Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 409

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: 0.78.

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

The machine reads it as

  1. le
  2. CudtM
  3. em
  4. dimentie
  5. omne
  6. Lu qu
  7. 2uC
  8. TEN
  9. a
  10. u c
  11. es lIIc
  12. retiime
  13. DE REDHCTLOHE AE OLATIONUM. 409
  14. Exemplum, ubi ultimus Terminus non evanescit.
  15. SiC in aquatione X3 =3 a X x = 2 bb x = a3 ∞0, S(upPO-
  16. +3 ab - b3
  17. Aa - a a b
  18. + bb a
  19. naTUIF a ∞ 0, retultabie, inde x3 -=B X x L 2 bb x - b3 ∞0. Ouia
  20. autem haec aequatio reducibilisnon est, certum estneque PFODO-
  21. Titam reducibilem fore.
  22. Exemplum, ubi ultimus Terminus evane scit.
  23. Siimxquatione xs - abx t + 0C3 X3 F a3bXX - == aaC3 X f 1265d ∞0
  24. 3aA + C6B
  25. bba
  26. abccd = abbc3
  27. L54 ab3
  28. suxponantur d d a ∞00, reluleat inde x 3 +503∞0. Ouia vero
  29. hac aequatio erium dimensionum reduci nequit, arxumentum est
  30. heque Propolicam ad pauciores dimensiones quam ad tres, redu-
  31. cibilemFore.
  32. Sic etiam supponendo d ec b ∞ 0, vel tantumc ∞ 0, orientur
  33. bae dux aquatiOneS
  34. X5 = 3 A A X 3 = 63X X = = 2 Aa63 ∞ O.
  35. _5 = ab X 3 = bb aXX F a3 b x + a ab3 ∞0.
  36. 3Aa
  37. DHx SI rEdUCINON POTCRUnE, denOtabUNE Propoltam aquatio-
  38. nem, ad pauciores dimensiones quam ad 5, reducinon poste.
  39. Dico, illam non ad pauciores dimensiones reducibilem fore, quippe
  40. aliquando continsere potest, ut Propolita ae quatio ad cundem di-
  41. mensionum numerum sic reducibilis. quemadmodum continsit
  42. In hac X + = = a X3 L + AA X X L = b3X =- + a b 3∞0, Supponendo
  43. A ∞ O: exlurgic enim x3. F 2 b3 ∞00, quae non pocestreduci, et
  44. tamen ae quatio Propolita eA reducibilis per X - 2 a ∞0.
  45. I. R F G V E A.
  46. Si in aequatione licerali pro una, vel pluribus, vel
  47. Omnibasse laluratibus cogniris, supponan-
  48. fF
  49. EUE

Cite

[Ps. 1], fol. 409. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0431?run=74