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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 83r

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: 0.76.

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The machine reads it as

  1. Febr. 160
  2. de differentiodifferentialibus
  3. Adax quaenitur an regula generali
  4. haberi possat: fiet si sit X progressonis
  5. arithmeticae erit: ddx aequ.o
  6. (ddx ee aequ. dx. sed quid (dk ddx
  7. s
  8. t
  9. aax adx aequ: dx. Et ita ponro
  10. ed quid (X dax 2 si Xaequ. y erit Axaqu
  11. eritdd axaego 2ydy. et dax aego 2Hady + 2dy
  12. et faciendo dus progres aequi constansi seu e
  13. unitali, erit adus aequi0 et d aeglus Bet fiet:
  14. s
  15. Xddx aequ 2yydy aequ aeqo= d
  16. 2
  17. sin Xaequ y erit dxaego hyglus. et dd
  18. dax aequ. 3ygddys +6y dus aego 6ydus
  19. et (X ddx aeqo 6syt dus aequ 6y aequ. X
  20. 3.5
  21. Unde respectu solitu X non potest haberi valor constans
  22. Videamus an possit constanter exnimi per X et dx.
  23. sit scilicet: Sx dax aequ X d
  24. v
  25. Si X aequ y e generaliter si X aequ y erit:
  26. dx aequ. Cd. y et ddx aequ d. c0- 1. y02. et
  27. a
  28. X dix aeqo, co. c0- 1. y
  29. aquaEx
  30. te X. dX
  31. ea
  32. h
  33. 210-2
  34. et Sx ddx aego co. co-1. 20-1
  35. h.
  36. h
  37. et1
  38. 2cd-s
  39. p
  40. pat r+1
  41. ax +_thX ax +rmx. de
  42. +nm. Z
  43. fiat sed nihil hinc duei potest nec tolli dx eot nec idem
  44. fieri aego ex. posseinus tamen facere e+1 ugo -1
  45. ea hunc
  46. sed tunc quaere retu summa ∞: deo
  47. eut
  48. videndum an detur lummu X ex
  49. ac datur
  50. Veram nec

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 83r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0165?run=74