Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 23

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.83.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. Pet A4
  2. enduseii
  3. Dex 2411
  4. MA -
  5. nd -
  6. 10. OVI.
  7. reduc
  8. Dreste
  9. invenialu
  10. NIA ZAESE OS IIHEVERSALIS.
  11. UC, ad inveniendum minimam quantitarem, quae diridi porest
  12. per duas dacas aac e cd: consticutis aac de cd in Formam tractionis
  13. hoc pacto: aac
  14. c
  15. ireduco tractionem hanc ad ejus primitiram, Peu
  16. simpliciorem =. Ouibus juxra le posicis, hoc modo; aac a aa
  17. Ca
  18. E mulciplicario instituatur per crucem, procreabitur cadem
  19. quantitas ex aac in d, at que ex cd in a a: fiet enim uerobique
  20. aac d, minima quippe quancitas, quae line reliquo diridi porest
  21. Pet aac _ cd.
  22. Sic ee ad inveniendam minimam quantitatem, quxe dividi po-
  23. teltper duas datas a ac - a a N _cd - dd; reduco (UE ante) Fra-
  24. ctionem 22c - aa d
  25. ca -ad 2d ejus primitiram: Tum mulciplicato
  26. aac = a a d per d, auECd = d d per a a, FICE QUanEIEAS quae (IEa a a C d
  27. a a d d. minima scilicet, quae dirisibilis est per a ac -- a a d ec
  28. cd - dd.
  29. Similicer Sideneur at = b+ ec a a f ab: quoniam 2+ -b+
  30. aa + ab redu-
  31. Citur 2d 23 = aab. + abb - b3
  32. de a =b mulciplicatum per ata-
  33. CicaS =abt; eritaS- ab quancitas quaelita.
  34. Fadem ratione si dacae FUCTINE K3 =- 25 N XC X X - F. TOX - 25-
  35. exir quae lIta quanLItaS X = - 5 X 3 = 25 X X = 125 X. FC SIC de
  36. CaeterIS.
  37. Duodhrero compertum lit aur constee, duas illas datas quan
  38. titates ad simpliciores reduci non polle, led primitiras esse; OpOr-
  39. cecunam per alteram mulciplicare, ad inreniendam quantitatem
  40. guaelicam. Or ad inveniendam minimam quantitatem, quae di-
  41. vidi porest per aa - ab ee a. +- b: quoniam 2a = ab
  42. a+b 2d simplicio-
  43. resterminos reducinequie, mulciplico a a -ab per a- ( b, (cum
  44. secundim pracedencia Scribendum Forec 2a - ab aa = ab
  45. ee HE qua lita quantitas a3 - a b b.
  46. + b
  47. a- F b
  48. Caecerum datis rribus aue pluribus quantitatibus, inrenietur
  49. minima quantitas qua per iplas ab (que reliquo dividi potest, hoc
  50. modo: EIt ad inveniendam minimam quancitatem, quae dividi
  51. Porest per a3 abb, aa + 2 ab - f bb, _ a a - bb: quaeropri-
  52. am, uc ance, minimam quantitatem, quae diridi pocest per

Cite

Ps. 2, fol. 23. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0047?run=74