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LBr. 57, 2 · Bernoulli, Joh., fol. 79r

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: 0.75.

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. 78v); this page is its right half.

The machine reads it as

  1. r = 1 - b = m - c - n - d = p - C etc
  2. D
  3. lma nin D imn
  4. (= X +b n = p +C
  5. (-m b -c
  6. Im = Im
  7. lun = mu
  8. buc, bm d, b. d sed = buc, cad = ba c, ca d -
  9. boc L bnc
  10. L- P. =
  11. b-e = mup
  12. A = x+d p = X+ C, etc
  13. seu im = b. L
  14. et b -c = L- - 1
  15. cid + Cud = bnc
  16. e etim d ocibneot E b, Cd. M d. E, dab, M
  17. Seu tun c.b, dabil B.C, d c, M b. d, C- d, n
  18. Imnp emp
  19. et b.d, cad, enb, n iud, ad, ba eaM bud; cad, eud, ea b, H
  20. Et ita habetur regula progressus in infinitum
  21. bud, cad, e d, n2
  22. Ao U02 set bb
  23. XP fiat X = l.b et tner = mnete imnete imnete
  24. Zlmet l = B B + b -c et 1 - 2b = m - b -c, ergo fiet immpo
  25. pevius ex valore invento habetur n
  26. imnete
  27. b-c, d - C, C- b, M 6. d end, 10, 1
  28. e-c = b4c
  29. e, d e, b. e, p sed b c duc, ea B, M duc, ec, ba e, M = ba c, d C, labs e C st
  30. F d. C, e-C, b. C, M Cad, ea d, b- e, M d - b. +d
  31. XX, X.
  32. . b + exd - 1, d tra
  33. ina Imnp bue, imp e-b, lrin
  34. ergo pro lun, et mup substituendo valores inventos fiet: Immp C.b, . b, e b3 l
  35. tne imnp imn imnp
  36. innpetet se mper
  37. Imnaet
  38. Imnpete
  39. np et
  40. nodam urvu
  41. Ergo tandem fiet
  42. b. c, d-C, CC,
  43. L Xtb A n- nei n = Xt d. p- 2tC
  44. et it forro
  45. 1. B.b Cmmpetc
  46. bre +, umpere
  47. nete mneri erm ap missi
  48. hoc a babee un. imaji
  49. nea mncu innen nu cum mus
  50. te +Gbte x
  51. humpete mimpate
  52. C -
  53. 1terdm 2d brued + bb+bercea = H+be ACC, C = mop.
  54. p. np.
  55. inn etiam consideranda esset resolutio formularum in dudivisres planos seu secundi gradus. Qraestio est an omnis
  56. Etigo
  57. X = X, Y
  58. unp Emnegete
  59. e = q.
  60. pi
  61. brerdre, berbo + cd + bb rcet dd
  62. Pabbc+ bc C +
  63. sccumo quadrature ad quodratur iiculi et Hyperbore. sit
  64. Xx+ ac X∞ + aadX + aB = 0 et
  65. resolvi possit
  66. Uxx qalmX x aa mp
  67. et ax = X + a et sprudit XX X X
  68. er ejus
  69. et fit
  70. p. m pam seu pp- mm pem - p - m .
  71. seu p = m + ppm - pmm =cpp -emm + 2epm = add, et pro m ponendo ab: p, fiet
  72. l= ad:, p-m et l = aaod:, p m = aptm -ac seu ami
  73. p - a: p + ab pp: p - aa ba p : pp - cpp - adC: pp + 2 adCp: p = add, et multiplicando per P
  74. fecta ex Xx + lXtam
  75. sed quaeramus prius m et p
  76. +2aP sit 2m = cella + ad: l, et ( 2p = etll. a - ad. l, alque
  77. fit pe + B - cp _, ab p - addp - aa bpp = aa lbep = a B =
  78. adeo amp seu cc + rellia =(F: aa - aadd: I = 4a B, seu (6 + ac l taaccll - a dd
  79. pr te ii sure s. un e. pes eb. srtir oper tar
  80. m. + p = +ll. a M = P = ad: l
  81. P
  82. ut l’etiam sit imaginarica
  83. tuu De
  84. setum
  85. alnter sistictis rela

Cite

LBr. 57, 2 · Bernoulli, Joh., fol. 79r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-3653099:0157?run=74