Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 396 · Hermann, fol. 34v

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: 0.87.

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. 33r); this page is its left half.

The machine reads it as

  1. pervenit ric progrediendo ad uique 70 aquationem, quis omnes non nisi 34 ad
  2. summum diversas curvas defignare ostendit, Rarumque curvarum asgniptotas
  3. aves, puncta flexus contraru aut reverrionis aliaque simblia diligenter assiynat.
  4. Duantum ad methodum Bernoullianam de ducenda-
  5. minima linea in quibusdam supersiciebus ut in conoiditus
  6. rectis, illa non diversa multum est ab ea qua lineam
  7. celerrimi descensus anter inquisiverat, et si recte memin
  8. itc circiter habet. Esto Curva qua cunque ABC rotata circu
  9. AB, qua gignat conoides ABC FD A, in ujus superficie dur
  10. cenda sit linea BkH inter eosdem terminos travisrima
  11. Sint eF arcus aquatoris, ABC, Ases, AHF tres meridiane
  12. BN, XL arculi descrixti a punclis B et X; et Sunto, CD = 12 = 5D = a, BG = NG = f;
  13. XP = _LP = g; et = m, 35 = n; BK = S, XH = u. et tan dem NC = AeL = p. Euibus positis
  14. CD. Ct :: BG. BN ) 1D. 17:: kP. KC )VBN2 = NK = BH (VXC + LH2 = XH)
  15. a. m:: f. Em
  16. a
  17. a. n:: g. gn
  18. hypothesi Vmt + go = V unqu
  19. as
  20. a
  21. ea
  22. aa
  23. L+ pp = Min. unde: Hmom + Agndn
  24. aas
  25. punita B, fexa sunt, erit am = - dn; adeoque m=sgn
  26. aas
  27. aau
  28. is
  29. etam ex
  30. aau =0, et quie
  31. hoc ett Am
  32. aas
  33. conitanti
  34. Sint jam BG = f = X, ee = y, Cs = m = dy; tangens in se velk C = t erit KN = Fd x. p
  35. adeoque Bk = s= Vmms
  36. ac
  37. un de elicitur dy-
  38. actar
  39. aa
  40. x
  41. ax des
  42. = const. = nc
  43. Vx dy2+ aat a
  44. V Longitudo Curva erit = Sfdx. Hanc
  45. Vx -CC
  46. Methodum Universaliorem reddidi ut in omnibus plane superficiebus lonoidics
  47. et non conoidiui aqualiter succederet; sed ne longiore mea exiitola Ampl.
  48. Tua tadio sim in aliam occasionem eam reservo. Clarisoimi Viri Ballierius
  49. et Bernoullius me rogarunt ut Cultum suum Tuci Ampl. et officia viusrin
  50. deferrem, hicus insignis vir sperat ultimam suum esirtolam rite Titi teaditam
  51. esse. Hiice Vale, Vis Consultissime et benevolentia Tua Complectere
  52. C
  53. asilea 177 Julii 1706
  54. elebersimi Nomines Sui
  55. ultorem indefestum
  56. Hermancrem.

Cite

LBr. 396 · Hermann, fol. 34v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 312). https://leibnizlegible.com/page/DE-611-HS-973581:0068?run=312