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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 377v

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: 0.80.

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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. i ax ax - 2aX ydx- 2a Xy x + X y ex + rax 1 taiis
  8. Ergo ex aeq. 2 per 3 et Y
  9. a- 2aa xy + 47
  10. 2
  11. Aaddy + Xyddy + Xyddx Ly dx F ayddx- axdax acx
  12. multipl. per at- 2aaxG + XXyy5
  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. 10. ubi jam abest du
  17. Ex aequ. 2 suffecerat ex cerpsisse terulinos
  18. ubi dlx et ddus, fiet aa + Xy ddu + X y- ayraxddx
  19. sod si effecissemus prae explicando ut coincidisseat ista coessici
  20. es
  21. 8= rZ+5 B+ + et fiet:
  22. dexdax = mdaque +nddo et ddu = rddZ + Sddv.
  23. X= me flio 4
  24. ex Xy= mr ZZ + RSivV + msfuroZ + ntrpZ ant spep
  25. aa F mrqe YddZ + aa +mrZ te Sddv
  26. et fet
  27. =arZ+ s0+F madque =a rzesvet n ddo
  28. =a M Ztnvip madque = a in ZLNVip n ddv
  29. + pY23Fese madz + mY ge et nddo
  30. deberent aequari coespficiens ipsius duzue, et ipsius deu
  31. sed non pulo rem ette possibilem Tautum hoc posni in excuplum
  32. illud ergo videtur videndum an non ope aeg. 1 et 2. tatus
  33. nova haberi possit aequatio disferentio differentialis in qua
  34. deus et ddx per easdem quantitates multiplicentur
  35. quod videm sic eleganter obtineri, si duplici differentiatione quaera
  36. hibita Hucti simus duas aequationes, quam spet ex
  37. en
  38. 1d + dax t= ddeo, habebunue valorem ipsius adeo
  39. asi aais rad pott eprecti
  40. si hinc ddus Eidax haberentur rationaliter fiereo e 1 Lh 10 + 1 ax + 12 adlX + 13 adxdax, 4 psa
  41. ubi vunta summari possim et dividipotest in aates ut
  42. ddus = 10 dex + 1d ddx + 12 a cdx erc + de
  43. 20a
  44. isque valor est finitus omnesque termini sunt summabiles praeter si in
  45. Hinc video si liceret aequadem sic transorcuare ut saltem evanesceret
  46. addx: de. onia fore rm reductam fore ad quadraturas, sed bix pulo
  47. hoc licene
  48. 21dx
  49. 20+214 +7. a0 + 23a e lax erc
  50. 21 du de
  51. quibus est dax
  52. X
  53. daq
  54. x ell

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 377v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0750?run=74