Petri Philomeni de Dacia in algorismum vulgarem Johannis de Sacrobosco commentarius. Una cum algorismo ipso edidit et praefatus est Maximilianus Curtze.
66 positus dividendus sit iste 56088, cuius proba est 0. Sit divisor iste 123 cuius proba est 6. Facta igitur divisione erit numerus quotiens iste 456, cuius proba est etiam 6. Due ergo probam divisoris in probam numeri quotiens, et proveniunt 36, 5 quorum proba est 0, sicut est proba numeri dividendi. Verumptamen facta divisione residuum si quid fuerit, aliud quid est faciendum; quia videas probam illius residui, et ear tollas de proba totius numeri propositi primo (dividendi), si poteris; si non, tune probae numeri totalis addas 9, et postea subtrahas o1 probam residui, et tune duc probam numeri divisoris in probam numeri quotiens, et provenientis probam serva, quae si fuerit aequalis probae numeri primae, bene fecisti. Verbi gratia: numerus propositus primo dividendus erat iste 9876, cuius proba est 3, numerus autem divisor erat iste (543, cuius proba est 3, 15 et humerus quotiens erat iste) 18, cuius proba est 0. Facta autem divisione remanserunt 102, cuius proba est etiam 3. Subtrahas igitur probam numeri residui de proba numeri primo propositi dividendi, et remanet 0. Due autem probarn numeri divisoris in probam numeri quotiens, et provenit 0, quare bene 20 operatus est. OCTAVA SPECIES, QUAE EST PROG6ESSIO. Progressio est numerorum etc". Haec est octava species, quae est insufficiens, quia se ad omrnem numerum non extendit et undecumque inceptum; ideo loco huius capituli illud, si 25 placet, pro textu habeatur. Progressio est numerorum secutnduzn aequales excessus augmentatorum aggregatio, ut wuniversorum summan compendiose habeatur. Unde si ex aggregatione numeri ultii cut cr primo resultat numerus par, per eiuss nmedietatem mutitipicetuir~ n1aue30 rus locorumn; si veto impar, per eurmn mudtilticettr mledietas numeri locoruim, et exibit summal quaesita. In hoe octavo capitulo duo fiunt. Primo enim describitur progressio, secundo de ea dantur duae regulae, per quas tota
-
Scan 1
Page #1
-
Scan 2
Page I - Title Page
-
Scan 3
Page II
-
Scan 4
Page III
-
Scan 5
Page IV
-
Scan 6
Page V
-
Scan 7
Page VI
-
Scan 8
Page VII
-
Scan 9
Page VIII
-
Scan 10
Page IX
-
Scan 11
Page X
-
Scan 12
Page XI
-
Scan 13
Page XII
-
Scan 14
Page XIII
-
Scan 15
Page XIV
-
Scan 16
Page XV
-
Scan 17
Page XVI
-
Scan 18
Page XVII
-
Scan 19
Page XVIII
-
Scan 20
Page XIX
-
Scan 21
Page XX
-
Scan 22
Page 1
-
Scan 23
Page 2
-
Scan 24
Page 3
-
Scan 25
Page 4
-
Scan 26
Page 5
-
Scan 27
Page 6
-
Scan 28
Page 7
-
Scan 29
Page 8
-
Scan 30
Page 9
-
Scan 31
Page 10
-
Scan 32
Page 11
-
Scan 33
Page 12
-
Scan 34
Page 13
-
Scan 35
Page 14
-
Scan 36
Page 15
-
Scan 37
Page 16
-
Scan 38
Page 17
-
Scan 39
Page 18
-
Scan 40
Page 19
-
Scan 41
Page 20
-
Scan 42
Page 21
-
Scan 43
Page 22
-
Scan 44
Page 23
-
Scan 45
Page 24
-
Scan 46
Page 25
-
Scan 47
Page 26
-
Scan 48
Page 27
-
Scan 49
Page 28
-
Scan 50
Page 29
-
Scan 51
Page 30
-
Scan 52
Page 31
-
Scan 53
Page 32
-
Scan 54
Page 33
-
Scan 55
Page 34
-
Scan 56
Page 35
-
Scan 57
Page 36
-
Scan 58
Page 37
-
Scan 59
Page 38
-
Scan 60
Page 39
-
Scan 61
Page 40
-
Scan 62
Page 41
-
Scan 63
Page 42
-
Scan 64
Page 43
-
Scan 65
Page 44
-
Scan 66
Page 45
-
Scan 67
Page 46
-
Scan 68
Page 47
-
Scan 69
Page 48
-
Scan 70
Page 49
-
Scan 71
Page 50
-
Scan 72
Page 51
-
Scan 73
Page 52
-
Scan 74
Page 53
-
Scan 75
Page 54
-
Scan 76
Page 55
-
Scan 77
Page 56
-
Scan 78
Page 57
-
Scan 79
Page 58
-
Scan 80
Page 59
-
Scan 81
Page 60
-
Scan 82
Page 61
-
Scan 83
Page 62
-
Scan 84
Page 63
-
Scan 85
Page 64
-
Scan 86
Page 65
-
Scan 87
Page 66
-
Scan 88
Page 67
-
Scan 89
Page 68
-
Scan 90
Page 69
-
Scan 91
Page 70
-
Scan 92
Page 71
-
Scan 93
Page 72
-
Scan 94
Page 73
-
Scan 95
Page 74
-
Scan 96
Page 75
-
Scan 97
Page 76
-
Scan 98
Page 77
-
Scan 99
Page 78
-
Scan 100
Page 79
-
Scan 101
Page 80
-
Scan 102
Page 81
-
Scan 103
Page 82
-
Scan 104
Page 83
-
Scan 105
Page 84
-
Scan 106
Page 85
-
Scan 107
Page 86
-
Scan 108
Page 87
-
Scan 109
Page 88
-
Scan 110
Page 89
-
Scan 111
Page 90
-
Scan 112
Page 91
-
Scan 113
Page 92
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 60
- 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
-
https://quod.lib.umich.edu/u/umhistmath/acv7283.0001.001/87
Rights and Permissions
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
-
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 June 1, 2025.