Petri Philomeni de Dacia in algorismum vulgarem Johannis de Sacrobosco commentarius. Una cum algorismo ipso edidit et praefatus est Maximilianus Curtze.
69 notacnda tamen. Et hoc primo inquirit, quis sit numerus quadratus, et quae sit eius radix; et similiter quis sit nurnerus cubicus, et quae eius radix, et secundo notificat tertium propositorum, quid sit radicem extrahere, cum dicit: Radiceim numneri quadrati, in principio capituli sequentis. Adhuc primo 5 praemittit quandam divisionenm, ex qua investigat duo. Primo iam proposita, et secundo membra dividentia pertractat, cum dicit: Notandtluz etiam. Circa primam partem est notandum, quod, sicut quantitatis continuae quaedam est linea unam dimensionem habens, et alia superficies habens duas, et alia to corpus habens tres, sic etiam recte est de quantitate discreta, quae est numerus. Numerorum enim, ut dicit auctor, ctaius est linearis, alims stperficialis, alius soliclus. Numerus linearis est: hic pertractat membra dividentia, et primo duo membra pertractat, et secundo quasi subdividendo secundum imembrum 15 specialius de eodem. Secundum determinat, cum dicit: Sed sciendum. Adhuc primo praemittit subdivisionern suam, et secundo membra ostendit ibi: Si igitUir numerus. Adhuc primo petractat primum mermbrum, et secundo secundum, cum dicit: Si autemn nmunerus bis. Adhuc primo de primo membro inve- 20 stigat, quis sit numerus quadratus, sub quadam subdivisione membri primi, quia, si numerus semel ducitur in numerum, aut ducitur in se ipsum aut in aliurm. Si in se ipsum fit, est numerus quadratus, et quare quadratus dicitur. Si in alium fit, est numerus superficialis non quadratus, quasi diceretur, 25 quod numerus quadratus est sub superficiali, et numerus non quadratus est sub eodem superficiali, quia superficialis absolute est ille numerus etiam absolute, qui ex ductu (numeri) in numerum semel provenit. Sed superficialis specialiter est, secundum quod est proveniens ex ductu numeri non cuiuslibet in 30 quemlibet, sed numeri in quendam alium et similem eius. Sicut enim, sub animali si essent solum duae species, puta homo et quodcumque aliud ab homine, tune, cum quodcumque aliud ab homine non habet forsan impositumn unum nomen, dividendo
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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 60
- 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/acv7283.0001.001/90
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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 June 4, 2025.