Petri Philomeni de Dacia in algorismum vulgarem Johannis de Sacrobosco commentarius. Una cum algorismo ipso edidit et praefatus est Maximilianus Curtze.

64 positis) superioris ordinis ut prius, et cum omnes subtractae sunt, stabunt figurae sic: 207 216 5 -38 Quo facto anteriorandae sunt figurae numeri divisoris, et stabunt figurae sic: 207 216 10 38 Deinde videas, quotiens poteris subtralere figuras inferiores a sibi suprapositis, et invenies, quod quinquies. Ponas igitur 5 supra 6, sub quo est prima inferioris ordinis, et stabunt figurae sic: 15 2075 216 38 Deinde per illa quinque subtrahas figuras numneri divisoris ut prius', et facta subtractione remanebunt 26 de numero primo 20 proposito, quod est minus divisore. Tunc sequitur illa pars: Nec cessandum est, in qua docet, quamdiu anteriorandum sit, et invenienda sit figura quotiens; et dicit, quod a tali anterioratione figurarum numeri divisoris non est cessandum, nec est cessandum ponere quotiens numerum supra numerum dividendum, 25 nec cessandum est ducere numerum quotiens in divisorem et productum a dividendo subtrahere, ymmo omnia ista facienda sunt, donec prima figura cum omnibus aliis numeri divisoris fuerint subtractae a prima figura numeri dividendi. Quo facto aut aliquid erit residuum, ant nichil. Si aliquid, sicut in exemplo secundo 30 patet, reservetur exterius in tabula, et erit semper minus divisore, si bene fuerit operatum. Deinde cumi dicit: Si autemr velis scire, assignat finem et utilitatem huius speciei dicens: Si velis scire, quantum de toto numero proposito eveniat cuilibet de numero divisore, numerus quotiens hoc ostendet. Verbi gratia:

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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

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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 31, 2025.
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