PAL

Jordanus


Città del Vaticano, O, Cod. 1430

Century 14/15
Language Latin
Material Membr.
No. of columns c cols.
Printed catalogs John F. Daly, "Mathematics in the Codices Ottoboniani Latini", Manuscripta 8 (1964), 12-4
Source Daly
Type of source cat.
Source’s source insp.
Work 1Author standard Johannes de Sacrobosco | Petrus Philomenus de Dacia
Title (standard) Expositio super Algorismum
Incipit Omnia que a primeva, etc. In hoc tractatu determinatur de arte numerandi ...
Item no. 1
Folio no. 31ra-36rb
Explicit ... erat igitur numerus extractus cuius radicem invenisti maximus cubus in toto numero proposita ...
Colophon ... inventum et completum anno domini 1292 ultima die iulii, scilicet in festo beati petri ad vincula per magistrum petrum de dacia dictum filomenam amen.
T & K TK 681
Work 2Title (standard) De fractionibus
Incipit Quoniam de practica arismetice in algorismo quo ad integra sufficienter determinatum est, nunc de fractionibus sive ruptis dicendum est, et prius de representatione ...
Additional remarks Twelve lines, apparently a fragment of a larger work.
Item no. 2
Folio no. 36rb
Work 3Title (standard) Practica geometrie
Incipit Artis cuiuslibet consideratio in duobus consistit, in theorice et practice ipsius integra perceptione ...
Item no. 3
Folio no. 36rb-38va
Explicit ... subtilius esset opus. Et hec de radice quadrata sufficiant.
T & K TK 149
Work 4Title (standard) Practica geometrie
Incipit Geometrie due sunt partes principales, theorica scilicet et practica ...
Item no. 4
Folio no. 38va-39va
Explicit ... quomodolibet aliter se habentia similia corpora.
T & K TK 585
Work 5Title (standard) Enigmata mathematica
Contents This is a collection of sixteenth puzzles or problems illustrating various mathematical techhhniques.
Incipit Si queratur quot lepores possint sedere in una archa, ita quod quilibet contineat unum pedem in longitudine et dimidium in latitudine ...
Item no. 6
Folio no. 39vb-40rb
Work 6Title (standard) De fractionibus
Incipit Notandum: cum voluimus alicuius numerum multiplicare per alium cum fractionibus, possumus hoc dupliciter facere ...
Additional remarks This and the following two items may be independent notes, or fragments of the same work or of different works; their arrangement in the MS suggests no interdependence.
Item no. 7
Folio no. 40b
Explicit ... modus autem per quem hoc fieri potest in quodam tractatulo de fractionibus edocetur.
Work 7Title (standard) De radice surda
Incipit Radix numeri non habentis propriam radicem sed radicem sic invenitur ...
Item no. 8
Folio no. 40va
Explicit ... ergo radix istius numeri, scilicet 40, est 6 1/3.
Work 8Title (standard) De fractionibus
Incipit Notandum quod quotiens integra multiplicantur per fractiones, resultat (MS resulta) in numero producto eadem species fractionum ...
Item no. 9
Folio no. 40va
Explicit ... et in hiis ad minus quatuor numeri requiruntur.
Work 9Title (standard) Miscellaneous
Contents Divide per ter 6 annos ab origine mundi ...; Numerorum imparium alius est primus et incompositus, alius secundus et compositus ...; Proportionum alia multiplex, alia superparticularis, alia superpartiens ...; Ad inveniendum autem inter quoslibet duos numeros proportionem, primo videndum est ...; Digitus est minima pars agrestium mensurarum ...; Algorismus secundum quosdam nomen inventoris huius scientie est ...; De multiplicatione. Multiplicare est ...
Additional remarks It could not be ascertained whether these seven sections of text of varying lenghths belong to a single work. Item 1 is a brief list of rules for various mathematical operations.
Item no. 10
Folio no. 43rb-44rb
Other passages Between items 6 and 7 there is a sequence of excerpts (43vb-44ra) taken at least partly from the Imago mundi ascribed to Honorius of Autun
T & K A work with an incipit identical with that of item 5 is in TK 431
Work 10Additional names Johannes de Sacrobosco
Title (standard) Algorismus
Incipit Cum haec scientia de numeris que algorismus ab inventore dicitur, vel ab algo quod est inductio et rismus quod est numerus ...
Additional remarks The present work, in spite of its distinctive incipit, is internally virtually identical with the Algorismus of Johannes de Sacrobosco
Item no. 11
Folio no. 44rb-45vb
Explicit ... hec igitur predicta ad numerationem et additionem, subtractionem, dimidiationem, duplationem, multiplicationem, divisionem, progressionem et ad radicum extractionem in numeris quadratis et cubicis sufficiant.
T & K The first six words of the present incipit are listed (from other sources) in TK 301