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Leibniz-Handschriften zur Mathematik LH 35, 6, 27, fol. 14r

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: 0.69.

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

The machine reads it as

  1. Hare aequationem Tangentialem alibi brevius solvi
  2. aydys+ e B d) = q e a
  3. axax
  4. ax
  5. X
  6. X
  7. a
  8. sit ej: a = f ddZ: dZ et s: a = Sadz. do et dy: dx = dv: d2
  9. fiet dydo B a = Ds dd
  10. deaz Ca
  11. aZ
  12. + Cdd2. et differentiando fit
  13. .
  14. au
  15. e 2dZ a2 dvddv- avdvdzue ddze, +B did cd v - Bd7dzu d vdaz
  16. detZ di4
  17. aequ. DddZ + s ddze unde fiet
  18. de
  19. au
  20. dazdvdv 2fd VdZ adque + ABd dvadx - 4 BdZa dBdo dazue - dedo + n 1E 7
  21. sit B = 0, fet et ddv20 firit v = OV, d d+ 3 d37. sed
  22. ita de:du corstans, ergo et dy: dx. quod absurdum
  23. sincido muneat, fit 2 dtaF 2dZdxado - 2 dp adzue = B dzdu dxd
  24. ao
  25. Ra)3adZ
  26. dd ddv 2ddZ = Ed v3 + Od2dZ dv + X d33.: 2d2 doax
  27. seu d.x iddue X 2 d v: AZ + B. dz: dv + X d7dz: dudo
  28. gade aos = dx + B de + A,i dpdo = rel (dv: dz)
  29. d.1Z
  30. a2B.
  31. sit addque
  32. d73
  33. L devidu
  34. ret (V. dq) - (d n idZ)
  35. sit du.dze = +:a fiet m
  36. Cadz
  37. a
  38. et
  39. e
  40. 2b
  41. earra
  42. oa
  43. hba
  44. l ae
  45. azaz
  46. a (av: d2) dudv. dz d3
  47. 9
  48. 4
  49. 2(Hdt
  50. fiet (adZ = B D2 (99 +2912: D) a + (1): C0) aa
  51. seu (
  52. d
  53. daas ee q
  54. u de
  55. Baa (ddz = = 99 + 21 a9 + 13 aa (de
  56. 2 S
  57. bBC
  58. 49 + 24 aq B: aa = log (4
  59. logsd.
  60. 2
  61. Daat a Baao Bt-ga
  62. sit Bt - a = G et t = 9+ (r: B) a
  63. ddz
  64. seu1
  65. e
  66. 8.2
  67. + 0.2)
  68. A2: 6d sed logdz = y:a et av: dz Lg: d
  69. 9-
  70. et hoc loco du. sed = F: a = (9: 4) + A: D
  71. sed hot loco dv: dz = dg: dx = relf: a; yia) ergo qu re
  72. e
  73. es
  74. ergo q= ret ) vel (X:a; yaa) a.D. Ergo hic valor proq
  75. g.a pro FdaZidze substituatur in aeq. Cd et habebitur
  76. et
  77. relatio inter Cx,7, a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 27, fol. 14r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068072:0027?run=73