Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004ahes...58..381n&link_type=abstract
Archive for History of Exact Sciences (ISSN 0003-9519), Vol. 58, No. 5, p. 381 - 436 (2004)
Astronomy and Astrophysics
Astronomy
History Of Astronomy
Scientific paper
The Spherics were written by Menelaos in the form of a purely mathematical treatise. However, the material developed in the second and third book is closely linked to problems met in astronomy: computation of equatorial coordinates of the Sun, setting up of rising-time tables, study of the motion of the Sun in the sphaera obliqua, simultaneous risings. This link, which remains implicit in the text, was clearly displayed by two arabo-islamic mathematicians and astronomers, who expounded the astronomical meaning of some theorems of the Spherics. We describe, comment and complement their explanations, by classifying the implications of the theorems in three groups: direction of variation of some quantities on the sphere, spherical trigonometry and applications, direction of variation of ratios of some quantities on the sphere. An erratum to this article can be found at http://dx.doi.org/10.1007/s00407-004-0084-7
Nadal Robert
Pinel Pierre
Taha Abdelkaddous
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