www.cambridge.org/core/terms. https://doi.org/10.1017/9781139019279
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.
Downloaded from https:/www.cambridge.org/core. University of Florida, on 11 Jun 2017 at 11:00:26, subject to the Cambridge Core terms of use, available at
https:/www.cambridge.org/core/terms. https://doi.org/10.1017/9781139019279
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.
Downloaded from https:/www.cambridge.org/core. University of Florida, on 11 Jun 2017 at 11:03:24, subject to the Cambridge Core terms of use, available at
https:/www.cambridge.org/core/terms. https://doi.org/10.1017/9781139019279
Downloaded from https:/www.cambridge.org/core. University of Florida, on 11 Jun 2017 at 11:03:24, subject to the Cambridge Core terms of use, available at
https:/www.cambridge.org/core/terms. https://doi.org/10.1017/9781139019279
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
Downloaded from https:/www.cambridge.org/core. University of Florida, on 11 Jun 2017 at 11:03:24, subject to the Cambridge Core terms of use, available at
https:/www.cambridge.org/core/terms. https://doi.org/10.1017/9781139019279
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.
Downloaded from https:/www.cambridge.org/core. University of Florida, on 11 Jun 2017 at 11:03:24, subject to the Cambridge Core terms of use, available at
https:/www.cambridge.org/core/terms. https://doi.org/10.1017/9781139019279
ToMaya,DaryaandTamara
Downloaded from https:/www.cambridge.org/core. University of Florida, on 11 Jun 2017 at 11:03:17, subject to the Cambridge Core terms of use, available at
https:/www.cambridge.org/core/terms. https://doi.org/10.1017/9781139019279
Downloaded from https:/www.cambridge.org/core. University of Florida, on 11 Jun 2017 at 11:03:17, subject to the Cambridge Core terms of use, available at
https:/www.cambridge.org/core/terms. https://doi.org/10.1017/9781139019279