Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 372v

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: 0.78.

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. 371r); this page is its left half.

The machine reads it as

  1. X = 30 V + 31 + 32 + 33 etc.
  2. ex = 1, 30 -172 - 2. 30 - 3. 24 e2t
  3. X = 30 v + 2. 30 3V + 2. 30. 32 + 2. 30. 33 + 2. 3034
  4. + 31. 31 +2. 31. 32 + 2. 31. 33
  5. + 32.56
  6. -. 2 38. 34
  7. =2 1. 31
  8. E P. E2
  9. Xdx = 1
  10. Xdx = 1 2. 30. v 4 1. 2. 30.31 F X 9 2 30. 2
  11. 1pr. 3.3
  12. avdx = a
  13. XVAV = 300
  14. 130V
  15. 3IP
  16. XVAx = 1 230 4. 2. 1031
  17. 32
  18. br
  19. -1. 2.30. 31 -2. 23034 - 3. 2
  20. 2.31. 32
  21. 3
  22. 32.32 2. 32. 33
  23. ubi video 30 = 1 et seu 30 + 30 = 0, ubi 30 vel est1 vel est 0. Et quidem pt esse o, si adsit
  24. a
  25. ado
  26. et etiam 31 fiet 0 habeliturque 32, et 33 etc. sed si sit 30 = -1 fi quod necesse.
  27. foret, si abesset t-a, fint -a + 31 -30 quod absurdum, nam fieret a = 0 Ergo t
  28. si in aeq. aadu +Xy du + Xyax + aydx = a X dX sit X = b Z C V et y- m Zu tiB
  29. nihil to frustra haec agimus.
  30. fint dx 3 b dZ + edo et du - maz + ndv, et fet Xya b bn Zb
  31. i
  32. as maq cxy
  33. nav
  34. aa A3
  35. xde
  36. = 4 du Xy Adydx Xy =
  37. ad sit v - t b bet c0v = 2 ay ci, atb = C - cb + Cb sit ergo v = 30 + 31X + 31 X etc
  38. a
  39. fibt 1. v = 30 =
  40. go 30303 30
  41. quod si jor. pro v sumamus co
  42. + 3,2 X + 2.31 32.
  43. 303
  44. 303
  45. + 3pX
  46. 3
  47. et sibaequalio - a du + adx + xdeo =0
  48. patet co- 40= 41X-42X, eodem
  49. modo haberi ex Y, 40, 41 42, X, a
  50. ut N = 30 =3(X = 32X habetur
  51. ex 30, 31, 32, X, a
  52. et quide 31 et 41 =0 erqu
  53. 0
  54. est solum in 40 etc2 in 32. unde
  55. si lollas a per 42, et inquiras
  56. ex X et gr (uti haberi pb ex X et a)
  57. titues in valore ipsius co per X et q
  58. 30
  59. cujus itide datur vator Ecyb suberesset ut inveniretur haec
  60. Pro 32si u 42 substitues 32
  61. curva: adco: coa na + adu 4Xdio =0 ubi jes licebit
  62. explicare coper X, et habetur solutio facilis per seriem infinitar
  63. ana
  64. a ded=
  65. sit lenim X = 50 +G eo + 52 Co +53Cd etc et tt ao x a,
  66. Hik aee
  67. 31. 33
  68. en Do
  69. as ryta
  70. X
  71. = 317 X = 31. 32 X - 31, 33 X
  72. 12
  73. + 3D X +3141 31 X
  74. 2923
  75. 303
  76. + 313 7
  77. .31. 32
  78. L2. 31132
  79. +4. 34 ero
  80. ara,
  81. xAdo=
  82. ressix-
  83. M. 51Cd + _ 32Co + L. 33coe
  84. +50 S 52

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 372v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0740?run=74