This article by Professor Sevim Tekeli, a leading historian of science in the Ottoman period, deals with an aspect of the work of Taqi al-Din Ibn Ma'ruf in trigonometry, a mathematical discipline which studies the relationships between the sides and the angles of triangles and the trigonometric functions which describe those relationships. Approaching Taqi al-Din's work through modern methods of notation, his mathematical method in extracting the Cord 1o or Cord 2o is fully disclosed. The author shows the originality of Ibn Ma'ruf's discovery and states how it constituted a progress with regard to his predecessors, in Greek and Islamic mathematics.
Taqi al Din Ibn Ma’ruf 's Work on Extracting the Cord 2<sup>o</sup> and Sin 1<sup>o</sup>
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Figure 1. The Tabula Rogeriana, drawn by al-Idrisi for Roger II of Sicily in 1154, one of the most advanced ancient world maps. Modern consolidation, created from the 70 double-page spreads of the original atlas. (Source)
Figure 1: Muslim expansion by the end of Umayyad rule in 750. (Source).
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