The Spherical Case of the Tūsī Couple

@article{Saliba1991TheSC,
  title={The Spherical Case of the Tūsī Couple},
  author={George Saliba and Edward S. Kennedy},
  journal={Arabic Sciences and Philosophy},
  year={1991},
  volume={1},
  pages={285 - 291}
}
In this article we study the development of the mathematical theorem, now known as the Tūsī Couple, and discuss the difference between its plane and spherical applications. Dans cet article, nous étudions le développement du théorème mathématique, connu maintenant sous le nom de ‘couple d'al-Tūsī’; et nous discutons la différence entre son application plane et son application sphérique. 
13 Citations
Copernicus, Amico, Fracastoro and Ṭūsī's Device: Observations on the Use and Transmission of a Model
L'A. etudie l'hypothese d'une transmission et d'une reception du mecanisme alternatif etabli par Al-Tūsī au XIII e siecle chez Copernic, Amico et Fracastor qui font respectivement reference a ce
Mathematics and Her Sisters in Medieval Islam: A Selective Review of Work Done from 1985 to 1995
Abstract This paper surveys work done over the past decade, largely in Western Europe and North America, in the history of the mathematical sciences as practiced in medieval Islam from central Asia
Taking latitude with ptolemy: Jamshid al-Kashi's novel geometric model of the motions of the inferior planets
The Almagest model of the motions of the planets is one of the monumental achievements in the history of science. Its ability to predict the locations of some planets to within a couple of degrees of
QUṬB AL-DĪN AL-SHĪRĀZĪ AND THE DEVELOPMENT OF NON-PTOLEMAIC PLANETARY MODELING IN THE 13th CENTURY
Coming after Muʾayyad al-Dīn al-ʿUrḍī (1200–1266) and Naṣīr al-Dīn al-Ṭūsī (1201–1274), Quṭb al-Dīn al-Shīrāzī (1236–1311), a leading figure of the so-called Marāgha school in astronomy, presents his
A forgotten solar model
This paper analyses a kinematic model for the solar motion by Quṭb al-Dīn al-Shīrāzī, a thirteenth-century Iranian astronomer at the Marāgha observatory in northwestern Iran. The purpose of this
Planetary latitudes in medieval Islamic astronomy: an analysis of the non-Ptolemaic latitude parameter values in the Maragha and Samarqand astronomical traditions
Some variants in the materials related to the planetary latitudes, including computational procedures, underlying parameters, numerical tables, and so on, may be addressed in the corpus of the
O UT OF M ARAGHA : O BSERVATIONS , T EACHINGS , AND T RANSLATIONS Out of Maragha of
This paper examines the context for the Greek translations and adaptions of Islamic astronomical works which came out of Maragha and Tabriz at the end of the thirteenth century. It discusses the
A Non-Ptolemaic Lunar Model From Fourteenth-Century Central Asia
As early as the ninth century, Muslim astronomers started refining the Ptolemaic astronomy which, by this time, had been fully adopted as the framework of their research. Already, in the early part
Historical Astronomy of the Caucasus: Sources from Georgia and Armenia
We present preliminary findings of a study of astronomical phenomena observed and extant in written sources from Georgia and Armenia. By way of background, we discuss prior research by Georgian and,
Ṣadr al‐Sharīʿa al‐Thānī: ʿUbaydallāh ibn Masʿūd al‐ Maḥbūbī
Ṣadr al‐Sharīʿa (al‐thānī, i. e., “the Second”) was a theoretical astronomer and religious scholar who created original and sophisticated astronomical theories of time and place, and under
...
...

References

SHOWING 1-3 OF 3 REFERENCES
The Astronomical Tradition Of Maragha: A Historical Survey And Prospects for Future Research
  • G. Saliba
  • Philosophy
    Arabic Sciences and Philosophy
  • 1991
This paper surveys the results established so far by the on-going research on the planetary theories in Arabic astronomy. The most important results of the Maragha astronomers are gathered here for
Late Medieval Planetary Theory
THIS PAPER IS an attempt to describe and discuss models for representing planetary motion developed in the thirteenth century or shortly thereafter. A series of four articles which have appeared in
Loth 747, fol. 169 r
  • fol. 246 r