Arabic Mathematical Sciences

Richard Lorch, University of Munich, Germany

Contents: The Arabic transmission of Archimedes' Sphere and Cylinder and Eutocius' commentary; Some geometrical theorems attributed to Archimedes and their appearance in the West (with M. Folkerts) ; Remarks on Greek mathematical texts in Arabic; A note on the technical vocabulary in Eratosthenes' tract on mean proportionals; Some remarks on the Almagestum parvum; The astronomy of Jabir ibn Aflah; Appendix 1 to item VI: the manuscripts of Jabir's treatise; Appendix 2 to item VI: Jabir ibn Aflah and the establishment of trigonometry in the West; Abu Kamil on the pentagon and decagon; Pseudo-Euclid on the position of the image in reflection: interpretations by an anonymous commentator, by Pena and by Kepler; Al-Khazini's ’Sphere that rotates by itself’; The sphaera solida and related instruments; Habash al-Hasib's book on the sphere and its use (with P. Kunitzsch) ; The Qibla-Table attributed to Al-Khazini; Al-Khazini's balance-clock and the Chinese steelyard Clepsydra; The astronomical instruments of Jabir ibn Aflah and the Torquetum; A note on the horary quadrant; Al-Saghani's treatise on projecting the sphere; Addenda et corrigenda; Index.