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Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 12r

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: 0.76.

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. 13v); this page is its right half.

The machine reads it as

  1. et mulriplicando per cace
  2. (nd VD C ned
  3. nd VB - ne yβ
  4. C n
  5. EPd yd =pe y C+B
  6. Unde fier:
  7. Esto
  8. pars Uta schediasimatis de seriebus et summis quadratiicibus
  9. V + V + y + a +1
  10. Mustiplicetur per y fiet:
  11. vae
  12. ommmumque fmma py.
  13. P + y + y + y + 1, y2. facile ergo
  14. haberipotest summa omnium yZ. Sed non ideo faleor summa omnum
  15. e habebitur
  16. Eximpeos, s formulam C deno comprobemus, resumto calculo, ponendo
  17. h. l. c. m. 1 v. fiet:
  18. ∞-dy- Cγ fy- 9
  19. n y + P
  20. Esto figum: d ∞3+ CV
  21. ed
  22. ny +
  23. fY + 9
  24. 1 X. Eydi
  25. n
  26. yB egn
  27. nd tned + 2lp ps
  28. nev +
  29. Ponamus f
  30. Nam.
  31. proba haec est,
  32. multplicando
  33. c op 19,
  34. dv
  35. 30
  36. + v +f8
  37. +2yB. + f
  38. tex
  39. ejus differentiae Z
  40. 3nd
  41. n d
  42. 3pdyβ
  43. 3pdVB2
  44. Pd 3
  45. +ne y3
  46. eney
  47. +bne yB2
  48. pey
  49. + 2 peyB
  50. + pe
  51. +nsV +n V
  52. +nt yB (+ p9)
  53. =Pfy
  54. + p+B
  55. dividenda per
  56. ny + nyβ +pnβ
  57. + pny + pr
  58. + puy
  59. Per: i dividi potent practio per ny + p.
  60. 2nd 3
  61. +n
  62. +3pd..
  63. nd)
  64. Dep. V + p)
  65. Op..
  66. + P
  67. epn
  68. L2dV 1+ ne y Cp
  69. rne y = ep
  70. +npo
  71. 23 3.
  72. +s epn
  73. 2d7
  74. epe
  75. non
  76. en
  77. Unde patet, ut divisio sit exacta
  78. debere npf + nsa exte e gepo
  79. Nam
  80. et erit fr Eop= n g
  81. Recte divisum est, sed jam indeo productum
  82. ni
  83. u
  84. n V +
  85. l
  86. fler
  87. 2d +ppe sepn
  88. d 2-
  89. epi.
  90. d..
  91. Etsi nutent
  92. misus dividi posse per tp.
  93. adeoque nutam mic aequalionem
  94. ad Hyperbolam brici

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 12r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068022:0023?run=73