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Aristarchus's On the Sizes and Distances of the Sun and the Moon: Greek and Arabic Texts

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References

  1. Acerbi F. (2003), Drowning by Multiples: Remarks on the Fifth Book of Euclid's Elements, with Special Emphasis on Prop. 8, Archive for History of Exact Sciences, 57, 175–242.

  2. Anagnostakis C. (1984), The Arabic Version of Ptolemy's Planisphaerium, Ph.D Thesis, Yale University, New Haven.

  3. Bowen A. C. and B. R. Goldstein (1994), Aristarchus, Thales, and Heraclitus on Solar Eclipses: An Astronomical Commentary on P. Oxy. 53.3710 Cols. 2.33–3.19, Physis, 31, 689–729.

    Google Scholar 

  4. Berggren J. L. and R. S. D. Thomas (1996), Euclid's Phænomena: A Translation and Study of a Hellenistic Treatise in Spherical Astronomy, New York. (Reprited by the American Mathematical Society, 2006.)

  5. Cherniss H. and W. C. Helmbold, eds. and trans. (1968), Plutarch's Moralia: XII, Cambridge, MA.

  6. Chavoshī J. A., intro. (2005), Nasir al-Din at-Tusi: facsimile of Tabriz National Library MS 3484, Tehrān.

  7. Christianidis J., Dialetis D. and K. Gavroglu (2002), Having a Knack for the Non-Intuitive: Aristarchus's Heliocentrism Through Archimedes's Geocentrism, History of Science, 40, 147–168.

  8. Commandino F. (1572), Aristarchi De magnitudinibus, et distantiis solis, et lunae, liber cum Pappi Alexandrini explicationibus quibusdam. A Federico Commandino in Latinum conuersus, ac commentarijs illustratus, Pesaro.

  9. Dijksterhuis E. J. (1987), Archimedes, Princeton.

  10. Erhard R. v. and E. v. Erhardt-Siebold (1942), Archimedes' Sand Reckoner: Aristarchos and Copernicus, Isis, 33, 578–602.

  11. Erhard R. v. and E. v. Erhardt (1943), Notes and Correspondence, Isis, 34, 212–215.

    Google Scholar 

  12. Fortia d'Urban A. (1810), Histoire d'Aristarque de Samos, 2 vols., Paris.

  13. Fowler D. H. (1987), The Mathematics of Plato's Academy, Oxford.

  14. Friedlein G. (1873), Procli Diadochi in primum Euclidis elementorum librum commentarii, Liepzig.

  15. Heath T. L. (1926), The Thirteen Books of Euclid's Elements, Cambridge.

  16. Heath T. L. (1913), Aristarchus of Samos, Oxford.

  17. Heath T. L. (1921), A History of Greek Mathematics, 2 vols., Oxford.

  18. Heiberg J. L., ed. et int. (1895), Euclidis optica, opticorum recensio Theonis, catoptrica, cum scoliis antiquis, Leipzig, Euclidis opera omnia, vol. 6.

  19. Heiberg J. L., ed. et int. (1973), Archimedis opera omnia cum commentariis Eutocii, 3 vols., Leipzig, cor. et ad. E. Stamatis.

  20. Hultsch F., ed. et int. (1876–1878), Pappi Alexandrini collectionis quae supersunt, 3 vols., Berlin.

  21. Jones A. (1994), Peripatetic and Euclidean Theories of the Visual Ray, Physis, 31 Nuova Serie, 47–76.

  22. Kheirandish E. (1999), The Arabic Version of Euclid's Optics, New York.

  23. Knorr W. (1985), Ancient Versions of Two Trigonometric Lemmas, Classical Quarterly, 35, 362–391.

    Google Scholar 

  24. Knorr W. (1991), On the Principle of Linear Perspective in Euclid's Optics, Centaurus, 34, 193–210.

    Google Scholar 

  25. Knorr W. (1994), Pseudo Euclidean Reflection in Ancient Optics: A Re-Examination of Textural Issues Pertaining to the Euclidean Optica and Catoptrica, Physis, 31 Nuova Serie, 1–45.

