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[]
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[] .
[]
- .
- , 1968, . 165174; Pingree, 1971; van der Waerden, 1987; Duke 2005.
- , (1966). . Pedersen 1994.
- Neugebauer, 1945; Evans, 1998.
- Toomer, 1978.
- Goldstein, 1997.
- Goldstein and Bowen, 1983.
- Van der Waerden, 1974, 1978, 1982.
- 1 2 Rawlins, 1985.
- 1 2 3 Rawlins, 1991.
- 1 2 3 4 Rawlins, 2008.
- Van der Waerden, 1988; Rawlins, 1985.
- Van der Waerden, 1984, 1987; Rawlins, 1987; Thurston, 2002.
- 1 2 3 4 5 Russo, 1994, 2004.
- Evans 1998, p. 216-219
- , , , (., , ). , , Russo 2004.
- 1980, c. 23.
- , 2001; , 1982.
- 1 2 3 4 . , 1979.
- : , , - , . XX, 1988.
- 1902, 1979, 1981.
- Grant 2007, p. 7-8.
- 1959, . 178.
- 1959, . 179; van der Waerden 1974, p. 177-178.
- 1991, c. 312.
- 1991.
- , , . IV.
- , , . II.
- , , . 1, . 6.
- 1 2 , , . II, . 12.
- , 1959, . 250.
- D. L. Couprie, Anaximander (c.610546 BCE).
- Heath 1913, p. 111-112.
- , 86b, , X, 616.
- , , . II, . 9.
- , , . II, . 6.
- , , . XII, . 8.
- ( 1961, 2001, 2005.).
- Van der Waerden, 1978.
- Gregory, 2000.
- 1 2 , , . I, . 7.
- 1979.
- Heath 1913, p. 130-131.
- , , , .
- , , , (Knorr 1990). Gregory 2003.
- Van der Waerden 1974.
- Van der Waerden 1982.
- ., , Knorr 1990, Gregory 2000.
- «We have no trace of anything resembling astrology practised in the Greek world at this time» (Jones 2006, p. 277).
- , 1961.
- , , ., , 1962.
- , , Online.
- , .
- ( , I, 1050-1069).
- , 1977, . 50.
- Rawlins, 1999.
- Rawlins, 2002.
- Goldstein and Bowen, 1991.
- Maeyama, 1984.
- . Van der Waerden, 1984; , 2001; Jones, 2006.
- 1/15 , 2°.
- 1 2 Neugebauer 1949.
- . 2001. , (Russo 2004, p. 81-82).
- Christianidis et al., 2002.
- 1 2 , 2001.
- Rawlins, 1987; Van der Waerden, 1987; Russo, 1994, 2004; , 1975, . 175.
- , , , 6.
- Swerdlow, 1969; Toomer, 1974.
- Dutka, 1993.
- Engels, 1985.
- , , IX.2, c. 279.
- 1961, . 38.
- Van der Waerden, 1988.
- Toomer, 1978. . Thurston, 1994.
- , , (D. Duke, Six Easy Lectures on Ancient Mathematical Astronomy, Lection 1).
- Duke, 2002.
- Sidoli, 2004.
- Neugebauer, 1972, p. 250.
- : .
- 62 .. ( 1968, . 184). . Neugebauer and Van Hoessen 1987, pp. 161-162.
- Jones 1991; Evans 1998, pp. 344347.
- 1991, . 195-196.
- Jones 2004.
- , .
- , .
- , 1985; Gingerich, 1980.
- 1959, . 250.
- Did Hypatia invent the Astrolabe?
- The Biographical Encyclopedia of Astronomers, p. 43.
- Duke, 2005.
- ., , Gingerich 1980.
- Evans, 1998, pp. 384392.
- Murschel, 1995.
- Pingree 1971.
- Aiton, 1981.
- , , .
- , « », I, . 17, 16.
- 1 2 , , I.
- , 1968, . 165-174; Pingree, 1971; van der Waerden, 1987.
- ., , Duke 2005.
- Langermann 1997.
- Saliba 1996.
- 1983, Grant 1997.
- Grant 1997.
[]
[]
- , « », - , . XX, 1988. Online
- , « » Online. . . « », - , . VII, 1961 (. . .2046).
