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

86 Deinde inveniendus est alter digitus sub proxima figura versus dextram ante triplatum, scilicet sub 9, qui cum subtriplo ductus in triplatum, deinde sine subtriplo ductus etc". Et illud sic faciendum est. Ponatur digitus, quem credideris inveniendum 5 sub ultima figura triplati, et subtriplum post ipsum proximo versus sinistram, ut si credas, quod digitus inveniendus erit scilicet 1; et stabunt figurae hoc ordine: 22089429 27 10 91 Ducas igitur 91 in 27 per modum multiplicationis primo, et quidquid provenit ponas supra figuras supremas, et stabunt figurae perfecta multiplicatione recte in hune modum: 2257 15 22089429 27 91 Et tune digituin inventum duxisti cumr subtriplo in triplatum, et hoc est primus processus. Deinde eundem digitum sine 20 subtriplo ducas in productum, id est in numerum in supremo stantem, scilicet in 2457, et provenit idem numerus, quia, sicut supra dictum est, ex ductu numeri in unitatem vel e contrario non crescit aliquis numerus: duo igitur facta sunt; siquidem duxisti digitum inventum cum subtriplo in triplatum, et iterum 25 eundem digitum sine subtriplo in productum. Subtrahas igitur singulum de singulo, et non poteris. Nullus igitur digitus erit. In hoc casu, sicut vult auctor, ponatur cyfra sub 0 sub tertia figura versus dextram exclusive, (vel, ut dicit auctor, sub quarta inclusive), scilicet sub 2, et anteriorentur triplum cum subtriplo 30 versus dextram per duas differentias, et stabunt figurae isto modo: 22089429 270 90 Quo facto inveniatur digitus sub prima figura, scilicet sub 9,

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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 80
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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