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Leibniz-Handschriften zur Mathematik LH 35, 5, 23, fol. 5r

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: 0.84.

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. 15v); this page is its right half.

The machine reads it as

  1. de
  2. dy
  3. ego.
  4. XFa
  5. Ergo dx X + dxa
  6. aegu ydyue
  7. seu 2 xX + ax
  8. aequ 2 77
  9. seu gyaego +2ax
  10. texnatum
  11. togarichmoa
  12. quia saZ
  13. est log2
  14. A Byee
  15. AB aequ. b. BC aqu
  16. AB aequ X A. B aq B b.
  17. BC aequ y.
  18. in gerere
  19. 1B. CaequfX. 1Ci B. 1B. P.: . f XC,
  20. Ergo 1B1 P aequ H. X2.1
  21. fiet 1B1P aego X
  22. 2C-1
  23. Ergosfiet X
  24. -
  25. fXC
  26. 2e-
  27. seu b.
  28. sit faequ. e.
  29. 26 =1 esse aq. 0. se e aequ seu curvam esse parabolar
  30. si deberet esse X aequ X fieret X2C-2
  31. C - 1
  32. a aequ 1
  33. ergo e aequ. 1. seu curva quaesita erit recta.
  34. si deberet esse X
  35. eC -1
  36. aequ X+a,
  37. ces non poterit e
  38. esse constans Est autem f X aequ y. et uosus
  39. est X. aequ X +a. Ergo X. aequ XX + aX.
  40. 2
  41. Est autem X aequ 3 et X aequ 7Z. Ergo 77 aequax tax
  42. Ergo f aequ. 3. Ergo X
  43. Unde aequatio
  44. 2yy
  45. XKtax
  46. seu
  47. 20
  48. XXXAax
  49. log. X
  50. 2y y aeg.
  51. nta
  52. aequ
  53. Xx+ax
  54. aeq. log. xtax de
  55. Ax X
  56. log. X2X + a x
  57. XX + ax
  58. Elogx log. X
  59. aequ log. XY = aX. e Aydy XXtax Y lugu
  60. 429
  61. log. X = ta
  62. loq XX + aX
  63. e
  64. aequatio differentialis
  65. log. X
  66. Iupax
  67. XX + ax Unde habebitur
  68. sed jam aliunde habetur alia
  69. aequatio differentialis ex natura problematis, unde
  70. sequeretur c aequati absoluta verum o hos
  71. nimin efficeret, tentandum tamen, ut res accurate pervesti
  72. getur. Imo fortasse non salis, quia ita devenitur nunc ad
  73. differentias differentiam. pon ponamus unitatem
  74. erit eo casu loganithmus XX + ax
  75. aequ
  76. log. X
  77. Silam, poncolg semper logarichum unitatis esse 0. logaribhmus X
  78. sit ergo necessario log. XX + ax erit 2C
  79. memgre
  80. quando xx xy. Xx +ax. sed inteocasum non este dabiles nsipla
  81. aeg. 0

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 23, fol. 5r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068041:0009?run=73