Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, 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: 0.71.

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

The machine reads it as

  1. X +bXX + aCX Mee = culae, sit y = x +v, fietque
  2. X +bXX X + ac X + aae = (X + 3Xx V + 3XVV + V3
  3. ac 3VV
  4. et fiet XX (b - 31) + (ac - 3VV) = v3 - aae, seu XX + ac- 30VX + qu
  5. b- 3V
  6. ~, b- 3V
  7. = aacc 6ac vD + qu + +bV - 12V ea-4aabe + 12aaev, compendi
  8. sit nacc - 4aabe = aF et 4b Et Xx _ ac +3xP V+ rbv.ba B, idueb 7
  9. 4, qu b- 31)
  10. st
  11. = 2b- 6v
  12. In formula sub radice tollatur terminus itimus, faciendo v= q et fiet
  13. exea f(- D
  14. a -34
  15. summ
  16. L1xA. 13YYZZ +12543 34
  17. Et fiit
  18. u s V = ga = Y = aa- YZ
  19. et ex prodibit in vinculo 2
  20. +12 aaC7 -12 aaer) 340 a Z)arr Z2 aaY 51 4, 4
  21. BaarrZ- P2 bac 2Z + 12ac YZ - 6ac)
  22. 4baaZ
  23. + 1Z
  24. a
  25. a
  26. =12brZZ Tabrr 22-6b
  27. 2673 baaztor
  28. X
  29. + a5+
  30. 393
  31. aa
  32. = acq + 3a 6aaZ+ ac +c
  33. _
  34. ea
  35. +4 bgA - 126+, 122 + 12bnZ - 4br
  36. =3a + 12aaYZ = tgrZL
  37. c
  38. t
  39. a y3
  40. 4 12
  41. s
  42. e
  43. et fiat p + 4)
  44. Dq
  45. 60
  46. .a
  47. naabmZ. ab1
  48. 6aZ tnarZ- 6aC1Y.
  49. a en
  50. 4
  51. 4
  52. +121 (Z= 12A1Z
  53. es
  54. Aad
  55. e
  56. a)-0
  57. 1 in elqe bna 16ih
  58. CZ-3a +6aarZ + 3N - ac DZ (-346 +12a YZ- et
  59. r+ 2acMHaaeY -
  60. X - adque t 34 6497 +2n72
  61. 2bZZ-6aaq trt2b),
  62. vades
  63. 7Z, 2b-61 = 2( 263 - baa + brz
  64. 3a412a7Z- 184 rr7Z + 12aap13
  65. +44 bze - 12a br7G + 12aab p93
  66. -6aC74 + pa cYZ
  67. Vp
  68. 4
  69. 93
  70. 3a +baar
  71. tandem
  72. s
  73. -6aaZ + (6r + 2b) 22
  74. quaeritur autem y dx, fit Xdx + (a a - YZ: Z) ax, Et sydx=
  75. x+ saa- Yax
  76. quae summa involvit irrationalem trimam.
  77. Rursus sit X = a si in aequatione prima tollamus faciamus X = aa -q, et substitut
  78. V
  79. valore tollamus summum terminum, W03, res eo redit ut radix cubica extrahatur
  80. ex WW + mW + an, seu quaeritur 3(WW+ MWtan)=
  81. sit avWo + ZmWo an = W t3 + 3cutEa + ta ZWba taan (t an)
  82. et divisis omnibus per WF W, fiet W1o t + 3W (At Vaan -a) + 3 a (t aan -am)
  83. luw +mi van potest reduci ad coco + pco et quantur
  84. Cacoco +pC) sit co= P fiet 2((3, a + aap) et - ( + aap)
  85. Faap Z cubo 3 + 3888+, 3880+ a X 3 fir _ +90. + E∞:2 - dap: 3E
  86. e
  87. 11)
  88. taap = (8 +3983PhGEEH F 3GGracp + 38 aep F X 323 Saap F 35 a Yaep F aap)
  89. 83
  90. (07
  91. everte

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 13r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0025?run=74