Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 71

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

The machine reads it as

  1. aa +X
  2. bd d vo.
  3. rabebice.
  4. illicucionis.
  5. UIM TEEMI
  6. nde ex col
  7. D = M II
  8. 0b
  9. equacienem
  10. ous inresti.
  11. oltrcndeum
  12. atot a
  13. 1 1IIX -
  14. + ea ddi
  15. -b d A 2
  16. a4, Ces
  17. 112
  18. 1On1S. Lu
  19. Jocum Bab
  20. ex COllation
  21. hocel
  22. 1t a Foru
  23. Iit i
  24. MII
  25. quela
  26. latioU
  27. A. O U A Y L O N U H.
  28. latione postremorum terminorum, habebitur b d d ∞ n3. Unde
  29. sequicur, d d aequari ; e cognita veriradice b, hanc aequatio-
  30. nem XX L b x F = ∞0 ad duas reliquas quarendas esse utilem.
  31. 4 Propositio.
  32. Pro quarta propolicarum tat ex mulciplicatione _x L cx. F dd ∞0
  33. per x - B∞ O CadeM a QuaFIO ∞3 - b X X -= b6X - b d d ∞ O. FF
  34. LC + dd
  35. suppolita c majore quam b, de dd majore quambe, erunt ejul-
  36. demformae ic quarta propolitio x3- L lX X - L M M ∞ - 13 ∞O, e
  37. consequenter ejuldem naturae et consticutionis. F’actâ ergo ad-
  38. aequarione, ex collatione secundorum terminorum habebimus
  39. 6u b∞l, Peu c∞ l. F b. Deinde, ex comparatione tertIOrUI
  40. terminorum, habebimus d d =b0 ∞mm, hoc est, restituto va-
  41. lore ipsius c inveneo, erie d d ∞ b b L bl - L mm. Unde constat,
  42. cognita rera radiceb, hanc aequationem xx. f bx. L bb. F bl. L mm0
  43. +
  44. duas reliquas radices respicere. Denique ex collatione postre-
  45. morum cerminorum habebimus bd d ∞ n3. Unde sequitur, dd F0-
  46. rexquale; e, cognica vera radiceb, hanc aquationem
  47. XX + b N F, ∞ 0ad indagandas duas reliquas adhiberi posse.
  48. 5 Propositio.
  49. L1oGullcaBioolioe aCaDcacione dd bd AadC
  50. DeF X =b∞ O~GuaTIO ∞3= 6X X =d d x. + dab ∞0. EF suppO(ItOb6
  51. = b0
  52. majore quam dd, eric ejusdem Formae cum quinta proxosicarum
  53. X3 = lX x L M x - F n3 ∞ O, _ COnSCQUENEeF eju LdEM NaTUTX eC
  54. consticutionis erunt. Factâ ereo adaequatione, ex comparatione
  55. secundorum cerminorum, habebimus l∞ c. p b, vel c∞ l -- b.
  56. Deinde, ex comparatione terriorum terminorum, habebimus
  57. Dcdd ∞mm, hoc est, rectituco ralore ip (IuS C InVentO, CriE
  58. BDT =bD=MmM. Unde discimus, cognitâ radice rer a b,
  59. X914-

Cite

Ps. 2, fol. 71. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0095?run=74