Petri Philomeni de Dacia in algorismum vulgarem Johannis de Sacrobosco commentarius. Una cum algorismo ipso edidit et praefatus est Maximilianus Curtze.
79 quod idem est, vel millesies duo milia millesies, millesies tria milia millesies, vel millesies decem milia millesies, vel millesies XX milia millesies, vel miltesies XXX milia millesies, vel millesies centum milia millesies, vel millesies ducenta milia millesies, vel millesies trecenta milia millesies, vel millesies centum 5 et decem milia millesies, millesies ducenta et XX milia millesies etca. Hoc modo intelligi debet limes iste nonus. Ex dictis patent duo prius obmissa et supposita. Quia (prino) accepta est haec continua valere (ibi): Cumn ult'a. stummcam, nwmnerortmi solidornm non fiat in hac arte pr)ocesstus, ideo tantumn novem 10 sunt milites. Hoc (nunc) patet, quia tot debent esse limites, quot in numeris possibile est fieri progressus continua apprehensione ymaginatione stantis. Sed novem limitum processu eundo usque ad replicationen millenarii supra quemcumque bis stat apprehensio ymaginationis, et non ultra (it), sicut patet in 15 numeris iam explificatis ad nonum limitem adductis, yrmmo vix ymaginatio apprehendat illud: ergo etc". Vel sic ostendit, quod completiva et ultima dimensionum est dimensio trina; et ideo cum numerus solidus dimensione triplici mensuretur, ultra ipsum etiam non convenit transcendere. ldeo concludere possu- 20 mus, quod, cum limes nonus est in genere numerortmn solidorum, tantum novem erunt limites et non plures. Iterum secundo suppositum est, quod limes est continua ordinatio nlumer'ortum contentormn terminis extremis eitsdem naturae. Illud nunc manifestumn est inducendo ex omnibus limitibus. Extrema enim 25 primi limitis sunt eiusdem naturae, quia utrumque extremum est digitus, scilicet 1 et 9; similiter secundi utraque sunt articuli principales, scilicet 10 et 90; extrema tertii sunt centenarii, scilicet 100 et 900, etca. RAI)ICIS NUMERI QUADRATI EXTRACTIO. 30 Racicenm numeri qualdrati etca. Ista littera continet unan partem et continuatur sic. Superius auctor notificavit, quis sit numerus quadratus, et quae eius radix. Item in secundo, quis
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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/acv7283.0001.001/100
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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 May 29, 2025.