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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 78v

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.

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The machine reads it as

  1. aust eign auden fit bogus
  2. et
  3. cumanda est haec sormula
  4. equatio mydx tandu tapdx = 0 id efficio
  5. mulciplicande ubi m, n, p, dantur per X . Hoc variis
  6. modes assecutus sum, sed sequens ob consequentias
  7. inpriutis placet: Multiplico totam aequationem per
  8. q arbitrariam ettam pendentem ex X, fie
  9. mqyax tandus + apadx = 0. ubi pars apax
  10. summatur per quadraturas, Itaque ut altera pass
  11. ex duobus reliquis terminis constans etiam summetur
  12. compavetur summabili ydr + rdus, fiet aar=
  13. anq et unde andque + agdne = nodx
  14. et fit dg: q = mdx = adn,: an, seu
  15. fiet logu Simm log q. + logn = s(m dx: an)
  16. potuisset n’haberi pro unitate cujus log. 20. s
  17. prus aequationem datam peran divitissemus
  18. Nunc u Et fiet Caeterum fiet Na quationis
  19. tu ( summa eit angu agrus
  20. C summa laury +as posdx -o, seu, anqus + a spgux
  21. posit lgq et soluta est aequatio posito
  22. log. 9. = ((m dx: ar) = log.n.
  23. E
  24. ita etiam summata est formula bitermina
  25. nqyax tanguus. Datur nempe
  26. GCmydx + an dy) cuiadde (((M yaxtandu) dq
  27. id estafpx -a s SpdX) per aeq. D. fiet
  28. =q S(n ydx + an dy) adeoque siet
  29. angyta sphdx - a s(dque spar)-((nyaxtandys)
  30. posito log. q = S(mdx: an) - logn
  31. habetur absolute summatio, sed potur posita
  32. Paequatime su i my. Non tamen absolute
  33. sed
  34. tame
  35. habetur haec summatio, sed posita aequatione
  36. iater mudx ipsius mydx tandu, sed posita summation
  37. ipsius ejus aequatione cum = apax
  38. si poneretur m = af:q et n = a9: q, fieret
  39. log q- s(f dx: a9) - a log. g 4 log. a, esed ita
  40. itaque non possumus
  41. dato fydx + agdis summando multiplicare simul
  42. evanesceret log. 4.
  43. Smlaxran). seu q.
  44. Erm. Gecraliter ft habetur
  45. seudx.
  46. nyau addus)
  47. 2
  48. Em exiar
  49. Ay L an
  50. ) L. Andxian)
  51. 4 a f. diar tentemus
  52. I)= modx tando summande, Eiat v = fH: a
  53. ay s
  54. et fiet as. s: a)Hx +nfdy himmanda
  55. s
  56. quam conteremus ipsi a ydr tardy, sier
  57. n
  58. Y = nt: a ctadr = (n ds + + dn =
  59. in
  60. (nd + m(f: a) dx. sed ila evanescit
  61. pit aequatio data Aliter sit aequatio dato
  62. cormalata data SVdx + agdv, fiat v=- hy: a
  63. fiet erit (f: al hy lx +gh dus ∞ PSmdr: au)
  64. 3
  65. mydx tands
  66. 2 s ngdx + b adque fint h = ab.: g
  67. et dh = a g idx bS: - a b d9,: gg, et
  68. landem siet (F: ai) a bs ex + (a: g) pax a bs dg-
  69. n
  70. l 7
  71. et diviss omnibus per bs. fret
  72. 3d
  73. dx - adge = n dx, sed ita
  74. (f. 9) F ax +:
  75. evenescit m: n, nec quicquam lacramur
  76. dd
  77. latt e
  78. Hoc up foret nimium
  79. e republica Analytica

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 78v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0156?run=74