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

41 superioris ordinis, tune, qcuia macior de mninore subtrahi non potest, mutiuetur unitas a figura proximena sequente, quce unitas valet 10 respectu figurae praecedentis, scilicet primae, quia quaelibet unitas in secundo loco posita valet decem, ut dicebatur supra. Ab illo denario in secundo loco sub forma 5 unitatis accepto et a figura, a qua fieri debuit in principio subtractio, simul iunctis subttrahat'ur figZra inferior et residuum etca. Verbi gratia: sint numeri isti: 463 348. io Cum prima superioris ordinis, scilicet 3, sit minor quam 8,.quae est prima inferioris, inferior de superiori subtrahi non potest. Accipiatur (igitur) 1 de 6, quae est figura proxima sequens, et quia quaelibet unitas in hoc 6 valet 10, haec unitas valet 10. In loco igitur 6 scribatur 5, et postea a denario 15 accepto et a 3, a quo deberes subtrahere, subtrahas 8, et remanent 5, quae ponas loco ternarii sic: 455 348. Si vero figura: docet, qualiter operandum est, cum figura illa 20 sit unitas, a qua muttandum est, et patet. Verbi gratia: sint isti numeri: 413 348. Cum ergo non possint subtrahi 8 de 3, deleas 1, quae est in 25 secundo loco, et quia illa valet 10, subtrahas 8 de 13, et remanent 5, quae reponas' loco 3, et propter figuram sequenter ponas 0 loco 1, quam (in) loco secundo mutuatus es, sic: 405 348. 30 Tune sequitur illa pars: Si autemn figura, in qua docet, qualiter operandum est, cum in secundo loco fuerit 0, et tacit duo. Primo facit, quod dictum est, et secundo dat causam operatio

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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 40
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 June 1, 2025.
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