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Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 24r

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: 0.75.

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. 23v); this page is its right half.

The machine reads it as

  1. 208 162
  2. 2qu abc
  3. Dy argo a X + ab
  4. 2y equ X X - a
  5. oaatb
  6. +2 l.5465
  7. 54 ap 1654127 - 18 -9
  8. aequ. 0
  9. 216
  10. 129 - 729, +243 -27
  11. 8) aqu x - 3 2 X 1 3aX- a
  12. s =2q
  13. aqu BZX + ae lo X - 8 a2
  14. 83 2 414 1 2aq 4
  15. 12, 2 + 13, 3 fe - 63 aequ. 0.
  16. - 162
  17. (Frg (2,129 + 162 (F729) - 108 - 54
  18. aqu N - 6y4 + 6ZX + gy X - nyZX - 29 +37
  19. 26Zβ
  20. a
  21. -1ZX aetix + 2a 2X
  22. =4b
  23. 13462
  24. Ergo X = 3a X - 3Z X + 3at X + 8 a ZX - a aequ. 0. Xaqu atb. +C.
  25. +2ab..
  26. reg rn a4 +
  27. 2td
  28. 729 -79 = 216 +81 + 72
  29. Habemus ergo duas aequationes:
  30. 75+
  31. +216
  32. X - 10 a X - 28 X 4 17 aX, + 124 a Z x - da
  33. 79 r9
  34. 430 ab. X
  35. 216
  36. +8a62 aequ. 0.
  37. +48abc
  38. X - a34 X - 9Z X3 +3a X +8 aZX - a aequ. 0.
  39. +Zaeb. X
  40. deniue per dicta sigua C
  41. V +a2
  42. (Db (1729), 432 + 216, + 72
  43. P2X + 3a N + 6Z X +8ab X + 8a Z X
  44. +6y2
  45. 2a aequ. 0729
  46. +47
  47. Si aequ. 3. subtrchas ab aequ. X fit
  48. 3X - 6a X - 24Z X +3a X x aaqo
  49. -64
  50. seu X , - 2a X 8qX + a X 0 4
  51. -24b p
  52. 729 48b - 216 - 27
  53. iler
  54. seu X - 2a X - 8 fZX + a
  55. frustra erio addatur aequationes subtichitur aequ. 3. ab aequ. 2.
  56. Si addantur fr aequ. 2. 3. fier
  57. (6)
  58. +X, X X = 8ZX- 43a X 2ibae Z X + 2a aequ. 6
  59. nus
  60. = 216
  61. -10ab..
  62. -351
  63. 144
  64. = 2442
  65. = 1272
  66. 59- 18
  67. e
  68. Ex omisus his aequationibus seunda maxime = i2
  69. probanda videtur.
  70. aequ. 0
  71. Utile erit tertare quomudo hae tres aquationes per viam munerorum
  72. Potuerint inveniri
  73. aia
  74. abs
  75. +da
  76. +6X)
  77. X ag A +ab X
  78. habe
  79. du equa +
  80. 3a b + gab
  81. Erpo a, Crqua + ab
  82. 32 1 1 16abc
  83. C2) 3db2
  84. 432
  85. 486
  86. 351
  87. 14+
  88. +ab

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 24r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068217:0049?run=74