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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 25v

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: 0.76.

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The machine reads it as

  1. XX + 2Xy + yy + h (x+y) = 4b
  2. XX + 2xy + yy + 2h (X+ y) + hh = ab + hh
  3. X + y h = +(ab + hh)
  4. id hujus imitationem videamus an liceat aliquid comminisci pro differentiis
  5. e (vAeZ + 2 dxd Z + dv deZ) +, dh a (v dZ + dod Z) + d vZ -
  6. PYZ + dh d(vZh
  7. d(BZh) = d h d 1Z) + 2 dh aevZ + d vZ d h = 6 di= d vZ d h
  8. id unum incommodum subesse video, quod in hoc exprimendi modo non evanescit
  9. 0Z. An ergo mutabumus, ut dX sit X et d’X sit dx et d’X sit I
  10. fiet dx = d’ux = vx, et dvx = dd + dvdz, et erit
  11. Et fieret fieri posset sed nihil ita lucrimur
  12. oportet ergo h assumi tate, ut sit d vZ d’h, quantitas summabilis,
  13. (3∞7 = dvaque + 2d vd Z + dvdz
  14. et videndum an reliquam _h dvZ + 2 dh dsoZ) = gdque conferri possit
  15. cum aequatione data. jam ita enim foret vzh = (dx Sdx Cd. vZ d h)
  16. videndum primum quibus a casibus ipsa eZ ddh summabilis, id primum
  17. +r
  18. Exxx tgydx aadus =0 in qus sir ts rexe . X dx) -pax ap
  19. fieret si 1 ax dat
  20. sit VZ= _G fit 8H, =
  21. iatg
  22. M
  23. fxy = ex y ax +hX dy 75 X y dy x y dx
  24. e
  25. -
  26. xx _ 3 = c q Zdv: dZ, X = a dv: dz dy = _ d7d z dv + 2Z d dx - Z dv da z
  27. f sit 5 =0. erit h = - aaque et et m, et et h- 1 = n
  28. s
  29. d2dZ et dy = dx = a a dz ddv - a dvddze: dd 2 a 2dZ,
  30. ondnde, dodo
  31. dy: dx = dzdz dy + Zdz ddv Z d v ddZ,: a dz ddv - a dv ddz= aadidZ dhaZue
  32. y: a = v. Z et X: a = sdz. Z fiot dus :dx = Zdv - vdz,: Zdq = vv. 77 + qusde
  33. v y: a = dodz do: dz
  34. X: a = v: Z
  35. d (dvidZ): d (r. Z) = dvdo: dZ dZ + vv: Z.
  36. seu das = _ = ve + qu saz sit qu saE = sit
  37. az
  38. sit du=
  39. 12
  40. seu dedz: du = deo et firt 2d vd Z ddque - d2dz dd v = 0
  41. 22
  42. tio
  43. (a2 - seu 22 d2 + d8 + 2 s d2 = ddz
  44. et ve + e + 9)7
  45. deo
  46. deo
  47. et dh + hde =s dah
  48. dd ddeD h) = h ad + 2d s d e + ddh
  49. sit th adg + 2 dhde = dx dg
  50. posila x constante
  51. ego fiet ph = farg + sax sestah
  52. lrb)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 25v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0050?run=74