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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 113r

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: 0.77.

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The machine reads it as

  1. Qutaco
  2. ++ ac
  3. 1n) y + 1ny + 28dy + _00aa =0 fiat 7
  4. et fiet
  5. + 129VV + 2. 12aGCdV +, aa c0W
  6. +IILqDH + II ae CsV + II. aa eW
  7. 10d EtDD
  8. 1I ac +V
  9. + 2.00aeCV, +00 aa
  10. F 21. ade tv
  11. -
  12. taa eda
  13. 21ad equ- 2 aa code
  14. +2l aCdes V
  15. = 2)a0 at V
  16. F21 F DV du
  17. El
  18. 9 - IB +aC) (vds + 9 dv + adci)
  19. (90 +aco) (ut + teo + ade)
  20. qu (Av + aC)
  21. a dn
  22. 2actde
  23. Restat tollendus terminus DD
  24. ibi ponamus 1298 + ut P = 0 seu 12g + 11 + =0
  25. seu P= uF, et fiet
  26. 00 H e = 21. 11 + dt = 21 H d 1 + 21 p t dt = 0
  27. 2
  28. et evanescit dt. quod non lict, nam fit 00 = d~
  29. 21
  30. et revera non adest nisi una arbitraria, D:F
  31. pari jure non licet tollere termnum absolutum
  32. 12
  33. Ergo aliter utamur hoc carculo, ponamus 12gy + gaque esc esse aequationem
  34. illam tam in qua (2=0, et ideo Sit fractabilis;
  35. abit arbibrariam, qualem videmus, in qua 12 40
  36. t
  37. haec transformata
  38. ea comparanda sit vatae v. g. vv dx + XV + Xxdx - aado =
  39. fiet 21 = at a a: es cot eere
  40. et hul + I1 0c0 + 00 ee + aa (e da = code) = XX
  41. adeoque 11 = XX - 00 e - aa
  42. o
  43. c
  44. Cc ct
  45. e cot
  46. 8a a
  47. t
  48. C
  49. edo -a de ), qui duo valores secundum 2I et I
  50. s cot
  51. D
  52. defent tolli ex aequi
  53. restabum binae aequationes, quatuor literamns amfitiara
  54. rerendum
  55. ne etiam intus late at, et an vero loceat explicando obtinere
  56. binas tractabiles, quanquam revera, haequatuor non nisi pro
  57. tribus computari possint sb valorem ipsiut e
  58. multiplicetur prius per
  59. imo aequatio data vndx + XVF XX dx: aa d vo
  60. arbitraciam 13, fiet 21 = 13 aa :, cot - ef, = 12Coco + 11 BC + COBP - XX, 0 de-
  61. et fiet 12, = 13 aa (co de - C deo) + (11ec + 00(8 = 13 XX ) (88 - at), :, cot - e4
  62. c = e 12 = 13 aa (8 dt - + d5s) + (11 8t + tt - 13XX) (e - cot):, cot - ep
  63. et fiet 00 = 13 aa ( dt - t d p - co de + edco) + ((3 XX - 118C0) e coF):, e (eg - cot)
  64. 12 = Baa (code - tde = edt + td4) + (13XX - 11 P L) (eg - eo t), :, tF (e8 - cot)
  65. no videmur commoge
  66. et parijure
  67. aps
  68. si e esset 0 et co et C. co
  69. am valores 21, 12, ∞, substi tuendi sunt in aeg. secundum V
  70. facere posse =v, item quasiam ex ipsis g, c +, e, esse constantes
  71. instantes alioque re sola e vartabuls fit fieret = 21 =Baa: cot, et 12 = 13XK - 11ec 400 e C + 13ak C
  72. it quia poscto =0, non extat 12 ad BD et ad D haec aequatio manet Lesoluta et ex Wn, fiet 00H = 13aa, habemus c
  73. Si amt st C 2d Babi ft 1= 1 = 2. 13aa et, Superest 1240, fit 13 Xx - 1aa e p F = vtga
  74. +13 ca
  75. d
  76. et
  77. E
  78. Sit
  79. igne
  80. ut assunta
  81. Hc tastabilis
  82. si jam sit e. constans, =, b. a, seu e= 62. a videtur haberi qaesitum
  83. Resumendus calcutus. vertatur
  84. 1
  85. + 13a a de
  86. ens reic = 1 L
  87. set , siet de-Xxt ina, et videtur haberi isit
  88. fclat
  89. AtdsuV
  90. 21 et v

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 113r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0225?run=74