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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 102r

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.

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The machine reads it as

  1. X. = X + 7
  2. A
  3. X
  4. X- 1
  5. 2 _ = 2
  6. X
  7. =
  8. =
  9. 2X1 = X
  10. X -3
  11. X
  12. =
  13. s X 2
  14. (-2
  15. S
  16. 2 X +
  17. x 2X3 -1 - X - sX
  18. SX = X8 X. XHI 1 X. XFY XX +X - 2
  19. a S + b sX + c fX + e sx + fX + g = y
  20. differentietur
  21. a sx + bs x + cs x + e X + f = dy
  22. _ si a = b = c = e = f = g
  23. fiet y - dy = sX
  24. .ASI.XAE. XAZ LAX X. XHI, X+2, A.XFI + X = XB N. X11. pt 2 + 3. X. XHI + 2. 3X
  25. T. 2.3. 4.
  26. 1. 2. 3
  27. 1. 2
  28. XCI +xX = = LY
  29. ()
  30. hiX +, L XX
  31. X. XHL. X2 = 1.2X 1t2 XX, + X
  32. 1.2.3 1. 2.3
  33. l. 23
  34. 1. 23
  35. XXH. X12. X+ 3. = 1. 2. 3 X (1443 tx 3XV
  36. 1. 2. 3.4 = 1.23.4 1. 23.4
  37. (X = BAER IBLIX + 12pX
  38. X = 11+ X
  39. 1. 234.
  40. 3X (2) + 3Xx + X
  41. 11L XX 11Z. p +X
  42. 1. 2. 34
  43. fit 12= h
  44. S.
  45. 42. - 1
  46. Y = 10F 11X + IXX 1 (3X + 14X
  47. dy = + 1 _H.
  48. + 12 dx +2. 12X
  49. + C3dx +313X + 3. BXX
  50. l7 14dx +9. 14X +6. 14 uX + 4. 14X
  51. voc t
  52. 153. I. 2.3. 2
  53. GX, ux 168 X
  54. 123.4 125, 4) 1o dx - 11X = 12 XX - 13 X. 1 127+ 124 41439 3
  55. fit 14 = = 1 234 = in3 4 = 23. 4
  56. 2 + 2. 72 X
  57. et 2. 22 -
  58. 3. 23
  59. fit 23 = 23 et 22 = 2.2. 3 et fit Hx 421 = + - 23 + 3. By X +3 2XX 3. 2. +2. 3X = X
  60. N =. X 1X + i XX F 3∞ + 14 X 115X fit X = n 1
  61. fit 1 = - ((2F13+ ex) n = B. 3+ 4. 4 + et X
  62. _ 13 = 6. 14 + 10. 15 + etc
  63. 13- 26. 10. 15 +410. 15
  64. sis
  65. 3.4.
  66. 1 = X
  67. fx Gx 1 - X - (X - sX
  68. 2
  69. 2X- 4, - x - sx - _X - s3X
  70. .2.
  71. 2
  72. 1
  73. 3. 13
  74. 5 = + i2 ergosp= X - tZXX + S X
  75. X
  76. ubi emini aequantur
  77. 1. 14 4. 14 6i14 4. 14X a nihulo praetersumum
  78. 5. 15
  79. 14 - - 10. 15 0 s
  80. n 12 substituratur 13 et14
  81. 10 15 10 15 5. 15X
  82. o v + etC
  83. X = si sx = LX + LXX. fit XX = 2 sX + X X =
  84. XX = fxat 1AX + 12sX. 2X X 1+ 2X = 11 + 12X fit 11 = 1 et 12 = 2
  85. X= uX + 12s + 13s(X fit 3F 1 + 3X + 3XX = 11 + 12X + 135X fit 1 = 1, 12 = 3t 3 13 -2. 3
  86. ix tir
  87. x = 11X + 12 sX + Bssx a + 12X + 13 sX = 1 + X + 6 xx + 4X = 1 H 4X
  88. unde X = 1X + 6 sx +. 6 sX
  89. +16X + 2.6FX
  90. fot p = 14 X + 36sx + 24 sX. quae quaun c tentanda ad regala. I. 4X + 46 sX + 4. 6 ssx
  91. H fxX SXX = 2H X s_ + 2AX SN = sx + 6 sx +6s dictio
  92. si omnes formalae expottuntur per summas et summas summarum facile summabuntur, et summi-sumnabuntur
  93. Et si vicissim cujida, summae aat summi. summae habeatur valor per potentras faciissent regressas a pemimis
  94. ad potentias
  95. 2
  96. 102
  97. 20 4
  98. 409
  99. fit 13=24
  100. 12= 36
  101. 1= 14

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 102r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0201?run=74