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Leibniz-Handschriften zur Mathematik LH 35, 3 A 7, fol. 21r

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.

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The machine reads it as

  1. sit X + b X + CXX + dx + e aequ.0 Resolvatur in duas partes, nempe
  2. EA X + m X + n XX + p X + 9 aequX +YX + Sx + t xx + VX + y
  3. quinque
  4. quarum partium utraque aequetur factis ex quluor radicibus rationalibus
  5. prior ipsi
  6. X +1 X + 1. 2 X3 4 12. 3 XX + 1. 2. 3. 4. X 41. 2. 3, 4,5
  7. 1iq
  8. s
  9. q
  10. dis
  11. 219
  12. 1.215
  13. 3. 4
  14. 305
  15. 1. 4. 5
  16. 2. 3. 4
  17. s
  18. 2. 4. 5
  19. 43
  20. 12.3.5
  21. 1.3. 4. 5
  22. 2. 3. 4.
  23. Ret 1 - 3 aequ
  24. 4. 2. 3. 4
  25. 2. 3. 5
  26. ere
  27. F. 7. 8. 9
  28. 6. 7. 8. 10
  29. posteror iasi
  30. + 6 X er.
  31. BLsit aequa b fat. 2 5 6.78 aequ C
  32. .
  33. negaieu
  34. aequ. a f1. 2 3. 4. F = t. 47. 10, qu.
  35. Hatum 5 qu aequationum ope inveniendae.
  36. incognitae derem. Ergo quinque possunt assum peot
  37. ita ut reliquae fiant rationales
  38. Incipiamus in simplicioribus:
  39. ExX + Px + 9 aequ. ol e fiat: + 8 2 - 6-8-8 aequB
  40. in lieris
  41. ec denique 2. 3. 4 = 6. 7. 8. aequ. c
  42. a + b+C l -m - n aequ R
  43. fier a + 1 (aa + P Ca + 9 aequ. 0.
  44. + lemin
  45. 2.342.443
  46. ab+ at bc Im ln- mn aequ . abex lmm aequ G.
  47. 25
  48. almalurma + lmn
  49. 1t
  50. resolvere in rationablius
  51. Opus est tantum aequationes 1. 2. 3.
  52. a t ago a+ tet PiE scribantur 2a +3l + 4b +5M + 6C + 7n aequ 1
  53. id est aequare a +b +c= l. m X cum fag +si et ab ta bC Imuta mn cmfgatBAgh.
  54. quaenamus a litaequa f bem aequg. calaego
  55. et fgt cum abenlua cum fgh
  56. a + +ab aequ ee 42el 4+ l 4 2lm
  57. Se
  58. Eit ftgahaequ. c.
  59. a aeqd C - b - c - l - m -n igo ex aequ. 2 fier cb - bb (bc bl - b m - bn Ccabence -cl - cn bd
  60. (∞)
  61. +rab p +rim
  62. ln - In -mn aequ. p. et ex aequ. 3. fit: ebc - bbc - b cc - bcl. -bem -ben. - Imn aequ. 9.
  63. aequ. Smultiplicetur per c. Ope aequ. et 6. habentur duo valores ipsius l.
  64. aequando prodibit aequatio in qua omnes literae altius assurgent
  65. a,l. bum + C- n aequ, C. 2a l + 3b 3m + gc - qn aequ. f denique 54-5 l +6b -6m +7c - 7 1
  66. 3d
  67. si quid judico optune fiet: b aequ 2a +3b + 4c, et maego 5a +6b +7C.
  68. ocaque
  69. et naego ea +9b+C et erit: a -3a -5a - 8a +b - 3b- 6b- 9b +C 2ohGbo
  70. et ln erit: 25 ap 1 36bb+47cC+ 26135 ab +(7 194 ac + 374 45 bc. Qui calculus tam probatiodem
  71. daria mulliplicabine, quam nic sene numero rum in unu additorum han 25. 36. 47. quadratorum
  72. quesficientes faciunt a. 11. coefficientes ipsius ab sunt 8. ipsius ac a ipsius bc 10.
  73. In aego. 5B44 164V+ 310CC t 194b8 ab + 4e 179 C 5.10478 a6 +6. 16+ 79 bc
  74. en
  75. 124 6, 7.9
  76. equantitates
  77. Ei
  78. 6iG- 78765
  79. sid 5.7-)
  80. aequ. b
  81. 22
  82. L.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 7, fol. 21r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068220:0041?run=74