Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 57, 1 · Bernoulli, Joh., fol. 111r

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: 0.72.

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. 112v); this page is its right half.

The machine reads it as

  1. 4
  2. dc: esse aptater 7 = y, quando sclicet X fit = 1. hine fiet differentiando seriom
  3. Xt
  4. p2
  5. 12 1.23 125. 2 ec:-
  6. + + X
  7. ds -1 = X 1
  8. ac
  9. XX
  10. 1.2 4
  11. X
  12. +22
  13. Li
  14. ablato itaque primo termino t provenit series idlentucae
  15. 12.3 r2QC: de consepienter = i. de proinde cls =- ycx + dx
  16. qua agilatio ostencit is seu potius s + 1. esse numerum ipsius Xx sul unitatis.
  17. laterum reperio seriem lavr, + in + ins t in2 cs esse aqualem subie alteri, +
  18. 16
  19. i 12q 12S.qS_C. esto jam querenda summa hjus seriei = Y 24 Y 2.46
  20. +
  21. 2.6ues Tiat.
  22. 2t 2 226 C yideogue X + 2 +
  23. s
  24. 1
  25. X 1 X
  26. transposito X d divisa cequatione per X, habeli Ad
  27. c
  28. + XI
  29. 2. 4
  30. 1
  31. L
  32. 2.4
  33. + F1s XC = yA di YXcX + XeZ quae aequatio (posito XX ~ = Z) reclcitur ad prae
  34. ax
  35. X
  36. ad est
  37. ceclentem. Auod etiam alia via invenitur faciendo XX = Et unde = + 5. Z L
  38. 225 Hc: = 2
  39. 1
  40. vit L 202
  41. L4
  42. 2. 9.6
  43. de
  44. 1.2
  45. is Nc: quae serces ulique similis
  46. est preceente. auando ven clenominatores componuntur ex numeris imparibus
  47. aqulatio procit omniro diversa ab illa praecedenti: ul si proponatur +
  48. +1s 1.5 c: proindlege siat X +
  49. (+ XX + X
  50. 1.3
  51. dis
  52. 1.2 seux
  53. +
  54. ax
  55. X
  56. X
  57. 1.5. 5 +
  58. +
  59. d.l3
  60. 2
  61. I2s.7 c poi set = yd
  62. X
  63. 1. 5
  64. +5
  65. 1 X
  66. dec: =y habe-
  67. 1.3.5 135.
  68. bitur haec aeguatio cly =xyclx +x qua, cum sit specialis casis aequationis à fra-
  69. tre inaetis nuper proposita, d’ au se d ame solutae, potest per nostrus ale
  70. methorlos ulterius recluci ad alium aljus indeterminatae separari possunt. Eiclea-
  71. mus jam gulie proventurum sit e sue generali serie à
  72. ats a bat 8 _c Ciontelligo per ad b nuneros quoscumple, ita ut a, a +b, a + 2b, at
  73. va
  74. 36, 4e faciant progressimem Mrillemelium qlamuorgue) faciamts es co X
  75. patib
  76. Ya ∞atb-1
  77. a. atbat 16 , unde
  78. divisa agulatione per t
  79. ert
  80. a
  81. r. t2b- 1
  82. a. a +6
  83. cis
  84. 16
  85. cx
  86. et 36-1
  87. rato
  88. +2 a+b
  89. a
  90. auto. atio. d: transpesito a-1
  91. b
  92. va
  93. rato, Xa+2b
  94. Si ie quod hare sugyerit aeguationem cles =y2-1
  95. cx + Xa dx
  96. de

Cite

LBr. 57, 1 · Bernoulli, Joh., fol. 111r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-958803:0223?run=74