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Berlin, Staatsbibliothek Preußischer Kulturbesitz, lat. qu. 526

s. XIII^ex-XIVⁱⁿ (for f. 1-45; f. 47-52 date from or after 1310, cf. Folkerts, ‘Eine bisher unbekannte Abhandlung’, 437-438).

Or.:

‘Italian or southern’ (Pedersen), reference to Bordeaux f. 50v.

Prov.:

the MS belonged to one Baptista de Poleziis of Modena in 1480 (cf. inner front cover: ‘Iste liber est magistri Baptiste de Poleziis de Mutina ordinis predicatorum, quem emi pecuniis mihi ab ordine concessis anno domini 1480’); Thomas Phillipps (no. 896).

Parchment, 52 f., three neat hands (f. 1r-45v, 45v-46v and 47r-52v), painted initial f. 1r. Sections appear to be missing after f. 37 and after f. 52.

Astronomy and arithmetic: canons Cb of Toledan tables ‘Quoniam cuiusque actionis quantitatem…’ (1r-25r); other canons (25v-46v), including ‘De eclipse Lune invenienda. Cum volueris eclipsim Lune invenire, intra cum argumento Lune equato…’ (34v-35v), Ptolemaica (35v), ‘Ad inveniendum diversitatem aspectus Lune tam in longitudine quam in latitudine per … (?). Si volueris scire arcum distantie loci Lune…’ (36r-37r), Ptolemaica (37r-37v), ‘Item de proiectione radiorum planetarum. In trahendis stellarum radiis per ortum signorum…’ (37v), and ‘Ad inveniendum horam coniunctionis duorum planetarum. Alkiren est duarum stellarum vel plurium in eodem puncto conventus…’, first lines only due to missing folia (37v); Alexander of Villedieu, Carmen de algorismo (47r-50v); Johannes de Elsa of Bordeaux, calculation instrument ‘Iohannes de Elsa canonicus et magister scolarum Burdegalensis [Bordeaux] invenit hoc opus. Inveni quendam modum apertius et facilius computandi…’ (50v-51v, ed. Folkerts, ‘Eine bisher unbekannte Abhandlung’, 442-445), incomplete text on fractions ‘Numeri parcium denominatos possunt fieri…’ (52r-52v).

Bibl. M. Folkerts, ‘Mittelalterliche mathematische Handschriften in westlichen Sprachen in der Berliner Staatsbibliothek. Ein vorläufiges Verzeichnis’, in Mathematical Perspectives. Essays on Mathematics and Its Historical Development Presented to Kurt-Reinhard Biermann on the Occasion of His 60^th Birthday, ed. J. W. Dauben, New York, 1981, 53-93: 72-73; M. Folkerts, ‘Eine bisher unbekannte Abhandlung über das Rechenbrett aus dem Beginnende 14. Jahrhundert’, Historia Mathematica 10 (1983), 435-447: 437; F. S. Pedersen, The Toledan Tables. A Review of the Manuscripts and the Textual Versions with an Edition, København, 2002, I, 93-94.

35v	‘Hoc habitum est ex libro qui incipit Omnium recte philosophantium. Theon Alexandrinus tabulas diversitas aspectus in longitudine et latitudine composuit — sicut in opera Ptolomei positus fuerit.’ = Almagesti minor (C.1.4) . No glosses.
37r–⁠37v	‘Cum proiectionem radiorum stellarum scire volueris, scias gradum ascendentis — erit locus radiationis equate.’ = Pseudo-Ptolemy, Liber proiectionis radiorum stellarum (B.6) . Glosses by the scribe.