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Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 12v

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: 0.74.

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

The machine reads it as

  1. 15 siptembi.
  2. 1680. 7
  3. a
  4. Methodus vere analytica extrahendi radices tam rationales veras
  5. vel appropinquantes, quam irrationales; et has tam generales
  6. quam (quoties troblema deprimi potest) Speciales.
  7. X + bX aequ a + e= b
  8. sa
  9. aequ. 0
  10. (vel contrahi I+ M 1 X. fiet
  11. 1 + 2lm + m + bl + m aequ. a
  12. ut Satc aequ l. eius quad erit atc aufentur ab atc-e restat = c, quod dividatur
  13. per El fiet:
  14. Xaequ vb +a
  15. lat B
  16. t aeq Est autem -C aequ 2lm + bl + m +bm
  17. satc
  18. d He
  19. a
  20. b-
  21. C
  22. van
  23. ZCm.
  24. M
  25. a +
  26. ed
  27. sc
  28. a = C)
  29. Ergo
  30. Xaequ.
  31. sa + b +
  32. 0
  33. ivisor
  34. (NaC +cC
  35. tra+
  36. 3
  37. +bl+b mpc
  38. racLb
  39. 4
  40. Vat
  41. b a
  42. e
  43. Va+
  44. ra
  45. unde comparando discetur C esse aequ b
  46. 4
  47. ubi debet fieri omne pro ductum aequale
  48. =C. nempe fiet se reqo= b. et caqu b
  49. +2asC + b aequ. 0. (et b aequ. - 2d sc
  50. C = 2drC dsc seu) 42 d’c aegu +
  51. Ercm eet esse a
  52. n ego 2a qu. 1. et pe RsC aequ - Eb
  53. Hac mehodo perveniri potest
  54. ad extractionem Gadicumtam
  55. ratignalium quam irrationalium
  56. had
  57. blarit
  58. se

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 12v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068241:0024?run=74