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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 212r

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. groustum
  2. ddx: dx
  3. g. 1. sit xxdax +2x dxdx 4 yydax + Eydgax La
  4. 2X dx + 21
  5. dy: Mxtgus
  6. dddx. dxdx = 2X + 2ydly: dx): XX dy y
  7. seu
  8. dius aa = xx dlx +2X dxdx + yu ddx + 2ydyde
  9. ea 2
  10. vi yydx de aa comstanti fieret Syyde = a aa e
  11. et habebimus
  12. yaqtbaa = x3 + aa e quod si de ponantur constans fier
  13. ddgaa = Xx ddx +X dadx
  14. lollatur dar
  15. dydx. y fint
  16. Byx= aade Ergo 2fdydx + py dax =
  17. qu dyar xax,: dx = ddque aa Xddx- 2Xax ax
  18. -27 dydx 3: dux et fibt aadyat xdrax= aadxadyxddx
  19. 2xaudxaex
  20. quaxe du
  21. Au labemqus duas aquationes du aa = XX X + yydx
  22. adue aa = Xxlx + 2X dxdx t gyddx + 2yd ydx aeqmo
  23. cuiqoae ptollatu
  24. ex
  25. idam F videamus au liceat fingere novam differentio differentiatem
  26. et
  27. utcuinque ioa videtur, nam id tunc possuum possiumis
  28. ponere eam fornutam nihilo aequalem esse differentia constantis
  29. don summam ejus differentiam secundam
  30. 2ydydx saax
  31. Ex dx dx + fiat adgaa + En x d ddx
  32. si summes differentiam primi gradus addenda est parameter constans
  33. sin summes differentiam secundi gradus a addenda esst imceterminat
  34. differentia indeterminalae habus constans seu differentia cujusdam
  35. ayt
  36. inveterminata
  37. et
  38. scribatur ddyueaa Dayddx = Xxddx + 2X dxdxtyyde Id
  39. t et fiat ddyaa = ayddx.
  40. a q
  41. . +24dydx = agdax =0 seu dx ad adax: ax = 2dus sed pnor
  42. non est
  43. linctabilis. Eirgo id aptis est ut exaegq. duabus una differentrali
  44. altera inde deducta differentia differentiali formemus duas
  45. differentio- differentiales quae sint ambaes tractabilis, ita enim
  46. summa quavis duo rami duagum det, iitam de
  47. au
  48. summcibues, cum enim
  49. constantem differentia, sublata illa lope ambam habebitur aequalio differentialis
  50. es
  51. nova
  52. Para libera, conjungenda vatae lavendum tantum ae nova coincidat ipsi
  53. prima pa
  54. ea

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 212r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0423?run=74