Introduction  pp. 1-28


By Archimedes and Reviel Netz

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The extraordinary influence of Archimedes over the scientific revolution was due in the main to Latin and Greek–Latin versions handwritten and then printed from the thirteenth to the seventeenth centuries. Translations into modern European languages came later, some languages served better than others. There are, for instance, three useful French translations of the works of Archimedes, of which the most recent, by C. Mugler – based on the best text known to the twentieth century – is still easily available. A strange turn of events prevented the English language from possessing until now any full-blown translation of Archimedes. As explained by T. L. Heath in his important book, The Works of Archimedes, he had set out there to make Archimedes accessible to contemporary mathematicians to whom – so he had thought – the mathematical contents of Archimedes' works might still be of practical (rather than historical) interest. He therefore produced a paraphrase of the Archimedean text, using modern symbolism, introducing consistency where the original is full of tensions, amplifying where the text is brief, abbreviating where it is verbose, clarifying where it is ambiguous: almost as if he was preparing an undergraduate textbook of “Archimedean Mathematics.” All this was done in good faith, with Heath signalling his practices very clearly, so that the book is still greatly useful as a mathematical gloss to Archimedes. (For such a mathematical gloss, however, the best work is likely to remain Dijksterhuis' masterpiece from 1938 (1987), Archimedes.)

Reference Type: bibliography

Reference Title: Bibliography

Reference Type: bibliography

Berggren, J. L. 1976. Spurious Theorems in Archimedes' Equilibrium of Planes Book Ⅰ. Archive for History of Exact Sciences 16: 87–103
Cameron, A. 1990. Isidore of Miletus and Hypatia: on the Editing of Mathematical Texts. Greek, Roman and Byzantine Studies 31: 103–27
Carol, L. 1895. What the Tortoise Said to Achilles, Mind 1895: 278–80
Clagett, M. 1964–84. Archimedes in the Middle Ages (5 vols.). Philadelphia
Dijksterhuis, E. J. 1987. Archimedes. Princeton, NJ: Princeton University Press. (First published in 1956, Copenhagen. Original Dutch edition goes back to 1938.)
Fowler, D. H. F. 1999. The Mathematics of Plato's Academy (2nd ed.). Oxford
Heath, T. L. 1897. The Works of Archimedes. Cambridge
Heiberg, J. L. 1879. Quaestiones Archimedeae. Copenhagen
Heiberg, J. L. 1880–81. Archimedes / Opera (3 vols.) (1st ed.). Leipzig
Heiberg, J. L. 1907. Eine Neue Archimedesschrift, Hermes 42: 234–303
Heiberg, J. L. 1910–15. Archimedes / Opera (3 vols.) (2nd ed.). Leipzig
Hoyrup, J. 1994. Platonism or Archimedism: on the Ideology and Self-Imposed Model of Renaissance Mathematicians, 1400 to 1600, in his Measure, Number and Weight: Studies in Mathematics and Culture 203–23: Albany NY
Hultsch, F. 1876–78. Pappus / Opera (3 vols.). Berlin
Jones, A. 1986. Book 7 of the Collection / Pappus of Alexandria. New York
Jones, A. 1999. Astronomical Papyri from Oxyrhynchus. Philadelphia
Knorr, W. 1983. Construction as Existence Proof in Ancient Geometry. Ancient Philosophy: 125–48
Knorr, W. 1986. The Ancient Tradition of Geometric Problems. Boston
Knorr, W. 1987. Archimedes After Dijksterhuis: a Guide to Recent Studies, in Dijksterhuis 1987, 419–51
Knorr, W. 1989. Textual Studies in Ancient and Medieval Geometry. Boston
Lasserre, F. 1966. Die fragmente des Eudoxus von Knidos. Berlin
Lloyd, G. E. R. 1966. Polarity and Analogy. Cambridge
Lorch, P., 1989. The Arabic Transmission of Archimedes' Sphere and Cylinder and Eutocius' Commentary. Zeitschrift für Geschichte der Arabische-Islamischen Wissenschaften, 5: 94–114
Mansfeld, J. 1998. Prolegomena Mathematica. Leiden
Marsden, E. W. 1971. Greek and Roman Artillery Ⅱ: Technical Treatises. Oxford
Merlan, P. 1960. Studies in Epicurus and Aristotle. Klassisch-Philologische Studien 22: 1–112
Mugler, C. 1970–74. Archimede/ Oeuvres (4 vols.). Paris
Netz, R. 1998. The First Jewish Scientist? Scripta Classica Israelica
Netz, R. 1999. The Shaping of Deduction in Greek Mathematics: a Study in Cognitive History. Cambridge
Netz, R. Forthcoming (a). Issues in the Transmission of Diagrams in the Archimedean Corpus. Sciamus
Netz, R. Forthcoming (b) From Problems to Equations: a Study in the Transformationof Early Mediterranean Mathematics. Cambridge
Peyrard, F. 1807. Archimede / Oeuvres. Paris
Rose, V. 1884. Archimedes im Jahr 1269. Deutsche Literaturzeitung 5: 210–13
Rose, P. L. 1974. The Italian Renaissance of Mathematics: Studies on Humanists and Mathematicians from Petrarch to Galileo. Geneva
Saito, K. 1986. Compounded Ratio in Euclid and Apollonius. “Historia Scientarium”, ⅩⅩⅪ, 25–59
Sesiano, J. 1991. Un Fragment attribué a Archimède. Museum Helveticum 48: 21–32
Toomer, G. J. 1976. On Burning Mirrors / Diocles. New York
Torelli, J. 1792. Archimedes / Opera. Oxford
Ver Eecke, P. 1921. Archimede / Ouevres. Paris
Von Wilamowitz-Moellendorff, U. 1894. Ein Weihgeschenk des Eratosthenes, Nachrichten der k. Gesselschaft der Wissenschaften zu Göttingen, phil.-hist. Klasse, 15–35
Zeuthen, H. G. 1886. Die Lehere von den Kegelschnitten im Altertum. Kopenhagen