Petri Philomeni de Dacia in algorismum vulgarem Johannis de Sacrobosco commentarius. Una cum algorismo ipso edidit et praefatus est Maximilianus Curtze.
Addita enim secunda ad secundam figuram loco figurae additae, sive quae est addita, poni debet cyfra, ne figurae sequentes minus significent; et hoc intelligas de omnibus aliis sequentibus figuris. Deinde addas tertiam ad tertiam, scilicet 3 ad 7, et excrescat articulus, scilicet denarius. Loco igitur 7 deleti po- 5 natur cyfra 0, et unitas, quae est digitus articuli, addatur ad figuram sequentem, scilicet ad 8, et stabunt figurae hoc modo: 99051 12000. Hoc facto addas quartam ad quartam, scilicet 2 ad 9, et ex- o1 crescent 11; unitatem ergo ponas loco 9, et unitatem, quae est digitus articuli, addas ad 9 sequentem, et erunt 10. Dele igitur 9, et loco eius ponas cyfram, et unitatem, quae est digitus articuli, ponas in spatio vacante ad sinistram hoc modo: 101051 15 10000. Deinde addas ultimam ad sibi suprapositam, scilicet unitatem ad 0, et erit 1. Si ergo I ponas loco 0, stabunt sic orm- nes figurae numeri aggregati ex additione numeri addendi ad alium: 111051, qui continet in se utrosque numeros primo "o propositos. Quod si scire velis, utrum bene addidisti nec ne, tune diligenter notes accipere numeros primo positos, scilicet 98706 et similiter istum 12345, et utendo qualibet figura, ac si per se poneretur, abice semper 9. Verbi gratia: numerus addendus erat talis 12345; collige omnes figuras simul, et erunt 25 15; abicias ergo 9, et remanent 6, quae reserves in tabula. Deinde sumas numerum, cuii addidisti, scilicet 98706, et similiter utendo qualibet figura, ac si per se poneretur, colligas omnes simul et abicito semper 9, residuum serves; et sunt 3 in residuo, quae addas ad 6 prius reservata, et erunt 9 in universo; 30 quibus etiam abiectis 9, quia 9 sunt, nichil remanebit; et dicas tune, quod proba huius additionis est 0. Est enim proba in qualibet specie residuum abiecto quotiens potest 9. Hoc facto recolligas omnes figuras numeri aggregati, et abiectis semper
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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 20
- Publication
- Hauniae,: A. F. Host,
- 1897.
- Subject terms
- Arithmetic
Technical Details
- Link to this Item
-
https://name.umdl.umich.edu/acv7283.0001.001
- Link to this scan
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https://quod.lib.umich.edu/u/umhistmath/acv7283.0001.001/58
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The University of Michigan Library provides access to these materials for educational and research purposes. These materials are in the public domain in the United States. If you have questions about the collection, please contact Historical Mathematics Digital Collection Help at [email protected]. If you have concerns about the inclusion of an item in this collection, please contact Library Information Technology at [email protected].
DPLA Rights Statement: No Copyright - United States
Related Links
IIIF
- Manifest
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https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:acv7283.0001.001
Cite this Item
- Full citation
-
"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.