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Leibniz-Handschriften zur Mathematik LH 35, 3 A 18, fol. 14r

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: 0.78.

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. 15v); this page is its right half.

The machine reads it as

  1. ABN N
  2. de reducendis aequalivalbu iduteriores, ilem parum 3.
  3. de genlen ciso gene inveltione Mladrau geperpe
  4. quemadmodum Xta in X+b in XtC dant X + aX + abX + abc by.0
  5. +b
  6. C
  7. pac
  8. unde sequitur tribus aequationibus propositis atb+caequl. abtacobeaeq. m, abc aey. W
  9. fore X+ Lx + mX + n aeg. 0.
  10. Ita
  11. X+ axtb in X + cx +d a t. X + ax, bX
  12. ita X taX +b in X + Cx + d in X+ extf dant
  13. q
  14. X + a X + ac X + abC X + ac si X + 2
  15. ubi patet
  16. ac
  17. C
  18. aa
  19. a
  20. c
  21. 2
  22. ec
  23. quemadmodum poductum sola servatat
  24. aed
  25. ceb
  26. bd
  27. s
  28. 2
  29. a 4C + Caequ l.
  30. vI
  31. C
  32. caf Xt bad aqc
  33. ac +ac+ ce+ b+ d+ f rg. M.
  34. ac etad taf+ cb + cF+ eb + ed aequ n.
  35. a2
  36. 2
  37. 2
  38. insallege homogeneorum ex
  39. arte combinatoria statim scribi potest.
  40. si jam darentur Tex aequationes.
  41. ea aequ p.
  42. a d527 cbF + ebd’ay
  43. bd
  44. C aeq. r
  45. quaerendo a vel c vel e. assurgetur ad gradum 15tum
  46. quod ex legibus artis combinatoris demonstrartur, nam
  47. a est u summa duarum radicum aequationis , at
  48. sex radicim aequationis O sunt 15 biniones.) Et
  49. ta men problema solvi potest per gratum aequationem
  50. sexti gradus hoc modo: scribatur aequatio
  51. ∞ + lX + n X + n X + p X + qX + Yaeg. 0
  52. qua resoluta, summa duarum quarundam ejus radicum
  53. dabit a vel coele. Eodem invio rectangulum duam
  54. quarundum ejus radicum
  55. dabit b vel d vel f
  56. Alxita oblatis equationes plares plnium lites pram
  57. +bC
  58. 2
  59. +CX + ac X +bCX
  60. +d ddab
  61. u

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 18, fol. 14r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068231:0027?run=74