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Leibniz-Handschriften zur Mathematik LH 35, 9, 14, fol. 1v

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: 0.70.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 2r); this page is its left half.

The machine reads it as

  1. Nanc aequationem differentialem calculo in omnem partem versavi
  2. donec solutionem tali methodo reperi qua nunquam antea usus eram
  3. licet seriebus infinitis, quibus ad eam perdeni, dudum essem usus.
  4. Laequ l+ mt nXX = PX + qX et
  5. y aequ l+ mx + nXX + pX + 4Y
  6. Sy aequid
  7. 5.
  8. d+
  9. t axxaqud
  10. 2
  11. aequ
  12. Avuds
  13. de
  14. b
  15. Y 2
  16. i
  17. a E. 5 7. 2
  18. ponatui
  19. tY
  20. oyy aequ llabux tnXX + alpXt Elg d tlX
  21. aequationem
  22. t totam qu itatem
  23. tmm. Emn. Emp. 2mg.
  24. D
  25. et
  26. lxX + MX+ LnX+ pX etc
  27. aXX
  28. ec
  29. e
  30. nn 2np
  31. faciendo identicam,
  32. EEdIta ut _ indeterminata X in ea evanescat,
  33. etc
  34. etc
  35. et
  36. 6
  37. fiet. laequ. 0. maequ et quidem si alesset
  38. litera a eu quantitas L axx. liceret omnes
  39. literas ponere aequales nihilo, servata sula litera n
  40. et fieret n aequ 17
  41. selu, y aequ. Xxsi et
  42. y aequ Le Xxs et rediget
  43. 2b5 baequ2 et 2b
  44. haberetur hac melhodo parabola
  45. si solum
  46. idem methodo insistendo feliciter evenire ut
  47. exomnes literae possint poni aequales nihilo, demtis
  48. et n nam ponendo maego tea quaerendo
  49. n, (posita laequ.0) per gradum X, oritur aequa
  50. tro comparatitia= m aequ 2bmn. seu n aegu.
  51. 12b
  52. t in grane X Caeteris destructis fit in aequ. bnn seu cursus naequ.
  53. sen yaeguXFXX
  54. faciemus V aequ X 1ab +, B XX, quae aequarin satis-
  55. faciet quaeo. Itaque curva AGC. rursus parabola erit, sed
  56. verum C non erit curvae vertex AB tamen, ut ante ejus
  57. caxi pardaca erit, ded autem curvae ex his non erit
  58. difficilis Htic ergo rurtus ususe sum illo artificio inveniendi alme alias annotato
  59. uplilis methone. Nempu si problema difficile aliqua meclodo quae
  60. xba aequ.
  61. siqae supra
  62. pondus habis consideraretur. Sed quia
  63. Cob onque simpocitum
  64. 12b
  65. 2+
  66. de
  67. et
  68. C
  69. e
  70. e
  71. Ld
  72. at
  73. a
  74. e
  75. dE
  76. ee
  77. 5
  78. a c
  79. a
  80. e
  81. e
  82. 5
  83. itaque
  84. et
  85. e

Cite

Leibniz-Handschriften zur Mathematik LH 35, 9, 14, fol. 1v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068138:0002?run=73