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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 214v

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: 0.78.

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. 215r); this page is its left half.

The machine reads it as

  1. Itaque
  2. 4= ge
  3. sit nd rpp,
  4. fit sit Y =0
  5. fiet f =0 et h5 = 0
  6. +3 = (K g = 29+. Ergo g = + (+). 2CK
  7. fiet (+K = pp YbvV+ CCBYd:a et +e = sbllccl +d3: a
  8. sed g = blvpp 2bl Bb(tcC)P +6d cel +6d pp + b m + 2cemmjo: a
  9. ergo duos quabrs equando fit (2blV + CcV + cel +6d pp +bm + 2ce mmp = cel H8, bB tecbr p)
  10. ubi prodit valor ipsius m L (2 pld l + nm: p fit enim
  11. bm: pp +2CCmnip = 2 sb + ul +d, bvv + cev + d3 = 2blv - c B - ce l - 6d3
  12. rursus ob f -0, fit -mm: p = 2ccl +4d3: 2bl +ec unde sipt 20 drul
  13. 2cclbv + 433bV + celce + 2d3cC
  14. et ob h 20 sit = mn: p = 2ccb + 9d3; , 260 + Cc. 2ccbbl + 4d il + cevcc + 2 d’ ec
  15. unde fit v-l, 4d b+ c, = 0 sed non debet esse 40b + ct = 0 ergo
  16. fit v - l = 0 vel v = l ergo n= Ipp et 1 el( 1) N =
  17. ergo n = lpP 9= soll+ ccl +d: a et (seu (4) 13) = pp 9
  18. et L. pp et - mm: p = 2cl + 4d3:, 2bl + cC et M ipp-
  19. et exaeq. 8 sit b m ipp + 2cemm. p = F 2bll fi ccl ̸. d - 2 bll - 2 cel - 646d
  20. ubi si X sit + fit bbm: pp +2cC Bmm: p = = 4d, seu bbm ipp 42 CC bmmip + = c - 4bd
  21. seu b mm: p = -cc + Sc - 4bd. Ergo demque fiet.
  22. +cc: b - Sc - 4bd: l = 2ccl + 4d3: 2bl + cc = = mm: p = 2V
  23. et fiet 2cel + 4d = 2blW + cc W. seu l_ = cc WV - 4d3 :, 2cc - 2bW
  24. et fiet
  25. ce W-4d3
  26. 1y
  27. X = _C c- 2bW.
  28. y+p
  29. = pWVV + cc W- 4d3 pp
  30. 2 a v9
  31. 2
  32. Si esset W = 0 fieret X =
  33. 2cc- 3bW
  34. - 2d pp
  35. y + p
  36. 2CC
  37. se
  38. centro (Cc = cd+ Sc- 4bd
  39. et
  40. E) y +p
  41. Sed hoc video non licere, quia sune fieret. cc+ c - 4b83 = 0 seu c = c - 4bd
  42. Quod est absurdum manibit ergo Ait
  43. ubi momum quid
  44. Cc and
  45. y.y
  46. no
  47. (2 yt p
  48. =pWV Y + cciv -4d vp
  49. 2t c- 4bd
  50. Ubi morum porito W = c et 4bd ab -ce - Sc - 4bd3 3: b
  51. ubi mirum manere indeterminatam
  52. Sed opus erit calculum resamere pagina sequenti, ut magis secnti sinus,
  53. y3+pP

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 214v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0424?run=74