Petri Philomeni de Dacia in algorismum vulgarem Johannis de Sacrobosco commentarius. Una cum algorismo ipso edidit et praefatus est Maximilianus Curtze.
49 Deinde dupla 6, et provenient 12; 2 igitur ponas loco 6, et 1 addas ad 2, et erunt 3, et erit iste numerus sequens 510320 a. Deinde dupla, quod habuisti ultra integra, 6, et duplum eius, scilicet unum integrum, ponas loco 0 in primo loco, et stabunt figurae sic: 510321. Iste est numerus, quem in praecedenti 5 capitulo mediasti. Quod si probare velis, an bene feceris, absque eo, quod tu probes unam speciem per aliam, videas, si proba numeri iam duplati, id est, qui provenit post duplationem factam, fuerit dupla ad probam numeri dupiandi, quem scilicet primo posuisti. Si sic, tune bene factum est; et patet in pro- 10 posito, quod proba numeri, qui provenit post peractam duplationem, 3 est, proba autem duplandi, scilicet numeri prinmo propositi, est 1 curn 8, etca. SEQUITUR SEXTA SPECIES, SCILICET MULTIPLICATIO. Mlultiplicatio est numeri etca. In parte ista determinat 15 auctor de sexta specie huius artis, scilicet de multiplicatione. Universaliter potuit dici, quod hic determinat de multiplicatione et divisione simul. Et primo facit hoc, et secundo dat modum examinandi operationem in utraque specie, et hoc facit in fine capituli sequentis, cum dicit: Cumr itaque. Adhuc primo deter- 20 minat de multiplicatione, secundo de divisione, cum (licit in proximo capitulo: Divisio est etca. In hoc capitulo primo auctor facit quinque. Primo enim diffinit multiplicationem; secundo manifestat, quot ordines figurarum sunt hic necessarii; et tertio dat sex regulas hanc speciem rectificantes; quarto docet operari; 25 et quinto subdit quoddam notabile vel cautelam hie observandam. Et incipit secunda pars ibi: In multiplicatione etca; tertia ibi: Sunt autem sex; quarta ibi: Si velis igitur; quinta ibi: Sciendurn auten, in fine capituli. Dicit ergo primo, quod miltiplicatio est propositis duobus numeris inventio tertii numeri, 30 qui etca. Vult dicere, quod, si proponantur duo numeri, quorum unum velis multiplicare per alterum, tune multiplicatio est inventio cuiusdam numerii tertii, qui numerus tertius totiens et 4
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About this Item
- Title
- Petri Philomeni de Dacia in algorismum vulgarem Johannis de Sacrobosco commentarius. Una cum algorismo ipso edidit et praefatus est Maximilianus Curtze.
- Author
- Sacro Bosco, Joannes de, fl. 1230.
- Canvas
- Page 40
- Publication
- Hauniae,: A. F. Host,
- 1897.
- Subject terms
- Arithmetic
Technical Details
- Link to this Item
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https://name.umdl.umich.edu/acv7283.0001.001
- Link to this scan
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https://quod.lib.umich.edu/u/umhistmath/acv7283.0001.001/70
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The University of Michigan Library provides access to these materials for educational and research purposes. These materials are in the public domain in the United States. If you have questions about the collection, please contact Historical Mathematics Digital Collection Help at [email protected]. If you have concerns about the inclusion of an item in this collection, please contact Library Information Technology at [email protected].
DPLA Rights Statement: No Copyright - United States
Related Links
IIIF
- Manifest
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https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:acv7283.0001.001
Cite this Item
- Full citation
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"Petri Philomeni de Dacia in algorismum vulgarem Johannis de Sacrobosco commentarius. Una cum algorismo ipso edidit et praefatus est Maximilianus Curtze." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/acv7283.0001.001. University of Michigan Library Digital Collections. Accessed May 29, 2025.