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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 112r

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: 0.79.

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

The machine reads it as

  1. dy: dx-
  2. 10 + 1 ny + 127 + 138 etc. sit
  3. aequatio generalis, ubi 10, 11, 12, 13, exprimantur per x ab x
  4. dpemux destendent
  5. sit data aequi. Semper nim quod notandum eo reduci
  6. potest, si noliunque 10, 11, 12, erc. alias esse quam rationales exX
  7. sit jam aequatio data quae se
  8. dy: dx 20 + 21 y + 22 y +23y=, 3049919 435G etc
  9. a
  10. ubi 20, 2) et C, 3a 30, 3t etc. sint etiam dependentes
  11. ob X; sed datae, inam equando1 et E, fiet.
  12. B 3010 4 3 y + 32. 10y +3310Y 34 10 Jam squando letr
  13. + 30H t5F. 1Y 437. 1 F33. 1
  14. + 10 + 1) y + 12 9 23DR 31 12 3212
  15. = 20 21
  16. = 22
  17. + 13 1 etc 2L0
  18. = 23
  19. fiet
  20. curus differe
  21. cujus differentialis erit
  22. (4
  23. d10 dx + a y dx + d1 a de etc tudys + 122ydy + 133yd
  24. =d20 dx - +21
  25. = d22
  26. sO -2 = 22.
  27. ubi pro, dus substituendo valorem ex eq. 2. fiet
  28. -23c
  29. 11. 20 + 12. 20. 29a+ 13. 20. 3y7 + 14. 20. 4y + 15. 20.5y
  30. =21 e = 22
  31. ut
  32. dio
  33. = 23
  34. C24 = 25
  35. + 11 29. y + 12 21. 29 4 13 21. 3y (+14. 21. 4y
  36. 21
  37. e
  38. d2i
  39. = 22
  40. = 23
  41. tumn
  42. l1 22. 1, + 12, 22. 2y +13 22357
  43. 21
  44. 4 a12
  45. d22
  46. 22
  47. eeng
  48. +11. 23 y +1223, 2G
  49. 21
  50. + d 13
  51. = 27
  52. 4 11, 24. y
  53. ++ utum
  54. a
  55. 4
  56. iiniaa
  57. = d2z
  58. d24
  59. video autem non posse altique iri in aeq. 2 quam in aeg. 1
  60. nam si in aeg. 1 altissiau terminus sit 13, et in aeq. sit solum 22, sl
  61. 13. 22.3=0. quod Ergo et 13=0
  62. fit ergo 12=22 et di2 = d22
  63. et fit ve 14 sed itau video similiter oriri H =21 et ita porro it
  64. Unde colligunus obiter non posse ad egudem curvamL
  65. duas dan et 2 similes vel ejusdem ve diversi ccadus
  66. u non sequibur remeo ut attollatur posterior multi
  67. plitando pper allitrariam 40+ 417
  68. e
  69. 3
  70. s
  71. e

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 112r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0221?run=74