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Leibniz-Handschriften zur Mathematik LH 35, 4, 13, fol. 7r

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: 0.92.

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

The machine reads it as

  1. ncempositione terminorum Analyncorum
  2. dice
  3. quod
  4. + in - ductum facit
  5. punctum. designat signum quaesitum.
  6. Esto + d = e ducendum in + 6
  7. Sumpto + X ∞ + d - e ergo + X + e ∞ + d
  8. et +X6 ∞ + d6. D eb vel + 26 = db ∞ . eb
  9. Sed cum +X + e sit ∞ + d
  10. + 26 + eb ∞ + d6:
  11. ergo in superior aequatione
  12. Substituto valore = db nempe = xb = eb per hanc uttincum
  13. aequationem, fiet
  14. + 26 = 26 - eb ∞. eb quae reducitur ad
  15. eb ∞. eb
  16. ieb habebit igitur signum = quod erat
  17. demonstrandum.
  18. 2.
  19. in - facit +
  20. Esto + d - e ducendum in + c = b, quod erit per praecedentem
  21. + dc -d6 = ec. cb
  22. sumpto + V ∞ +d = e et + Z ∞ + C = b erit etiam
  23. L V + e ∞ +d, et -+ X + 6 ∞ + C et ad inuicem ductis
  24. + VX ∞ + dc -d6 - ec. eb et
  25. + vX + Vb + ex + eb ∞ + dc
  26. Et locis + V et + X in hac ultima aequatione, ubi simul non
  27. coniunguntur. Substitutis ipsarum valoribus erit
  28. + VX + 6d - be. + ec = eb + eb ∞ + dc quae reducitur ad
  29. + ~X ∞ + dc = 6d + be = ec. quamobrem
  30. +dc - 6d + be = ec ∞ + dc - db - ec . eb
  31. + be ∞. eb unde manifestum est
  32. et ablatis
  33. eb habere signum quod erac demonstrandum
  34. ex
  35. supponitur in demonstraone + xb -db esse produdum X -d et b
  36. g’i b in = d erit - db, qd demonstrani debuit non susponi
  37. supporatur etiam =e infb. ette = eb, ad est quasitum
  38. aqualibus
  39. remanebit.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 13, fol. 7r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068010:0013?run=73