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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 182v

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: 0.78.

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

The machine reads it as

  1. d, X log. Cd = X. ded: c0
  2. C-
  3. +log. (0. V. X: dx + log. Cd. X. logr. dv
  4. p-1
  5. faciamus: X ded:co + log. C. V. X : x = 0 seu ded: Co loguo =- vdx: X
  6. Ergo quomodocunque codetur ex X, dabitur v, ut summari queat
  7. log. 10. X logx du. Sinfaciamus s X .
  8. X dur: c + logued Xe logu doc
  9. Sed tamen si detur V et cogcd vocetur Z. fiet leg+ = s- van:
  10. sin faciamus
  11. ut summari queat X logco. log. X du.
  12. Si o si logcd. logX = 1 fiet diso
  13. l
  14. d: W0 logx + dx: X log o = 0 seu ded: d logX ∞ + dx: Xlogx =0
  15. ergo ut summari queat X. do hac methodoc
  16. cum sit
  17. etiam deo: c0 + logue. vdx: X =0, utique fiet
  18. = dx: (X. logr) = v dx: (x log. X) =0
  19. 9.7
  20. ligo X.
  21. logsIiX
  22. sive ssx
  23. 1
  24. . seu v = - l0g X
  25. log1:X
  26. = log. l: X
  27. de = X. log. T: X
  28. Sin faciamus X dao: 0 + logco. X logx do 20, fiet
  29. L
  30. oall. X
  31. afi.X) log. X (dx: X) = ts X.
  32. Ergo 1: logx X
  33. log (1. X)
  34. seu I.X. ax: X) -de. X
  35. to
  36. fI. X)
  37. flogx)
  38. , log (1.X)
  39. 1X = X
  40. : log. X
  41. Possamus et facere X deo: a + log. co. X. log. X dv =0 fit
  42. da: 0:logco = = log. X dv seu log. logc = - (logx dv
  43. Ergo log co = num. (- flog. X dv)
  44. et proinde fiet
  45. . (num (= flogx de). V. X. dx) = X. num. (- slog. X dv)
  46. si esset num (- slog. X dv) = 1: v fieret flog X av = - logv
  47. ergo Xdo log. X dv = dv: v. seu V = 1: logX
  48. x :X, et dabit q (i logX))
  49. Ergo summan poterit XI: logx
  50. sid hoc per se palebat, quia : logat
  51. respantu la
  52. t
  53. vax
  54. oyx
  55. t logu
  56. Edgo d
  57. fiat logius et logx: bogX =i Ergo sequitur
  58. fit Jogy = logX: logx =1
  59. quantitas constans. Ergo nil lucrati sumus inder sugno

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 182v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0360?run=74