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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 205r

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.

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. 206v); this page is its right half.

The machine reads it as

  1. X = im 10.
  2. sit b X + cm X + e m
  3. siteer
  4. bX3 + cm X
  5. sit h X + lm
  6. X-rmn -m pC
  7. X3 + lm X - 2muh. X
  8. + β..=hmi.
  9. 2lma B
  10. - 1m3
  11. = 2mul m
  12. Componantur hae duae aequationes, et ut superfluae m+n
  13. vel mnt destruantur, fiat:
  14. c - b + l r 0.
  15. -f = β 1c
  16. adeoque fH d. β H - d
  17. Adeoque ex compositis aequationibus proditit:
  18. _X Ac emB X - e m
  19. = l m3 sBo. vel
  20. (+ 2lmud
  21. almad
  22. C - c ∞hr0
  23. f- d10
  24. =emn - 9 = -lmn Y0
  25. bp et1
  26. eti eh
  27. X x - mn X
  28. Sie X ( -3 ma X
  29. Dr) unn
  30. - e m3
  31. et, +1
  32. E) n n
  33. Quare si id agatur ut summae exporestatibus destruantur, non alia aequatio prodibit
  34. quam quam quae fuisset si simpliciter cubum quaesivistemus ab X, es Nam si Xp in +n
  35. erit X hmn X +
  36. X e m + n + b.
  37. Adeoque:
  38. prosis
  39. 150m b
  40. -27 mub
  41. e eut X H +m
  42. 3mn X, suc X p in
  43. (5 mn m+r, +b3 +31Y
  44. n + b + m +3MX
  45. hut Hi gnib nex
  46. X m
  47. - 5 (Bb X= Z (+emn3 b2. X
  48. ∞5nbEN
  49. Jmub X
  50. +embin
  51. (+enb3m
  52. +15 mub X
  53. - smn Bl - 5 mub 12
  54. mb 73
  55. b 13)
  56. Calculus hic fit justo prolixior, et
  57. ut arbitror sine fructu
  58. 3mX m . Imub
  59. b 13mbin inba
  60. + 3bX +3ma X
  61. mub Error 3b
  62. emnn ivmul 1bex 7 embm
  63. Emb n 63 anx
  64. Sub Rn 21z mub - 3n X
  65. ma X3
  66. Emn
  67. s interea memorabile est esse: on m + mbrm, + nbe H
  68. ar gmM X = 9mub, si XB mAn +b.
  69. X 2 tdum i, +3ab X H m 2nb n + 3Bm X p vi + 3mb in + 3 In X
  70. componantur inunum, fietque (3pi Astun n + x 2 soenbX
  71. +Sab n
  72. G. 3mab mb im
  73. re ien
  74. ditm
  75. In M X
  76. n (x3
  77. Xip m smn d niri a B
  78. B HaBX ca b X
  79. Etror B6X
  80. XH hmn a + vit
  81. N 1 3bX - 3b
  82. FXbX
  83. a +p
  84. -3 mnb.
  85. Anc patet theoremata morabiliu
  86. c. g hmn a +3m B + 3nbY
  87. et r mna
  88. +27 mub H 3mtr X
  89. 5mbB3 H 5ma X3
  90. Snby
  91. nE:
  92. Gd-2m bn
  93. um X
  94. + X
  95. -10 mn b3
  96. + 150 in nb M
  97. terende umn
  98. romnbr X
  99. Inter regulas artis hun
  100. ut non ipsi eligamus sed
  101. umnaturae ipsi relinquamm
  102. exitum; unde caele
  103. paribus tres calculi sunt
  104. gungendi
  105. Znl X. si Xp in + n + b
  106. X H n

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 205r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0409?run=74