Bibliography
Anagnostakis, C., “The Arabic Version of Ptolemy's Planisphaerium”, Ph.D. thesis, Yale University 1984 (published in book form by University Microfilms International, Ann Arbor, Michigan).
Berggren, J. L., “Ptolemy's Maps of Earth and the Heavens: a New Interpretation”, Archive for History of the Exact Sciences 43 (1991), 133–144.
Commandinus, Ptolemaei planisphaerium. Iordani planisphaerium. Federici Commandini Urbinatis in Ptolemaei planisphaerium commentarius, Venice 1558.
Euclid: The Thirteen Books of Euclid's Elements, translated from the text of Heiberg with introduction and commentary by Sir Thomas L. Heath, Cambridge, University Press, 1926.
Heath, T. L., A History of Greek Mathematics, Oxford, Clarendon Press, 1921.
Heiberg, J. L.: see Ptolemaeus.
Ibn al-Nadīm, Kitâb al-Fihrist, ed. G. Flügel, I–II, Leipzig 1871–72.
Thomson, R. B., Jordanus de Nemore and the Mathematics of Astrolabes: De plana spera, Toronto, Pont. Inst. of Medieval Studies, 1978.
Kunitzsch, P., “The Role of Al-Andalus in the Transmission of Ptolemy's Planisphaerium and Almagest”. To appear in the Proceedings of the Fifth International Symposium on the History of Arabic Science, Granada 1992.
Kunitzsch, P., & R. Lorch: see Maslama.
Lorch, R., “Maslama's Comments on Thābit's al-shakl al-qa \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{t} \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{t} \) ā‘ and on Ptolemy's Planisphaerium”. To appear in the Proceedings of the symposium “Transmission of scientific ideas between Eastern and Western Islam in the Middle Ages” in the XIX Int. Cong. Hist. Sci. (1993).
Maslama: P. Kunitzsch & R. Lorch, “maslama's Notes on Ptolemy's Plani-sphaerium and Related Texts”, Bayerische Akademie der Wissenschaften, phil.-hist. Kl., Sitzungsberichte 1994, Heft 2.
Neubauer, Catalogue of the Hebrew Manuscripts of the Bodleian Library, Oxford 1886.
Neugebauer, O., History of Ancient Mathematical Astronomy, I–III. Berlin etc., Springer, 1975.
Ptolemaeus, Opera; Planisphaerium: vol. II, Leipzig 1907, ed. J. L. Heiberg, pp. 227–259; cf. also the Prolegomena, pp. XIIf.; CLXXX–CLXXXIX.
Sergeyeva, N. D., & L. M. Karpova, “Al-Farghānī's Proof of the Basic Theorem of Stereographic Projection”. Appendix 3 [pp. 210–217] of Thomson's edition of Jordanus' De plana sphera.
Sezgin, F., Geschichte des arabischen Schrifttums, Iff. Leiden, Brill, 1967ff.
Theodosius Tripolites, Sphaerica, [hrg.] von J. L. Heiberg, Abhandlungen der Gesellschaft der Wissenschaften zu Göttingen, Philol.-hist. Klasse, Neue Folge, Bd. XIX, 3 (1927).
Thomson: see Jordanus.
Vernet, J., & Catalá, M. A., “Las obras matematicas de Maslama de Madrid”, Al-Andalus 30 (1965), 15–45.
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Communicated by M. Folkerts & J. D. North
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Lorch, R.P. Ptolemy and Maslama on the transformation of circles into circles in stereographic projection. Arch. Hist. Exact Sci. 49, 271–284 (1995). https://doi.org/10.1007/BF00376093
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DOI: https://doi.org/10.1007/BF00376093