Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 8, 9, fol. 11v

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: 0.84.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. Videndum tamen eu non liceat
  2. in aquatione summatrice adjicere
  3. adhuc dus non tantam cum summajam
  4. cocunda reperta est, sed etiam ad
  5. 2
  6. eam investique eandam, quia inter cal
  7. culandum uil mutat, servit ad leges
  8. homogeneorum implenias pluresque termi-
  9. nos nancisiendos, et deunde in nata
  10. inde differentiata, pro ddu
  11. substitultur valor notus per solas
  12. asfectiones ipsius X
  13. Xdu 23 Ex Ax. Ydy Fdx - X dx
  14. y = X dx +dy: dys. Et fcet
  15. deed sit a
  16. ed eaxedu
  17. constans fe
  18. dy = ex + ax: dy + Xddx: dy
  19. seu di = du dx + dx Edx + Xdax
  20. +
  21. seu tuL dx + L15dx + 4Xddx
  22. Ergo fiet, dd X + : ID X dix + 4Xda dx
  23. O
  24. seu fiet
  25. aducax
  26. VSdx +4x lax
  27. Sdx ex Sa dux +X ddX
  28. Et habemus proinde
  29. dddX = - ddx. V5dx +4 daX : Z X
  30. = + dx ddx : 2X. U
  31. Ex hac aeq. totlamus X quae sola turbat
  32. ope aequ. 2, quia cu in sumando
  33. nonturbat, et fiet:addx
  34. ddx 15dx + B ady - 4 dydx - 4 dx
  35. x + radx dx
  36. 2X. seu sie
  37. 2X diux ddx
  38. et Ax-2dy 47c
  39. seu X ddde ddx 4 dx - dy. est autem
  40. Xdddx = Xddx - Z ax Ergo ex gercofiet
  41. 1t
  42. Xddx - = du= L dx - dy dx +haque
  43. quae coiicidit cume quae si non coincidi
  44. curi aeg. 2 dabit solutionem et
  45. reduaeretm problema ad rectam, si abet erur
  46. coculi. pobcissimm et collere X ex aeg. 9.
  47. et evalmisset etitue ddx. itam sic. Ex aeq. 2
  48. tollamus xe, differentiando. Htabobitur
  49. valor ipsius dadi per dx, ddx et dy
  50. procedetque summatio, quia proinde ec
  51. si loco earum adesset D, do, a. imo
  52. vos semans poterit reduci ndnvadra
  53. tne t an eme habebimi
  54. pauut diceu pau qu lau
  55. de dule dida Ros processit
  56. quia abit a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 9, fol. 11v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068104:0022?run=73