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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 141r

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. lxy = X dy + dxy = 1 aX L’y + 1. d’X d’y
  2. dxy = lxddy +2dx dy + 1 dex d = 1 d Xd V + 2d Xd y L tdaxd 9
  3. (xy = 1d X dy = 3dX dy + 34. Xdyt1 d’xd V
  4. d (xy) = 1dxdy F Cd x15
  5. e
  6. jec
  7. 2
  8. X+Y) 1B
  9. eu
  10. d = 1dexdy 1
  11. d (Xy) = 1d
  12. ec
  13. e-1
  14. y+ C. C- l (2, JC 2y
  15. 16
  16. d
  17. 12
  18. dy F es
  19. ey +e d Ip s
  20. at
  21. ata
  22. et p P2
  23. a
  24. 2
  25. 1.2
  26. C. 8 - 1. P. 2 Bp de
  27. 4
  28. Xdy. +
  29. 1.2.3
  30. 1.- 1. -2 (C-du
  31. d’xy = 1dx dy + 24xdy + 1d Xdy =
  32. pedque Z AZ
  33. e
  34. et fit ydxFdy = 175 z dZ et yX = (dz 52.Z
  35. commodum hic est ingens in differentatibus, quod non est in potentia
  36. libus, nempe quod in aequation aequatio in partes una per paltes
  37. ex
  38. Exgr. si conjungantur id Xdy +2 dxdyt 1d Xy7- is
  39. mdmam
  40. siet _dxy+xdy + dm (∞Z) = B am sindm
  41. posita am constante
  42. Ea res spem altioris Analyseos facit. praeser
  43. tim cum in potestate sit fingere unam lequationem, quae
  44. pgestum speriem progressionis determinet, quam assigmare
  45. alicui quantitat varianti licet.
  46. 3.
  47. yt ete.
  48. pGtete
  49. aequationis institui potest summatio, non vero expote seu exdisse-
  50. rentiatio, non vero expotentiatio seu extractio.
  51. 10
  52. dn (148 d v + 1d Z d v7
  53. 2
  54. 13
  55. 12.3 a Cdy tetc.
  56. 1. 2.3
  57. kty) = 1p XPy + 2pXpy + 1pxpy = ab. fit X+y = p ab

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 141r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0281?run=74