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Archive for History of Exact Sciences

, Volume 14, Issue 2, pp 126–142 | Cite as

Hipparchus on the distances of the sun and moon

  • G. J. Toomer
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Bibliography

  1. Archimedes, Opera Omnia, ed. J. L. Heiberg, 2nd edn., Vol. I. Leipzig 1910.Google Scholar
  2. Braudel, Fernand, The Mediterranean and the Mediterranean World in the Age of Philip II. tr. Siân Reynolds, Vol. I. New York 1972.Google Scholar
  3. Britton, John P., Ptolemy's Determination of the Obliquity of the Ecliptic. Centaurus 14, 29–41 (1969).Google Scholar
  4. CAH: The Cambridge Ancient History, Vol. VIII. Cambridge 1930.Google Scholar
  5. Calcidius: Timaeus a Calcidio translatus commentarioque instructus, ed. J. H. Waszink. London and Leiden 1962 (Plato Latinus, IV).Google Scholar
  6. Celoria, G., Sopra alcuni eclissi di Sole antichi e su quello di Agatocle in particolare. Atti dell'Accademia dei Lincei, Memorie, Classe di scienze fisiche ecc., Ser. 3, Vol. VII, 1880, pp. 89–166.Google Scholar
  7. Cleomedes, De motu circulari, ed. H. Ziegler. Leipzig 1891.Google Scholar
  8. Delambre, J. B. J., Histoire de l'astronomie ancienne, Vol. 2. Paris 1817, repr. New York and London 1965.Google Scholar
  9. Dicks, D. R., The Geographical Fragments of Hipparchus, London 1960.Google Scholar
  10. FGrH: Felix Jacoby, Die Fragmente der Griechischen Historiker, Vol. III B. Leiden 1950.Google Scholar
  11. Fotheringham, J. K., The eclipse of Hipparchus. Monthly Notices of the Royal Astronomical Society 69, 204–10 (1909).Google Scholar
  12. Ginzel, F. K., Spezieller Kanon der Sonnen- und Mondfinsternisse. Berlin 1899.Google Scholar
  13. Goldstein, Bernard R., The Arabic Version of Ptolemy's Planetary Hypotheses. Transactions of the American Philosophical Society 57, 4. Philadelphia 1967.Google Scholar
  14. Heath, T. L., Aristarchus of Samos, Oxford 1913, repr. 1959.Google Scholar
  15. Hipparchus, In Arati et Eudoxi Phaenomena Commentariorum Libri Tres, ed. K. Manitius. Leipzig 1894.Google Scholar
  16. Holleaux, Maurice, Etudes d'épigraphie et d'histoire grecques, ed. L. Robert, Vol. II. Paris 1938.Google Scholar
  17. Hultsch, F., Hipparchos über die Grösse und Entfernung der Sonne. SB. Sächs. Ges. d. Wiss., Leipzig, Phil.-hist. K. 52, 169–200 (1900).Google Scholar
  18. Hypsikles, Die Aufgangszeiten der Gestirne, ed. V. de Falco & M. Krause. Göttingen 1966 (Abh. Ak. Wiss. Göttingen, Phil.-hist. Kl. 3 F., Nr. 62).Google Scholar
  19. Kepler, Johannes, Astronomiae Pars Optica (Gesammelte Werke, ed. W. von Dyck & M. Caspar, Vol. II). München 1939.Google Scholar
  20. Leaf, Walter, Strabo on the Troad, Book XIII, Cap. I. Cambridge 1923.Google Scholar
  21. Livy, Ab Urbe Condita, ed. W. Weissenborn & H. J. Müller, Vol. VIII Pt. 2. Berlin 1907.Google Scholar
  22. Neugebauer, P. V., Astronomische Chronologie, 2 vols. Berlin and Leipzig 1929.Google Scholar
  23. Newcomb, Simon, Researches on the Motion of the Moon, Part II (Astronomical Papers prepared for the use of the American Ephemeris and Natutical Almanac, Vol. IX Pt. I). Washington 1912.Google Scholar
  24. Newton, Robert R., Ancient Astronomical Observations and the Accelerations of the Earth and Moon. Baltimore 1970.Google Scholar
  25. Niese, Benedictus, Geschichte der griechischen und makedonischen Staaten, Vol. 2. Gotha 1899.Google Scholar
  26. Oppolzer, Th. von, Canon der Finsternisse (Ak. Wien, Math.-nat. Cl., Denkschriften, nr. 52). Vienna 1887.Google Scholar
  27. Pappus, Commentaire sur les livres 5 et 6 de l'Almageste, ed. A. Rome, Rome 1931 (Studi e Testi, 54).Google Scholar
  28. Ptolemy, Almagest: Edition by J. L. Heiberg, Claudii Ptolemaei Opera quae exstant omnia I. Syntaxis Mathematica, 2 vols. Leipzig 1898, 1903.—Translation by K. Manitius, Ptolemäus, Handbuch der Astronomie, 2 vols., 2nd edn. Leipzig 1963.Google Scholar
  29. Pliny: C. Plinius Secundus, Naturalis Historia, ed. L. Ian & K. Mayhoff, Vol. I. Leipzig 1906.Google Scholar
  30. Riccioli, J. B., Almagestum Novum. Bologna 1651.Google Scholar
  31. Robert, Louis & Jeanne, La Carie II. Paris 1954.Google Scholar
  32. Schoch, C., Auszüge aus einer 1925 verfassten Niederschrift über den ersten Entwurf der Verbesserten Syzygientafeln. Astronomische Nachrichten, Ergänzungshefte 8.2, 1930 (ed. P. V. Neugebauer), pp. B22–B32.Google Scholar
  33. Strabo, Geographica Bk. II, ed. G. Aujac. Paris (Budé) 1969 (Strabon Tome I2).Google Scholar
  34. Swerdlow, Noel, Hipparchus on the Distance of the Sun. Centaurus 14, 287–305 (1969).Google Scholar
  35. Theon of Smyrna, Expositio rerum mathematicarum ad legendum Platonem utilium, ed. E. Hiller. Leipzig 1878.Google Scholar
  36. Toomer, G. J., The Size of the Lunar Epicycle According to Hipparchus. Centaurus 12, 145–150 (1967).Google Scholar
  37. Toomer, G. J., The Chord Table of Hipparchus and the Early History of Greek Trigonometry. Centaurus 18, 6–28 (1973).Google Scholar
  38. Tuckerman, Bryant, Planetary, Lunar, and Solar Positions 601 B.C. to A.D. 1. American Philosophical Society, Memoirs Vol. 56. Philadelphia 1962.Google Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • G. J. Toomer
    • 1
  1. 1.History of Mathematics DepartmentBrown UniversityProvidence

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