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Leibniz-Handschriften zur Mathematik LH 35, 3 A 18, fol. 2r

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: 0.71.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. utilissima
  2. consideratio que ostenditur
  3. unam ladicem orrationaem ae aquationi
  4. sit aequatio de x pX + qX + rX + lX+Vaeque
  5. ponatur
  6. generalem significatione sua ambigua
  7. exprimere Reliquas omnes
  8. de aequ st + SmS
  9. Mirmre uane ineAequacec
  10. cum omn XX + b X + bb radicem habet
  11. a aequ - = b + b
  12. a
  13. s
  14. er
  15. Hinc X = b aeq. 0.
  16. e
  17. tres habet
  18. is
  19. calteram X aequ 22 b + = b f-35 vesus
  20. A
  21. datertiam X aequ = b = = b f-3
  22. 1t +
  23. a
  24. Eehinc si aequatio sit V+p_ aequ. 4.
  25. Le tunc tes hujus aequationis radi
  26. +
  27. erunt est aequ. 3)9+ Y 22 + p3 + 3s9
  28. au ergo
  29. V
  30. et reliquae duae radices erunt
  31. pee
  32. aaqu (3- 1+ .3. 14+ 54+P +
  33. aequ - 1- 1.3
  34. videam et
  35. 14 27
  36. (9+3q + ph 4
  37. 2 aliter + 27
  38. 4 ei
  39. e
  40. -141.33
  41. 2
  42. Aliter duas radices inveniemus:
  43. at
  44. 2 4∞
  45. -13. 4-1
  46. x
  47. 2a v
  48. 2- (2
  49. 1
  50. y X +pV aequ 9. sit ex +pe aequ. 4.
  51. 27
  52. fiet +y3 + py aequ. 0. seu divisis omnibus per -e
  53. fiet y ey + ee aequ. 0.
  54. -C -pe
  55. ergo y aequ. -e + s = 2 ee - p
  56. quodu
  57. inquirendum
  58. quod con consentiat cuus praecedenti, nunde
  59. men
  60. au
  61. discamon auliceat semper pro 3)4+49+ p
  62. t
  63. tc
  64. quosvis omnes tres etus valores sumere, sedan
  65. verolocum habert unum tantum
  66. verte

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 18, fol. 2r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068231:0003?run=74