An ‘expositio’ of Ptolemy’s tables and propositions on sines and chords (Almagest I.9-11) written in 1443 by Paul of Gerresheim [Düsseldorf] at the University of Cologne, where he matriculated in 1422, received his master of arts in 1440 and was elected rector in 1442. Paul used the Almagesti minor (C.1.4). MS Brussels, BR, 1022-1047 is the autograph copy.

Text ‘(Brussels, BR, 1022-1047) Expositio practice tabule tabularum et propositionum Ptolomei pro compositione tabule sinuum et cordarum necessariarum, facta pro simplicibus per me Paulum de Gherisheym. Necessitatem et utilitatem tabule sinuum et cordarum astronomorum signifer Ptolomeus ostendit in prima dictione sui Almagesti — (196r) tabule sinuum et cordarum. Sequitur nunc ipsa tabula rectificata anno domini 1443’ (followed by the table f. 196v-197v).

Bibl. R. Lorch, ‘Some Remarks on the Almagestum parvum’, in Amphora. Festschrift für Hans Wussing zu seinem 65. Geburtstag, eds S. S. Demidov, M. Folkerts et al., Basel-Boston-Berlin, 1992, 407-438: 422 (reprinted in R. Lorch, Arabic Mathematical Sciences. Instruments, Texts, Transmission, Farnham-Burlington, 1995, V); H. Zepeda, The First Latin Treatise on Ptolemy’s Astronomy: The Almagesti minor (c. 1200), Turnhout, 2018, 108-109. Most biographical information on Paul of Gerresheim has been gathered in Manuscrits datés conservés en Belgique, III: 1441-1460, eds F. Masai, M. Wittek, Bruxelles-Gand, 1978, 20 (no. 237).

Modern ed. ---