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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 281r

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. 282v); this page is its right half.

The machine reads it as

  1. Sit Aequatio cubica intractabilis: V -aq + a l 1.
  2. ea
  3. Ponendo vH =, fier:
  4. = ag ZX + a 10
  5. scribemus:
  6. +pZ X - à l p0
  7. quam compendum causa
  8. Sin adhibeumus ab initio v = aqV +aeY. junmus V1Co +B
  9. fier: 43 + 3b C0 + 3bC0 + 63
  10. - aq. - aqb
  11. hioc peropendum d + P Ed +aZ Cd. + a R
  12. fier (6)
  13. comparandus
  14. cum
  15. V + 3 CV + 3cV + e
  16. + P)
  17. D
  18. +2FCV + PC
  19. +ag y + aqc
  20. a a
  21. y 46 muy +gmn y (- n
  22. 14qui utique major quam 279 - a F quadra Aebet ergo aequatiaii () termini
  23. sive:
  24. 9
  25. secundi quadrati pars quarta
  26. aequari termino tertio:
  27. = n
  28. H-66 m En
  29. Si velimus facea 34 Terminum etim
  30. aq.
  31. collatis terminis senudis
  32. 1 (2) C + 9 DC + 4 a 9
  33. 10P- 36 a2
  34. P +Y 10 P - 36 a 2
  35. 9b agb e (B) agb ar
  36. y7 +3CV + 3C y +C
  37. +3b.. +6bc.
  38. 1312.
  39. y(py 1. a
  40. hoc
  41. + N
  42. vet (P) ( +a.. id est explicando (P et (2) fiet:
  43. (9 664D + P
  44. et F et
  45. Ergo jam explicando aequationem otam, inscrendo siticet in
  46. locum ipsius C, ejus valorem inventum, fiet:
  47. V. (3- P
  48. + SioF= 36a2
  49. s + 10 V
  50. - 36a2.
  51. cujus terminum ultimum, i in summam colligamus,
  52. habebimus -
  53. (220,
  54. 27 (10e)
  55. =16) +3. a p.
  56. 3r10 -2
  57. (19)11 2
  58. Et loco aequationis 17vel6 ita scribemus:
  59. Y + (10P - 360 QY (+ 10F y
  60. 2= 36a2.
  61. Quam aequationem comparando cum
  62. +7 P2 S..
  63. -aq.. aequatione Y, erit
  64. mM (2) 1- Sior- 36a 2 ex collutis na
  65. fet 36+6bc +365 a9.
  66. et pruo co ponendo V+C
  67. nempe mn (Pa. ergo m n ()a
  68. at idem m n et a (2). Emo (
  69. aeZ
  70. superest jam collatio terminorum ultimorum, pro qua erit
  71. 66 mn
  72. Cep
  73. 166 10 2F.
  74. 3 6,6,6
  75. (23) 11 2 107
  76. 3oae +Y..
  77. 9,6,6
  78. C) d
  79. noc: 13 + bs3, aq
  80. sine e+t b, saq
  81. +5bC
  82. ubi notabile est
  83. si fuisser
  84. tectius affinuatio
  85. =ggc s7
  86. id fieri
  87. non potuisse
  88. + 3b5
  89. et haequidem ex
  90. at idem in
  91. 3ptLV27
  92. 410
  93. qoasa ciic
  94. (4 PY 1)
  95. id sou
  96. acc~3
  97. 3t dicia
  98. + a R
  99. , 10l- 36a Z
  100. (25) ob H, mo
  101. isp = 36a2

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 281r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0561?run=74