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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 376v

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.

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The machine reads it as

  1. aady + xy dy + xy dx cidy = a Xdx. fist
  2. aadus aaddus + Xydoys L. Xcts L X y ddx + yix +
  3. C
  4. aaddy + Xydduys + X a + H cx dis + Xy ddx Hydx + X dyda
  5. + aydax + a dydx = a xdax + a dx. Ex 1 est
  6. dus ~) axdx = xydx - aydx 3:, a a = Xy
  7. aex ax-raX ydx- 2a Xy x + X y ex rex 1 cajisx
  8. a- 2aa xy + 47
  9. Ergo ex aeq. 2 per 3 et Y
  10. 2
  11. Aaddy + Xyddy + Xyddx Ly dx F ayddx- axdax acx
  12. multipl. per at- 2aaXy + XXyyEF
  13. ydX + Xdx F adx multiper axtx -xydyx - aysx per aa- Xy
  14. s E
  15. X Ml( per a X raxydx-2a xyda + Xs dx + raxy ax ra it L
  16. aeq. O. ubi jam abest du
  17. n
  18. Ex aequ. 2 suffecerat ex cerpsisse terulinos
  19. ubi dlx et ddus, fiet aa + Xy ddu + X y- ayraxddx
  20. sod si effecissemus prae explicando ut coincidisseat ista coessici
  21. es
  22. 8= rZ+5 B+ + et fiet:
  23. dexdax = mdaque +nddo et ddu = rddZ + Sddv.
  24. X= me flio 4
  25. ex Xy= mr ZZ + RSivV + msfuroZ + ntrpZ ant spept
  26. aa F mrqe YddZ + aa +mrZ te Sddv
  27. et fet
  28. =arZ+ s0+F madque =a rzesvet n ddo
  29. =a M Ztnvip madque = a in ZLNVip n ddv
  30. + pYZ7 F es madu + mr g2 et nddo
  31. deverent aequari coefficiens ipsius daque, et ipsius deo
  32. sed non pulo rem ette possibilem. Tantum hoc posui in exeuiplum
  33. illud ergo videtur videndum an non ope aeg. 1 et 2. talis
  34. nova haberi possit aequatio disferentio differentialis in qua
  35. deus et ddx per easdem quantitates multiplicentur
  36. quod videm sic eleganter obtineri, si duplici differentiatione quaera
  37. hibita Hucti simus duas aequationes, quam spet ex
  38. en
  39. 1d + dax t= ddeo, habebunue valorem ipsius adeo
  40. asi aais rad pott eprecti
  41. si hinc ddus Eidax haberentur rationaliter fiereo e 1 Lh 10 + 1 ax + 12 adlX + 13 adxdax, 4 psa
  42. ubi vunta summari possim et dividipotest in aates ut
  43. ddus = 10 dex + 1d ddx + 12 a cdx erc + de
  44. 20a
  45. isque valor est finitus omnesque termini sunt summabiles praeter si in
  46. Hinc video si liceret aequadem sic transorcuare ut saltem evanesceret
  47. addx: de. smna fore rem reductam fire ad quadraturas, sed bx puto
  48. hoc licene
  49. 21dx
  50. 20+214 +2. a0 + 23a e lax erc
  51. 21 du de
  52. quibus est dax
  53. daq
  54. x etc

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 376v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0748?run=74