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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 319v

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. 318r); this page is its left half.

The machine reads it as

  1. 100 105 - 100.
  2. lod
  3. s
  4. 1000 Eooc
  5. 100 10000 1000000
  6. 100. et = - = 1 + 001 + 000eI + 4000051 + 00000ral + 00000 000VOI 400000V00V0VOI
  7. 100-1 (00 -2 1c-3
  8. 100 2 = =- = 1 + 002 + 000b 4 7 0000008 + 0vo0 av16 + o o0 vr 134 40000000000064
  9. 100-1
  10. 0c
  11. 100
  12. 1- 100
  13. 100-3
  14. 100
  15. = 2 =
  16. 12
  17. etc et
  18. 100+1
  19. 10
  20. 1F003 + c9 +00000D7 +000000VXY 4 00000000243 + 0000000000729
  21. k et et et
  22. etc
  23. etc
  24. - = 1 - 003 +0000 9 -00000027 +0000uav B1 - 00 v0v050243 +00000000V0 7X)
  25. 10072 = 17 700
  26. 100-
  27. etc
  28. = 1 = 002 + 0000 4 -500v 400000 16-00000032 40000VV64
  29. 1100
  30. 1
  31. 10013 1 + 700
  32. etc etc
  33. et etc etc etc etc etc
  34. Ergo ((100 + 100 + ete usque ad 100.) + (100 108 + et usqe ad 10
  35. 100-1 100-2
  36. 100 -99) N1voF, 100 +2
  37. etc
  38. =100 s(= + L + het ud =
  39. 1c +99)
  40. 2 3
  41. erit Se+ Snam funt 199 + sum pueidratorm + Sum biquadr. B + sun. bicub fg + etc
  42. 10000
  43. 1000000 106000 100000DWV
  44. eliduntur autem naturales, cubi, jurdesoludi, seu dignitates impares
  45. termino
  46. continuare licet quousus libet, error est minor summa sequente
  47. Nolatu dignum est series signorum non alternantium, quae fiunt
  48. 199
  49. ex alternantibus per elisionem, participare de hac earum commoditate
  50. ut erpor minor sit termino sequente
  51. isem est si nro 100 sumatur numerus cquicuaque, ut pro ut scilicet
  52. su assumuntur tramionii seu recipioci summandi
  53. procedendum est eousque donec sumna dignitatum exiguam rationem
  54. habeat ad suum divisrem
  55. Haec methodus non potest esse utilis, nisi quis tubulam habeat
  56. pro summis potentiarum aliquousque produxtis Ni faltor Tabula talis
  57. aliqua est videndum un talis Tabula sit e opere (ergusonis
  58. + 15 + etc = 2 = (1) + 1
  59. 1) l 9) + 2, + etc =
  60. + = + + + = t es = = = 1) +(3)
  61. 16 64
  62. vodx
  63. X
  64. Ergo 1 - = - +) XY
  65. seu , - = =
  66. = 1
  67. -
  68. -
  69. ux + d
  70. X
  71. +S
  72. ab X = 2 usque ad X ultinum naturatem
  73. CX + dy utdo - X = X+ dY
  74. quem cunque
  75. =X+ dx + X+de - XV
  76. NFd rdo - xFdx = X F (Etdx) - 1 _tde) - x = 2 X vodba
  77. et du
  78. av
  79. +
  80. Ergo (X + dx) - X = (X + dX) (
  81. 12 X. M, + 2. C-1. C-2 XC 3+ etc
  82. sit X = +a _ = et e = 2 fint d (X = 2t 2 d2
  83. Zd
  84. Eeti
  85. 2.
  86. Z. 2V + 41
  87. qu (2247d2)
  88. ei

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 319v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0634?run=74