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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 137v

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. 136r); this page is its left half.

The machine reads it as

  1. sit sit
  2. ba
  3. Sa
  4. +
  5. suac
  6. sit . 1 + 4gce c1 +
  7. Nam Ejus quad est: - c + 2 cd = d2
  8. Ergo cs - 1 + d eI cfd, s- vel d +c H s- 1
  9. Haec ergo quantitas videtur est vere iniaginaria.
  10. (3 c + d f- 1.
  11. + Bc - d =1 est quantitas realis
  12. Notandum si cs∞1. +d multiplices per lN- 1. fier: c + d.
  13. Ne (
  14. Engo N
  15. +tr 4 + (3 -r + r - q
  16. +2 s+q r 91-1
  17. qa N.
  18. nne N= +39 N - 2 (9 r as
  19. vido signu
  20. quae conferenda cum illa paginae phaecedentus
  21. simili facta ex M N- l ⊓ hM + al
  22. M B N habetur: NX + h N - s - l
  23. Ponendo scilicet l. esse quantitatem este affirmativam. et comparando:
  24. IF t et 44- et E N 216- 4 r et fici: Ve +t-4
  25. quod svedit verum est.
  26. NEX h N + fL, s- 1.
  27. 2713
  28. sit jam
  29. erit N B b2s -. = ti N.
  30. 27 13
  31. =115 1
  32. - ld X + c0
  33. 1. abi
  34. +aet
  35. +co
  36. 413
  37. 17b
  38. s- 1
  39. ubi comparando + l6 SI habelitur
  40. 27(3
  41. indubie quantitas b.
  42. Eoce quomodo quadratica aequatio ducta multiplicata
  43. per simplicem det Cubicam? Quadraticam nunc resolvamus.
  44. X = ceX + 25 H E 9
  45. ab f2ah
  46. 2
  47. e
  48. taete
  49. 4co2
  50. a
  51. +alio
  52. = al0
  53. 4coe
  54. = at
  55. + r.
  56. donamus jam cor ab s1 en R ah psI
  57. bo.
  58. fiet pars ex qua ex trahenda radix quadratien.
  59. 361
  60. an
  61. P a 12
  62. +(b2
  63. +ab
  64. aeb2
  65. 12 12
  66. 92
  67. a2
  68. +t2I H 11
  69. =ahi .d
  70. 34c 17
  71. 4b
  72. quadrutum nam
  73. ab-hlB in
  74. 13
  75. se ducta dant:
  76. 3t12 = L ah. adeoque
  77. exhahi poterit radia utrobique et fiet:
  78. ae
  79. ad
  80. + a r
  81. X + e s.1 gh Y - 1
  82. + ab +
  83. hl 13
  84. X. quadrando utrotique fiet
  85. +ato. at. x +Blo + e (
  86. arti rraett (2at8
  87. sDha + hacor
  88. + 4+
  89. 124h35
  90. ta
  91. Hunc culculum exacti
  92. P- ab
  93. + ha.
  94. +rah)
  95. +haco
  96. anco
  97. =a3t
  98. adtis
  99. vel X Y

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 137v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0274?run=74