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LBr. 57, 1 · Bernoulli, Joh., fol. 121v

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

The machine reads it as

  1. pasi1.
  2. ab -y.
  3. Xlogb = logus X log. b = sdv: y
  4. ex logb = dy: y, dy= logb.
  5. oE anu
  6. a sx dx = _ l. (+ C)) X
  7. _B dx = b: log.b
  8. X = y X log. X = log. y
  9. 1
  10. +
  11. Hic singularis
  12. modus inveniendi
  13. quasdam
  14. summationes
  15. paginare
  16. hujus fine et
  17. pagma
  18. Xdx + dx logx = dy = dx + dx logx versa
  19. Ergo dy2 _
  20. assumendo
  21. literas
  22. poste
  23. xplical
  24. Ergo deX = X x + X logX dxarbesia
  25. X logx = v ergo xlogx + loglogx = logv
  26. Ergo dx + logx _ + dx. X = du: v. Ergo
  27. logx
  28. Sutit do = Xlogx dx + X loqu dx + dx: X
  29. ed
  30. V
  31. Ergo a xax dependent
  32. X log dx X logx ax et X loge dx
  33. uo et credo X logxa dx et ita
  34. sed quid (X Xdx.
  35. pori
  36. X X = c _ XlogX + logx = logue
  37. se S dx + logx dx + dx = deo
  38. W
  39. 2 seu X. X. dx + X xlogX dx + X dX =
  40. de
  41. A X = y. vlogx = log G. son vda +lV logx
  42. e
  43. = dy seu ay (= d. )=
  44. 1
  45. ay = d. X.)= V. R. ex + X
  46. logX. dv.
  47. tog. sit vdx = l0gX dv. seu
  48. sit
  49. sit de
  50. a
  51. Dx v. dx
  52. Xdx fist du = 2. X
  53. r
  54. X vax =
  55. verte
  56. logp

Cite

LBr. 57, 1 · Bernoulli, Joh., fol. 121v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-958803:0244?run=74