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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 46v

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: 0.84.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The same scan is also registered as fol. 47r; its text is given once, here.

The machine reads it as

  1. . faciemus (1mo) aa +2max = xxF yy
  2. 2nay
  3. et differentiando + mxtny -0md
  4. seu a = - mx - ny. quem valorem substituem
  5. do in aequ. 1 fiet mmxx + nngus +2muxy
  6. Cerm-2 mX+ ny = Xx Agu
  7. seu 310) L max mxt ny = Xxt yy. quod
  8. rursus est impossibile. Itaque assurcenum
  9. erit et factamus a Nec assurgendo
  10. altius faciendoque a + 2maax = aXxXtjy
  11. in au
  12. qui quam lucraremur, redimus enim depression
  13. ad prioren. Hoc unum ergo restat
  14. ut fial (imo) aa raa + 2max = XX rgy
  15. y a y
  16. et differentiado habebimus: 2d0)
  17. era nt mix + ny = 0 seu a 2a-
  18. a=r minys. quem valorem
  19. substituendo id ag. 1 fiet (3tio)
  20. et mxtny L= nX+ ny = XX + yy
  21. seu -= mxtnus = XX + Gy. quae
  22. aequatio ut fiat possibilis, opore
  23. esse r= - qu. itaque si sit ae quativad lirculum
  24. =qaa +2max = xX+ yu posito qmn
  25. i
  26. cint a= nx +ny: qq
  27. p
  28. nosisalcqus
  29. Cmxnus: qu= Xx+yy Quae est aequatio ad
  30. ee
  31. Literae super fluae.
  32. 3+ a, y 1b, y +C,, . y + h, y+i, y + K equ
  33. V+ qy + ab y + abc. + y + h. 1 + hi ythikerg
  34. bc
  35. K
  36. y+ ly + my +n + y + py + qy+ a
  37. a5 l a + ma - n aequ. 0
  38. h- ph. + Gh - r aequo.
  39. ubi si ponatur n aequ. 0. item
  40. P et q vequ. 0. fiet : a - l a + maequ. 0.
  41. quae et uno gradu inferior, et haego s+
  42. sed facise la posito fuisse
  43. datam aequationem 2y2+ ly + my+Y
  44. poluisset investigatio ipsarum
  45. s et, a adhuc magis deprimi
  46. possumus et sic:
  47. atd aY +b, byad evat aqu o
  48. aceV + act
  49. en viceb
  50. + cbf
  51. Cb0
  52. sed jam video a. cte 8
  53. nem scibi potest y +b pro ay+ b tota
  54. aequatione per a divisa eodem modo
  55. y 4 d procys 4d. jam vero pro b
  56. vel d’uove literae poni possunt. Iitaque
  57. inutile est, ipsam literaum y hoc locer
  58. afficiidemest et in analogia t
  59. praesenti casu, ubi ay +b, cy+d, 4
  60. + hV+ F, + quad aequ.0. nam scribemus salva
  61. quatia
  62. y4t
  63. y + d 42y+F, gy+d
  64. sed hin viveo niffectionem ipsius y non esse plane inatilem

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 46v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0092?run=74