Città del Vaticano, Biblioteca Apostolica Vaticana, Vat.lat.4606

Century	13/14 \| 14 med.
Language	Latin
Subject 1	Mathematik
Material	chart.
Format	4 \| f
Height × width	254 x 195
No. of leaves	122 \| 124
Numbering	ff. ant. 1-36, 44-126
Condition	laceratum
No. of hands	1
Type of writing	Gothic
No. of columns	1 col.
Lineation	ff.1-31: ink-ruled, 175 x 125 mm., 37 lines; ff.32-36: ink-ruled, 175 x 135-40 mm., 38 lines; ff.52-107: press-ruled, 170 x 123 mm., 34 lines; ff.109-121: ink-ruled, 185-95 x 130-38 mm., 40-43 lines;
Ink	brown
Initials etc.	with initials and titles in red, capitals lined in red
Marginal annotations	many marginal diagrams; edges badly worn and waterstained; fols. 1-31, 52-56, 67-73, 90-93, 106-114 restored in a modern paper matrix;
Coats of arms	modern vellum covers stamped with arms;
Printed catalogs	Biblioteca Apostolica Vaticana, Sala. Cons. Mss.305 (ET. ROSS A) p.323 \| Van Egmond, W.: Practical Mathematics in the Italian Renaissance, Florenz, 1980, S.220/221;
Publ. descriptions	Thorndike, L.: Vatican Latin mss., 1929, S.81; Clagett, M.: in Manuscripta 3, S.29; Clagett, M.: Check list, S.379; Boncompagni, Della vita ... Gh. Crem., S.411ff.; Verzeichnis Van Egmond; Björnbo, A. A.: Gerh. v. Cremonas Übers., S.239; Hughes, Jordanus, 1981, S.52 A.49;
Source	Biblioteca Apostolica Vaticana, Sala. Cons. Mss.305 (ET. ROSS A) p.323 \| Katalog Folkerts
Type of source	cat. \| cat.(ms.)

Work 1	Title (ms.)	Arithmetica
	Title (standard)	Tractatus de Abbaci (? frag.)
	Contents	contents: Miscellaneous abacus problems
	Incipit	... sic pro eo quod positum est primum ho<min>em habens ... \| Sunt iterum tres
	Additional remarks	Anonymus \| sine principio
	Folio no.	1-32 \| 1r-36v
	Explicit	et sic studias in similibus solutionem reperire
	Blank leaves	blank: f.37r, 39v, 44r-51v;
	Additional information	f.37v-39r: Five problems in later hands;
Work 2	Author standard	Leonardo Pisano
	Title (ms.)	Flos floris de reperiendis radicibus quadratorum. sive cuborum
	Title (standard)	Liber Abbaci, Chapter 14 (?) \| Liber Flos.
	Incipit	De radicum capitulo \| De radicum capitulo quedam necessaria que claves dicuntur tractare curavi ...
	Incipit 2	Incipit liber flos, floris et totius artis quadrivii fons et origo, scilicet de reperiendis radicibus quadratorum sive cuborum ...
	Additional remarks	Anonymus
	Folio no.	32-72 \| 52r-71v
	Explicit	sed cum in tractatu quadratorum contineatur quemadmodum in eis agere debeamus. huic capitulo finem imponimus.
	Additional texts	A free copy of Chapter 14 of Leonardo Pisano, Liber Abbaci, pp.352-387 in Baldassarre Boncompagni (ed.), Scritti di Leonardo Pisano, Vol.I (Roma, 1857);
	Additional copies	Italian translation in Urb. Lat. 291, ff.1r-33v;
Work 3	Author standard	Al-Khwarizmi \| Gerardus Cremonensis
	Title (ms.)	Algebra Arithmetica
	Title (standard)	Algebra \| Algebra Arithmetica \| Liber Algebra et Almucabala
	Incipit	Incipit liber qui secundum arabes vocatur algebra et almucabala, et quod nos liber restauracionis nominatur, et fuit translatus a magistro Guirardo cremonense in Toleto de arabico in Latinum
	Incipit 2	Unitas est principium \| Unitas est principium numeri et non est numerus. Numerus enim est collectio unitatum.
