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Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 13r

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: 0.72.

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The machine reads it as

  1. ib obl +Z
  2. 2)
  3. M X + 2yl (+ (9 + 29(4 V +Z + 27C
  4. X + axl - ( + 70, 27l 10
  5. Ergo X +ZXI + l~ 1 - qV- 27l +.
  6. s
  7. eo
  8. Ergo. Z - +Z1 +Z l debet aequari quadratos cequetur BZ
  9. v
  10. + X + 2X (+ 2I- l 7
  11. 31 Ce 8. Er (7 X F axL + (+ X + 271 (+1)
  12. Ergo l H X + 2XL + Z + 271
  13. v
  14. 41.
  15. qu
  16. 2
  17. +
  18. 17
  19. ya
  20. conferatur haec aequatio cum alia ducorum
  21. incognitarum ea duas resolubili, omnium maxime composita, quam
  22. alibi expressum, ut huc trausseribam necesse non ess
  23. fici syt ast ge V (bh Aeq. 1. fYl + a (Bl 9C) + Bbh
  24. K-
  25. - - .. Aeq. 2 fYl + a β l , ed) + B+ β
  26. +S aBt p. Cd)Aβ
  27. -.-
  28. . . . . Ergo gcY - ed) p A β - bh
  29. et multiplicando productum pr
  30. Multiplicetur (3 +d. per Cy + e, fiet E3 + de y + de
  31. tre
  32. a
  33. Mlultiplicetur et X + A per ax +D, fier: a X + D X + e
  34. Meultiplicetur productum prius per (3, posterius per D, atque ita puignntur,
  35. fier:
  36. +da.
  37. CE Y + B+ CY + Bd + a X + YBX +Y
  38. + Be..
  39. sive divitis omnibus per βC,. fiet:
  40. +2 al..
  41. fotu +( + VatX +VBLX o
  42. Bc
  43. le. lort
  44. c
  45. Bc
  46. + Z aV.
  47. rBC
  48. vel pro substinatur , fiet pro 8 olsituatur 8 quro 4d, fiat
  49. pro a fiot , fet: ero e e, fiat c
  50. qua
  51. 3t + 3y + 3l + Ma X + GM X H0.
  52. +D. + E
  53. Sive proz e ponendo ovl, fiet:
  54. et pro sa porendo gl
  55. y + dy +d l + 8, X , v X po.
  56. + 2.. + 6v l
  57. Quam aequationem conferamus cum data y + 2l - I + X + 2lX jo
  58. ergo 8⊓L. 60 2l 4- aB )S ⊓ - 3 d + ∞ p 2l
  59. Ergo n_ H I. et ZC 2l, quae sungendo fiet p, et ap 21 Ergo HB
  60. ego a; n5,
  61. et
  62. e
  63. CH
  64. 21-d d
  65. c
  66. 24113
  67. H - 3
  68. ita
  69. renique V 2l sive +e 2l, sive E (quin quia d- 3C. Erst ep 2lc + 3C
  70. 2al
  71. Hinc patet V. et β. sive c. et a. sum posse pro artitrio Caeleras haberi explicatas et fie site
  72. e
  73. 35,411

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 13r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067996:0025?run=73