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Leibniz-Handschriften zur Mathematik LH 35, 6, 1, fol. 2r

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. video nns eo potuisi
  2. e perve
  3. here etiam melitera C
  4. stmeodo
  5. Jutum aeq. 3. eamque disteren
  6. edo edende soltendo truncendentia
  7. exponentialem.
  8. +
  9. X
  10. s. 1(Y)X. y C
  11. differentando fit
  12. Sic
  13. er
  14. =h. fit
  15. nlog b = 109. H
  16. e
  17. du 10g. t = dh:h
  18. et
  19. L. V=
  20. a, y erse y a
  21. rexiu
  22. a (x)X. 9 b
  23. (2) p
  24. d
  25. 2
  26. dubls
  27. . log. b La (2Y) X. G. et
  28. sillendo exporientialem pe C et 2 fit
  29. e
  30. 1
  31. 2
  32. e
  33. s
  34. )Xy (2Y) X. G tog b
  35. 3
  36. dEr) X. 9 quae
  37. aequatio differentialis ordinaria
  38. id hinc amplius NXy
  39. _LVX.
  40. rx S
  41. dist
  42. du
  43. Ca sit
  44. F.
  45. et
  46. e
  47. de
  48. + (3r) Xy que
  49. (1)
  50. 8) er) X. y
  51. m. b +p b = 9 posito solam
  52. b esse gnstantem, sed m n pq Haberi ut cunque per X, et 7
  53. differentiando fit. IX I
  54. 0
  55. 22
  56. as
  57. 2n
  58. am b. + motu b log. b + Abb. +
  59. 2
  60. 2p an B log b= c. nam potest q assum
  61. constans si per et dni qua fuerant pro m
  62. et uita s cum transterri potuerit quicquid
  63. in ex in constans est, in in et p. adeocu
  64. 2
  65. fiet am + manlog. b + ap b + 2pdn
  66. nempe aege. 2. divisa per b et fiet utique
  67. by
  68. be b=- dm = manlogb: ap + Epdulogb
  69. sed ex aeq. fit
  70. In(
  71. d
  72. Vc4+ rum = M, : 2p
  73. quos duos valores aequando, ti et
  74. (67
  75. in de +2mp du l0gb dp + Epdnlog. b Yapotmm
  76. potest loqu bponi = 1.
  77. + pam + 2pman log. b
  78. Reducitur tamen res ed simplen, perinde ac si initio fuitset
  79. g. 1. affiusset aeq. 5. seu 1 = F. ut fiat as
  80. af= an f l0g. b. sed si sit i = f pF +9. fiet inde et
  81. M. M H. Am F 9 M m dn + P. af + f F. p F. d + f l0g. p p at + 19 = 0
  82. et

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 1, fol. 2r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067956:0003?run=39