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Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 4r

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: 0.68.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. res quaesiti
  2. a+x Xiy X. y. 7
  3. X- y=
  4. X-Z m
  5. similiter y = a
  6. X+)=
  7. y - Z = n. sit erit _X = a +I e et
  8. = C+n. seua-
  9. e
  10. e
  11. 2)a
  12. e
  13. V
  14. a
  15. y+Z Cx c2
  16. 1)
  17. em +b seu a+ m
  18. C +n denique b1
  19. 2
  20. 2
  21. =Z - b=n = C - H
  22. Et ex tribus aequationibus 1.213. solot pote)
  23. C n
  24. seu b=m
  25. debet esse
  26. Xer X+y=a2
  27. p2.
  28. problema cur enim sex essent aquationes jam tref lifere sunt
  29. quis velit considerare quoad fres priores
  30. sublata. sed
  31. ex sex fundamentatilli x y Z ite a, b, c esse postroeoploras. viderdo
  32. xs
  33. an unc ufilitas 0urgo tollantur tres lilerae tantum per C mn, sieC
  34. X = m +Z. fiet 3 = m +Z - (V = n +3. fiet etf m - n + p
  35. +y. et
  36. ne
  37. nec tamen reperitur y. Ergo nectres literae totei possunt per solas differentiam
  38. v
  39. se
  40. ∞
  41. aequationes scu per El. m. n.
  42. X= a - y V-Z. fiet y = a- b +7 = C-
  43. b
  44. 2
  45. 0
  46. +
  47. et X
  48. y C+b a et
  49. fit: L.
  50. s
  51. 2
  52. e et y = c
  53. b+a ccf erb
  54. e
  55. et X et allo a+c
  56. Lingamu problema ita esse conceptum, ut tantu
  57. esse debeat x - y = (2 et X -Z = m et qu Z = n et denius Z - a +b + c7
  58. d
  59. ruasus
  60. Nat inveniri sequetur n = b + n et x = seq e l+n - Z et y = n + X
  61. l
  62. n
  63. equationi M = 1+n addatur a
  64. 1a
  65. qucet
  66. e
  67. = a - b ex l et 4 ∞9. 2. manet
  68. at aequ ex aeg. 3 et 4. fit ber be I.
  69. A
  70. 6)
  71. 2
  72. C= b-c. haram aequa
  73. 2
  74. tionum 5et 6 ope tollantur, l et n ex aequ. 2. fiet: a. 6 +c = C + a -
  75. quae est identica ideo opus est tantum ut solvamustres aequationes 4,5,6
  76. 2
  77. sit ab sint aub ratb a +b= R d
  78. a- b = do2
  79. 2
  80. b + C = f 9 b - C = f92. fit n = de et l = L9. sed et m d
  81. sed a = d
  82. b =
  83. f9+ f9r
  84. de b = de- der
  85. +
  86. C= f9 - f9
  87. ergo fit Lg ob; b, de : f9:: f+g: d - e. sit de =hs9 fit
  88. seu a-
  89. l
  90. e
  91. 1
  92. ec d de hd - h1 = f + 9
  93. f+9+ he - hF9 fit: ef + (9 + he = h f9 habetur ergis valor d. et f substituend
  94. in h
  95. in aeq. quae ultimae est F=esthec. h9C

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 4r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068229:0007?run=74