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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 164v

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.

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The machine reads it as

  1. s
  2. tequatio sit data 100 + 110y + 101 dus = 120yy = 0
  3. V + gdv + Y =0 fiat quae est aequatio jam inventa solubilis et fiat
  4. M
  5. = m:y fiet de = +i y ydn - mdy,: yy et fiet
  6. aeo et fiat CD = M EG, do ydm + pam D Mdu Pnd
  7. et
  8. M
  9. 9+P
  10. ut
  11. enam
  12. ytpe
  13. y y + 2p y + pp
  14. gGam-qmdy
  15. y
  16. . Ergo fiet
  17. qam qmay + qpam qudp L.
  18. M + nI
  19. y + P
  20. qu (y+p)
  21. do -
  22. rpp + 2Y py = ryy
  23. Y
  24. = 0
  25. gndp y
  26. lm y inn
  27. AlpuL)
  28. +. Y. 0. unde Ipam
  29. vam +pam + yy an (tgn du) + pndys +pysdn- Mdy - m ap A nydus nyap
  30. mm
  31. +q pdm +gdmy tgen ju + Opndu
  32. Gmdp +qpdn y
  33. alpm
  34. di
  35. =im dy
  36. mdp
  37. qu
  38. y+ p
  39. 100(+ Hojy + 12y + 10idy
  40. 4 + = qpn = 9m, , : 101
  41. am
  42. f- 120 qpn - 2em - gdn-mn
  43. 2Y = t 11C 9 - ,109m - 9dm - qdn - qu dp - m - n
  44. O1
  45. 101
  46. fit 160 gn - 140 om - qdm - gan = gn dp - m - n = 1oqua 2∞ qu
  47. Ol Ep
  48. 101 P
  49. rursus Y = 100qpn - 1009m = quam - am dp + pm, : p p = 120 aph - 20gm- qdn - min
  50. si faciemus
  51. en
  52. 101
  53. 101
  54. 101
  55. mn = m , evaescetq in priore aequalione
  56. 101
  57. 2
  58. L nn nan, B, = 0
  59. -Lmn = = m =n, evanescet q in priore aequatione, et habebitur
  60. utrobique
  61. P
  62. P.n = 110 M-
  63. si faciamus mm
  64. per alteram, et es priore aq. fiet 11
  65. 101
  66. q = Aon - 1d0 m - din -dn -n dp - 120 pn + 120m _, :,3
  67. 0
  68. 2. 101
  69. 101 p
  70. 2. 110
  71. 100 100 pn - 100 m - pam - mdp - 120 pn - 12empe
  72. Ol
  73. pone E esse = 1, set a = 101 :, pn = m = 100 = rpp - lp m: pam- m ap
  74. Ie
  75. 101
  76. - 120 = 101 dn (:, pn - m1) - Imn = L 110 = 1101 (, pn - m) (dm + p an _ = n dp). - Im = Cn
  77. 2. 101 2101
  78. et 101., p. n 100 = ef prictem aqu. est r= 101 pam - 101 map - (100 - lpm) (pn - m),: pp n m)
  79. 120 - 101 du (:, pn - m) - lun, et habetrus bis,
  80. pamatur
  81. log m = log p + log. C
  82. n Cp
  83. 2it )
  84. dumn

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 164v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0328?run=74