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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 121v

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: 0.78.

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. 120r); this page is its left half.

The machine reads it as

  1. De Radicibus ex Binomiis qvantitatibus
  2. la 21a+
  3. era
  4. aa + b
  5. 2 ea
  6. multiplicetur
  7. per
  8. fiet:
  9. 4ab + V
  10. 4a
  11. extrarendis
  12. specimen Universale, in quadratm Radice
  13. a + b. -..
  14. + b +
  15. vel
  16. ba
  17. da
  18. seu jy
  19. 4a
  20. 14
  21. iba G
  22. (6a , 2arb raro)
  23. +16 ea 4a 14ab +b 104 4 ab +b
  24. sata
  25. Za +gab
  26. (et b
  27. dava +4
  28. ta
  29. vel pat
  30. 2a+ 2a+b
  31. a
  32. sa
  33. 2a +b gtb +
  34. sas ta caia
  35. 7a + V
  36. Qua
  37. V+ vel
  38. ga
  39. 4a + ab+
  40. a + b
  41. sa sa, 8a +4b
  42. 2a 1 2a 1B
  43. sas ea Ab-sa
  44. diicatur in
  45. ux
  46. B
  47. sa 8a+ ab
  48. fiet: ad rab+b ratb, t
  49. tam
  50. 1uel 2arb, 2. rarb + b 9
  51. sa 2sa, ta tb
  52. seu
  53. asa Zueb, 12a 1, 2 3a rb +b-
  54. ba 2a +b, C2a +b, 2va 2a +k
  55. C2va, 2a +b
  56. os
  57. 2a+bea +b 2a+b 1ba
  58. O-
  59. vel
  60. s
  61. a 44a + 4ab +62 2a +b cub) 2, + b 2a +b, y sa
  62. a, 16, +a + 4 ab +b
  63. cum quaeratur differentia a
  64. vel a
  65. 2ia 2a + b
  66. ita aa ttat b C = +
  67. 2a+b
  68. a 16 + a + 4ab tb
  69. vel:
  70. t
  71. +a + 4ab 1b
  72. a 44,9 a + +ab +b
  73. est + b
  74. is
  75. a164a+ rab Ab
  76. jam +B,. O, - 8, et 0= 4
  77. Ergo fiet Z + D, = y = 4 hic Z + 4-
  78. si
  79. sive cee ergo operationem tandem ita in compendium
  80. reductam, nempe, Residuum oprationis praecedentis appellet
  81. duplum Radicis appelletur D. Eadix nova = O erit = Z. lesiduum
  82. novum e C seu radicis novae quadratum seu dvidendus secunda
  83. a frimalua
  84. Et quia prima Y est b, Eit ergo prima radix
  85. qu
  86. seu 28 erit = 4
  87. et secunda radix erit
  88. Eer icat.
  89. +b,
  90. 2a +b, 23 n
  91. N
  92. u
  93. esa
  94. ta
  95. 1a, rarb
  96. sa sa,
  97. vel
  98. 2a+04 X
  99. sa Lsa

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 121v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0242?run=74