| Work 1 | Author standard |
Johannes de Sacrobosco |
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| Title (standard) |
Algorismus |
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| Contents |
(111r) Est autem numeratio ..., (111r) Additio est ... aggregatio ..., (111v) Subtractio est ..., (111v) Mediatio est ..., (112r) Duplatio est ..., (112r) Multiplicatio est ..., (112v) Divisio est ..., (113r) Progressio est ..., (113r) ... de radicum extractione in numeris cubicis ... |
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| Incipit |
Omnia que a primeva rerum origine processerunt ratione numerorum formata sunt |
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| Item no. |
1 |
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| Folio no. |
111r-114r |
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| Explicit |
...et haec de radicum extractione sufficiant tam in numeris quadratis quam in cubicis. |
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| Glosses etc. |
(112r) marginal notations |
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| Additional copies |
Vat. Lat. 3114, 28r-33r; Pal.Lat. 1892(?), 62r-72v; Ottob. Lat. 1675, 21r-30v |
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| T & K |
TK 990, 991 |
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| Additional information |
Early translation in "The Early English Text Society, Extra Series, No. 118 (1922) |
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|
| Work 2 | Author standard |
Jordanus Nemorarius |
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| Title (standard) |
Algorismus |
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| Contents |
(114r) Quantitates ... aliae sunt continuae et aliae discretae ..., (114v) Numerorum alius simplex alius compositus ... Opus in septem dividitur... (115r) Numeri similes et eque ... sunt proportionales ... In pari differencia non est aliquis numerus quadratus ..., (115v) Omnis simplicis numeri radix est numerus simplex ... A numero maiore numerum minorem extrahere ..., (116r) De medio unius numeri ad alterius principium ut producti equalitas servetur non est transcribere circulos ... Datum numerum per se vel per alium quemlibet multiplicare ..., 116v) Numerum datum per minorem dividere ... Propositi numeri radicem extrahere ..., (117r) Minuciarum tractatum ..., (117v) Descriptio minuciarum ... Opus minuciarum septimalem divisionem ..., (119v) Radicem assignatarum parcium extrahere ... |
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| Incipit |
Communis et consuetus rerum cursus virtusque ordinis naturalis raro |
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| Publ. descriptions |
G. Eneström, Bibliotheca Mathematica, VIII (1907-08), 137-9 and XIV (1914), 41-5; S. N. Sreider, Istoriko-Mathematiceskie Issledovanija, XII (1959), 559-688 |
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| Additional remarks |
The manuscript includes two treatises, the first, De Numeris, contains twenty-five divisions, the second, De minutis (117r-119r), has twenty-six divisions. These divisions are so numbered and indicated in the margins |
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| Item no. |
2 |
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| Folio no. |
114r-119v |
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| Explicit |
... ut integre EF per ID diviso habeatur, radix AB. |
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| Colophon |
Explicit demonstratio Jordanis in Algorismi ... |
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| T & K |
TK 237 |
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|
| Work 3 | Title (standard) |
Brevis ars minuciarum |
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| Contents |
(120r) Capitulum primum in quo manifestatur quae sint minuciae physicae et vulgares ..., Cap. sec. de modo scribendi minuciam physicam ..., (120v) Cap. ter. de reductione ..., (121r) Cap. quar. de reductione ... Cap. quin. de subtractione ... Cap. sex. de dimidiatione ..., (121v) Cap. sept. de divisione ..., (122r) Cap. oct. de inventione radicis ..., (122v) Cap. non. de inventione radicis .... cubicis, (125r) Cap. undec. quid sit minucia vulgaris ... Cap. duod. de numeratione ... Cap. tred. de reductione ..., (126r) Cap. de aggregatione ... Cap. quattuord. de subtractione ... Cap. 15 de duplatione ... Cap. 16 de multiplicatione ..., (126v) Cap. 17 de divisione ..., (127r) Cap. 18 de radicis inventione ..., (127v) Cap. 19 de inventione radicis ... cubicis ... |
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| Incipit |
Cum minor quantitas aliquociens sumpta maiorem componit |
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| Additional remarks |
No indication of a chapter 10 in the manuscript. The Minutiae Physicae ends on fol. 123v. |
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| Item no. |
3 |
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| Folio no. |
120r-127v |
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| Explicit |
... scias iterum quod non dico quod sit necesse, si numerus propositus excedit ....., sed quod si multo maior fuerit. |
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| Colophon |
Explicit brevis ars minuciarum. |
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| T & K |
TK 318 |
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