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Leibniz-Handschriften zur Mathematik LH 35, 4, 10, fol. 8r

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: 0.76.

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. 9v); this page is its right half.

The machine reads it as

  1. nX + pX + gX + rX = x + t = (0 aXt bX+ xt dx +y = 0
  2. Tollatur X, habebitur aequatio in qua b, c, d, y, ascendent ad gradum stum
  3. et quoniam si besset = y, vel aliter nihilominus ascenderent, sic, sequitur non
  4. seu
  5. posse esse aequatione in aequatione aliter dari nisi , bt, et, 48, y
  6. 2
  7. y, 5b Yb, 5bc yb, ybc ybcd, yb, ybc ybc ybed ybidhe
  8. v, yb etc. y ib etc. f, yb y; et idem i haeleris
  9. facias a
  10. d
  11. Haec aequatio in qua y
  12. d. esse auius dimensumis, TC duaeum d trium, y, quatuor
  13. designavitur per u, 12, 13 14
  14. rabeE etd
  15. Rursus P, 4, Y, s, t assungent ad
  16. quatuor dimensiones. Ad huc amplius si B, et S, dem q et Y se habe
  17. it
  18. bunt eodem modo. Quod si _n tollas seu ponas agneat
  19. seu ponas n =0 tunc p et F,, g et 5 se habebunt eode modo et
  20. ita in reliquis. postre habita scil in terminis, ubi atest n.
  21. Inventa jam aequatione Y. etc. ponatur ut robique
  22. _Et sit jum y + ey + f9+ gy + hy+ K = Y et ullobius
  23. t, phahatur radix quinti gradus. comparando Y+ et et cam
  24. formula excilata ex Y+h dactur atssi
  25. d
  26. ex + 11X + 12 X + 13X + 14 X + 15 =0
  27. 21
  28. i
  29. _X + 21 =0
  30. fit 21 = 1121 + 12. 21 - 13. 21+14
  31. 2X) = 21
  32. 4 H.L
  33. X+21
  34. i
  35. 21.2t
  36. +H. X. 21
  37. = 21. 721S
  38. 1c. 2
  39. 12.
  40. 21. 2. 21
  41. Filort. 2t
  42. l.
  43. 13.21
  44. = 14.2
  45. 4122 +13. 21. 21
  46. =t2. H. 21 -13. 21. 21.21
  47. 4 1. 2_. 2 471. 21. 21, 21, 2)
  48. a21. 21.212) EI. 2.21.21. 2)
  49. X + px + g =0 sit X = ay rab X = a y + sabustioabG ab9 + ab gu ab
  50. +C
  51. fit + ay L5a b15 + 10 a by + 10 à by + 5aby + ab
  52. +9y +59Cy +104cy 419e +59cy +4c
  53. apis +aac ut +bapeus +aapey +ay
  54. X + pX + q = 0
  55. apb +gasbe +6apbC +40ub + apbe
  56. X Inx y y- ne tux +pX
  57. 2.2
  58. +ui
  59. =1. 21. 2) =H. H.H.
  60. +21. 2. 21 4 21. 21. H. 21
  61. y + Sl9 +10cC y + 10Cy +5Cy+C
  62. y +acy 46ccy3t4
  63. yi
  64. y +acy 1sces talis
  65. + b + abest
  66. vin

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 10, fol. 8r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068007:0015?run=73