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Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 86v

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: 0.86.

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. 87r); this page is its left half.

The machine reads it as

  1. in Pacto ex X+N. X+b. X+C. X+ C
  2. X +a et X +b radices fiat X = y + nn et fiet
  3. +mG + RN et my+ nn
  4. + ay+ pa
  5. y + p
  6. b3+ pb seu radices erunt y + untpa et 94 HNF pb
  7. inta
  8. fiet nntpa, :mta = un+ pb,: m+ b, adeoque fiet
  9. num, + nnb + pam (+ pab) = (numt una + pbm (F pba
  10. et sit nn = Pm, b-a,: b= a et fit nn = pm sed
  11. tunc fit X = mytum seu x = m. Videamus an sic
  12. y + p
  13. liceat X = myy + ny+ p,: yyt qqy+r2
  14. fit + myus + ny + p in
  15. + agus + ady + art
  16. my + ny + p3
  17. by + bgG + br3
  18. sed tollere licet
  19. yt quae pro-
  20. veniunt quia
  21. lollere oportetet in radicibus vel summm vel ulluum terminum
  22. ande
  23. quoram utrumque supponeret esse a = b. saltem vicleamus
  24. an licatulium. Videamus an saltem efficere
  25. liceat ambas radices extrahibiles, fiet
  26. N F2nnag + uqqu = mph +mar + ap + aarr
  27. en+2nmbq +bbqqu = mp + mbr ZBp + bbrr
  28. n-mp= ua Mr+p Lunga + rr- q9 aa
  29. N-mp-
  30. Mr + p - 2nnq b + rr- 99 bb
  31. Id qua ineo quod video obtineri posse neque enim inde sequitur
  32. ut neas ex quont quo quod a et b sint aequales sed solum
  33. quod sunt radices ejusdeu aequationis. ope harum duarum
  34. aequativum tollamus m, fil m= n + 2nnaq + auque = ap - aarr,: p +atY
  35. p
  36. fit (B7
  37. Znnaqp+ aaqquep- ap= aarrp n brf 2nnagbr aaqybr
  38. apbrr aarrber = n p + 2nnbq B + bb9q p - bp p3- bbrr p3
  39. Sed quia restant
  40. ntar At2nubus art boggarL bparr- bbrrarr
  41. duae radices necesse est tertiam quoque esse extrahibilem, et item
  42. habebitu novus valor ipsius M. ubi tantum t pro a vel Doccurrit C
  43. Et iamvementus duns ex eris ra hests qualua literis n, P, qra 2taque
  44. et m
  45. m+ b

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 86v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068049:0174?run=73