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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 204v

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: 0.74.

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. 205r); this page is its left half.

The machine reads it as

  1. Sed placet Uoducere Tubeulnsespeciales
  2. n Residui quadrali cubi Biquadrati
  3. erit sdx (X = X etIn- en en e, en 2e, e
  4. intat1, Vatno1. B, IaH. 2C, en F A 1SCeBC
  5. a sisis
  6. 12. 3. 1 g.
  7. Hic servatur regula generalis quae est sub finem pag.
  8. praecodentis, et sempor ros succedit, cum r et e non minus sunt
  9. . vol S, dx (X2 X
  10. n= 4 1sais d) Auadtat 3scubd
  11. 1) +lI. 2
  12. (1. Plimeris 3. 4 23
  13. 456 3. 45 5ib.18 456.7
  14. Si dx (X . 2 = Xl. 2. + 1.)
  15. PaeXI Letila
  16. (41S. 1x C - p3
  17. side (x. r . Li . 2d M
  18. qbi
  19. g 163g
  20. d.
  21. ine bie
  22. de rete, et .
  23. Etn, Entire, Anture, 2t n+ 3 rC, etcusque ad antnre, pro denomina
  24. , 4C, 2e, 4etIre, ete usque ad 4C +(n- 2) rC pro Numeratore
  25. imiliter tractemus subtertianos, ut si e, e 1. ) sel
  26. ut sint e, 1. 3 253
  27. 43 5.3 ex ppro sidx Cx. ) +en
  28. 4L, 2:3 1 4.3 5.3
  29. 2 ex sita potestatesnumnentur subter,
  30. Tabula suplestianorum.
  31. hois atis anis ) ibagitumltalo um prdibet eri hac
  32. n, L.Resid 2. Qvadrat.
  33. visub 3.
  34. unum exemplund colculemu, subquartants, qui multipli.
  35. X. M: ) = L XX - 4 -= -
  36. quadrati X - 2. X 2 + X Sumnat ant _. = + - = 8 +5 = - 2
  37. Disoruto
  38. orro. ilaquesi satm muttireur
  39. cubis Biquadratis
  40. a 7oni6
  41. sumando asque ad casum ultimi quo x=
  42. casu ultimi, est (daxte
  43. Ue ate, 3te, ate, usq adnec,:, con, tonrtexintale, lneyte e
  44. e qugdies mente mtite eppis dte cnta me iu di
  45. Ex, no n. se ) B etc uspud 2B, t Lnt NB + Er NHB. B, Ahibr 1)B affr. 116 ep, s, u tt
  46. centur seri primanis (, dx (X1: 2 - 4) +4)n
  47. Residui X. 4 -X summati dant.
  48. cubi Xhd - 3. X~ D E. 43 X: 2) 12 -X
  49. primanis erunt samma
  50. pro s, dX (X: +
  51. Ex his ergo altontemus regulam generalem; et pimum pro denominatore
  52. mi ten, ant te, tintrtetnnte intateuqu ad tntnte
  53. ne ie orEle, 3te, ate, usque ad nte
  54. es
  55. summa quaesita
  56. ne.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 204v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0410?run=74