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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 68v

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: 0.84.

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. 69r); this page is its left half.

The machine reads it as

  1. Quam in tem se fortasse procedere licebit. Constat tam
  2. sequentes teminos ex primo ho modo derivari
  3. m ∞, 6 - ob c- ob, c- 1b c. ob, c. 1b, ca 2b cuob, c- ib, c. 2 sb
  4. vel adtur Gentalis.
  5. 1
  6. Unde sic aequ. 1. fiet:
  7. d
  8. c - ob
  9. c- 0
  10. 1.2, 4
  11. Cob, C- 1b
  12. 12, de
  13. 12,34
  14. cuob, cur b, corb.
  15. 1,2,3, def
  16. 12, 3 a4
  17. crob. Cn1b, corb, C. 3b
  18. 1,2B, 4, defg. 1
  19. Ponendo jam b. aequ d. aequ. e aequ f. ex. aequ 2.
  20. seu omnes literas praeter aequari ipsi Uni
  21. fiet.
  22. cocat
  23. c.0, c- 1, c-2
  24. 2, 3.
  25. c-0, C - 1, C- 2, C-3
  26. 1,2, 3, 1.
  27. una est difficultas quod non video quomodo hinc prodeat primus
  28. termina qui semper deb hoc loco est 2. nisi sit exprimus
  29. generaliter uno termino:
  30. cy
  31. c- 4I 2)
  32. i
  33. y Ion
  34. vel potus
  35. intelligendo per Z exponentem non potentiae purae, sed affectae seu ex
  36. productis continudduus Nam hoc logarithndtum affectorum genere
  37. adhibito, patet posita
  38. vel potius C,
  39. ic distinctius sulbemus:
  40. i
  41. rubi posita Laequ. 0. fit
  42. c- ,1BC- 3c
  43. 1,2, etc, (2
  44. C- ob, carb, c- 2b, etc, c- q
  45. CB, 1, 2,3, etc, Z, b) 2)
  46. vel Cet droc, Ar eatre, L + Zb12)
  47. ex toto termino fic .
  48. .
  49. partinet) ad ultimum
  50. multipli cctorem, sed
  51. Si 9=, b sit aequ. 0.
  52. fit tenminus ipse termonus
  53. plane ullicuus. seu aequ. c.
  54. Si ponatur Z aequ. 0. fit terminus primus aqu. 1. Nam ut
  55. omni logaii hmorum sive purctum sive affectorum genere curus
  56. logarithinus est 0. tunc erminus affectus seu numerus est
  57. ex duobus terminis extremis quaeramus medios alia
  58. renitas
  59. poterit oriri relatio, seu expressio terminorum ordine facta
  60. per quam fiet ut intermedii sint infiniti, si C non est
  61. illud tantum videndum an aliqua arte effici possit ope
  62. numerus rationalis
  63. transcendentis, ut sinitt sint fermini
  64. licet et utrinque
  65. eodem modo compesiti prodeant, licet C non sit quantatus
  66. numerus integer
  67. (2)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 68v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067993:0136?run=39