Petri Philomeni de Dacia in algorismum vulgarem Johannis de Sacrobosco commentarius. Una cum algorismo ipso edidit et praefatus est Maximilianus Curtze.
33 tias vel figuras, et numerum addendumn in inferiori ordine per suas differentias, et ita, quod prima inferioris ordinis sit sub prima superioris ordinis etca. Esto igitur, quod tu velis scire summam, quae producitur ex additione 98 ad 158; tune ordinabis hoc modo figuras: 5 158 98. Sicut enim dictum est superius, quanto aliqua figura est dexterior, tanto est prior, et ideo 8 in utroque ordine est figura prima, et 9 in inferiori ordine est secunda, et 5 in superiori o1 ordine est secunda. Tune sequitur ilia pars: Hoc autem facto, in qua exequitur de modo operandi figuras dispositas. Et quia additio completur et perficitur addendo quamlibet inferioris ordinis ad figuram (suprascriptam) superioris ordinis, ideo auctor duo facit. Primo enim docet operari addendo primam inferioris 15 ordinis ad primam superioris ordinis, et secundo innuit operationem eandem et eundem modum operandi in aliis figuris, cum dicit: Quo facto addatur secunda secundae. Item, quia addendo numerum ad numerum semper resultat numerus tertius diversus, ideo auctor circa primum duo facit. Primo enim addendo pri- 20 mam figuram numeri inferioris ordinis ad primam numeri superioris ordinis praemittit quandam divisionem circa numerum excrescentem ex additione primae ad priram, et secundo docet, quomodo circa unumquodque membrum dividentium sit agendum. Secunda ibi: Si digitus. Dicit igitur primo: Hoc facto, 25 id est, cum sic ordinaveris figuras, addatur prima inferioris ordinis primae superioris ordinis. Elx tali igitur additione aut excrescit digitus etca. Si digitus: exequitur de membris dividentibus, docens iuxta singulum operari, et facit tria secundum tria membra dicta divisionis. Primo enim dat modum 30 operandi, cum numerus excrescens fuerit digitus; secundo, si fuerit articulus; et tertio, si fuerit numerus compositus. Secunda pars statim post incipit scilicet ibi: Si articulus, et tertia ibi: Si excrescat numerus compositus. Vult primo dicere, quod, 3
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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 20
- 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/acv7283.0001.001/54
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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 June 6, 2025.