Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 410

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: 0.85.

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The machine reads it as

  1. 420. IOH AN NLS TIUDDEHEL EPTSF: L
  2. cur numeri, vel alia quancitates ad libitum, atque eo
  3. altimus Terminus non evaneseat, neque aequatio, (IVCnu.
  4. meralis, sre liceralis, quae hinc resultat, reducibilis (II,
  5. certum est, neque Propolitam aequationem reducibi.
  6. lem Forc; l vero ultimus Terminus evanescat, acque ctiam
  7. inde Relultans aequatio non existat reducibilis, aequa
  8. tio Propolica 2d pauciores dimentiones, quam ilta Re.
  9. sulcans, reducinon poterit.
  10. Excempla, ubi ulrimus Terminus non evanescit.
  11. c. Si in hac aequatione x 3 = a X X L 3 b b X = 3 a 3 ∞ 0 sup.
  12. +3 a b - 3b3
  13. L+ aa = a ab
  14. L abb
  15. DONaEuE a ∞ F, d b ∞ Z, relultabie inde aequatio numeralis
  16. ∞3 --3X X x -3 ∞ 0. Oux, quoniam non est reducibilis, in.
  17. dicabit, neque Propolicam aequationem reducibilem esse.
  18. 2. Sic etiam, (i habeamus hAHC X SXXX F + aabb ∞ - 10 a + b∞0,
  19. atque supponamuS + a ab b ∞
  20. a3 bC
  21. 3a3bB
  22. 6 == b3 a
  23. a=6, seu b ∞ = a, exlurget inde
  24. X5 X X X X = 277 45∞ 0. Ouia vero haec aequatio reducinon
  25. potest, certum est, neque Propolitam reducibilem fore.
  26. 3. Non secus, (i im XquationC X5XX =- 3 43 XX L = Ca3 X-2 a Cd ∞0
  27. = =aaC + aCCd
  28. TUDPONAEUE -- 34 3 = 2 a 46 ∞ 0, PeUC ∞ = + 4; 2C +Ca3 F aC6d ∞0,
  29. + a a
  30. Seud ∞ -
  31. het inde xSX X X X + 8 a 5 ∞0. Ouoniam rero
  32. haec xequatio non reducibilis exictic, certum est, e5c.
  33. 4. Fodem modo se res hrabet in aequationibus, ubi quantitares
  34. Trrationales reperiuntur: nam, exempli graria, (i decurhaecae.
  35. quatio x5X X F ∞ x V = a a F bb, X. 1 a3b V C. 543 + , abb ∞0,
  36. Lupponendo : a a -+ b b ∞ 0, seu bb ∞ - a a, relultabiE
  37. a 5 X X X X + a 3 b V C, 25 a ∞ 0. qua, quoniam reduci non
  38. Porest, certum est, 85c.
  39. LNeM.

Cite

[Ps. 1], fol. 410. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0432?run=74