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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 52r

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.

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The machine reads it as

  1. 11Y +21 _ + 1ady + 2dZ + 120a = 0
  2. dg 9 + decc
  3. 319 +41Z + 31dy+ 41d3+ 340 a =a
  4. d31y + d41 d7
  5. X+ a, X+b, X + C invicem ducenda, fiat X = 10y+ 11: yrs de quaeretur am
  6. formula secund y possit recipere duas radices aequales
  7. 2t
  8. a
  9. una radix + 10y + 11a allae seu y +. natat
  10. V
  11. a y +af
  12. 11+5
  13. 1ota
  14. nam y
  15. 1a +
  16. a et
  17. sit 77 20XX + 20_X + 22, fiat X
  18. = X + aac sit
  19. X = ayy-aac
  20. alia
  21. d
  22. Cy +
  23. 11 + F
  24. ab + bF sed haec duo
  25. 10+ b non possunt
  26. 10 esse aequalur
  27. 10 +1 unde et forent aequales
  28. et X = V (ayy = aac)
  29. fiet X = 3C 10, 10a vV + 2. 101aa V + 1 11. ad .. v v + 25V + ff)
  30. 0v + ia
  31. = aac VV = 2. aac f V = aac ffd
  32. ante omnia tollatur vV, sit 10 = sac et quod si etiam tolli posset V, foret f = Ha= E 11 : ac
  33. p+
  34. 5
  35. y =
  36. OV + 2
  37. 1+a H sac: C, Ita. Hac et ita in valorers destrueretur v
  38. tam namqus no fieret duca ergo sufficit estiui sumia
  39. is
  40. ostat +2. 40. 1 aas +. 11. a malliplicand per v +f
  41. aa c f = aacff
  42. (Z.. VV +. v +..
  43. )
  44. 10. 11 = cF
  45. Coc pC
  46. fiet . vo +.. v+.. . = co +3 cc01o + 3 aecd tC
  47. a V + 11. 1aa = ac55 si posset esse o
  48. 10. 10-aC
  49. vel
  50. 10-
  51. 8
  52. 10. 10 - ac
  53. 10. 10. 11. 11) 2. 10. 11 Cf (+ cC55,
  54. an
  55. 10.1 ef2
  56. qu (10.10 -ac) a
  57. + 21Vac V +. H. 11 a
  58. 10. 10 - ac
  59. = II. 1Ia = c ff, 10. 10 = aC = (10. 10. 11. 11a, 11. 11ac
  60. ba
  61. -10. 10 cff accff)
  62. firiet 10. 10ff = 11. Maa = 2. 10. 11a5 = 0 seu 107-1 a
  63. U. Ha - c Quod nonlliet
  64. -2 cf . = c fF divividi polis per v +f. Ergov +-
  65. et foret 11. 11a - cF 3 :, 2. 11 Yac-2Cf. = f
  66. 2. I1 Vac - cf
  67. v45
  68. seu foret Una ( cfF) = 2. 11 lac f( csf) et fieet f= 1a: 2 Vac
  69. seu fsret. Il. 11a ( cff) = 2. ilsVaC - (2Cff, et fiet ff = 211 sac f+ 1 11a
  70. = 11. 11 a = 11. 1. a et C = 1 Hac =0 quod non licet
  71. g = X + a, x+b, XFC, sublato termino sum fit yy=
  72. 7l, ZFm
  73. n
  74. Z+ l, 7+ m
  75. 23-0 cub (Z +4)
  76. gu = X + bXF abX + bXX + cx + C fiat 99 + y = v + f x +
  77. Eus
  78. 2fX = X + bXX
  79. et si veo t fict n t 2 X seu vvt +
  80. +
  81. n. 11. aa - ac f
  82. et
  83. X
  84. dividi dedit per

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 52r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0103?run=74