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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 95r

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: 0.79.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 96v); this page is its right half.

The machine reads it as

  1. dy: dx = Xx + gy,: aa
  2. sit Y: a = sdz: Z et y: a = sAZR: V
  3. dy: dx (= dZ: v7 :, dz. Z) = Z: V () qu 5 aZ. Z + qu Saz. V differentietur
  4. aequatio S, tiet Zd (210) = siz. dz + silh, az. seut fiet: ponatur
  5. d. 1) esse constans se l(7. v)310 fiet det eleC
  6. 14
  7. Hin
  8. vo on v
  9. +ddZe (Zst + L st
  10. per aeq. 5 et 6 tollatur Saz: Z et saz: V
  11. 2 (X, Xax + yag = X. + Xyy - y = = X + sxy dy
  12. aa
  13. aa
  14. aa
  15. (X dedy : dx) = X dy y xdy : dx -y
  16. aa da
  17. Z v.
  18. = t dd Z
  19. SX de = x XC- y posito co = aty: de
  20. X3+ sit ceta Y C = ((at + X+), 1
  21. Sit co cd telle YL
  22. dc = +X dx: t(C + ). Ergo posito axila + X) datur SX x: +(a X)
  23. +
  24. 1 = VO ded = d0: 10. Ergo si detur fdx YB datur + (xdO: 10,
  25. et viceversa nam est 2x dCd 3 ) = X. C = Sdx VO d XX - 2Xax
  26. dy = pdx + ydx solubilis
  27. P- 1
  28. ady = ypdr + y 9dx fiat y = v et prodit ae D du = v ptXx + v qx
  29. sia C = C 1: n seu aC de _ Vpdx + v
  30. odx F sit en -et 1=0
  31. seu e = 1., 1-n et fei acd _, Ln adv = v pax + G dx
  32. perto ad =( px +C qux Multiplicetur per
  33. Iliter
  34. porro adco = coF pdx + co cgdx fiat c0 = y eut deo = Y p dus
  35. rf- Y+
  36. o=11I
  37. pdx + cd. odx
  38. sed hic non possum efficere ut alter terminus sit y, quia si faciat
  39. rf-r = 0, evanesert r assumta
  40. ad = p dx + ci gdx multiplicetur per ed
  41. fiet acd de = pco Ax + C cgdx fiat co = yt, et prodit
  42. er+r-1
  43. a( ary
  44. odx. Ubi vide nihil prodesse e
  45. quia sobi potest adus = ypax + y gdx Solvi poterit proaequatio trium
  46. cum ubique ex, detrahi possit
  47. membrorum talis, quoties cunque duo termint a duae affectiones ipsius u se habent
  48. ut summa et differentia, verb. gr. sit ydus _ = gypdx + y gdx, nam
  49. qdx quod solvi potest
  50. ro ye ponendo Z fiet dZ = Z plX + Zn:
  51. a v du
  52. n

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 95r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0187?run=74