Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006ahes...60..353v&link_type=abstract
Archive for History of Exact Sciences (ISSN 0003-9519), Vol. 60, No. 4, p. 353 - 377 (2006)
Astronomy and Astrophysics
Astronomy
History Of Astronomy, Planets: Motions
Scientific paper
In terms of complexity, planetary latitudes are the culmination of Ptolemy's mathematical astronomy. Al-Kashi's remarkable system removes its mathematical flaws, and demonstrates that Muslim astronomers not only mastered this apex of Ptolemaic astronomy, but also perfected its mathematics. The remainder of this paper is devoted first to a brief description of the mathematics of Ptolemy's latitude model, and then to a technical account of the part of the Khaqani Zij devoted to al-Kashi's spherical approach. Al-Kashi's text falls roughly into three sections: a geometrical description of the spherical model, a mathematical discussion of how one might generate planetary positions from it, and a sample calculation for Venus. A translation by Sergei Tourkin of the passage in which al-Kashi describes the geometric structure of his model may be found in an appendix.
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