Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 64v

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: 0.78.

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

The machine reads it as

  1. i
  2. a
  3. e
  4. (proarbitrio
  5. quaeritur an lice at facerede
  6. .. 1
  7. ddx de
  8. dax
  9. Aatu C(XC 1 42 2
  10. t
  11. es
  12. s
  13. a
  14. fiet dy = e XI=
  15. et ax
  16. Eti ddyeddu
  17. e
  18. .
  19. aC =1) dx = dco. et
  20. 1
  21. (ddy: dax) dx x: = e
  22. fiet (. tX
  23. seu C. (- 1. X
  24. p
  25. a. adx1
  26. C. C - 1. X~- 2 (dX dx: ddx) + C. H P =
  27. sit jam
  28. voc simile aliquid,
  29. eld, vel- Xdx (= deo
  30. constanti vel simile aliqtui. st. ex. qua V =.. X a
  31. C- 2
  32. P-2
  33. 6
  34. e
  35. X: ddx = a doo
  36. dx: deo =D a ddx: dx Ax seu e(e- 1: C- 2) X =
  37. in quo nihil incommodi. Ergo etiam nihil incommodi eut
  38. is
  39. si utcunque sibet faliamus in similibus homogentis,
  40. e-1
  41. .
  42. si sit d dy.dx
  43. adx. dedva deax (adx: dx = ddv: ddx tav: dx
  44. sit aqu
  45. sit diff fiat dx Sddx: du = ex dd: ddx + do et sit dx ddo: dax = dco con-
  46. deo
  47. quic quia sit aequatio
  48. Santi fint ddx + ddx sadx: dx = ddo et salx: dx = ddv: dax - 1
  49. x = -dx et hoc catu fit v = A - x. videa.
  50. sddx: dx = b -ddx: ex _ LF = dax: bdX
  51. quod ssincedit
  52. +dv.dx et
  53. Sddx:dx =0 seu dx hoc catu fit constans. Non male
  54. ddo: dax
  55. Ex ddx: dux + dae = deo et exs adx: dx = deo, fiet
  56. mus an vere
  57. ai
  58. Li
  59. + dd sddx: dx = 0 et logex, erit constans quod non licet C ,
  60. es
  61. fipt
  62. quod licet. Et valorem repertum substituludo in aeg. 1, f et. 1 = Idv: dex
  63. ad
  64. l
  65. sed redem
  66. ay.
  67. Cdu d) dex : ax =d (dv: dx) :
  68. su quae datur per quadraturas. videamus jam auliceat
  69. unde den. lu at
  70. sans negatium Nam inde
  71. linet etiam idx constans nam fint dux Slax: X = 0 ob ax (dax: dx = deo
  72. + du: dx
  73. Sed an non hic absurdum, ut tdx. X sit
  74. 1 - (dv: dx) -
  75. et, Aldx: dx =
  76. - Num fieret ddx-dx = deo, seu dax =b. Ergo
  77. (ddx: dx =
  78. foult is
  79. non
  80. Resp. imo fievt. Nam in tali casu non ponenda
  81. ergo nc
  82. (ddx - -dx : dx = - 1 ut ante. Niml
  83. nec ne quid temere abjiciamus aut pro
  84. sed fiet ex
  85. talbipsius
  86. ed viduamus jan an aissumtati turi o
  87. tantum notabilis cautela
  88. valore liceat disceodere impune in differentiando inventoigitur
  89. 0
  90. ddx =
  91. absurdi.
  92. habeamus
  93. sddx: dx = - 1 seu in aeg. 2. - 1 = ddv: ddx + dv: dx
  94. et pro pro
  95. li seu -dx = ax Adv .ddx + deo ponendo deo fit a dx =deq ut
  96. aqudo
  97. ante, nec proinde hinc incommodum, cum prodeat aequatio tventa

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 64v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0128?run=74