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Leibniz-Handschriften zur Mathematik LH 35, 3 A 19, fol. 7r

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: 0.79.

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. 5v); this page is its right half.

The machine reads it as

  1. vi
  2. XG.
  3. e
  4. arat
  5. b Xy + C X
  6. bxZy + Cxyo
  7. bx0v + c8yv1
  8. bxey + cxyy
  9. bxzv + cpyn
  10. bxzy + exyn
  11. hXsyn efxyy
  12. eti
  13. equationes duae disquigradales ary+ brrcus Exmatnus +
  14. ultiplicando fier axy 1 - bX- cy punde multiplicando fiet aequatio
  15. mx-ny r lxy
  16. tamxytanxy B +blxy + clxy
  17. it aequationes disquiguadales
  18. (1
  19. a Xy + bxZ + CyZ + dx + ey + fZ + gF
  20. axy + βxZ + H 3Z + d X +Ey +9Z +Y
  21. 70
  22. Axy +BAZ +C yZ + D F +Fy + FZ + Gp0
  23. et +67Z+ F7Z + dX + ry +F+ g0
  24. ope harum trium aequationum axy+ buZ+ C3Z + Op
  25. Lxy + βxZFRyZ + D, 1o
  26. Axy +B,) +C32+ PB
  27. habetur vy. XZ. yZ et valores substituendo in aequ. 1. 2. 3. habentur
  28. rursus tres aequationes pr inveniendis X. g. Z sinpilibus
  29. a X2 +by + cx + dy + e B0
  30. X x + βy + KX +Sy + E B
  31. GeaCX + a dy Ha e
  32. a KX - ady -a C
  33. B Cx dy e2
  34. F ab KX dab dy tab C
  35. F + aBcX + aβ dy, ap
  36. LoX
  37. =ab cx - a b dy = abe
  38. ba pa
  39. o quae aequatio est aequatio identica, idque
  40. poteram praevidere duabus enim
  41. equalionibus duae quantitates
  42. tolli possunt, sed anveniri
  43. idemestergo et in
  44. sed si fuisset aX +bu +s Cx+ dus +CZ + f2 B
  45. ax + Byt
  46. AX + Ry
  47. +K X + Sy +CZ+ G2 7
  48. + Cp+ Dy + EZ+ F n
  49. restabit aequatio in quam solum erunt. X. y. g. Verum ea aequatio
  50. erit unica tantum. idemest in reclangulis ergo
  51. non potest disquigradalis reduci Tam facile ad aequigradalem
  52. assumendae novae literae, et aequatio dvidata hoc
  53. modo diorenda implares aequligadales.
  54. X 1y
  55. c
  56. est xext yu
  57. e
  58. ogoigradatis.
  59. ∞ a∞X+ a)a 2 aO- aD
  60. a∞ X + By + a V N0
  61. aB. ab
  62. Xp 3O- b∞
  63. problema
  64. euit ratio

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 19, fol. 7r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068232:0013?run=74