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

velis 99 per 9, tune ducas primo digitum ilium, 9 scilicet, in 9, qui est articulus numeri compositi, et provenient 81, et stabunt figurae sic: 819. Deinde ducas eundem digitum, scilicet 9, in digitum numeri compositi, et provenient etiam 81; addas igitur 8, scilicet articulum ilium, ad 1, qui erat digitus numeri, 5 qui primo provenit, et 1, quae est digitus numeri provenientis, ponas loco 9; et stabunt figurae sic: 891 et totum istud patet per ea, quae sunt habita in operatione. Sed nota, quod, cuml auctor dicit, quod digitus iste debet duci in utramque partem numeri compositi, et producta debent coniungi, hoc sic fiet, lo quod ultima figura numeri, qui provenit ex ductu digiti in digitum, debet addi ad primam figuram numeri, qui provenit ex ductu digiti in digitum articuli, sicut evidens est in exemplo. Tertia regula est ista: Quando articulus. Verbi gratia: Sint articuli 90 et 60. Due ergo 9 in 6 figuris ordinatis, sicut 15 debent et dictum est supra, hoc modo: 60 90 Ex ductu igitur 9 in 6 vel e contrario, provenient 54; ergo per ea, quae supra dicta sunt, 4 debent poni supra 9, et qui- 20 narius sinistrari. Deinde debet deleri 6 et loco eius poni 0, sicut dictum est in cautela prima, et stabunt figurae sic: 5400 90 Constat etiam, quamlibet unitatem valere centum, et quemlibet 25 denarium mille. Vides ergo totum istud corollarie sequi ex praedictis, quibus visis patent regulae sequentes. Utrum autem bene operatus sis, sic invenies. Multiplices probam numeri multiplicantis in probam numeri multiplicandi, tune, si proba numeri provenientis est aequalis probae producti, bene operatus 30 es, sin autem non, erratum est. Verbi gratia: nnmerus primo multiplicandus erat iste 45060, cuius proba est 6; numerus vero (primo) multiplicans erat iste 2030, cuius proba est 5. Duc igitur 5 in 6, et proveniunt 30, cuius proba est 3. Vide igitur,

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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 May 29, 2025.
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