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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 231r

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: 0.76.

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. 230v); this page is its right half.

The machine reads it as

  1. esto E quatio
  2. Lu
  3. V
  4. cognita nobis radix. X = 2a X
  5. + amV
  6. + aenV
  7. + 2a X2
  8. c
  9. - 243X
  10. + a
  11. + a+
  12. ordinando
  13. ra +612
  14. 4
  15. 4 16
  16. item
  17. a
  18. a + et X 9a 33, +36 a.
  19. lnpon
  20. ver
  21. +9a 2 + a
  22. 3a
  23. 2a
  24. La
  25. 2
  26. a
  27. a
  28. +
  29. + ay, a
  30. 16 82 1
  31. + a
  32. at
  33. 1 a
  34. E
  35. a
  36. la
  37. sumamus aliam, cusis
  38. a qua terminum
  39. cufermus secundum, ponendo X Z + 2a fiet X ( Z + 4aZ F 4a
  40. C3
  41. 4
  42. 4
  43. sione 4 pro2.
  44. X
  45. sive
  46. 4
  47. sa
  48. mubteptum,
  49. ca
  50. aequatione per suum Termini
  51. et y utobique sublato fiet:
  52. +am
  53. p
  54. 5
  55. Dibisa utraque
  56. an
  57. ++193
  58. a
  59. 10
  60. ive adhibita bractylogia, sublatisque
  61. esi
  62. 3+ Ca
  63. 5a +c2
  64. an
  65. -5d
  66. +C2
  67. 1aCa
  68. C
  69. 1a+Ca)
  70. frunctionibus: sive adcibia brartulagia:
  71. a an
  72. +42 a
  73. reducta hac aequatione assurgetur misus ad cubicam. seu fiet
  74. 10
  75. Unde V _ Dy + D O+D
  76. sive Y + D,0+ D
  77. sed si incognita assumta fuisset in solo termino ultimo res haud dubie melius processisses
  78. o
  79. ponatur Xe v., et fiat ZF) Y s ergo 7 4 a
  80. Z b + S p2ay -y. sive
  81. 3
  82. +256. + S() 2a - y quadrando: 4a1
  83. ponatur data c. (). b + A5b +63
  84. -4ay
  85. 4
  86. + y
  87. +45b + b+ 4d y- 4ay + 1a
  88. opo jam aequatio data, a qua sublatus sit terminus penultimus: V+ ly tan
  89. y- 4a) +
  90. f V7
  91. S X
  92. ta
  93. 4a
  94. am y
  95. cdo
  96. qa
  97. a
  98. ++ F0 divisis omnibus illae per l. hict per
  99. +a
  100. a
  101. +
  102. 0.
  103. A ap
  104. 54 +E C
  105. natca
  106. Se
  107. X
  108. da
  109. 12
  110. cy
  111. ma
  112. ta. Unde
  113. conferatur datae
  114. pta fiet:

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 231r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0463?run=74