  26. Kraus H. P. (1974), Monumenta codicum manuscriptoirum. An Exhibition Catalogue of Manuscripts of the 6th to the 17th Centuries from the Libraries of the Monasteries of St. Catherine, Mount Sinai, Monte Cassino, Lorsch, Nanantola, New York.

  27. Lorch R. (2001), Thābit ibn Qurra On the Sector Figure and Related Texts, Islamic Mathematics and Astronomy 108, Frankfurt am Main.

  28. Mogenet J. (1950), Autolycus de Pitane, histoire du texte suivie de l'edition critique des traités de la Sphère in mouvement et couchers, Université catholique de Louvain, Recueil de Travaux d'histoire et de philologie, 3e série, 37.

  29. Mueller I. (1981), Philosophy of Mathematics and Deductive Structure in Euclid's Elements, Cambridge, MA.

  30. Netz R. (1999a), The Shaping of Deduction in Greek Mathematics, Cambridge.

  31. Netz R. (1999b), Proclus' Division of the Mathematical Proposition into Parts: How and Why Was It Formulated? Classical Quaterly, 49, 282–303.

  32. Neugebauer O. (1942), Archimedes and Aristarchus, Isis, 34, 4–6.

  33. Neugebauer O. (1975), A History of Ancient Mathematical Astronomy, New York.

  34. Newton R. R. (1977) The Crime of Claudius Ptolemy, Baltimore.

  35. Noack B. (1992) Aristarch von Samos: Untersuchungen zur Überlieferungsgeschichte der Schrif Wiesbaden.

  36. Panchenko D. (2001), Aristarchus of Samos on the apparent sizes of the sun and moon, Antike Naturwissenschaft und ihre Rezeption, 11, 23–29.

    Google Scholar 

  37. Rawlins D. (1991), Ptolemy's Planetary Models as Funny Science, Journal of Hysterical Astronomy, 1.1 sec. 7.

    Google Scholar 

  38. Ragep F. J. (1993), Memoir on Astronomy, 2 vols., New York.

  39. Rashed R. (1996), Les mathématiques infinitésimales du IXe au XIe siècle, 2 vols., London.

  40. Sabra, A. I. (1987), The Appropriation and Subsequent Naturalization of Greek Science in Medieval Islam: A Preliminary Statement, History of Science, 25, 223–243.

  41. Schoy C. (1926), Graeco-Arabische Studien, Isis, 8, 21–41.

  42. Sezgin F. (1978), Geschichte des arabischen Schrifttums, Band VI: Astronomie, Leiden.

  43. Taisbak C. M., trans. and com. (2003), Euclid's Data: The Importance of Being Given, Copenhagen.

  44. Tannery P. (1912), Mémoires Scientifiques I: Sciences exacts dans l'antiquité, Paris.

  45. Toomer G. J., trans. (1984), Ptolemy's Almagest, London.

  46. al- N. al-D. (1940), Kitāb Hyderabad.

  47. al- N. al-D. (1940), Kitāb fī jirmay al-nayirayn wa-bu`dayhimā, Hyderabad.

  48. Uri J. (1787), Bibliothecæ Bodleianæ codicum manuscriptorum orientaium, Oxford.

  49. Vitrac B. (1990–2001), Euclide d'Alexandrie: Les Éléments, 4 vols., Paris.

  50. Wall B. E. (1975), The Historiography of Aristarchos of Samos, Studies in the History and Philosophy of Science, 6, 201–228.

  51. Wallis J. (1688), Aristarchi Samii de magnitudinibus & distantiis solis & lunæ, liber. Nunc primum Græce editus cum Federici Commandini versione Latina, notisque illius & editoris, Oxford.

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  1. Department of Mathematics, Simon Fraser University, Burnaby, Canada

    J. L. Berggren & Nathan Sidoli

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Berggren, J., Sidoli, N. Aristarchus's On the Sizes and Distances of the Sun and the Moon: Greek and Arabic Texts. Arch. Hist. Exact Sci. 61, 213–254 (2007). https://doi.org/10.1007/s00407-006-0118-4

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