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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 64v

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. 63r); this page is its left half.

The machine reads it as

  1. Sed quoniam sb exitum nimis inexrectatum suspicio est de admisso
  2. calculi errore, ideoque in numeris ista expi experiri postea operae pretium erit
  3. interea calenlum ab initio Entrahi potuisse arbitror, sup unde ab
  4. aequatione 24, ponendo M pi l + m
  5. Esto Xq il ntim n, b X Hl +2m 0. fier:
  6. X AX + ulm, XaLorm X A+LX) a+ EmX - 2lm
  7. A..
  8. sumamus jam aequationem, qualis est
  9. ab initio prosita, () num. 5. ejus numeros
  10. nostros accommodemus, ponendo eri o.
  11. +m.. -fIV.. - 4l m
  12. v- l.
  13. 2n3)
  14. ulm..
  15. =21 m .
  16. =a m.
  17. +0 4219
  18. 26
  19. fier. X + 9gX. A Cha. po. Sed nunc video, utilius esse ut aequationem
  20. sumamus iuneralem, quae statim ab initio secunto termino neareat, quo liceat com-
  21. parare, cum calculo jam facto, nimirum sumamus:
  22. x +A Cx+ un XK
  23. X + L +2 X+3 p
  24. Unde jam faciemus:
  25. 2+1CX+ 2Z6+3 0. fier:
  26. +
  27. na 2
  28. +65Z
  29. +2 X +6 f.
  30. +6 = +6 1
  31. + + 11 agZ + 6a h p.
  32. (61) pro Z ponamus l4 x fier. l4 ∞
  33. 2a
  34. vel divitit omnibus per 893 sa
  35. a
  36. 24X +H9 + 6a t. Bo
  37. a
  38. fer: 13 + as X + 1 ag x1 3e h B0
  39. X + B a fX + 1+ a98 + 48 a R p pro Z poramus IX- 6f
  40. qu
  41. 14
  42. seu ZH f 2 X- .f.
  43. et y3
  44. 1I
  45. B
  46. ita eoteer
  47. BIBLIOI
  48. qy
  49. ∞a Y
  50. +1
  51. 2
  52. a pa C
  53. acO
  54. a
  55. 4
  56. 118 +0 ut fiat X, - 2 + 4 B 2.
  57. LB-
  58. 25X 464 X - 8f
  59. 26 + 12
  60. L3qu
  61. 2a2
  62. +34
  63. 2a
  64. 1X)Esq)Xs
  65. f .) (-12957).
  66. a b4
  67. jaga
  68. +24(3
  69. 2cf
  70. rfag
  71. n Z1L 2f et 21
  72. substituendo
  73. unde orduiando puagendo
  74. has valores in aequatione fier
  75. vel divisis omnibus
  76. per
  77. 543, vt inde habea
  78. Eubus in cognitae purus
  79. (60)
  80. 62)
  81. o
  82. 26
  83. 18
  84. 28
  85. 6)
  86. 12141
  87. 30
  88. ilte aequalid
  89. factu
  90. sequens
  91. A X q
  92. 144aag.
  93. t ids
  94. Nunc aequationem isti similem ex
  95. ipsis radicibus excitemus:
  96. Nimirum ponendo Z B 1 fier X
  97. sed antequam pergam ultri
  98. Praevidendum est aliquid,
  99. H- 2. XA O
  100. unde incommoditas orct A
  101. X
  102. posset, nempe confunduntur hoc modo, quo
  103. 3 et 2. in quadento et cubo, et qua–
  104. i afag
  105. uti coepi numeri essentiales ut est
  106. dicito cum ut in binomiorum quadratione unt cabatione paret, um acciden
  107. talibus, qui literis aequivalent unde fit,ut numeri literis. quibus adscript.
  108. ritalem.
  109. sunt non consentiar, quod si s eronentu, impedit tamen probe cla

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 64v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0128?run=74