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Leibniz-Handschriften zur Mathematik LH 35, 5, 24, fol. 4r

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: 0.77.

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

The machine reads it as

  1. a + lX + Cx. aequ0 bdx 1cdue dy aequ dx
  2. FL5. O +L F1I
  3. 0 + 21X + 21 y aequ. N. 11 dx + 21 dy aequ. N.. dy aq
  4. oruxFEIy + 12X,+ IRIXy + 2C97. ag. X.
  5. 11 dx + 21 dy +(2) 12X dx + (121 Xdy +n21 y dx +(e) 22y dy aequ. N
  6. erit dus aequ.
  7. a + (2) 1d7+n21y
  8. se dx
  9. 2 + 1121X + (2) 227-
  10. O+NXLyInxtauxyy+
  11. ∞ 1 D + n Xy 4 n. X y + 13. X8y et aeg. 0.
  12. unde 10 dX0 10 f + n. y + 12. yy + 13 13 aq
  13. set rh
  14. has
  15. i
  16. 10.1. + d11- y dx. F 11 dy + d12. yy de 1 Eydy + d13. y dy (3713ydy
  17. Undela
  18. fiet: du aequ dio + dn. y + dirgy + d13. 9 + d14. y etescoE
  19. ax
  20. seu vey.-
  21. 11 + ( (2). 12y + (3) 13y + (4) 14y et seud
  22. st nonesse v ntius asfurgere quam eral y in aeq. 1. sed et possumus vollepe
  23. sit aequatio data:
  24. (420 + 21 (D + 22 vv 4 23 3 F24V et
  25. au
  26. et pro D subsciluendo valorem inventum fit ru 69. 3. e
  27. 20 80 +20 D
  28. Hino ordinando:
  29. s
  30. P. 21 7
  31. ae22
  32. e et reple
  33. De 3a
  34. 1
  35. (5)
  36. 0+22) b23 et aequ. N
  37. e posito e esse exporentem muximae potentia
  38. ipsius V. Et pro D et C substituendo valores holbibitur aequatio
  39. exaequ 3. habebitur aequatios secundum y, comparanda
  40. cum aeq. 1. Altissima potentia in aeg. 1 est h, inaqu itaque
  41. D assumere posset ad v. e. hi
  42. e
  43. et () ad v
  44. . um tamen
  45. assurgi tantum deberet ad y. itaque quia destructio generaliter
  46. + et
  47. et
  48. non procedit nec proinde comparatio cum 4 aequ. 1. debet
  49. ean
  50. prius compaa attolli eg. 1. multipli cando Mer novam
  51. e
  52. suntami
  53. arbitrariam: 30 +31 y + 32y + 33y, etc usque ad 3C
  54. une fier aequ (8) ejusdem altitudinis cum ae qu. d. et
  55. cum ea comparanda
  56. 2+ dx
  57. e

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 24, fol. 4r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068042:0007?run=73