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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 14v

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: 0.86.

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The machine reads it as

  1. pendiose ex aeq. 5V fiet aequatio talis, e faciendo 22 = 444 - 1 et 01 = (4aa 1) CbtC
  2. praestanda
  3. in aeq. N pro O et ) scribatur y
  4. gy+ +it= +RnyV +ovy + 00a = 0 quaeritur rationaliter sit g - fv +ga
  5. 20
  6. et 00 = aa (bb + 2be d ec) et I12 + 44
  7. fil 20ffvv + 2. 20 af9V,
  8. aavvs
  9. 11 af vv + 1. 11 aago
  10. 2d. 2 aa
  11. = 1 0t aa fV + C
  12. + 1. 01 (3 V + 00 a
  13. OVPFOV FoV
  14. seu f -4, - 11 + Y(11. 11 - 4. 29. 20), : 2. 20
  15. Ex ov sit 9 = = 01aa af, :, 2. 20f + 1. ( 11 a
  16. et in valore ipsius g substituendo valorem ipsius f, fiet
  17. q = Ca. 8. = 2. 01. 2Ba + 01. 11a - 91a (11. 11 - 4. 20. 20)
  18. 2, 20, (=11) F Y (11. 11 - 4. 20. 20) (+ 11)
  19. denique ex Ov sit gg + et ag + 00 aa =0 seu g = E a, -01 F 1(01. 01 - 4. 00. 20), : 2. 20, itaque duos ipsius g
  20. valn quando fit
  21. 2. 01. 22(a) + oI. 1(a -01 4L (11. 11 - 4. 20. 20) (a
  22. 2020)
  23. (2. 20) 1 (1. 11 = 4. 1020)
  24. unde tandem - 2. 01. 22 + 01. 11 = ((01. 01 - 4. 00. 20)
  25. -01 + Y (01. 01 - 4. 00. 20)
  26. quae aequatio ut prestetur, oportet pro 00, oc,
  27. 11, et 20 substitui valores, et prodibit a quatio
  28. (1. 11- 4. 20. 20) in qua sola superest quaesita 44, vel pro qq pone, posit ponenda ar.
  29. Reperietur Y ascendere ad gradum sextum; et fortasse deprimi calculus poterit, saltem
  30. in casibus quibusdam speciolibus utilioribus. sed licet hoc fieri non posset, tamen affigissemus
  31. autem
  32. Scopum, quia non refert ca rationalis an irrationalis et cujus gradus sint quan-
  33. titates constantes, modo variabiles habeamus extra irrationalitatem; modo
  34. ne impossibile quid oriatur, deb quaesita r plane evanescat
  35. copo an non contrahi possit calculus, imi

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 14v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0028?run=74