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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 122r

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: 0.75.

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. 123v); this page is its right half.

The machine reads it as

  1. Xta = H LMX Xtb = A LMp. Er uta in net
  2. aL A
  3. Xta = H LM X+ t = Y, N et X ta, , A rB = F +L M N
  4. 2
  5. Xta- _L Mri xib = HLMA
  6. e
  7. Xtc
  8. X+ a = H LN D X+b = HLN et x+a, in, x+ b = H LM N 2
  9. sed video literam H esse superfluam, nam pro HM sufficit M, ut
  10. et pro HN sufficit N, et fiet
  11. X+a = LM et X+ b = LN et Xta, in x+b = LM N
  12. Haec pro duabus quantitatibus ita assumendis, ut productum
  13. aequetur quadrato. Sint jam assumendae tres:
  14. ael et XtC = LMNR
  15. ta = LMNP X+b = LM NL
  16. et x+a, in X+b, in X+C, =L M NF 2
  17. d
  18. XL L MNP - a = LN NZ - b = LmNRC
  19. Ex 7 fit = b - c,: m 2 - MN
  20. 02
  21. LN = a - b, : LM p - M Z
  22. E
  23. Hic quoque posset
  24. pro P poni
  25. caeteris
  26. et sit: LF_ LP b =c - Mq b -C = HL M 2 a - b = NR a- b
  27. LPb = LVC = Mg B +M EC = M Q a (= Ma b) - NRa + NRb
  28. fit L = ME a = NRa + NRb - M 9 C
  29. 92
  30. - PC
  31. M GLN - MNF
  32. fiat P = 8MA
  33. et sit
  34. 16
  35. qui duo vatores si aequentur, e aequatio dividi poterit in
  36. b - PC = M
  37. N = MN
  38. et Mga - NNa + NR b - MQC
  39. b - C set
  40. e
  41. sit P = SMN fiet S MN b = SMNC = M9= NR
  42. addantur in unum aequ l et a coq. 2 mulsiplicatu per h, fiet
  43. +au
  44. a aNR
  45. t h+b, smh +
  46. C
  47. c
  48. A
  49. a b
  50. 1 =NI
  51. ex aeq. 1 ordinando fit +2a M + Rb N ∞ b X0 sA
  52. dc
  53. re
  54. 4
  55. et +5 b MN - qM + R N +0
  56. C
  57. Ra
  58. opendio fo M+ 20N=
  59. 3o ANt
  60. p exaeq neq 3. fit compendio ex 3, fit aGoM +20N +1 =0 eg. fi
  61. et
  62. ita exhacus
  63. ex aeg. 4 fit 20 MN + 31 N 41N = 0 ECfi N = - 11: 20 = 10 M : 2
  64. vic cenerali calculo sagus Quo substitulo in aeq. 6 fit
  65. rursus, = b - c.
  66. duas
  67. e
  68. a
  69. seu 88 10. 30 M f+20. 31 M = 11. 41 =6
  70. erunnata erv. sign. C
  71. =11. 30
  72. 10. 41
  73. am + bM + C. fit aaM + abM+ac
  74. et aumM + b. aM + Zbb = Zbb-ac
  75. et am + Zb =1bb= ac L
  76. , et et ita in
  77. st MN bc= +qM Z
  78. Asra
  79. seu
  80. m= 1b- ac - b
  81. 2a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 122r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0243?run=74