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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 183r

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: 0.88.

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The machine reads it as

  1. Sublatio quarundam differentialium
  2. (2)
  3. sit exempli causa ax +dus = X: 1 dy seu deidue=
  4. s
  5. X: y = 1
  6. reperi licot bis quaereretur difforentio. differentialis non tamen tolli posse tam ddx
  7. epe duarum differentialium, Xt pulo quia alioqui nor posset servar ex dimensionalitatum
  8. ee ex ag. 1. fit
  9. dilx + ddyue = X: y ddy + dxody: y X dy: yy. sed ex ae qu. 2. fit
  10. ddx: dy - drdus: dy2 (+)
  11. A
  12. axa dx: y - a x dus c.9y
  13. Ex aeq. 3 est ddx = cyx y ddus +ydraus - xdus ryy ady,: yyius
  14. ex aeq. 4 est ddx = ydu dx = xdue + yy dx ddus.: jydus
  15. unde deuique fit desructis destinendis exeae et dividendo per yaaque, fiet
  16. xhy a y dy + oax ut ab initro aeq. 1 itaque frusta tollitur dax
  17. Sed videamus an tolli possint ax et X. et quidem ex aeg. 3. sollendo p per
  18. aquo 1.
  19. fiet: ddxddus= Ax: ctus dilus Fadu) dx dy: y - dus. y dx. dy-dj7
  20. et 20q4 tollend X Et, ex 6y. Ct sollendo X per aeg. 1. fiet
  21. ddx: dus = deddus : dus..
  22. Cux: - dx : y- dy:y.
  23. ed coincidunt
  24. aequatio 8 et 0g. 7. itaque non pocedit sublatio am ipsia X quam ipsius dx
  25. simul
  26. aeterum non video quid strohibeat certam rlatione
  27. pro arbitivo, assumi inter dax. adque et x ul y fiagamus
  28. sergutatem sumi progressionemi
  29. fificium ergo tate succurrit illud saltem X et ax
  30. lolbre quo est extra dayue. ita enim deinde ponene
  31. day Lo restabit solummo do ddus ddx sint X et dx
  32. si et cum in hoc casu praesente id sponte eveniatr, et faciento adue =o
  33. i fiat ddx = = du: y. ideo dum ds sit constans assumta
  34. 2
  35. fiet (a dx = dy - dpsitg: y et X . X + b = y (dy sady: y
  36. pero nos ope rujus artificii de omni utcunque perplexo problemate
  37. taudem trium faturos

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 183r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0361?run=74