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Ptolemaeus Arabus et Latinus

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Vatican, Biblioteca Apostolica Vaticana, Barb. lat. 304

s. XVI2 (between 1553 and 1561, including lectures given in 1557 and 1558, cf. f. 187v, 205r and 207v).

Or.:

notebook of Baldassare Torres (d. 1561), professor of mathematics at the Collegio Romano in Rome.

Paper, 172 f. foliated 122-293 (f. 171 missing in foliation), one main hand.

Texts and notes in Latin and Spanish in great disorder, mainly of mathematics, physics, astronomy and medicine: ‘Annotationes in 7 Euclidis’ (122r-122v); Archimedes, Tractatus de incidentibus in humidum corporibus (124r-141v, with diagrams 160r-162v); chapter index of Proclus’s De motu (142r-142v); notes in Spanish and Latin (144r-146r); Ptolemaica (150r-160r); notes and diagrams of geometry (160r-162v, see supra, f. 124-141), including ‘in librum Ptolemei de analemate’ (162r); ‘Index librorum manuscriptorum Grecorum in Carpenti Bibliothecha’ (163r-163v); notes of medicine (168r-169v); astronomical/geographical notes about Spain, in Spanish (170r-170v); notes of geometry and astronomy in Latin and Spanish (172r-175v); ‘Electuarium melancholicus utile’ (176r); ‘Discorso sopra l’arte del algebra’ (176r-179v); ‘Ex Fernelii libro de temperamentis et elementis’ (180r-185v); notes of geometry, astronomy and medicine (186r-186v); ‘Conclusiones generales in astronomiam, figuram et magnitudinem terre’ (187r); ‘Lectiones geometriae anni 1557’ (187v-190r); ‘Si tempus meum propositum 1539, menses 4, dies 16, h<ore> 5…’ (194r-194v); ‘Quod ad horologiorum rationem pertinent…’ (195r-204v); notes on the dog-days (205r); ‘Horologiorum lectiones anni 1558’ (205r-206r); ‘Horologiorum liber primus in summam et capita redactus’ (206v-207v); ‘Anni 1558 in collegio Societatis Iesu de ratione horologiorum praefatio’ (207v-208v, 213v-216v, 218v-220v and 240r-247v), interspersed with scattered notes on various topics in Latin and Spanish (209r-213r, 217r-218r, 221r-239v, 249v and 252v-254v); ‘De modo instituendis confessionis quae octavo quoque die a nostris fieri debet et aliis etiam accomodari possit’ (255r-259r); scattered notes in Spanish and Latin (259v-273v); alphabetical index to the MS (274r-291r); list of books (292v). Blank: 123r, 143, 145r, 146v-149v, 164-167 (except for notes in Italian f. 165r), 176v, 190v-193v, 210v, 231v, 248r-249r, 250r-252r, 291v-292r, 293.

Lit.

Inventarium codicum manuscriptorum Bibliothecae Barberinae (handwritten catalogue), I, 398-399; P. L. Rose, The Italian Renaissance of Mathematics. Studies on Humanists and Mathematicians from Petrarch to Galileo, Geneva, 1975, 197-198; J. Guerola Olivares, El Collegio Romano I els orígens de la trigonometria: De l’Analemma de Ptolemeu a la gnomonica de Clavius, PhD dissertation, Universitat Autònoma de Barcelona, 2018, 29-33.

150r‑160r

‘Claudii Ptholemei liber de analemmate. Consideranti mihi, o Syre, angulorum acceptorum in locum gnomonicum quid rationale et quid non, habitum quidem virorum illorum in lineis accidit admirari et in hiis et valde acceptare — horarii autem ad eum qui secundum verticem, descensivi autem ad horizontem. Habent autem et canones ita’ (followed by the table ‘Cancri principii horarum 13’).

= Ptolemy, Liber de analemmate (tr. William of Moerbeke) (A.5.1)

. Glosses by the scribe, substantial on f. 150v-151r.