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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 9r

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: 0.74.

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The machine reads it as

  1. M. + nyd N pro aequatio data f+gy + heus + K yy + lydys fssumitur in tugtpdus tgRyy + glydus
  2. Assumatur n + 44 ny + pgu + ghdus + qldus = 0) et fiat +f9 + g4)+ k479 = sed ibi son tres arbi-
  3. n = hc
  4. dm + dn y + ndy T dpyy + 2p Hdy
  5. rm t rny
  6. p = _. l9 :2
  7. Seu P = 2k - l - = +(lq.
  8. Ergo (RK: L - g: h) =
  9. seu f log 4
  10. =
  11. +rp77
  12. dp: p + Y =
  13. si sit aequatio data
  14. f
  15. (9 - dh) 2
  16. g
  17. =m = ny pyy
  18. datae per 4, seu f4+ 99y +hasdus +Kqyyt lgydys
  19. V f9 +99y +hqdy +k9yy+ l9y dy
  20. RLg: 14: 2 = 2K. l seu V = 2k: l - dp:
  21. hdq + gdl H(k h) M
  22. 99- naq- gdh Cerm i ha
  23. ram
  24. + hd 4 = Y. sed ita
  25. m
  26. m
  27. nil lucramu
  28. f + quthdy + Kyy =0
  29. e
  30. ih - d(h9) :hq
  31. logl + L logq = logh = log a
  32. vu -
  33. h du + k 9)L
  34. etk + ldq
  35. +hgt gc
  36. et habetur F absolute
  37. 9
  38. n pdp rapus.
  39. et utribiqe evanescit
  40. m+ L+
  41. Hoc ergoaddetur
  42. sit r n = hq rhq = Kq
  43. ergo Y = K: h
  44. divellatur haec aequatio
  45. in
  46. du AL
  47. Fei
  48. M
  49. e
  50. ck
  51. naque
  52. .Itaque hic non procedit
  53. du dm tndy
  54. s
  55. go dum dux ndv M+ nth_=
  56. M ny + se
  57. il
  58. a
  59. v
  60. unde don du l +ydn
  61. my + dy F du BY + n9 d fiat v = y+ p
  62. fiet +m P + my L may + dugus +ngdus ~ 95 + 9gy + ghdy +4K yy
  63. an pp + dnz du
  64. + ns dy
  65. assumatur M + ny =0
  66. dm +t = s+
  67. M
  68. et faciendo m = eq
  69. qvasila O = m + nB + SaB fit m + dn = n dB + a = 0 seu
  70. in Aequatio datao=
  71. in dp
  72. A
  73. ~ fa +94y +h9dyt k9yy
  74. restat haq +(K. t) m = 0 et am +nt
  75. a duas
  76. fit Esq hedq hqde = egq- etdq egdh - r
  77. nm
  78. g7: n - dn 2n) =
  79. +rnyg
  80. qdh + hqC
  81. Ergo fh9g- hgdm = gmq- hmdqu - in quhi
  82. 1tg 1o = log lg - logha -
  83. log. l -+
  84. dm + dn y + n dys
  85. e + rnus
  86. me tntqus
  87. + = f9 - dm, :m -
  88. h 94
  89. traria
  90. 9= 29ty 2p: l = dp: K, et habetur p nam _ s: p = 2k: l et log p = 2 sK: l et p = b =
  91. rursus
  92. dt unei estisie vrtianet
  93. yy
  94. qu mp + mdo + dapp tapap, is
  95. pet
  96. ee

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 9r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0017?run=74