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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 194r

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: 0.81.

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. 193v); this page is its right half.

The machine reads it as

  1. Nonamus equ. esse edx + Vxdx + bb do + nXVdo + 2oCdx + AC XAx = 0
  2. 2 bb
  3. d0
  4. posito v = 1H AEO ADIX AIX + B X + 24 X er. Nam ita explicando aequadem
  5. per V, fiet manent 20, 3, et, indeterminata; et per has inveniuatur
  6. 2ubb
  7. 2
  8. 23, 24, 25. modo praescripto: Quod si haec aequatio posset resolvi alium haberetur
  9. desideratum. sed hoc video non esse runus difficile ipo magis ipso quaesito.
  10. Et revera video video cgeeralem determinationem ipsius 23, 24, 2), elae per 20, 21, 22 detere
  11. pendere ab aequ. generali aresoluta CDdx + vxdx + bb dv + nxvdv + pdx FgXdx Z0
  12. Hfinc patet et ptiam additos mnus litem terminos unam ex literis solum alteram
  13. quae certam ex literis delectam cum sins affertiantbus solum continent, non augere
  14. dificultatem contineri sub generali sed quid si jam invertas rem, et estam
  15. nodam aequadem explices per V. faciendo _ X = 30 4 31B +32V e tc. d
  16. Yax yxax Xbb dy + nXydy - axdx = 0
  17. Redeundum tandem ad ipsius serieiactua i aeq. prima,) actualem
  18. sed nihul hune fructus.
  19. extubitionem dissuntando tm explicatine cipsorum 10, 1, 12. Et sic
  20. inveniantur 202 13, 14 15, Explicatione facta rideatur an termini, qui involvunt a
  21. S
  22. simul additi per se sint summabiles. An aut an non quia infontit, se infiniti sunt,
  23. quaelibet serres infinita sit summabilis, si ita ex infinitis illis seriebus, fiat nua
  24. seret, qua X ipsa lande sit summabilis. Ita residuum quod idem est ac si a esset 0
  25. habebitur per feriem curvam illam simpliciore cvax + oxax+bbdo +arvao=
  26. y = 10+ UX v 12Z + 3XX
  27. dy =1. 1 +2. 12X +3. 3X F4. 14X et
  28. sit bi) dx = by 10 MX H12 X + 13X 114 X + 15 X
  29. 13=
  30. +Cxdx =
  31. c
  32. 414
  33. ay = iai iono (1o313 1 Atagus 10b.b
  34. 11.t1I. 11. 2. 12 1. 3B n A. 11. 515
  35. 1. 1.1I. 1. 2.12 12. 3.q 12.414
  36. 13. 1. 11. 13,2. 12 13. 3. 13
  37. 11. 1. H 14. 2. 12
  38. 15, 1. 11
  39. rss2 = - B11.bb + b0 e = a, vela 1 = - b si ponamus 10 = 0. tabitur
  40. 13 - bB non 1 Da
  41. fiet = 11 per aequadem quadraticam, sed si velimus aa per simplices
  42. aequationes, s sit. 11= - b. fat (bb) + C + 10. 2 12 (+ 1. 6b) = 0 seu 12 = - c: 2. 10
  43. et 1= b LCb: 210 + 10. 3. 13(= b L. B in -c:, f. 10 seu) + bc: 10 seu 13 = = bc, 2.310
  44. et -bbc: 2310 +10. 4. 14 - b. 3. = bC; f.310 + Cc:, 2. 1010 - bc:9 2. 310 -b. Ergo siet
  45. 14 = bbc : pt. _. 919. 10 = cc: 24. 10
  46. e
  47. Predemi erqu ad effectiva serenum ex hibitionem

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 194r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0383?run=74