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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 293r

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: 0.80.

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

The machine reads it as

  1. du = ex AX: Ina +XX Cde seu dyr Ax: Z. posito
  2. e
  3. (4)
  4. taa +XX sit ZZ= aa tx et Z dZ= x dx Jam
  5. fraciamus
  6. e
  7. x a0 + 11X +21 Z 4 31y 4 12 X + 33Z4 32y + 178
  8. a dy: dx = e. fit eaa + ExX = a a XX. Ex 1 et 2
  9. (9
  10. sit a sit l + mY a my + b,3+ 4y= 0 fiet
  11. sit lCa maes tet ( rhy + Ny + py+
  12. et
  13. 4C
  14. . fiet
  15. no al + a my + any + py3+ y =0
  16. ge
  17. cujus differentialis
  18. erit al + ame + a’ ydm + 2anye + ay dn + py e + v’Sp + 4y C =
  19. ubi pa es sit saa +XX = Z. fiet eL aX: Z
  20. quod si ponamus y non posse uscendere super y, quia nec dy seu e
  21. altius ascendit, poterimus facere p, = 0 et 4y abjicere et facere n = a
  22. ideoque et du =0 et fiet; adl + ame + Gydm + 2ye = V
  23. et a + my Lyy =0 et ex 5 et 7 fit iZ al + nX + y qdm rar
  24. r
  25. seu y = - a Z dl - an X, : jam + 24X = - al: mFy = al: m) dn-
  26. =al Zdm 4 al 2aX,: inZ dm + mrax - aZd l = amx
  27. 2 y02 vl
  28. seu amque dedm + am xZ am F 2aa nXZG + 2 a m X - a Z dl -am X - 2a
  29. Ubi nihil aliud superest quam ut l et M explicemus per X, assumto
  30. = al Zam +galx + 4 alxz am
  31. 2
  32. communi divisore, et tunc debent omnia tandem fieri identica
  33. ed hoc persequ prolixius est
  34. haber
  35. Eut aliunde Met. Eodum sistandi

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 293r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0581?run=74