Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 113

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: 0.75.

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

The machine reads it as

  1. 2+
  2. 2
  3. 23-
  4. x - p ∞0
  5. e + MMB
  6. eX - B3
  7. 23 - 111 1
  8. IDuo al
  9. SOIlCM
  10. JaM Cl
  11. erminoei
  12. rocale e
  13. 10dC A
  14. actoa
  15. Pollec
  16. ehac nole
  17. lciimus1
  18. A C W A F L O N U M.
  19. C A P U F ZV.
  20. Methodus transmutandi squationes Cubicas compositas.
  21. in quibus secundus terminus deest, in squationes
  22. Cubicas simplices, quando id fieri potest.
  23. D RopOnatur HXC aquatiO X3 X - 3 mM X =n3 ∞ ∞. SupPO
  24. namuS Z Z = Z X =mm ∞0, hoc est, x ( EZ - mn
  25. de, cranstormata aequatione, habebitur
  26. Z = 3M M Z + 3 M+ Z2- M ZMMZ Z =3 M +
  27. 2
  28. 2
  29. .EIn-
  30. =n3 00.
  31. hoc est, mulciplicatis omnibus per Z3, invenietur haec axquatio
  32. Z n3Z 3 = M∞ O, vel Z∞ n3Z3- m, cujus radix ett
  33. 2 ∞ = n. L V=no-Lm. Oux est aequatio cubica simplex.
  34. Cornita aurem ejus radice 2, erit ex lupra politis radix altera
  35. X ∞
  36. 2Z =MM
  37. 2
  38. quam m.
  39. =.Ouxe semper est possibilis, cum Z Major (IE
  40. Aliter. SuIpPONatUE Z Z Z X = m m ∞ O, eritque
  41. e ∞
  42. .Ende Transformata aequatione habebimus
  43. 2 5 f-13Z 3M ∞ 0, hoc Cst, ZE ∞ --n3 23 - m CUjuS Fa
  44. dix cst 23 ∞ = = n3- V = no L m Oux rurlus xquatio est
  45. cubica limplex. Cujus ope, cum cognolcitur Z, habebitur
  46. MI- ZZ
  47. ∞ ∞
  48. quae semper erit postibilis.
  49. Proponatur item haec xequatio v3 + = M M N = n3 ∞0, Tup.
  50. DONALUFGUE ZZ =-ZX - L. mm ∞ 0, hoc est, X ∞
  51. Z Z + MM
  52. Unde
  53. ranSFOrmata xquatione habebimus 2 L 3mm Z + = Z m+ ZZ L m
  54. MMZZ
  55. m
  56. =n3 ∞ 0, hoc est, 25 - 13 23 1o ∞ 0,
  57. SCu Zo ∞n2 Z3 = mo cujus radix est 23 ∞ = n3 8 V =n = mo
  58. Einde

Cite

Ps. 2, fol. 113. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0137?run=74