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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 28r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 26v); this page is its right half.

The machine reads it as

  1. siltuisse.
  2. fit yy ∞ ab - cx = 2 abd + ab ex + LCXX. et tan
  3. +2 labrcx, ura
  4. f
  5. yt -2ab gy - 2cXyy + aa bb + 2 abc X + CCXX = (44460) + q ab ex F 4C exX,
  6. e
  7. X
  8. ad
  9. aLdX
  10. -2ad = 2Cx taa dd D. 2abC D2ce
  11. D2aabd D. 2acd + ee
  12. 2ad1
  13. +gacd
  14. compendio sit bxd = 3 b- d = 6
  15. C+CEK, c- C = E
  16. fiet v - 2aByy - 2Kx yy + aa6d + 2dE, + EEXX = 0
  17. 4
  18. =aa 88) - 2a5, Gy + KK y
  19. et fiet EEXX + 2adEX + aad6
  20. extrahendo
  21. =2k ju ex -2a5y.E
  22. et denique Cx + ad =. ra BCEyy = KKy
  23. seu X =
  24. EE
  25. E +KL Gt: EE aadd + 2a3yy - y4
  26. e
  27. -Lyy
  28. El
  29. = 2adEK yy = EE
  30. . Kyy - aSE +y (K K yV + 2 a βEE
  31. posiatur
  32. CE
  33. uod si proX a et 2Z. a
  34. EE G3 - 2a6Et
  35. fieret
  36. Z = 1 (aKyy aa dE + ay N(. 33 aoa
  37. redicis universalis daretur, summatio per quadratura
  38. rationales. Ponatur 4G +KK gy = HKgu BrvIKX EE + xX
  39. EE
  40. =EE
  41. =EE
  42. et fiet e y = 1 vv ra BEE + 2adEK, : a TKK- EE et a
  43. 2aSEK
  44. YRDESEgF v = vx∞ 24355+2DCH EV V- 2aBEEDEK, : v
  45. = LKK- EE y 4a0, ubi pro G ponendo
  46. et. YK EE) ad=
  47. (D 2adEK
  48. t
  49. gy = av + 4 aa BBE: (KK - EE)a
  50. 6-8 aa 3853R
  51. Y 4aaSDEEKK
  52. V
  53. aKV + 4a BBEK
  54. sed hoc redit ad
  55. valorem inventum
  56. CTrxnvytrabu
  57. et fiet e
  58. EE 5y2a6Et
  59. -a dEKK BB + Aa (ra BCE- 2ad EH) BV - (2) raBes - 2alig
  60. = BaBSEKK + aSC3 vv
  61. +4a6dEEK
  62. AD TKK -EE
  63. vdo Y.. v7 +. vv +.
  64. v
  65. Eror in calculo suit, nam
  66. 1: a TKK- 12
  67. nor intatento debebat
  68. fir y = eav - 2a BCE+ 2 aSEK
  69. quam reducibi lerme
  70. an
  71. esse ad rationales
  72. aa W - 2a β5+2adE1
  73. summas srimus dudu
  74. ponendo solum vo-as
  75. ergo ex his didicium hoc saltem hanc formutam
  76. sed nihil hic procert
  77. sequentem esse summatu haberi posse
  78. l
  79. dy V iagus +.. + y . gy +..
  80. rationaliter
  81. ad ex velgenealices
  82. e
  83. y sab ex+
  84. y = Sab +Cx+ adxx + it a + aagx + ahxX, :, X + l
  85. ita
  86. enim non assurgetur, ultra xt, ubi tamen efficiendum
  87. +
  88. interventr
  89. est, ut cum quaeritur valor ipsius x, possit is huberisine
  90. radicis cubicae. Sed si evitare velimus _ cuntio X et X, oporie
  91. fierio y = sab+ adXx + Saeftanxx, Ix+ ma, ponendo vel L
  92. vel ce n=d

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 28r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0055?run=74