- , «», . XII, . 8. Online
- , «». Online
- , « ». Online
- , « » ( ). .: , , ., , 2001. Online
- , «», -, - , 1997. Online
- «, , . , , , », ., , 1997. Online
- , «». Online
- , « "" ». Online
- . , «, », ., , 1998. Online
- , « , » ( .. ), , .3, 2009, . 466-558. Online
- . ( .. ), , 4. 2 (2010) 349415. Online
- , ( .. ), , 5.2 (2011) 174233. Online
[]
- . . . .: , 1988.
- . ( . . ). ( : ). : , 2011.
- . . . , . .: , 1959.
- . . II. . .: , 1991.
- . . // - , . VII. .: 1961. . 1770.
- . . // . .: 1982. № 2. . 120124.
- . ., . . . .: - , 1989.
- . . XI // - , . XVI. .: 1983. . 325338.
- . . . .: -, 2001.
- . . VIII-V . .. .: , 2000.
- . . . .: , 1975.
- . ., . . : - . ., 1988.
- . . . .: , 1987.
- . . // , .8. -: 1979.
- O. . .: , 1968.
- . . .: , 1985.
- . . .: , 1966.
- . . . . .: , 1979.
- . . . .: , 1980.
- . . . .: , 1988.
- . . . .: , 1977.
- . . ., 1902.
- . . // - , . XXX. .: , 2005. . 159200.
- . . . . .: , 1981.
- . . . . .: , 1991.
- Aaboe A. Scientific Astronomy in Antiquity // Phil. Trans. R. Soc. Lond. A. 1974. Vol. 276. P. 2142.
- Aiton E. J. Celestial spheres and circles // History of Science. 1981. Vol. 19. P. 76114.
- Campion N. Astronomy and Psyche in the Classical World: Plato, Aristotle, Zeno, Ptolemy // Journal of Cosmology. 2010. Vol. 9. P. 21792186.
- Christianidis J., Dialetis D., Gavroglu K. Having a Knack for the Non-intuitive: Aristarchuss Heliocentrism through Archimedess Geocentrism // History of Science. 2002. Vol. 40. № 128. P. 147168.
- Couprie D. L. Heaven and Earth in Ancient Greek Cosmology: From Thales to Heraclides Ponticus. Oxford University Press, 2011.
- Dicks D. R. Early greek astronomy to Aristotle. Ithaca, New York: Cornell Univ. Press, 1985.
- Dreyer J. L. E. History of the planetary systems from Thales to Kepler. Cambridge University Press, 1906.
- Duke D. Hipparchus Coordinate System // Arch. Hist. Exact Sci. 2002. Vol. 56. P. 427433.
- Duke D. The Equant in India: The Mathematical Basis of Ancient Indian Planetary Models // Arch. Hist. Exact Sci. 2005. Vol. 59. P. 563576.
- Dutka J. Eratosthenes' measurement of the Earth reconsidered // Arch. Hist. Exact Sci. 1993. Vol. 46. P. 5566.
- Engels D. The length of Eratosthenes' stade // American J. of Philology. 1985. Vol. 106. P. 298311.
- Evans J. The History and Practice of Ancient Astronomy. New York: Oxford University Press, 1998.
- Evans J. The material culture of Greek astronomy // Journal of the History of Astronomy. 1999. Vol. 30. P. 238307.
- Gingerich O. Was Ptolemy a Fraud? // Royal Astron. Soc. Quarterly Journal. 1980. Vol. 21. P. 253266.
- Goldstein B. R. Saving the phenomena: The background to Ptolemy's planetary theory // Journal of the History of Astronomy. 1997. Vol. 28. P. 112.
- Goldstein B. R., Bowen A. C. A new view of early Greek astronomy // Isis. 1983. Vol. 74(273). P. 330340.
- Goldstein B. R., Bowen A. C. The introduction of dated observations and precise measurement in Greek astronomy // Arch. Hist. Exact Sci. 1991. Vol. 43(2). P. 93132.
- Grant E. The Medieval Cosmos: Its Structure and Operation // Journal for the History of Astronomy. 1997. Vol. 28. P. 147167.
- Grant E. A History of Natural Philosophy From the Ancient World to the XIX century. New York: Cambridge University Press, 2007.
