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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 180v

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: 0.73.

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

The machine reads it as

  1. . =y v. logX = logys fiet _ v. de + dsv:) logX = dy. y
  2. pr = (y) r= logB = loge) fit dort Fdlr.) logB = dy) ). et
  3. pt = (yD, t logr = log(BB. t dx + dt logr = de): (19). unde
  4. d(rt) = r, t dr + dt logr. et d(v) = v r (dv + logv (t dy rdt log1)
  5. Ergo d(X
  6. = v. (18 + HogX. r= (a + logv (+dr + dt logr))) hoc oppopt
  7. sumhari
  8. C sit ergo aequalo aequationi _ seu 0. seu aequatio.
  9. et et = 2 et Gt logr = co
  10. et divisas aeq. per v:. fir l dZ + Z A (de + dee) = 0 et divisis omnibus per 214
  11. et liat _ log X = RG et logv = V
  12. fit d + d + deo =0 quae aequatio conferatur huic vydx + xdx - dus
  13. dit = d +dco
  14. A
  15. fiet deo = = du seu co= Fty = et + = fLy, : logY
  16. et A=
  17. 54ys: logY a Xxdg = d1: ( seu log 1- Xx
  18. .2
  19. seu 4 = Bg B H
  20. sit dx = d d: pfias
  21. B yydx = d3∞ p seu (es. Z dX = 18. 9
  22. p
  23. gy-
  24. sty,loge =y
  25. cautone et siet yn = soc
  26. et feret Hogis
  27. quod non licet. sed si fuisset yyaa + Ax dx - Ey =0 res successisset
  28. sed in fine hanemus nam evanescitra
  29. Ergo vu
  30. p
  31. quid ergo si dx + Xx dx = dy 2d
  32. 2
  33. f+
  34. ftG logr
  35. dis: A P = XXdx: yy sit d: 8 = XX ax
  36. do-d p dy: yy 33 seu log4Z Ay seu 6 1.Y
  37. X + + f = log 2p + c
  38. et fint yy = A4 = _ . gestum
  39. quod non licet, quia de
  40. et fiet 1 = yy: r et log = 2 l0gy - F logr, ubi
  41. Flogr
  42. fiet X + = +f = 2logy (= t logr + tlogr
  43. 19.4
  44. de x + dv + d (Flogr
  45. eY
  46. et in
  47. e
  48. 1+
  49. evanescit V et pt, temra est
  50. seu do d
  51. pursus
  52. struuntur quaesitae
  53. li
  54. 28 + cl y. Y
  55. 2y.
  56. ex + X ∞+ dd
  57. e XFF +L): = log i + Flogr
  58. n
  59. edx pt et
  60. c
  61. d
  62. de
  63. eax sised ut video
  64. e
  65. d
  66. non minu si unlhine

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 180v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0360?run=74