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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 57r

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

The machine reads it as

  1. ly gar
  2. db +B sAXCX). Qua
  3. seriei L + + L +: etc. summatio pendet
  4. ab hac quad comaeetue abhuc a curva con-
  5. structione cujus aequatio entialis est
  6. tangentialis sit dy: dx as(dx: X) : 1b+ x
  7. fiet dydx = (240) dx dx a sClx : X):, b + x =(3ti0) dcodeo
  8. constanti ede(4to) dydx. Et differen
  9. fiando aequ. 4 fiet dy dax + dxddy = (5to) 0
  10. et adx: ddus = (6to) - dx: dy. jam ex canone
  11. generali est ddy: dus = (7 mo) d (dx: dy): (ddx: ddly) aY
  12. et siet 2 log dy = D log (dy: dx). seu 2 log
  13. seu dydu: do doo = dy: dx seu dydx = modeo
  14. ut ante. unde nihil hiuc obtinemus novi
  15. quod mirum non est cum calculum institue
  16. rimus communem omnibus curvis, seu quisi
  17. aliquid dedisset novi, solvisset omnestan
  18. gentiales aequationet qualiscunque fuisset aequ.
  19. s
  20. (b +X) dy = a dx sdx : x
  21. a dx sdX: X = deo fieto dd X fdx: X +dx p
  22. - dx: Xsax: X
  23. sed facile intalligitur hinc asi aequationem
  24. ec
  25. ubi valor ded
  26. praecodentem redire posse seu vatorem
  27. dy., aa x aa dus =) xxdx + yydos
  28. sit xptgaqe et ix ax + rydus = ad
  29. tollere y et du. Nam ex
  30. 1
  31. XX = aa e (v+ Z) aa:
  32. possumus
  33. yy=aasAZ.
  34. fiet dam ax a dB.x) a ( i_) fiat dx = a d (v: Z
  35. et dy = a(dz: Z): 2 4543: 2
  36. 21ua (d7.
  37. dz
  38. an
  39. av: Z)-
  40. rag
  41. Q + 1 +
  42. in
  43. 1
  44. et fret
  45. sed A- dZ-
  46. s
  47. L
  48. AiZ
  49. 10-
  50. AZ

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 57r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0113?run=74