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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 98r

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: 0.78.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. pans e
  2. Vedendinam non liceas
  3. e
  4. in Mathesi, ubi continnitatis lex valet, non spernendum
  5. ad detegenda difficilia videtur remedium, ut generalius aliquid
  6. quaeramas,q quod in quaesitum Casus peciati evanescat
  7. si modo ipsum generale set tractabilibes. Exemplo causa quaecilur
  8. terminatio veriei X
  9. seriei convegentis legem esse X
  10. e
  11. X
  12. rus rxy
  13. atus
  14. B= Ixy V- ZXy
  15. pl
  16. xty
  17. U
  18. Frugamus
  19. 7
  20. Hoc posito in casu convergendi fiet 1xy = 2∞ 2X y(, X ty) + b
  21. seu XG (DXX yy 2 XF 2xybX
  22. = Xy XX + 2x yXV xyyq
  23. et fore
  24. G
  25. 2x9by + bb XXtbbgy 26
  26. Jam in hoc casu x=y
  27. 2 Cx 4 2xb 4 2xb +bbxx (2x, 1ta fore
  28. 2b Haec quidem lex possibilis est, quia cum
  29. X = y etiam sit Z = v
  30. sed videamus an liceat facere
  31. N = 2a- b xy (: iX+y) Nam ita in casu a =b recidit in hanc
  32. sit jam x = y et 2xy (3a - b, : a) Xy (, X + y) = Xy+ a b fi et
  33. (3a = b, : a) X (:2) = +X + a - b seu 3aX - bX = f2x +2a-2ba
  34. seu x = (3 +1) a 2a4 - 2ba, :, (34) (3+2) a - b
  35. si hoc casu cum a pervenit ad ae b=a, evanescant omnia
  36. si series esset
  37. Xty
  38. e
  39. v
  40. 2Xy
  41. +y
  42. terminabio serci foret S2XG =X 2
  43. Quia ZV = xy hgeralitur EXy = bb
  44. hZ. X. Exy et v = 2X9(i X+y) fiet 2Z =Xy ergo y = ZZ. X
  45. et XV+ yV = 2Xy adeoque y = XV: 2X - V. Et fiet ZZ = XX
  46. 94
  47. 2XZZ - VZZ = XXV seu XX -22 + ==
  48. l
  49. qe
  50. VN
  51. seu X = Z2 + Z1 (2Z- v0) et y -
  52. VZ
  53. in
  54. Le
  55. Z + Y (2Z- vV)
  56. ivenire eodem modo formatum ex xG et v uli ex xet yus
  57. revera est seremex relativa in qua sequens pendet
  58. in
  59. ex antecedentis mutare in absolutam, seu relationem
  60. quae est inter oidinatam et abscissam, quasi X esse t ordinatias
  61. y abscissa

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 98r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0195?run=74