Petri Philomeni de Dacia in algorismum vulgarem Johannis de Sacrobosco commentarius. Una cum algorismo ipso edidit et praefatus est Maximilianus Curtze.
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9 a quo denominatur unus illorum, in digitur, a quo denominatur reliquus; et quilibet unitas valet centum, quilibet denarius mille. Quinta regula est: Quando articulus multiplicat numerum compositum, ducendus est digitus articuli in utramque partem numeri compositi, et 5 coniungantur producta, et patebit summa. Sext.a regula est: Quando nurnerus compositus multiplicat numerum compositum, ducenda est utraque pars (numeri) multiplicantis in utramque partem numeri multiplicandi, et producta coniungantur, et patebit summa totius. Et sic ducetur digitus bis, quia o1 semel in digitum et semel in articulum; articulus similiter bis, semel enim in digitum et semel in articulum. Hic tamen articulus non nisi ad principales extenditur articulos. Si igitur velis aliquem numerum per se vel per alium multiplicare, scribe numerum multiplicandum per suas differen- 15 tias in superiori ordine, numerum vero multiplicantem in inferiori ordine per suas differentias, ita tamen, quod prima figura inferioris ordinis sit sub ultima superioris. Quo facto ducenda est ultima multiplicantis in ultimam multiplicandi. Ex tali igitur ductu aut excrescit digitus, aut articulus, aut numerus compositus. 20 Si digitus, ex directo super positionem figurae multiplicantis scribatur digitus excrescens; si articulus, ex directo figurae multiplicantis scribatur cyfra et transferatur articulus versus sinistram; si numerus compositus, ex directo figurae multiplicantis scribatur digitus, qui est pars illius numeri compositi, et sinistretur arti- 25 culus ut prius. Hoc facto ducenda est penultima numeri multiplicantis in ultimam multiplicandi, et quidquid inde excreverit, negotiandum est ut prius; et sic fiat de omnibus figuris numeri multiplicantis, donec veniatur ad primam figuram multiplicantis, quae ducenda est in ultimam multiplicandi. Et ex isto ductu 30 aut excrescit digitus, aut articulus, aut numerus compositus. Si digitus, loco superioris deletae scribatur digitus excrescens; si articulus, loco superioris deletae scribatur cyfra, et sinistretur articulus; si numerus compositus, loco superioris deletae scri
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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 XX
- Publication
- Hauniae,: A. F. Host,
- 1897.
- Subject terms
- Arithmetic
Technical Details
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https://name.umdl.umich.edu/acv7283.0001.001
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https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:acv7283.0001.001
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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 30, 2025.