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Ptolemaeus

Arabus et Latinus

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Work C.1.12

Giovanni Bianchini
Flores Almagesti

Text ‘(Bologna, BU, 198) (3r-15v) [I] Tractatus primus de arismetrica per Ioannem de Blanchinis. Liber primus. Incipit proemium. <A>rismetrica dico quod determinatur per numeros, et duas noto diffinitiones numerorum — nec resultabit error sensibilis in aliquo calculo astrologiae. (16r-20v) [II] Tractatus secundus Ioannis de Blanchinis de demonstrationibus cum regulis aggregatis. Capitulum primum. De practica regularum argebrae. <I>n tota practica regularum argebre quattuor demonstrationibus — radix diminuta medietate cuborum valet res. (23r-32v) [III] Tractatus tertii Iohannis de Blanchinis. Diffinitiones. <S>i duo numeri ad invicem multiplicentur et productum per primum multiplicantem — versus protionis ae, quod est ultima conclusio. (32v-36v) [IV] Tractatus quartus [title in top margin]. Primum. <O>mnes recte linee et trianguli orthogonii inter lineas equedistantes — ex secundo in tertium et hoc patet per quartum huius tractatus. (37r-56v) [V] Tractatus Quintus. Liber primus. Incipiunt demonstrationes necessarie ad figuram sectoris libri primi. Primum. <S>i ab uno puncto angulari (?) due recte linee protrahantur — tractatus quarti huius fiet eadem conclusio. (57r-72v) [VI] Tractatus sextus Iohannis de Blanchinis. Liber primus. Distantiam centri deferentis Solis a centro mundi atque verum locum augis Solis demonstrative invenire. <D>escribam circulum zodiaci supra quem sit abql circa centrum — quod in eis accidit equale est iam demonstratis. (73r-102r) [VII] Tractatus septimus. Liber primus. Sequitur de secunda consideratione Abrachis per quam motus centri epicicli et Lunae in epiciclo contraria loca puncti reflexionis ostendit et quod in eis accidit equale est hi siam demonstratis, distantiam a centro mundi tunc ad arcum epicicli demonstrare. …it (?) autem Sol in hac secunda consideratione accepta per instrumentum — que precesserunt ut pluries dixi. (102r-109v) [VIII] Tractatus octavus. Liber primus. Satis mihi dixisse videtur de diversitate aspectus Lunae — quibus perficietur opus nutu Dei gloriosi. (110r-120r) [IX] Tractatus nonus. De inperfecta compositione tabularum hucusque observatarum pro diversitate aspectus Lune invenienda. In precedentibus demonstratum est diversitatem aspectus Lune — operare prout in sequentibus dabo exemplum eclipsis Lune future (?). (120r-125v) [X] Tractatus decimus [title in top margin]. Primum. Eclipsim Solis futuri que erit in anno 1460 a nativitate d<omini> de menso Iulii ad situm Ferarie perscrutari. Primo queram coniunctionem veram luminarium per tabulas de motibus planetarum alias per me constructas — et si excesserit minuta 50 erit grisium cum albedine.’

Content A series of ten treatises (with variations in the manuscripts), dealing with arithmetic (I), algebra (II), De proportionibus (III) and astronomical matters from the first six books of the Almagest (IV-X). The treatise division varies between the MSS.

Origin Written in Ferrara from 1440 to 1456. 1456 is given as ‘annus presens’ near the beginning of Tractatus VI. In Tractatus X, Bianchini predicts a solar eclipse for July 1460 on the basis of his own planetary tables.

Bibl. L. Birkenmajer, ‘Flores Almagesti. Ein angeblich verloren gegangener Traktat Giovanni Bianchini’s Mathematikers und Astronomen von Ferrara aus dem XV. Jahrhundert’, Bulletin International de l’Académie des Sciences de Cracovie, Classe des Sciences (1911), 268-278; L. Thorndike, ‘Giovanni Bianchini in Paris Manuscripts’, Scripta Mathematica 16 (1950), 5-12 and 169-180: 6-8 and 169-171; L. Thorndike, ‘Giovanni Bianchini in Italian Manuscripts’, Scripta Mathematica 19 (1953), 5-17: 10-13; G. Federici Vescovini, ‘Bianchini, Giovanni’, Dizionario biografico degli Italiani, 10 (1968), 194-196; G. Rosińska, ‘The ‘Italian Algebra’ in Latin and How it Spread to Central Europe: Giovanni Bianchini’s De Algebra (ca. 1440)’, Organon 26-27 (1997), 131-145; J. Chabás, B. R. Goldstein, The Astronomical Tables of Giovanni Bianchini, Leiden-Boston, 2009, 19; H. Zepeda, The Medieval Latin Transmission of the Menelaus Theorem, PhD Dissertation, University of Oklahoma at Norman, 2013, 323-329.

Ed. ---

MSS

Bologna, BU, 198 (293), s. XV, f. 3r-125v

Cracow, BJ, 558, s. XV, 1r-116rImages

Cracow, BJ, 601, s. XV, f. 62r-68v

Paris, BnF, lat. 10253, s. XV, f. 6r-138v

Perugia, BCA, 1004 (M. 27), s. XV, f. 1r-77r

Vatican, BAV, Reg. lat. 1904, s. XV-XVI, f. 1r-56r

Vatican, BAV, Vat. lat. 2228, s. XV, f. 16r-51v and 78r-120r