Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 56 · Bernoulli, Jac., fol. 21v

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: 0.86.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 14r); this page is its left half.

The machine reads it as

  1. me quidem affecerunt, nec satis initio mirari potui sumam Tuam
  2. dententatem, facilitatemq in transmutandis varieque ad nutum Tuum
  3. detorquendis numeru; ced tamen re penitius inspecta deprehendi,
  4. se hoc conatu parum imo nihil compendu consecutum esse; ec
  5. magis scopo appropinquari nova hâc serie in quam proporitam con
  6. vertis 1 + L + L + 1
  7. 1000 convertis, quam simplici alditione, toti
  8. me
  9. 4
  10. dem terminorum ipsius proporitae; quod sic ostendo: Guia, docente
  11. Nallisio, porita maxima X = 99. XXfere
  12. 89.
  13. 3
  14. E
  15. 99.
  16. At fere - - 2
  17. et (X6 fere = - 29. etc. erit 2
  18. +2SaX
  19. 1003
  20. 2. 99.
  21. 3. 1003
  22. 2s44
  23. 1005
  24. 25x6
  25. +-
  26. 2. 995
  27. etc. fere =
  28. 1007
  29. 2. 99
  30. 100
  31. 2. 99
  32. 1. 100
  33. ZL etc. neglecta viz
  34. 5. 1005 7. 1007
  35. multiplicatione per faitores terminorum
  36. alteras 1+ 3 + = + = + =, etc. quippe qui
  37. 99
  38. 99.3 99
  39. senribiliter brevi in unitatem abeunt. Sed et fractiones, et
  40. 100
  41. 3 100
  42. si adhibeatur v0. 50 e 100so. Primus statim terminus non ascendit supraL1 bentu terminia)
  43. tu
  44. ab unitatibus sensibiliter non differunt, nec nin port 34
  45. reo so, b
  46. pltati
  47. bito
  48. phie eade
  49. 0+5 dat tenino) p 25 ad B, e
  50. crepunt; Icrco senes itta fere convenit cum hac += + += etc. atque
  51. sic in eandem senem harmonuam relabimur, cujus sumam initio per
  52. compendium quaerere Audebamus. Caeterum si acquuescere velimus
  53. aliquali tantum approximatione nec auurata suma quaeratu, pos-
  54. sumus simplici additione paucorum terminorum rem satii longe pra
  55. vehere, hoc vel simili modo. utendo: Addant ii placet decem primi
  56. termini eritque + - + = + 1 + = + = + = + + = + 10 = A= 381
  57. 6
  58. 2520
  59. 9
  60. hinc pro singula sequentium decem terminorum ab usque ad
  61. 20
  62. ponat , adeoque pomnibus 10 = : ita etiam pro 10 seqqs. ab = ad 30
  63. panantu
  64. 100
  65. 100.
  66. 100,
  67. 100.
  68. etc.
  69. e

Cite

LBr. 56 · Bernoulli, Jac., fol. 21v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 148). https://leibnizlegible.com/page/DE-611-HS-958800:0042?run=148