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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 289r

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: 0.71.

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

The machine reads it as

  1. nei.
  2. 1.
  3. Z=
  4. e
  5. posio B numero constanti
  6. et e quantitale variabili, exprimenda per X esq et a
  7. sit jam dx: dy = adX = 2XXY,: 30a 2Xy7. et
  8. 1d
  9. agitur ut habeatr nova aequatio in qua absit a
  10. sir xin
  11. log y = logZ = P logn. seu fay: y - sax: X = b)
  12. sa
  13. et dy: y = ex. d = de log n seu Ag = de byn Z. A.
  14. + dZ. H~ seu dy = de logn. Z. N + +Z. n - 2
  15. 349y - 2X99 dx: aa X = 2XXy, 2
  16. (
  17. = 3aaZ. 1 = 2X Z2n, dX: AAX = 2XX Z. B
  18. Ex 5eg. () est fdy aaX f dy 2XXy = 3aay lx = 2 xyydx
  19. sit aa = = 2Xyy dx = 2X yy 4)3:, 3ydx Ixdy
  20. taum EtY 2X ZH. de legn Z. HI- 2X XZ M. dZ. H=
  21. 0
  22. ubi ut qvanescat a debet esse numerator =o
  23. ext ph aeq identice
  24. 3ZC
  25. e
  26. e
  27. 7pE d3
  28. dx XZ(N de logn + = X(M dx
  29. ubi si essit l = 3Z+ x. (x Zde bgn L X dZ
  30. aas
  31. Pieret de de logn L3dX. X = dg.q. Ergo
  32. e cogn
  33. 13
  34. 109X = l0gZ. et Be 2
  35. bluerutius vi si faciamus q = 1
  36. fiet
  37. M
  38. eaa
  39. nondum video
  40. l
  41. B
  42. L: Za
  43. t =V
  44. l
  45. sinc modum sollendi a
  46. l
  47. c
  48. cum relatio inter X et v sine Cg. D. Sed quid
  49. et
  50. idu = ca dv: v
  51. et y = a logV. fiet Aa = + 2∞. 3(4 2∞ + , ∞ - 2V. 10g v dv
  52. 1090
  53. ita evanescit ad, sed loque B) toncmstu
  54. quid si sic. X =aV. L et
  55. 3lc0 P Mad
  56. y= a2.c0
  57. v: 7
  58. duq et Y= av: Z + a n
  59. solleretur quidem a ex aeq. D. sed daretur
  60. sit X = a. a v. 5
  61. impedit
  62. a
  63. a
  64. a
  65. 1a
  66. s

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 289r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0573?run=74