Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 70

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: 0.89.

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The machine reads it as

  1. E N A F U R A
  2. 2 Propositio.
  3. Pro secunda propolicarum tiac ex mulciplicatione aN L C x
  4. Ad ∞ O PeF X = b ∞ 0 aequatio hXC X3 = b X X = bcX - bd d ∞9.
  5. C + d a
  6. ex suppolitamajore quam b, d bc majore quam d d, habebicean-
  7. dem formam, quam propolirio secunda ~ 3 L LX X = M MX -
  8. n3∞0, e consequenter erunt ejusdem naturx ex consticurionis.
  9. F’acta ergo adaequatione, ex comparatione secundorum termi-
  10. norum habebimus c = b ∞ l, hoc Cst, 6∞ l- f b. Deinde excol-
  11. lacione certiorum terminorum habebimus dd - b c ∞ = MM,
  12. hoc elt, resticuto ralore iplius c invento, habebitur dd ∞ bI L bb
  13. mm. Unde constat, cogmica rer a radice b, hanc aquationem
  14. Xx + lN- F bb- F bl- mm ∞ 0 duabus reliquis radicibus inrecti-
  15. Lb
  16. randis esse utilem. Denique, ex comparatione postremorum
  17. terminorum, habebimus b d d ∞ n3. Unde sequitur d d Foreaequa
  18. lem 7; e, cognica veri radice b, aequationem hanc
  19. Xx L bx F D0 reliquis duabus in serrituram.
  20. 3 Proposirio.
  21. Protercia propolicione, tac ex mulciplicatione xx. L cx.- 1 dd000
  22. per x - b ∞0 eadem aquatio x 3 = b X X - bC X - b d d ∞0.
  23. + 6 + d cb
  24. Ec suppolica bmajore quam c, de b0 majore quam dd, eric ejul
  25. dem formae cum tertia propolitarum x3- l X X = m M N n3 ∞O.
  26. et consequenter ejusdem erunt natura de consticutionis. Pacta
  27. ergo adaequatione, ex collatione secundorum terminorum habe.
  28. biimus 6- b ∞ =- l, hoc cA, 6∞ b = l. Deinde ex collatione
  29. certiorum terminorum habebimus d d - bc ∞ mm, hoc est, lub-
  30. Ctituto valore invento iplius c, crit d d ∞ b b - b l - mm. TInde
  31. constat, quod, cognita reri radiceb, haec xquatio xx f bx. f bb v0
  32. -1 -- bl
  33. MM
  34. ad duas inreltisandas reliquas adhiberi possic. Denique, ex col.
  35. latione

Cite

Ps. 2, fol. 70. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0094?run=74