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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 184v

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: 0.77.

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The machine reads it as

  1. 4
  2. hic jam magna dificultas
  3. quomodi possibi liceal futo ex senebus
  4. nfiuitis per regressum eruere finitam
  5. X+
  6. E relationem. Num ita fimitam enemis
  7. sud determinati progressus quod non est
  8. sates determinatum,
  9. remedium
  10. od ibi e videtur ades
  11. sit exddy=y ard
  12. etiam non solum adcibetur posilo ddx =0
  13. sit y = 11X + 1X + 13X + etC
  14. X Ady = 1.11 4, 12X + 3. 13X + 4. 14X
  15. deus =. 1. 2. 12 +2.3, X +3. 4. 14X et
  16. et XX ddy = E2 112. 12X +2.8X3 + 3 4, 14X et
  17. = 11X - 12 X - 13 X3 - (, 4X eu
  18. Idque probe notandum. Cum
  19. t alias ista impossibilia non videantur. impossi–
  20. quod est impossibile
  21. bilitas a oritur cum id ipsum restituitur le ipse
  22. ed pelittum cum idem ubique grabus ut xxddus
  23. y,. quo casu evanescit constan-
  24. um evanescunt ipsae quaelitae, et oriuntur aequa
  25. sed sed pari jure
  26. +
  27. xdy,
  28. ts
  29. absurda esset aequilio: Xaque L _ ydx
  30. tiones impossibiles
  31. lamfir sit y - 1X = 12X + 13X et
  32. iy = 1.11 +212. X + 3. 13X tM
  33. et fiet +1. HX + 2, 12X + 3. 13X + ecc 2 = 9
  34. = 1. 12 - 1. 13X el
  35. 3
  36. Qualio
  37. est impossi
  38. ali. Et tamen data possibilis videtur. Quid ergo:
  39. a L 12
  40. - 1. 11
  41. fati an hoc indicat rebere fieri yL 1 + 12
  42. X
  43. a
  44. 3
  45. 1
  46. 3X
  47. A it-
  48. 13
  49. ila rumpitur
  50. concursus incognitarum recum ipsis earum
  51. etet du = utt=
  52. et
  53. 1. X
  54. 2X
  55. C+ adxar
  56. sit ax dldu = y dXaxtiola +1. 2. 12X + 2. 3,13X +3. 4 14X e
  57. 2E sublatorius
  58. C-10 = 11 X ~ 12 X 413X er
  59. fit 10 = a et sed 12 = Z H et 1 = 1I XIC
  60. et y= 10+ ux taxeu
  61. et 14 = f. 2. 2.3. 3. 4H1 et fit y = a + = X +
  62. 2
  63. 2
  64. 1. 2
  65. +
  66. 1.203
  67. 1.2. 2.3
  68. 1ZX F
  69. M. sid mirum idem prodire
  70. nisset aequatio t plena,
  71. G alia.)
  72. e aut ddx =0, prodiret idem, et tamen diversa
  73. t
  74. 1. 2
  75. 4X
  76. ed quid sic
  77. aequationem differenlratem
  78. c primi gradus ut suxu vdx, + adu + adu=
  79. 0 Led
  80. sumamus
  81. dydx +yddx +oddytgdus + addus-
  82. curva
  83. inde invenietur muntis ore nonc e per seriem pasito ydd q = 0.
  84. rbret
  85. disterentiando
  86. e
  87. ipuissut agax t adaxt yda + dy + ady. fed
  88. lormus hanc posteripe non esse possivile. ec licer sic fingne
  89. sed eadem serins prodibit
  90. e
  91. quo a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 184v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0368?run=74