Contents 1 Life and work 1.1 Modern speculation 2 Babylonian sources 3 Geometry, trigonometry, and other mathematical techniques 4 Lunar and solar theory 4.1 Motion of the Moon
4.2
5 Astronomical instruments and astrometry
6
6.1 Stellar magnitude 7
15.1 General
15.2 Precession
15.3 Celestial bodies
15.4
Life and work[edit]
Relatively little of Hipparchus's direct work survives into modern
times. Although he wrote at least fourteen books, only his commentary
on the popular astronomical poem by
chord(A) = r(2 sin(A/2)). He described the chord table in a work, now lost, called Tōn en
kuklōi eutheiōn (Of Lines Inside a Circle) by
Geometric construction used by
Motion of the Moon[edit]
Further information:
In the first, the
For the eccentric model,
The somewhat weird numbers are due to the cumbersome unit he used in
his chord table according to one group of historians, who explain
their reconstruction's inability to agree with these four numbers as
partly due to some sloppy rounding and calculation errors by
Hipparchus, for which
Diagram used in reconstructing one of Hipparchus's methods of determining the distance to the moon. This represents the earth-moon system during a partial solar eclipse at A (Alexandria) and a total solar eclipse at H (Hellespont).
Late in his career (possibly about 135 BC)
Berger H. Die geographischen Fragmente des Hipparch. Leipzig: B. G. Teubner, 1869. Dicks D.R. The Geographical Fragments of Hipparchus. Edited with an Introduction and Commentary. London: Athlon Press, 1960. Pp. xi + 215. Manitius K. In Arati et Eudoxi Phaenomena commentariorum libri tres. Leipzig: B. G. Teubner, 1894. 376 S. Notes[edit] ^ C. M. Linton (2004). From Eudoxus to Einstein: a history of
mathematical astronomy. Cambridge University Press. p. 52.
ISBN 0-521-82750-7.
^ G J Toomer's chapter "
Bibliography[edit] Acerbi F. (2003). "On the shoulders of Hipparchus: A reappraisal of
ancient Greek combinatorics". Archive for History of Exact Sciences
57: 465–502.
Bianchetti S. (2001). "Dall’astronomia alla cartografia: Ipparco di
Nicea". ПОΙΚΙΛΜΑ. Studi in onore di Michelle R. Cataudella in
occasione del 60° compleanno. La Spezia: Agorà Edizioni: 145–156.
Bowen A.C., Goldstein B.R. (1991). "Hipparchus’ Treatment of Early
Greek Astronomy: The Case of Eudoxus and the Length of Daytime
Author(s)". Proceedings of the American Philosophical Society 135(2):
233-254.
Chapront J., Touze M. Chapront, Francou G. (2002): "A new
determination of lunar orbital parameters, precession constant, and
tidal acceleration from LLR measurements". Astronomy and Astrophysics
387: 700–709.
Dicks D.R. (1960). The Geographical Fragments of Hipparchus. London:
Athlon Press. Pp. xi, 215.
Diller A. (1934). "Geographical Latitudes in Eratosthenes, Hipparchus
and Posidonius". Klio 27(3): 258–269.
Duke D.W. (2002). "Associations between the ancient star catalogs".
Archive for the History of Exact Sciences 56(5):435–450. (Author's
draft here.)
Honigmann E. (1929). Die sieben Klimata und die πολεις
επισημοι. Eine Untersuchung zur Geschichte der Geographie und
Astrologie in Altertum und Mittelalter. Heidelberg: Carl Winter’s
Universitätsbuchhandlung. 247 S.
Jones A. (2001). "Hipparchus." In Encyclopedia of Astronomy and
Astrophysics. Nature Publishing Group.
Moore P. (1994). Atlas of the Universe, Octopus Publishing Group LTD
(Slovene translation and completion by Tomaž Zwitter and Savina
Zwitter (1999): Atlas vesolja): 225.
Nadal R., Brunet J.P. (1984). "Le "Commentaire" d'Hipparque. I. La
sphère mobile. Archive for History of Exact Sciences 29: 201–236.
Neugebauer O. (1975). A History of Ancient Mathematical Astronomy.
Vol. 1-3. Berlin, Heidelberg, New York: Springer Verlag.
Newton R.R. (1977). The Crime of Claudius Ptolemy. Baltimore: Johns
Hopkins University Press.
Rawlins D. (1982). An Investigation of the Ancient
Further reading[edit] Dreyer, John L.E (1953). A History of Astronomy from
External links[edit] This article's use of external links may not follow's policies or guidelines. Please improve this article by removing excessive or inappropriate external links, and converting useful links where appropriate into footnote references. (May 2017) (Learn how and when to remove this template message) Wikimedia Commons has media related to Hipparchus. General[edit] O'Connor, John J.; Robertson, Edmund F., "Hipparchus", MacTutor
History of Mathematics archive, University of St Andrews .
Biographical page at the University of Cambridge
University of Cambridge's Page about Hipparchus's sole surviving work
Biographical page at the University of Oregon
Biography of
Precession[edit] David Ulansey about Hipparchus's understanding of the precession Celestial bodies[edit] M44 Praesepe at SEDS, University of Arizona
A brief view by Carmen Rush on Hipparchus' stellar catalog v t e
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