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Leibniz-Handschriften zur Mathematik LH 35, 3 B 10, fol. 2v

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: 0.80.

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. 3r); this page is its left half.

The machine reads it as

  1. Data aliqua serie Fractionum, invenire aliam seriem scujus differentias constet
  2. mpossibilitate
  3. ut series 1. b 10 est duplum Z 12 10 gdifferentiarum
  4. ita
  5. seriei 1. 2 3 4 5 ∞. ek.
  6. A
  7. Invenienda ergo est talis datae seriei eruntiatio ut Nmintores Numenctor
  8. 2
  9. E sint differentiae, Nominatores vero Facti, continue terminorum seriei datae
  10. 1
  11. vel statim, vel si cecto quodam modo dividant, aut multiplicent
  12. e
  13. D
  14. E etc. = quaesitum: Z X U S et ratio dividens aut multipli-
  15. Ergo jam
  16. X
  17. LW
  18. EWxy
  19. vw.
  20. 11
  21. A P.
  22. U
  23. t
  24. AT-uW
  25. Wr
  26. V
  27. I Es
  28. rR
  29. et
  30. W 7 R
  31. ans quaecunque ea sit. P
  32. Sed certo sciendum est, seu demonstrandum posse hoc in infinitum continuar
  33. 61
  34. si quis huc usque analysin produxeri, ut ista invenore queat, illi
  35. de pe eum plaeimum praestitisse arbitior.
  36. ete
  37. Nam L+ + + ex = seriebus in
  38. finitis A. B. C. D. et. a quibus si
  39. abjiciantur: L+ L + etc. restabit
  40. = oi residuo infinities infiniso
  41. incluso. (Ita = initiori iicluso,
  42. et ita de coegis.)
  43. huae 1= terminis omnibus sinu da repehe
  44. seme antea nunc semet tautum sumlis
  45. 10 15
  46. 16 25 ete H AA
  47. A = D.
  48. = E
  49. ZN 27 b4 ins ete = 1 10 20 3 ete c =F
  50. 160 21 25b 610 etc K tr he 70 ete
  51. ete etc etc ete etc etc et er etc
  52. Ck
  53. ilem G. = M. Ergo totum M + N + 0 exe = toti H+ 1. + K etc.
  54. H= A 1 = H ~ D et B = i H + L = A = D. et 1 + LR = B =. E
  55. et X+ = = C = F Utrobique abjecta intelligante huic Grilline L
  56. patet etiam: AA = DD = HB. et BB= EE = 1: et CC = FF = K Lo Abjiciantur hinc H
  57. illinc DD. residua erunt aequalia atobique Ergo I+ K = AA. Z. +BB- 1, +CC. + = EE+ FF
  58. Ergo cum in istis infinities infinitis o
  59. in oes termini bis occurrant, denta
  60. media linea notata sic Hmu. un
  61. ex lineae teminis dimidiatis
  62. ete
  63. laodm au un u ex
  64. +M 9
  65. e
  66. e
  67. e
  68. te
  69. 14
  70. 28
  71. c M ete eri ere

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 10, fol. 2v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068260:0004?run=74