- Gregory A. Plato and Aristotle on eclipses // Journal of the History of Astronomy. 2000. Vol. 31. P. 245259.
- Gregory A. Eudoxus, Callippus and the Astronomy of the Timaeus // Bulletin of the Institute of Classical Studies, Supplement. 2003. Vol. 78. P. 528.
- Heath T. L. Aristarchus of Samos, the ancient Copernicus: a history of Greek astronomy to Aristarchus. Oxford.: Clarendon, 1913 (reprinted New York, Dover, 1981).
- Heath T. L. Greek Astronomy. Oxford.: J. M. Dent & Sons, Ltd. London, 1932 (reprinted New York, Dover, 1991).
- Jones A. The adaptation of Babylonian methods in Greek numerical astronomy // Isis. 1991. Vol. 82(313). P. 441453.
- Jones A. An Almagest Before Ptolemys? // In: Studies in the History of the Exact Sciences in Honour of David Pingree, edited by C. Burnett, J.P. Hogendijk, K. Plofker, and M.Yano. Leiden: Brill, 2004. P. 129136.
- Jones A. Ptolemys Ancient Planetary Observations // Annals of science. 2006. Vol. 63. P. 255290.
- Knorr W. R. Plato and Eudoxus on planetary motions // Journal of the History of Astronomy. 1990. Vol. 12. P. 314329.
- Kragh H. Ancient Greek-Roman Cosmology: Infinite, Eternal, Finite, Cyclic, and Multiple Universes // Journal of Cosmology. 2010. Vol. 9. P. 21722178.
- Maeyama Y. Ancient stellar observations: Timocharis, Aristyllus, Hipparchus, Ptolemy the dates and accuracies // Centaurus. 1984. Vol. V.27(3-4). P. 280310.
- Murschel A. The Structure and Function of Ptolemy's Physical Hypotheses of Planetary Motion // Journal of the History of Astronomy. 1995. Vol. 26. P. 3361.
- Neugebauer O. The History of Ancient Astronomy: Problems and Methods // Journal of Near Eastern Studies. 1946. Vol. 58. P. 138.
- Neugebauer O. The History of Ancient Astronomy: Problems and Methods (Concluded) // Journal of Near Eastern Studies. 1946. Vol. 58. P. 104142.
- Neugebauer O. Mathematical methods in ancient astronomy // Bull. Amer. Math. Soc. 1948. Vol. 54, No 11, Pt. 1. P. 10131041.
- Neugebauer O. The Early History of the Astrolabe. Studies in Ancient Astronomy IX // Isis. 1949. Vol. 49. P. 240256.
- Neugebauer O. On Some Aspects of Early Greek Astronomy // Proceedings of the American Philosophical Society. 1972. Vol. 116, No. 3. P. 243251.
- Neugebauer O., Van Hoesen H. B. Greek Horoscopes. American Philosophical Society, 1987.
- Pedersen O. Scientific accounts of the universe from antiquity to Kepler // European Review. 1994. Vol. V. 2, Issue 2. P. 125140.
- Pedersen O. A Survey of the Almagest. Springer, 2010.
- Pingree D. On the Greek Origin of the Indian Planetary Model Employing a Double Epicycle // Journal of the History of Astronomy. 1971. Vol. 2. P. 8085.
- Pinotsis A. D. Comparison and historical evolution of ancient Greek cosmological ideas and mathematical models // Astronomical & Astrophysical Transactions. 2005. Vol. 24. № 6. P. 463483.
- Pinotsis A. D. The Antikythera mechanism: who was its creator and what was its use and purpose? // Astronomical & Astrophysical Transactions. 2007. Vol. 26. № 4,5. P. 211226.
- Rawlins D. Ancient geodesy: achievements and corruption // Vistas in astronomy. 1985. Vol. 28. P. 255268.
- Rawlins D. Ancient Heliocentrists, Ptolemy, and the equant // American Journal of Physics. 1987. Vol. 55. P. 235-9.
- Rawlins D. Hipparchos' ultimate solar orbit // DIO. 1991. Vol. 1.1. P. 49-66.
