Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 314

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: 0.83.

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The machine reads it as

  1. 314
  2. F R A B OFS CF a SOH OOFFN
  3. Temper sic duei polsune, ur daris rectis sine aequales, nec ost Pro.
  4. blema eo calu determinationi obnoxium. J et
  5. Innumeris, eAto B D ∞ a ∞ 7, F. F ∞ C∞ 24, Tiecque aequario
  6. quae lIta X + - 24 X 3 - - 178 X N -- 686 N - f 2. 4. 0 1 ∞ O. OUX
  7. cum diridi nequeat per x L rel - aliquo numero, ultimum ter-
  8. minum diridence, tollo secundum ejus terminIm, de HE aequatio
  9. 7
  10. yn
  11. 74XL 55L2 L 4375L 6305 1620. Oux ad eres di-
  12. mentiones reducta dabst aquationeim yo = 2203y+ + 32937577
  13. = 19140625 300. Hlac autem cum diridi pollic per yy L 625
  14. ∞0, arguieur y elle 25, qua mediance diridetur ae quatio 7+ X
  15. = 552 : Z2 = 4375 Z = 6305 2530 in duas aequationes,
  16. LL
  17. 252 = 50220, et Z2, f 25 Z + 2244∞O: FenE
  18. que radices prioris Z∞ 12 E V, 207, de Z3 12 3= V 207;
  19. ac posterioris Z ∞ 125 = V 32, d Z ∞ , 1,2 Z V 32.
  20. Verum quoniam, ad collendum secundum cerminum prima x-
  21. quationis, supposita tuit x ∞ Z a: hinc radices ejus crunt
  22. X ∞ 16 - F V 207, d x 3 26 =, V 207, UE e ∞ ∞ - 9- L. V 32.
  23. NCC HON X ∞ --9 - N 32. Ec liquer D F FOrC16 = V 207.
  24. DI26 F Y 207, DK 9 = V 32, dc denique DM 9. F V 32.
  25. Fodem modo, EP D Fuerit 3, ex FF 4, inrevietur aequatio
  26. ∞t - 6 ∞3 + 2 X x - 5 4 ∞- 1 81 ∞0, quae similiter per x L vel.
  27. aliquo numero ulcimum terminum 8r diridentce diridi nequit:
  28. unde lublato lecundo ejus termino, tec aequatio Z +X 11 1 77
  29. i 75Z= 105∞ ∞. Qua ad eres dimentiones reducca, dabit
  30. _GUATIONCM y0= 23 7+ + 775, 97- 5625 D O. LleC, CuI
  31. Per yy = 25 00 diridi poltur, sequitur y Fore 5. UInde dirisa
  32. aequatione praecedente in duas aequationes 77 -
  33. y = = 200,
  34. X ZZ = 5Z F 14 + ∞ 0, inveniemus Z ∞ V 7 -[ 2 =, vel
  35. ∞V7 = 2. Oux bina cantum radices ex utraque aequatione
  36. erui possune, cum posterior ae quatio ZZ 5Z - 24 1∞ O l
  37. impossibilis, per ca, qua p. 265 expoluimus, adeo que nullas ad
  38. mictat radices nec reras nec Fallas, sed tancum imaginarias. Oui-
  39. bus radicibus si addatur F = (quoniam ad collendum secundum
  40. terminum primae requacionis poluimus X ∞ Z L 7 =I habebitue
  41. ∞∞ V 7 -+ 4, vel ∞ ∞ V 7 = 2. Id quod monstrac lineam D s
  42. Sumendam esse aequalem V 7 = F, de lineam D TI ∞ V 7 L . EX
  43. quibus constat, quod, poltquam aequatio inVeNEA X + - 6v
  44. L 2 N X = 5 4 X = 81 ∞0 nullam agnO(CaE radicem Fallam,
  45. (quan

Cite

[Ps. 1], fol. 314. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0336?run=74