Bibliography of works cited
Archimedes, Opera, ed. J. L. Heiberg, Leipzig, 2. ed., 3 vol., 1910–1915 (repr. Stuttgart, 1972)
Becker, O., “Eudoxos-Studien I: Eine voreudoxische Proportionenlehre und ihre Spuren bei Aristoteles und Euklid,” Quellen und Studien zur Geschichte der Mathematik, Astronomie und Physik, 1936, 3, Abt. B, pp. 311–333
Becker, O., “Eudoxos-Studien IV: Das Prinzip des ausgeschlossenen Dritten in der griechischen Mathematik,” Quellen und Studien, 1936, 3, Abt. B, pp. 370–388
M. Clagett, Archimedes in the Middle Ages, I: The Arabo-Latin Tradition, Madison, Wisc., 1964
Dijksterhuis, E. J., Archimedes, Copenhagen, 1956 (New York, 1957)
Euclid, Opera, ed. J. L. Heiberg, I–IV: Elemente, Leipzig, 1883–1885; V: “Prolegomena critica” and Scholia, 1888 (rev. ed., ed. E. S. Stamatis, Stuttgart, 5 vol., 1969–77)
Eutocius, In Archimedem (see: Archimedes, Opera, vol. III)
Heath, T. L., Apollonius of Perga: Treatise on Conic Sections, Cambridge, 1896
Heath, T. L., A History of Greek Mathematics, 2 vol., Oxford, 1921
Heath, T. L., The Thirteen Books of Euclid's Elements, 2. ed., 3 vol., Cambridge, 1926
Heath, T. L., The Works of Archimedes ... with a Supplement, The Method of Archimedes, New York, n.d. (repr. of Cambridge ed. of 1897 with the supplement of 1912)
Heiberg, J. L., “Philologische Studien zu griechischen Mathematikern, II: Ueber die Restitution der zwei Bücher des Archimedes πɛρι σϕαιρας και κυλινδρου”, Jahrbücher für classische Philologie, 1880, Suppl. 11, pp. 384–398
Heiberg, J. L., “Philologische Studien ..., V: Interpolationen in den Schriften des Archimedes,” Jahrbücher ..., 1883, Suppl. 13, pp. 566–577
Heiberg, J. L., “Prolegomena critica” to the Archimedean corpus (see Archimedes, Opera, vol. III)
Heiberg, J. L., “Prolegomena critica” to the text of Euclid's Elements (see Euclid, Opera, vol. V)
Heiberg, J. L., Quaestiones Archimedeae, Copenhagen, 1879
Hero of Alexandria, Opera, III: Metrica, ed. H. Schöne, Leipzig, 1903
Knorr, W. R., “Archimedes and the Elements: Proposal for a Revised Chronological Ordering of the Archimedean Corpus,” Archive for History of Exact Sciences, 1978, 19, pp. 211–290
Knorr, W. R., “Archimedes and the Measurement of the Circle: A New Interpretation,” Archive for History of Exact Sciences, 1976, 15, pp. 125–140
Knorr, W. R., “Archimedes and the pre-Euclidean Proportion Theory,” Archives internationales d'histoire des sciences, 1978, 28, pp. 183–244
Knorr, W. R., “The Hyperbola-Construction in the Conics, Book II: Variations on a Theorem of Apollonius,” Centaurus, 1982, 25, pp. 253–291
Knorr, W. R., “Infinity and Continuity: The Interaction of Mathematics and Philosophy in Antiquity,” in N. Kretzmann (ed.), Infinity and Continuity in Ancient and Medieval Thought, Ithaca, N.Y./London, 1982, pp. 112–145
Kramer, E., “Hypatia,” Dictionary of Scientific Biography, ed. C. C. Gillispie, New York, VI, 1972, pp. 615–616
Mogenet, J., l'Introduction à l'Almageste, Brussels, 1956
Pappus, Collectionis quae supersunt, ed. F. Hultsch, 3 vol., Berlin, 1876–78
Pappus, Commentary on Ptolemy's Book VI (see Rome, vol. 1)
Proclus, In Primum Euclidis Elementorum Librum Commentarii, ed. G. Friedlein, Leipzig, 1873
Rome, A., ed., Commentaires de Pappus et de Théon d'Alexandrie sur l'Almageste, 3 vol., (Studi e Testi, vol. 54, 72, 106), Rome and Vatican City, 1931/36/43
Sato, T., “Archimedes' On the Measurement of a Circle, Proposition 1: An Attempt at a Reconstruction,” Japanese Studies in the History of Science, 1979, 18, pp. 83–99
Schneider, I., Archimedes: Ingenieur, Naturwissenschaftler und Mathematiker, Darmstadt, 1979
Simplicius, In Aristotelis de Caelo, ed. J. L. Heiberg, (Commentaria in Aristotelem Graeca, vol. VII), Berlin, 1894
Theon, In Claudii Ptolemaei Magnam Constructionem Commentariorum Lib. XI, ap. J. Walder, Basel, 1538
Theon, Commentary on Ptolemy's Book I (see Rome, vol. II)
Toomer, G. J., ed. Diocles: On Burning Mirrors, Berlin/Heidelberg/New York, 1976
Toomer, G. J., “The Mathematician Zenodorus,” Greek, Roman and Byzantine Studies, 1972, 13, pp. 177–192
Toomer, G. J., “Theon of Alexandria,” in Dictionary of Scientific Biography, ed. C. C. Gillispie, New York, XIII, 1976, pp. 321–325
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Knorr, W.R. Archimedes' dimension of the circle: A view of the genesis of the extant text. Arch. Hist. Exact Sci. 35, 281–324 (1986). https://doi.org/10.1007/BF00357303
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DOI: https://doi.org/10.1007/BF00357303