Leibniz Legible

Machine transcription of the Leibniz Nachlass

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L Br. 827 · Schöttel, Th., fol. 53r

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: 0.80.

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. 52v); this page is its right half.

The machine reads it as

  1. novi et insignis, quia ex aequ. 1. Duici possunt aequationes 3
  2. et 7. Ideo ex ipsis conjunctis formari potent
  3. aliqua quae quae semper poterit aequalio aliqua tollens transien
  4. dentem quae deinde comparari poterit dato. Haec consi–
  5. deratio spem mihi facit solvendarum omnium curvarum
  6. Tangentialiter valarum.
  7. Esto aequ. 1.
  8. e
  9. l RM
  10. 10C tB1 +V4 P
  11. Esto aequ. 1. 4 oco + ne 100e + ooZ + 210C 2Z + a
  12. Esto aequ. 1.
  13. N
  14. d
  15. Unde differentiando secundum e, fiet 1004 100 + 2. 210 eZ + 20 et fiet
  16. C = - l = 1003 : 2. 210Z et ee = b +2. 100h + 100. 100,: 4. 20. 21042
  17. v
  18. Hinc ex aeq. 1 fiet 000 - 100. (a + 100) + 010Z + a
  19. 2, 202
  20. + 2. 100l + 100,100
  21. 4. 2102
  22. et fiet e et pro Z et V, substituendo X ut y, fiet.
  23. (3) 00024. 2107- 2 b 2. 100 - (2)100. 100 + 4. 010. 210 ZY + h7 + 2. 100 b (L 100. 103)
  24. sed differentetur jam aequ. 1. secundum Z et v, fiet aquatio quinta, nempe
  25. (5F0, et fiet
  26. sit ex 5g. 5. fiet ee = 0 dZ + edv b,: 210 4Z = (ex ay.1) 6004100 +01eht e
  27. o 010 dZ + 210 eed7 +e de C
  28. tie
  29. e 110ZdZ- 400dZ, : 101Z C
  30. et +1
  31. q V ZdV = 000dZ + 100, d7 + 0107d
  32. odZ 000dz: 22
  33. abb. f
  34. + (4b- s1)
  35. 210Z, pt
  36. es
  37. seu C = --
  38. et fiet 000dZ
  39. Y
  40. d2
  41. 2102
  42. AV
  43. + Cb d
  44. et ereg. 1. fit eB + +1C + ov +. 01oZ =0 L+10
  45. et fiet
  46. e
  47. di
  48. 6
  49. d - 100 Z - H dZ
  50. 2. 2102
  51. h +100 +
  52. 2. 2104
  53. et si pro = et e substituatur X
  54. 2.2103
  55. 2104 , 20 + 2. 100 h + 130. 100 001 - 010Z
  56. mon
  57. A. 210. 210.22
  58. (2V + 2. 100h f 100. 100100 + 010Z
  59. =4. 2V. 2X
  60. et Y fiet aeq.
  61. Jam
  62. Quanlitatem
  63. et 7 tollendo aequati
  64. habebitur aequalio cangentialis secundum
  65. et y construenda per aequationem tranpcendentem ad.
  66. ope aequationum d
  67. sumus aequationes 4 et 7 debent
  68. rauscendentem B
  69. reddere aequationem d. Nam sunt duae aequationes
  70. (2
  71. Cun tamen
  72. si recte ratiocinati
  73. fantentiales diversae, ad eandem curvam.
  74. iptae, + At, 7 non sint ductae ex eadem 3, sed ex psa 1 diversis
  75. plane suppositionibus
  76. PP +
  77. ce +
  78. 2102

Cite

L Br. 827 · Schöttel, Th., fol. 53r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 79). https://leibnizlegible.com/page/DE-611-HS-867168:0105?run=79