Paper, 385 f., one main hand (Johannes Vögelin ).

Mathematics, astronomy, optics and geography: table of contents in Vögelin’s hand (1r); ‘Regulae cosae vel algobre. Conditiones cira + vel – in additione…’ (2r-33r); ‘Sequitur ingeniosa ratio investigandi calculo annulum…’ (33v); ‘Modus preparandi virgam visoriam cubicam…’ (34r-36r); ‘Algorithmus de surdis quadratorum. In hoc algarithmo (!) quolibet…’ (37v); Levi ben Gerson, De sinibus, chordis et arcubus (38r-65v); notes by Vögelin, including onomancy ‘Scribe primo nomina ipsorum…’ and ‘Trapezuntium in Almagestum capitulo nono. Scientia chordarum…’ (66r); John of Gmunden, Compositio quadrantis novi seu magni cum eius practica (68r-90v); Ptolemaica (92r-100v); De inquisitione capacitatis (101r-110r); Pseudo-Messahallah, De compositione astrolabii, first part on construction, c. 17-18 ‘Proiectio sphaerae in planum. Concussio sive extensio immo potius proiectio sphaerae in planum…’ (110v-117r); astrological note ‘Ad cognoscendum omni die qualis sit aura, accipe a Sole in Saturnum…’ (117v); ‘Si quis voluerit componere torquetum, accipiat laminam de quacumque materia…’ (118r-119r); Franco de Polonia, Tractatus de turketo, incomplete (119r-123v); comm. on Jordanus de Nemore’s Elementa super demonstrationem ponderum (130r-137v); ‘Incipit tractatus specialis de modo demonstrandi iridem esse circularem secundum modum Aristotelis tertio Metheororum, quo continuatur et declaratur textus et demonstratio Aristotelis. Quod autem neque circulum…’ (137v-151r); De tribus notis (151v-154r); geometry ‘Artis cuiuslibet consummatio…’ (154r-164v); Jordanus de Nemore, De plana spera (164v-167v); Campanus of Novara, De proportione et proportionalitate (168r-170v); Menelaus, Spherica (171r-185r); Gernardus, Algorismus demonstratus (199r-223v); Tractatus de speculo parabolico ‘Parabolicum speculum est cuius superficiem concavam describit…’ (224r-230r); Zenodorus, De isoperimetris (231r-236v); notes on Alfraganus’s De scientia astrorum, c. 22-30 (237r-241v); scattered notes of arithmetic and astronomy in Latin and German (241v-246v), including a note on Almagest, V.15 ‘Circa caput decimum quintum libri quinti Magnae compositionis…’ (242r); ‘Instrumentum quo maximus dies discitur in qualibet regione cognita eius elevatione polari. Ptolemeus et in sua Magna compositione et in Geographia…’ (247v-248v); notes on Ptolemy’s Geographia (249r-270r); Claudius Clavus, geographical coordinates of northern-European cities and places (271r-276r, ed. Björnbo/Petersen, 216-233); notes on Ptolemy’s Geographia and related topics (276r-281r), including ‘De lineis semper appropinquantibus et nunquam concurrentibus. Omnium punctorum duorum in superficie…’ (276v-277r) and ‘Circa proportionies irrationales annotata. Omnis proportio rationalis vel est primaria…’ (277v-278r); ‘De diffinitionibus sinuum secundum Io<hannem> Blanchini’ (283r-284v); ‘Compositio tabulae sinus. Ex quo scientia sinuum necessaria est…’ (287r-287v), with table ‘Sequitur tabula sinus magistri Georgii de Peurbach’ (287v-289v); Tres Fratres Filii Moysi [Banū Mūsā], Verba filiorum Moysi filii Sekir, incomplete (297v-298v); medical recipes and notes in Latin and German (290r-296r); ‘Tabulam minutorum proportionalium componere…’ (296v-298v); Pseudo-Thebit Bencora, De motu octave spere (299r-302r); Ptolemaica (302r-305v); Thebit Bencora, De recta imaginatione spere et circulorum eius diversorum (305v-307r); Ametus filius Josephi [Aḥmad ibn Yūsuf], Liber de proportione et proportionalitate (307v-320v); Jordanus de Nemore, De numeris datis, reworked (320v-327r) and followed by a commentary (327r-331r); ‘Pro regularum algabre cognitione est primo notandum quando duo signa…’ (331r-334v); Nicole Oresme, Algorismus proportionum (335r-336v); ‘Algorithmus quadratorum a quadratis. Reliquarumque ductionum…’ (337r-338v); scattered notes (339r); geographical coordinates of cities, with notes (340r-341r); ‘Horologium horarum inaequalium. Ad faciendum horologium horarum inaequalium…’ (341r-342r); notes of geometry (342r-343v); notes on Thomas Bradwardine’s Geometria speculativa (343v-346r); ‘Vögelin scribebat et inveniebat. Progressionum summas cupienti scire quaedam…’ (347r-349r); diagrams and notes of geometry and optics (351r-360v); comm. on Melenaus’s Spherica ‘Omnis trianguli ex arcubus circulorum magnorum super superficiem… Expletus est translatus tertius libri Milei de sphericis et cum eius expletione completus est totius liber eius’ (361r-378v); ‘Exempla super algorithmum de surdis’ (379r-381r); ‘Hec infrascripta scholia pertinent ad Mileum’ (381v-382r, cf. 361r-378v above); ‘De aliquibus speciebus cubicorum…’ (382r-382v); ‘Ars binomalis. Divisiones linearum ponere…’ (382v-384v); ‘Compositio instrumenti quo ad veram coniunctionem Solis et Lunae’ (385r-385v). Blank: 1v, 36v-37r, 66v-67v, 91, 124-129, 185v-198v, 230v, 247r, 270v, 281v-282v, 285-286v, 339v, 346v, 349v-350.

Bibl. Tabulae codicum manu scriptorum praeter Graecos et Orientales in Bibliotheca Palatina Vindobonensi asservatorum, IV: Cod. 5001-6500, Wien, 1870, 82-85; A. A. Björnbo, Studien über Menelaos’ Sphärik. Beitrage zur Geschichte der Sphärik und Trigonometrie der Griechen, Leipzig, 1902, 146; A. A. Björnbo, C. S. Petersen, Der Däne Claudius Claussøn Swart (Claudius Clavus). Der älteste Kartograph des Nordens, der erste Ptolemäus-Epigon der Renaissance, Innsbruck, 1909, 45-47; Katalog der datierten Handschriften in lateinischer Schrift in Österreich, IV: F. Unterkircher, Die datierten Handschriften der Österreichischen Nationalbibliothek von 1501 bis 1600, I, Wien, 1976, 51; B. B. Hughes, Jordanus de Nemore: De numeris datis, Berkeley-Los Angeles-London, 1981, 44; 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: 81.