Petri Philomeni de Dacia in algorismum vulgarem Johannis de Sacrobosco commentarius. Una cum algorismo ipso edidit et praefatus est Maximilianus Curtze.
Annotations Tools
31 praemittendo id, quod sinistrius est, praemittimus numerum maiorem, sicut consueti sumus facere pronunciando aliquos numeros. Ulterius notandum, quod Latini et universaliter omnes communicantes linguae latinae, sicut sunt Lumbardi et Gallici, similiter semper praeponunt maiorem numerum minori, 5 cum pronuntiare debent aliquos numeros compositos ex digito et articulo vel ex duobus articulis differentibus. Dicit enim Latinus viginti duo vel centum et viginti praemittendo viginti ante duo et centum ante viginti; et similiter Lumbardus, Gallicus et Graecus. Sed haec regula fallit in sex numeris primis io compositis: dicimus enim et nos Latini undecim, duodecim, tredecim, quatuordecim, quindecim, sedecim semper praeponendo digitum, cum tamen minor sit. Sed quare in his numeris sic oporteat minorem maiori praeponere, et quare in tot et non in pluribus, causa est notabilis. Et quare primo in his numeris 15 hoc oporteat fieri, causa est, quia, sicut dictum est, haec ars computandi inventa est apud Arabes, qui in pronuntiando semper in omnibus numeris minorem praeponunt maiori, ut universaliter omnes barbari, scilicet Theutonici sive Alemani, Anglici et omnes his in linguaggio communicantes. Quia igitur Arabes 20 in pronuntiando minorem numerum praeponunt maiori, nos, cum ars numerandi primo ab eis nobis (sit) tradita, in primis numeris eos sequimur, in quibus scilicet (dictum est) numeris; in aliis id minus attenditur. Sunt (tamen) numeri compositi primi 9; quare in 6 et in 6 tantum? Dico, quod hoc est, quia 25 ars numerandi perfectionem primo sortita est ab Arabibus; ideo eos sequimur in numero primo perfecto, scilicet in senario. Si igitur, ut credo, quae dicta sunt, veritatem habent, non bene pronuntiant, qui dicunt septendecim, vel qui dicunt octodecim, sicut quidam solent dicere. 30 SECUNDA SPECIES, DE ADDITIONE. Additio est numeri vel numerorum ad numerumn aggregatio etca. In hac secunda specie, quae est additio, facit auctor
-
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
Actions
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
-
https://quod.lib.umich.edu/u/umhistmath/acv7283.0001.001/52
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 May 29, 2025.