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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 120r

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: 0.72.

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. 121v); this page is its right half.

The machine reads it as

  1. radiae a velut termino primo
  2. duplam
  3. btrahatur
  4. (ad summe additur)
  5. si Te quantituli Cuidam, alia bper prirrs divisa addatur et a summa subtrahatur terminus
  6. resivnum adu
  7. a residuo ruisus subtratatur terminus quartus si qui sit quadratum tertii a praece
  8. dentrum terminorum duplodivisum; atque ita porro vi infinitum continuatus intelliga
  9. tur processus: Summa serici hujus infinite aequabitur Radici quadratae bnonu
  10. Resui) ex termino quadrato ter quantitaties primo assumtae a, quadrato, et altera
  11. quantitate b composit seu Sa +b (= a b
  12. si hoc apperietur aderientum cujus natum va a- X Y. fiet:
  13. a-
  14. X +
  15. 2a 5a =2
  16. quaeanda equatio
  17. initio acta
  18. sire
  19. porro
  20. 188aGa- X = X
  21. X - y. Ego N =- ay aly: = a + a Xa
  22. aXa ay +X Xay = ay+ a . Ergo
  23. ay+X = saeyt ay
  24. seu adx = Sae ayty-ay
  25. 2a + b, (5, 4, + b + 2a +b 4 b+ 64a, 2a + b
  26. e
  27. 2ta s priores radice, duplas.
  28. 1uel 2arb, 2. rarb + b 9
  29. v
  30. 2a+6,
  31. ba 2a +b, C2a + b, 2 va 2a +_
  32. 2a + bea + b 2a + b, 2ba
  33. s
  34. a 44a + 4ab +62 2a +b cub) 2, + b 2a +b, y sa
  35. 2ia 2a + b
  36. jam +B,. O, - 8, et 0= 4
  37. Ergo fiet Z + D, = y = 4 hic Z + 4-
  38. er
  39. sive cee ergo operationem tandem ita in compendium
  40. 5
  41. reductam, nempe, Residuum oprationis praecedentis appellet
  42. sunt
  43. duplum Radicis appelletur D. Eadix nova = O erit = Z. residuum
  44. novum e C seu radicis novae quadratum seu dvidendus secunda
  45. secunda radixD
  46. Et quia prima Y est b, Eit ergo prima radix
  47. tertia
  48. et secunda radix erit
  49. a
  50. ax
  51. ox ter
  52. oe
  53. 2a +b, 23 n
  54. +
  55. 20
  56. s
  57. Circulo symmetros eo
  58. potestas statim aib
  59. 4a B,
  60. +
  61. ry. 2)
  62. t.
  63. 2, 4y 6,
  64. b1. 2y,+-
  65. 13
  66. 2
  67. 27
  68. 166
  69. 1984 4
  70. 22
  71. + sia
  72. 228
  73. + 386,
  74. 8 t
  75. A
  76. 198
  77. 14q2
  78. um
  79. 158 fiet 31984
  80. 6.
  81. 6 3838-
  82. 353
  83. 38, 1C, +,
  84. 1442)
  85. 81Z
  86. 38.= 5926 38∞ 2
  87. 188
  88. 2a +b
  89. ac
  90. 456 f228126
  91. 3= 388, 386
  92. certis
  93. get resionum prum
  94. 2
  95. ) D= i
  96. et quarta erit
  97. +43
  98. vite at trus
  99. 229+3
  100. -
  101. 23 89+ 47

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 120r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0239?run=74