Petri Philomeni de Dacia in algorismum vulgarem Johannis de Sacrobosco commentarius. Una cum algorismo ipso edidit et praefatus est Maximilianus Curtze.
Annotations Tools
24 tus, intelligendum est de forma primo modo, quia dividit artem suam in decem species, et cum hoc dat modum et ordinem procedendi. Et ideo pars ista potest dividi in duas partes; primo enim dividit hanc artem, et secundo tangit modum et 5 ordinem procedendi, cum dicit: Inter quas primo de numeratione dicenduim est. Et comprehendit radicum extractionem sub una specie, quod forte facit, quia idem numerus potest esse quadrati et cubici radix, sicut patebit infra. PRIMA SPECIES, SCILICET DE NUMERATIONE. 10 Est autemn numeratio etca. Hie incipit pars executiva, et habet partes novem iuxta numerum novem specierum huius artis, et patent partes. Primo igitur agit de numeratione, quia instrumentum est in omnibus speciebus sequentibus; et facit auctor quatuor in hac specie. Primo enim describit numeratio15 nem, (et secundo assignat numerum figurarum, per quas facimus numerationem), et universaliter omnes alias species huius artis, et (tertio) dat regulas in numeratione observandas, et quarto subdit duo notabilia; et incipit secunda pars ibi, cum dicit: Sciendum igitur quod iuxta novemr limites; et tertia ibi: 20 Notandum igitur, quod quilibet digitus; quarta ibi: Et sciendum, quod supra quamlibet figuram. Circa primum duo facit, quia primo describit numerationem, et secundo, quia in descriptione numerationis utebatur figura, quam in sequentibus confundit cum differentia, loco et limite, ideo convenientiam istorum 25 quatuor et eorum differentiam dat. Secunda incipit, cum dicit: Figura vero. Dicit ergo primo, quod numeratio est artificialis repraesentatio cuiuslibet numeri per figuras sibi competentes. Dicas sic exponendo hanc descriptionem numerationis, quod numeratio est repraesentatio numeri; ducitur scilicet de dicto 3o in scriptum et de scripto in dictum. De dicto in scriptum, cum, sicut pronuntiamus numerum ipsum, ita scribimus; de scripto in dictum, cum, sicut scriptus est, pronuntiamus. Et ob hoc dicitur, quod numeratio est repraesentatio numeri arti
-
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/acv7283.0001.001/45
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.