Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 6, 26, fol. 3r

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: 0.81.

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

The machine reads it as

  1. postquam Analysin quadhaturarum
  2. in ar est
  3. rationaltum simplicium qualis (0: 6) VDdx
  4. in genere constitii, posito 6, D, esse formulas
  5. rationales integras secundum X. Venientum
  6. jam est ad specie exempla applicationem
  7. Et quidem Utile in primis erit i ponere
  8. sum o incipere ab L e = 2. et
  9. D = 10 + ux + 12XX, inde pergere ad 7 3tii et
  10. eot quarti gradus. Et omisso eenominatore : _. C
  11. Esto 9 = X Se Qveritur ergo (X oruXF) dx
  12. jam ex regula generali seYodx = d ++ AX CY D SD +52 8DcX
  13. ex Et posito gradus ipsarum ), 4, _, 4 esse ∞, 3, V, d est et
  14. ) = (B+1 - a, et d = _-2. itaque cum _ sit 2,
  15. +
  16. E i Et quidem si Y sit 0, hanc et quadraturam, ut infimam, nunc supvim
  17. et β sit Y, fiet V = r-1 et 5 =0. sit r =0
  18. simplicilsimam suppono si sit 1, jam habetur aliunde quad fura C
  19. quad Na C t Ex Nam Hinc si Y sit 1, fiet etiam 1 =0. ad a
  20. Si Y sit
  21. uesat
  22. 8 = 30. X = 30 et 2 = 40X = 4
  23. 30eBosdx
  24. ade adeoque V 30 et d 40
  25. et differentiando Xe Xdx = 30) et 1) dD + 40 dx
  26. made
  27. seu X =(et 1I + 30((+1) 2. 2X +40. Ergo fit 30 = 1. 2. 12 (C21
  28. R DSB - 1. 1185 D dx
  29. et 40 = - 1. 11P. 2. 12. Ac proinde (XV)) dx 2. 12 (P+ 1)
  30. 2. 12
  31. Quaeratur jam (X SXX YBdx fiet B = 2, et J = 1, et S ut ante
  32. itaque 8 = 30 + 31X et 2 =40. Ex canone
  33. nostro est 31 = 1: der l: (3er212 et 3∞ = (2 et d 11: (3 et 2) (ret 3)12
  34. et 40 12 ( (1 et 1) 1 3 (2e+1) (2C + 2) 1 B t
  35. et 40 = = (1e+ 1). 2er1). 11 (1P +0) (2et2) 10. 12,: βe+2) (2e+ 2) 12
  36. et 41 = = V+2) Ret 1) 11B Z (2CF1) (2e +2) 11. 12,: (3 et 2) 2C+ 1) 12
  37. seu = sed ita fieret 41 =0. Ergo fiet
  38. XXVD ex = V
  39. =2et 1) 11 + 2 e+ 2)12C9 esp +
  40. (3C+2) (2e+2)12
  41. +6er ) (2et, (X 1eto) per2)0n2 A
  42. seDx
  43. 3et 2. 2et2, 12
  44. (0 d (815) Led DIS + DAD DiCR
  45. Er = (+1) dd_. e
  46. uisu s23 e B

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 26, fol. 3r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068071:0005?run=73