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Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 60r

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: 0.77.

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. 59v); this page is its right half.

The machine reads it as

  1. constat sy.y nm-ngy. mm -g reduci possead quadraturam ratioualem quaeritur an hinc
  2. sequatur et sag. isum. niu. mungsue reduci posse ad eandem; seu si una somut iiationats summa
  3. ierationalem quantitaltud continens reducta sit ad quaduturam ravalem, quaeritur an alia quavis
  4. tandem tantum irationatem continens ad rationatem quadraturam reduci possit
  5. Et video si res obtineri queat prior; sola issumto rationali valore ipsius y; tunc et sosterirm
  6. quad raplex aequalitas
  7. + a gt Y + b = at 2 + c = v H v + d = vtn
  8. dalo sem t
  9. psse adticeri
  10. ∞0 v+ acd ohit v+ bco = gHK E102 4 + = 1 L + d = nn Ex 3 et 4
  11. s
  12. fit acd - bc = gtih - gkk exsel6 et C - d U-nn ex 7 et 8
  13. v cdm: 1-nn ex
  14. DaE ae q et n est - c. nn
  15. Cd Ghh- KK: a - b ex
  16. et s=d d Lh. XX
  17. b
  18. et x= alit -
  19. bel v= (Cghhi by th. ( agtitat agtr
  20. ne-d
  21. vol = duF t Cnm vel cd = enn - dU
  22. ad
  23. Ergo ex 14 et 12. fit 9atK - bhh - nn = m a- b. cad
  24. et ex 17et 1. fit GhIi - KK Cnn- dI = m anb. cnd
  25. Unde sublatis m et 9 res omnis redit ad hanc aequationem, resoliendam
  26. a enameris frationaliter resolvendam: akk -bhh= dl-enm
  27. U- nn
  28. KR = titi
  29. Hanc aequationem resolvamus in duas KK - hh = -nn et akK - bhh = dell-cenn
  30. sit K= h+ p fint KK -tih =(hB + hp + pp ChB = eHl- enn seu h= ell= enn - pp, : 2p
  31. et hh= ee 1 -2eCUlnn+ CC n = 2C lpp + 2 e nnpp + pY;: app
  32. seupak btia = a - b Cet rcellnn+ ee n-rellop t renapp +p + 4 app ell. 4ap ∞ en, (. 4a p + ap)
  33. 29
  34. et KK = Ergo akK - bhh = tatih + 2 . p tap p
  35. helam adeque 20 Sc esset n = 527 9 et h = Z+Y et l = s2 + F et n = 2+ W fiet
  36. = app 4d ellpp= gc ena pp 17 (2
  37. afZ+ 2a59Z +a99 = bZ 2b rZ2 brr, in, 52+ 25tZ+ t - 2 - 21oZ - W
  38. equ. d5 Z + 2d st Z+ d Et =, cZ- 2cWZ - Wu, in, f2q + 2592+99 - Z - 2rZ- Yr
  39. quae aequatio debet esse; identica, unil, fiet
  40. (25)
  41. affss - at - b55 + b = d 55ff + d5s + cff = c = 0
  42. 2aFst- 2affW +4 a595s. 4asqu a: 2bst + 2bu - 4brst + 4bru
  43. -20

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 60r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068049:0119?run=73