	Publ. descriptions	Baldassare Boncompagni, `Della vita e delle opere di Gerardo Cremonese', Atti dell'Accademia Pontifica de' Nuovi Lincei, 4 (1850-51), 412-435;
	Printed copies	Ediert von Boncompagni
	Folio no.	72ff. \| 72r-76v \| 72r-77r.11
	Explicit	Formatis ad hunc modum variis questionibus ex predictis regulis inveniatur solveto.
	Additional copies	Italian translation in Urb. Lat. 291, ff.34r-41v;
	T & K	TK 1601.3
Work 4	Author standard	Leonardo Pisano
	Title (standard)	Liber Abbaci, Ch.15, Pt.3 (?)
	Contents	ff.77-95 correspond to pages 406-459 in Boncompagni edition, op. cit.; ff.96-98 are an additional set of problems and a list of higher order equations.
	Incipit	In computatione quidem algebre et almucabale tres proprietates que sunt in quolibet numero considerantur, ...
	Incipit 2	Cum predictis 6 capitulis possunt solutiones infinitarum questionum reperire. Set oportet eos qui secundum hunc modum procedere volunt scire diligenter ...
	Folio no.	77r.12-98r.18
	Explicit	et similiter accipe radicem de eo qui in questione est, et sit tibi in memoriam semper de hoc in omnibus questionibus.
	Additional copies	Italian translation of 77r-89v in Urb. Lat. 291, ff.42r-63r;
Work 5	Author standard	Leonardo Pisano
	Title (standard)	Liber Abbaci, Ch.15, Pt.1 (?)
	Contents	Corresponds to pages 387-405 in the Boncompagni edition, op. cit.
	Incipit	Sunt primum 3 numeri proporcionales .ab.bc.cd. secundum proporcionem continuam, scilicet ut .ab. ad .bc. ita .bc. ad .cd. ...
	Incipit 2	Postquam dictum est super modum algebre de diversis questionibus, tractandum est de proporcionibus trium et quatuor quantitatum, ad quas proporciones multas questiones geometrie et eciam arismetice rediguntur, cuius utilitas comprehenditur cum maximo intellectu.
	Folio no.	98r.19-107v
	Explicit	Ergo precium libre est denari 1, quare precium melioris libre est dr. 2, que sunt lb. 6.
	Additional texts	f.108v: a problem in a later hand
	Blank leaves	blank: f.108r
	Additional copies	Italian translation in Urb. Lat.291, ff.121r-132v
Work 6	Author (ms.)	P. de R. Civis Januensis
	Author standard	P. de R. Civis Januensis \| P. de R. da Genova
	Additional names	Euclides
	Title (ms.)	De Geometria \| Tractatus super practicam geometrie
	Title (standard)	Tractatus super practicam geometrie
	Incipit	Cum enim creare sit \| Cum enim creare sit aliquid de nichilo facere vel demonstrare, aut de existenti materia secundum quorundam phylo<so>forum sentenciam, inde ego P. de R. civis ianuensis exemplo peritorum et parvula mei sciencia super artem geometrie ...
	Incipit 2	Incipit tractatus super practicam geometrie
	Additional remarks	in qua utitur textu Euclidis , eiusque demonstrationibus
	Folio no.	109-124 \| 109r-121v
	Explicit	quo usque ad nichilum redigatur, et hoc intelligatur in corporibus solidis sive spisis
	Blank leaves	f.123r, 125r-126v: blank
	Additional copies	Italian translation in Urb. Lat. 291, ff.133r-146v;
	Additional information	f.122r: table of powers, n^2 to n^5 for n=1-23; f.122v: a problem in a later hand; f.123v-124v: `a partire per 100' (in a later hand);