Project icon: lavishly furnished initial letter with a painting of Ptolemy using an astrolab.

Ptolemaeus Arabus et Latinus

_ (the underscore) is the placeholder for exactly one character.
% (the percent sign) is the placeholder for no, one or more than one character.
%% (two percent signs) is the placeholder for no, one or more than one character, but not for blank space (so that a search ends at word boundaries).

At the beginning and at the end, these placeholders are superfluous.

Vienna, Österreichische Nationalbibliothek, 5203

s. XV2 (c. 1454-1462).

Or.:

Regiomontanus’s notebook, copied mainly in his hand (with a few pages copied by Peurbach) at the University of Vienna.

Prov.:

Regiomontanus; Bernhard Walther; Johannes Schöner, who assembled the volume from Regiomontanus’s library, foliated it, and added the table of contents (f. 1r) and many titles throughout; Philipp Eduard Fugger (1546-1618).

Paper, 180 f., one main hand (Regiomontanus), except for (1) f. 67-69 and 88-92, copied by Peurchach; (2) f. 79-86, copied by a third hand.

Astronomy, astrology, music, mathematics and physics: table of contents by Johannes Schöner (1r); Peurbach, Theoricae novae planetarum (2r-24r); ‘De tabula sinus et chordarum. Fecere maiores nostri sinus et cordarum tabulas…’ (28r-32v); ‘Tabula radicum et numerorum quadratorum’, incompletely filled (33r-41v); ‘Quadratum geometricum. Sit instrumentum rectangulum abc cuius duo latera…’ (42r, with tables 42v-44v); ‘Alpetragus opinabatur omnes orbes celestes ab oriente in occidentem moveri…’ (45r-47v); ‘Tabula radicum et numerorum cubicorum’, incompletely filled (48r-50r); mathematical notes (53v); ‘Compositio tabule altitudinis Solis ad omnes horas. Cum diu saepe dubitarem an tabella que Solis altitudines ad horam…’ (54r-58v); Peurbach, Fabrica et usus instrumenti pro veris coniunctionibus et oppositionibus Solis et Lune ‘Cum animadvertissem quoddam instrumentum pro veris coniunctionibus facile reperiendis…’ (67r-69v); ‘De equationibus dierum. Anno domini 1456to currente Sol intrabit augem suam…’ (70r-71v); ‘Sinum totum ad sinum arcum ecliptice ab aliquo puncto…’ (79r-80v); ‘Instrumentum universale ad inveniendum horas in quocumque climate fueris fabricare, primo in material aut metalli…’ (80v-86r); Peurbach, Speculum planetarum ‘Quoniam experimentum sermonum verorum est ut consonent…’ (88r-92r); Henry of Langenstein, De reprobatione eccentricorum et epiciclorum (100r-117r); ‘De influxu celesti et iudiciis utilia. Primum celi quedam influunt Lune motu ac influxu…’ (117v-118v); Petrus de Sancto Audomaro, Semissa, c. 9 ‘Theorica latitudinum planetarum. Theorica motus planetarum in latitudine…’ (119r-120r); Ptolemaica (124r-128r); notes on music and geometry (128r-128v); John of Murs, Musica speculativa (129r-133r); ‘De astronomia et astrologia et cyromantia. Astronomia et astrologia in hoc differre videntur…’ (133v-134v); ‘De proportionibus. Datis extremis duobus media inter eos…’ (136r-137r); Jordanus of Nemore, De plana spera (137v-140v); Apollonius, Liber de pyramidibus (141r-141v); Zenodorus, De isoperimetris (142r-146r); Gernardus, Algorismus demonstratus (148r-166v); notes on arithmetic (167r-168r); Thebit Bencora, Liber carastonis (172r-173v); Jordanus of Nemore, Elementa super demonstrationem ponderum (174r-178v); Liber de canonio (178v-180v). Blank: 1v, 24v-27v (except for the draft of a table and notes by Regiomontanus f. 26r-26v), 50v-53r, 59-66 (except for an incomplete astronomical diagram f. 66v), 72-78, 86v-87v, 92v-99v, 120v-123v, 135, 146v-147v, 168v-171v.

Lit.

Tabulae codicum manu scriptorum praeter Graecos et Orientales in Bibliotheca Palatina Vindobonensi asservatorum, IV: Cod. 5001-6500, Wien, 1870, 56-57; Katalog der datierten Handschriften in lateinischer Schrift in Österreich, III: F. Unterkircher, Die datierten Handschriften der österreichischen Nationalbibliothek von 1451 bis 1500, I, Wien, 1974, 210; M. Folkerts, ‘Die mathematischen Studien Regiomontans in seiner Wiener Zeit’, in Regiomontanus-Studien, ed. G. Hamann, Wien, 1980 (reprinted in M. Folkerts, The Development of Mathematics in Medieval Europe, Aldershot, 2006, V), 175-209: 176-186; F. S. Pedersen, Petri Philomenae de Dacia et Petri de S. Audomaro opera quadrivalia, København, 1983-1984, II, 659-660; E. Zinner, Regiomontanus: His Life and Work, Amsterdam-New York-Oxford-Tokyo, 1990 (tr. from Leben und Wirken des Joh. Müller von Köningsberg, genannt Regiomontanus, Osnabrück, 1968, with supplements), 203-204 (no. 30); M. Franz, ‘Die Handschriften aus dem Besitz des Philipp Eduard Fugger mit Berücksichtigung der Handschriften des Johannes Schöner in der Österreichischen Nationalbibliothek’, Codices Manuscripti 14 (1988), 61-133: 77; M. Folkerts, ‘New Results on the Mathematical Activity of Regiomontanus’, in E. Zinner, Regiomontanus: His Life and Work, Amsterdam-New York-Oxford-Tokyo, 1990 (tr. from Leben und Wirken des Joh. Müller von Köningsberg, genannt Regiomontanus, Osnabrück, 1968, with supplements), 363-372: 366-367; M. Maruska, ‘Die Handschriften aus der Bibliothek des fränkischen Gelehrten Johannes Schöner in der Österreichischen Nationalbibliothek’, in Aspekte der Bildungs- und Universitätsgeschichte. 16. bis 19. Jahrhundert, eds K. Mühlberger, T. Maisel, Wien, 1993, 409-435: 421-422; M. Maruska, Johannes Schöner – ‘Homo est nescio qualis’. Leben und Werk eines fränkischen Wissenschafters an der Wende vom 15. zum 16. Jahrundert, PhD dissertation, Universität Wien, 2008, 97; M. Malpangotto, ‘Les premiers manuscrits des Theoricae novae planetarum de Georg Peurbach: présentation, description, évolution d’un ouvrage’, Revue d’Histoire des Sciences 65 (2012), 339-380: 344-346 and passim; M. Malpangotto, Theoricae novae planetarum Georgii Peurbachii dans l’histoire de l’astronomie, Paris, 2020, 648-649.

124r‑128r

Images

‘Tractatus sinuum et chordarum Georgii Peurbachii. Sinuum, cordarum et arcuum noticia ad celestium motuum cognitionem pervalde necessaria existit, ideo de eorum doctrina restat in presenti perquirendum — Et similiter sciemus quantitates reliquarum chordarum, facilis ergo est secundum premissorum tenorem cordarum ad suos arcus cognitio. Finis.’

= Georg Peurbach, Tractatus super propositiones Ptolemei de sinubus et chordis (C.1.20). One gloss f. 124v, apparently by the scribe (Regiomontanus).