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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 199v

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: 0.79.

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The machine reads it as

  1. 29t6: aa it
  2. y = SCErx + XXX = Y (arquaa = 4rqutHt F r499H,:, a f raaH + +Y
  3. XL
  4. Repetamus:
  5. Se2 jam r9= a. Ergo fit y = Y(4a H:, at + 2aa H + +4) = 2adt:, aa f. H
  6. seu y = 2r9t:, aa = +t, unde y: x = Y it
  7. d, C0 sydx = coydx + deo sydx. Ergo eo sydx = scoydx + sdco sydx seu
  8. Coydx = co Sydx = sdeo sydx. sit c0 = Yab + cX) erit deo = cdx: 2Y Cab rex)
  9. Dquia X = 29H:, aa + H fiet Ylab + CX) = + (abaa + ab H + 2cgH, :, aa +H,
  10. ab+x) = abaa 4. ab H. sed non licet tollere H
  11. in numeratore (sit co = s (ab + CX + fxX) erit deo = Cdx + dx, in Hab tex EX)
  12. =
  13. fA9q
  14. X a at r. an t + A.
  15. (a + raat +
  16. +):, aa fH
  17. +29aa cH + 29ct
  18. lc
  19. +4F99l
  20. paciumus radicem extrahibilem, et sit aattab, ab + 2gc + 4+ 44)= (aa ab + qade seu
  21. ((ub + Cx + tEx) - + (ab F aa L F
  22. (a a bb 4 2 absC + 45b94 = (ar b b) + qucc. seu b= 9cC:, ac+ 4fg., el
  23. fit co = ce S(aqce Y 2acex 4 2acfXX
  24. 4sCqX + 4fg Xx
  25. Tab, 2914 = 9c. seu ab 2if: a = 99cc
  26. 9tt +
  27. 49t
  28. si X - 29tt:, aa + t, (ab + Cx + S XX) = Y(, ab + au + H a aa raaH +
  29. 2
  30. (ab at + rabaatt F abt:, aa = ++
  31. + 2cgaa H f 2cqt
  32. XF 494t
  33. ut ergo numerator sit extrahibilis comparetur ipsi gga + 2gaah
  34. el
  35. erit 9g = ab et hh = + ab 4 2cq + F 49. jam ( Dgghit = a aab b q uaiqg
  36. et fiet sant ee seu aubb aabb aubb p aubb 2cg9 + aabb 16s gt C e c
  37. ja
  38. seu aabb) = 2c4 ab, + 4F abqque = (a abb (4 2 ab cq + ce4)
  39. e
  40. ad seu fit
  41. ita lenim et
  42. ab = acc: 4f sd hoc non licet
  43. ((2 rX + rXX) = _xs Coa (+) _ X Z: a et 2rX + Z XX = X X 2Z: aa
  44. fit 2Yaa 7 aq X = XZZ et X = 2r qaa:, 42Z+raa
  45. sed ita ex diversis datis non potest prodire idem valor ipsius A
  46. 2YX + X XX =

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 199v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0398?run=74