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Ptolemaeus

Arabus et Latinus

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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.

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;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. 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; 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.

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.’

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