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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 7r

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. a+ b = 0 fit aa - bb =0 multiplicando ab per a- b.
  2. sit a +b+c = 0 fit a + b + c - 3a abb- aacc - bb cc 20 nont et ascenditur ad 4
  3. multiplicando per +a -
  4. nam a habet 21 valctes
  5. derivatur et ex praecedenti pro (6) ponendo b + C, nam ita ex aa -bb) fit aa = bb - 2bc - cc =
  6. sit aibret duo fit ad uti seu 2bc, = aq- bb- ce, quod quadiare utrinque oportet, et habetur
  7. desideratum
  8. sit a +b+C+d =0, rursus ad libeamus proxime sequentem, et fiet pro () ponendo etd
  9. cc -1133- 4aa cd = 0
  10. . ce - 1b dd = 4bb cd,
  11. 414
  12. 414
  13. au
  14. et fit a aubb + sccdd +ar ed seu a + b + ab 156G dabb +64 B
  15. +cdd
  16. Et quadrando utrabius
  17. 6de
  18. -2abb 2abbcc - a b, d
  19. abab abbudD
  20. ab G
  21. 2abb
  22. +
  23. 1e
  24. = aabb Jircedd
  25. equdd iis Cdd +audd is ed
  26. (Guod edd C pantuodus nauecte mious lcede e d
  27. Ccd
  28. aqu.
  29. el
  30. nqu ad d Nna ced
  31. (+ 4a ccdd (+ B aabb .cdd) (+ 16Cdd 45) Cd) - Haa edd - 1b aa
  32. + 4b7cdd)
  33. 16Ccd
  34. bl
  35. Et fit a - 2aabb +6cc dd = +4 na q cd
  36. + 2 cc dd
  37. seu a - 2aabb + 8cCdd = 14 a47.
  38. bb cd
  39. -4CC
  40. Et quadiando utrobique fit
  41. a + 2ab ab +6aabbcedd
  42. 410
  43. quadr e a
  44. + 4 ab ++ bbcc + 6 aabbecdd, + +C d. quadr. d. - 2aa bb
  45. 4a bb
  46. +64 d.. quadr. de +bcc0d
  47. S- 4bobbec + b ccdd + 8ed iltod r in 1aa bo + 8ccdd
  48. a H2ab
  49. +aeb
  50. +2ab abba
  51. ab
  52. 24,
  53. +4a 8 (d4b0) aabbec de
  54. 64Cd) H
  55. a
  56. d
  57. cenditur ad a, nam
  58. -gabocl)
  59. +1ba cdd
  60. habet 2 valores
  61. araabb in Be ad
  62. abbec per aabbi
  63. sper aa
  64. c da
  65. ado poratiedo
  66. 2
  67. NCd
  68. ue d) CraacdoZ- nalbbecdd
  69. b reo aaccd
  70. 2126 1476
  71. 58.
  72. 522
  73. +gabbcc
  74. V
  75. 40
  76. Et fit denique a - +abb + 6ab 58dabbcc dd = 0
  77. ( a = 1 b - 1, c =1 et d = - 3 fet a + b + C+ d = 0 po ere a = 3 + 3d = 6564
  78. abb get = 6 (aon aab taur neab u rbb16) + ap (aa +bb+CC d ( = 1 7 + ( abrC, dd. 3. 9) 2
  79. a bb = 6+ 218, +27 = 2220; in 4 = - 8880, ab = 3 (cv p G2) +F (_d, - 3. 81) 23 = 246.
  80. et 644 = 1 16
  81. agtbccdd = 9 et 1G= Se
  82. bb Catiae s, 3, R S miberimur vui pu 58. lut 243 + (3d 4 86 1 4. c 1 6 1, 6. 9 d. 9 f 2 86)ab
  83. 1udd
  84. (2b )
  85. aubb
  86. 3d - b5b
  87. 688
  88. 60
  89. +0
  90. Et calculu
  91. robatus
  92. is

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 7r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0013?run=74