The Works of Archimedes: Translation and Commentary

Archimedes; Reviel Netz

doi:10.1017/9781139019279

The Works of Archimedes

Translation and Commentary

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This is the second volume of the first fully-fledged English translation of the works of Archimedes - antiquity's greatest scientist and one of the most important scientific figures in history. It covers On Spirals and is based on a reconsideration of the Greek text and diagrams, now made possible through new discoveries from the Archimedes Palimpsest. On Spirals is one of Archimedes' most dazzling geometrical tours de force, suggesting a manner of 'squaring the circle' and, along the way, introducing the attractive geometrical object of the spiral. The form of argument, no less than the results themselves, is striking, and Reviel Netz contributes extensive and insightful comments that focus on Archimedes' scientific style, making this volume indispensable for scholars of classics and the history of science, and of great interest for the scientists and mathematicians of today.

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References

Bibliography

d'Alessandro, P. and Napolitani, P. D.. 2013. Archimede Latino: Iacopo da San Cassiano e il corpus archimedeo alla metà del quattrocento. Paris.

Clay, D. 1990. The Origins of the Socratic Dialogue. Durham NC.

Decorps-Foulquier, M. 2000. Recherches sur les Coniques d'Apollonios de Pergé et leurs commentateurs grecs. Paris.

Dijksterhuis, E. J. 1987. Archimedes. Princeton, NJ. (First published in 1956, Copenhagen. Original Dutch edition 1938.)

Fowler, D. H. F. 1999. The Mathematics of Plato's Academy. Oxford.

von Fritz, K. 1962. Neusis, in Pauly Wissowa Real-Encyclopädie, Supplement-Band IX, cols. 415–462, Stuttgart.

Funkenstein, A. 1986. Theology and the Scientific Imagination from the Middle Ages to the Seventeenth Century. Princeton.

Heath, T. L. 1897. The Works of Archimedes. Cambridge.

Heath, T. L. 1921. A History of Greek Mathematics. Oxford.

Heiberg, J. L. 1910–15. Archimedes / Opera (3 vols.) (edn.). Leipzig.

Hultsch, F. 1876–8. Pappus / Collectio (3 vols.). Berlin.

Jacques, J. M. 1960. Sur un acrostiche d'Aratos (Phen. 783–787), Revue des Études Anciennes, 62:48–61.

Jones, A. 1986. Pappus of Alexandria: Book VII of the Collection. Berlin.

Keyser, P. T. and Irby-Massie, G. L.. 2008. The Encyclopedia of Ancient Natural Scientists. London.

Knorr, W. R. 1978a. Archimedes and the Spirals: The Heuristic Background, Historia Mathematica, 5: 43–75.

Knorr, W. R. 1978b. Archimedes’ Neusis-Constructions in Spiral Lines, Centaurus, 22: 77–98.

Knorr, W. R. 1983. Construction as Existence Proof in Ancient Geometry, Ancient Philosophy, 3: 125–148.

Knorr, W. R. 1986. The Ancient Tradition of Geometrical Problems. Boston.

Knorr, W. R. 1996. The Method of Indivisibles in Ancient Geometry, in Vita Mathematica: Historical Research and Integration with Teaching, ed. Calinger, R.: 67–86. MAA Notes.

Lloyd, G. E. R. 1990. Demystifying Mentalities. Cambridge University Press.

Netz, R. 1998a. Deuteronomic Texts: Late Antiquity and the History of Mathematics, Revue D'Histoire des Mathématiques, 4: 261–288.

Netz, R. 1998b. The First Jewish Scientist?, Scripta Classica Israelica 17: 27–33.

Netz, R. 1999. The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History. Cambridge University Press.

Netz, R. 2004a. The Transformation of Mathematics in the Early Mediterranean: From Problems to Equations. Cambridge University Press.

Netz, R. 2004b. The Works of Archimedes, Translation and Commentary, Volume 1: The Two Books on the Sphere and the Cylinder. Cambridge University Press.

Netz, R. 2009. Ludic Proof: Greek Mathematics and the Alexandrian Aesthetic. Cambridge University Press.

Netz, R., Noel, W., Tchernetska, N. and Wilson, N.. 2011. The Archimedes Palimpsest. Cambridge University Press.

Scriba, C. J. 1963. The Inverse Method of Tangents: A Dialogue Between Leibniz and Newton (1675–1677), Archive for History of Exact Sciences, 2: 113–137.

Sedley, D. 2008. Atomism's Eleatic Roots, in The Oxford Handbook of Pre-Socratic Philosophy, ed. Curd, P. and Graham, D. W., 305–332. Oxford.

Sefrin-Weis, H. 2010. Pappus of Alexandria: Book 4 of the Collection. London.

Tannery, P. 1912. Mémoires Scientifiques de P. Tannery, ed. Heiberg, J. L. and Zeuthen, H. G.. Toulouse.

Wietzke, J. 2014. Knowledge in Person: The Socio-Literary Self-Fashioning of the Greek Expository Author. Stanford dissertation.

Zeuthen, H. G. 1886. Die Lehre von den Kegelschnitten im Altertum. Copenhagen.

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Translation and Commentary

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Contents

Frontmatter
pp i-iv

Dedication
pp v-vi

Contents
pp vii-vii

List of Abbreviations of Archimedes’ Works
pp viii-viii

List of Abbreviations of Cited Manuscripts and pre-Heiberg Editions
pp ix-ix

Acknowledgments
pp x-xii

Introduction
pp 1-14

Translation and Commentary
pp 15-16

On Spirals
pp 17-180

Appendix 1 - Pappus’ Collection IV.21–25
pp 181-186

Appendix 2 - Scholia to On Spirals
pp 187-193

Glossary
pp 194-198

Bibliography
pp 199-200

Index
pp 201-202

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Translation and Commentary

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