Work 1 | Author 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 2 | Title (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 3 | Title (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 4 | Title (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 5 | Title (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 6 | Title (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 7 | Title (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 8 | Title (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 9 | Title (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 10 | Additional 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 |