- Rawlins D. Continued-Fraction Decipherment: Ancestry of Ancient Yearlengths and pre-Hipparchan Precession // DIO. 1999. Vol. 9.1.
- Rawlins D. Aristarchos and the «Babylonian» System B Month // DIO. 2002. Vol. 11.1.
- Rawlins D. Aristarchos Unbound: Ancient Vision // DIO. 2008. Vol. 14.
- Russo L. The astronomy of Hipparchus and his time: A study based on pre-ptolemaic sources // Vistas in astronomy. 1994. Vol. 38, Pt 2. P. 207248.
- Russo L. The forgotten revolution: how science was born in 300 BC and why it had to be reborn. Berlin.: Springer, 2004.
- Saliba G. Arabic Planetary Theories after the Eleventh Century AD // in: Encyclopedia of the History of Arabic Science. London: Routledge, 1996. P. 58127.
- Sidoli N. Hipparchus and the Ancient Metrical Methods on the Sphere // Journal of the History of Astronomy. 2004. Vol. 35. P. 7184.
- Swerdlow N. M. Hipparchus on the distance of the sun // Centaurus. 1969. Vol. 14. P. 287305.
- The Biographical Encyclopedia of Astronomers / Hockey T. et al. (Eds.). New York: Springer, 2007. 1341 p. ISBN 978-0-387-31022-0
- Thurston H. Greek Mathematical Astronomy Reconsidered // Isis. 2002. Vol. 93. P. 5869.
- Thurston H. Early astronomy. New York: Springer-Verlag, 1994.
- Toomer G. J. Hipparchus on the distances of the Sun and Moon // Arch. Hist. Exact Sci. 1974. Vol. 14. P. 126142.
- Toomer G. J. Hipparchus // Dictionary of Scientific Biography. 1978. Vol. 15. P. 207224.
- Tzvi Langermann Y. Arabic Cosmology // Early science and medicine. Heidelberg, New York: Springer, 1997. Vol. 2. P. 185213.
- Van der Waerden B. L. The Earliest Form of the Epicycle Theory // Journal of the History of Astronomy. 1974. Vol. 5. P. 175185.
- Van der Waerden B. L. On the motion of the planets according to Heraclides of Pontus // Arch. Internat. Hist. Sci. 1978. Vol. 28 (103). P. 167182.
- Van der Waerden B. L. The Motion of Venus, Mercury and the Sun in Early Greek Astronomy // Arch. Hist. Exact Sci. 1982. Vol. 26 (2). P. 99113.
- Van der Waerden B. L. Greek astronomical calendars. III. The calendar of Dionysios // Arch. Hist. Exact Sci. 1984. Vol. 29 (2). P. 125130.
- Van der Waerden B. L. The heliocentric system in Greek, Persian and Hindu astronomy // In: From deferent to equant: A Volume of Studies in the History of Science in the Ancient and Medieval Near East in Honor of E.S. Kennedy. Annals of the New York Academy of Sciences, 1987, June. Vol. 500. P. 525545.
- Van der Waerden B. L. Reconstruction of a Greek table of chords // Arch. Hist. Exact Sci. 1987. Vol. 38. P. 2338.
[]
- . . 2001.
- . . . ., 1991.
- .
- . ., .
- .., «» .
- ., . . 1. : .
- . . , (. 38).
- Models for planetary motion: from the homocentric spheres to epicycles and heliocentric orbits (Mogi Vicentini: 3D grapics and videos).
- C.S. McConnell, Models of Planetary Motion from Antiquity to the Renaissance.
- Greek_astronomy (MacTutor History of Mathematics archive).
- D. Duke, Ancient Planetary Model Animations.
- D. Duke, Six Easy Lectures on Ancient Mathematical Astronomy.
- Antikythera Mechanism research project.
- M. S. Mahoney, Ptolemaic Astronomy in the Middle Ages.
- H. Mendell, Anaximander's Cosmology.
- H. Mendell, Eudoxos of Knidos (Eudoxus of Cnidus): astronomy and homocentric spheres.
- H. Mendell, Derivation of the position of the center of the solar deferent on the eccentric model (Ptolemy, Almagest iii 4).
- R. A. Hatch, History of Science Study Guide.
- T. Freeth and A. Jones, The Cosmos in the Antikythera Mechanism.
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