Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

LBr. 396 · Hermann, fol. 55v

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.

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. 54r); this page is its left half.

The machine reads it as

  1. ccliora sed ut res reducatur ad aequationem duarum tantum inger
  2. ndu.
  3. pra- minatarum differentiolum puunu
  4. dosieaa
  5. dE adp: 7, fiete
  6. constant
  7. s axigus soubat ytb u. ata
  8. dento
  9. ieine tan
  10. eu sit 4a). es dt dbea ubi progdy: Y ponendo dx, fiet
  11. ddY = axdx. y et poy ponendo- adx: dY, fiet et
  12. dde dxdx: (=adx: dY) seu ddV; dY = - dx: a, seu
  13. denique rX = log(d yit) vel dy fedeloe a b. sa:X) (b: a)
  14. et V =L
  15. a
  16. Ax Ja:xbia, vel posito Z- da: Y fiet dx = - aa A Z: 2
  17. et tendeno a = aa s- eZ (Z. a b: a): 2Z quae haberi et
  18. Unde aa=
  19. X
  20. 1
  21. e poste apsius a log. esse 8, et ipsius blogarithm
  22. Dy =vat= yde
  23. ax
  24. e
  25. esse
  26. vel Xdx + 3pax = - 3∞ yd L
  27. =qud, cun este aquatio diflerent jalii ad curvam Bb. lado
  28. sed tollenta foret litera Y ut essent solum
  29. t
  30. o
  31. et x
  32. Eas
  33. hordmtione si linea AB, oeb forent logarith mica divirsari sattenus.
  34. curva eat nor malitum secams inocuixi posiet, sumponendo oes logan
  35. nicas peo commune quodda punctu transire et ad eandm asca
  36. e
  37. tota esse constructas, nan ex natuve logumici e ydx = ady vel
  38. adg = dx. Unde aly = X et n = X in priore nonant, loco dy
  39. et
  40. =dx et loco dx, dX eritque. adt di vel a =.
  41. ax ly
  42. ydly = - XdX, ut hab et Du. Bernoullius in Supra citato loco.
  43. Hlcic sunt qua mili inmertem vererant, quae autem propter
  44. alia negoria, quantum opoeleret digerere nondum vecavit: pluva
  45. non addo nisi quod sub anpiiui hujus anni, ejus demosum it finem
  46. ita felicet Ampl. Treci optem ut nihil dlesit quod ad omnimoum
  47. anem: teanquillitatem faceve possit, et tales periodi srequentes
  48. et prospera e recurrant. Vale Dir Consultiscine et Patro-
  49. cinio Tuo porva clignare
  50. Mt
  51. 708
  52. aestristotadau es
  53. altorem humillimum
  54. ermaeinu
  55. ut vii didte tamai

Cite

LBr. 396 · Hermann, fol. 55v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 316). https://leibnizlegible.com/page/DE-611-HS-973581:0110?run=316