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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 290r

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: 0.80.

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. 289v); this page is its right half.

The machine reads it as

  1. ope inveniatur p ex reguls spionis perrus set.
  2. erit Z H (, 33+
  3. Alubi rectius .
  4. 1 13 F 5f
  5. Imo ex aquatione p Cp +d non semper
  6. habetur Radix, sRequoritur enim in p aqualione +. + et L. +.
  7. et . - ut sit d p 27C
  8. Sic ergo pruocedams: aquatio data est Z X CZ +d mutalis omnibus
  9. locis paribus fiet Z = cZ - d. in qua radix semper habetur.
  10. sit yq
  11. 4 - c) - d mutetur in P + CP. - d. cumus etiam radix semper
  12. habetur, ex regula nostra. Sit jam
  13. X. CZ +d, mutatis omanibus
  14. 23 - c Z = d, unde P X + c P - d
  15. Et B ex Auddenio ad schoten. Append. de cubic Aeq. pag. 368, habetur
  16. posita x cp - d. (0. fit radix hoec:
  17. comparemus, aaejri aequationem in scheda
  18. Inveni modum quo quae culuslibet cubicae aequationis radix extrati queat. Nam
  19. 4 +cZ +d 110 fiat alia aequatio p - cp + d H 0. cumus
  20. fiet
  21. y cubus
  22. 228 7eac +
  23. 34c6+4
  24. e
  25. 3 x esd. = s. F) 8 sa riam
  26. e . a
  27. 3C77
  28. et
  29. esto jam aequatio
  30. 3. + 3
  31. ar
  32. addatur utrique aequationis parti erit
  33. +3
  34. hacerâ
  35. erit S() 7 2c
  36. haeta
  37. sit Ex cognita PX + cap + d + o et XX = ca X + d p 0. Ex data p
  38. 1
  39. =cap
  40. Methodi geeulis quaundet an acd n
  41. quaeritur X. patet esse X X F CaX p P f ca p. Erg. X X + ca X B
  42. -c3 - ac + da

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 290r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0579?run=74