Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 479

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: 0.84.

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

The machine reads it as

  1. qui lolitu
  2. 29
  3. D0
  4. DE REDRCTEORE A OUATLONUIN. 479
  5. Similiter examinaturi hanc aequationem
  6. X 6 6X 5- 25X + 36X 3f. 3 X X 16X 28 ∞O,
  7. in qua p Cst ∞ - 6, 9∞ 25, r∞ = 36, (∞3, FD 16, V∞ -- 28,
  8. ec b∞ F 2vel T, auc L 2 Vel - 2, auF- L 4 velur 4, (negle-
  9. etis scilicet religuis diriloribus, radicem quadratam ultimi termi-
  10. mi excedentibus:) inreniemus, Faciendo, ut ante, periculum cum
  11. unoquoque ralore iptius h, Si pro halsumitur - 2, aequationem
  12. hanC Y3- L5 yy + 1657 + 35∞0, in qua y admictit tantum-
  13. modo unum ralorem rationalem, qui integer numerus estnem-
  14. pe = 3. Per hunc aurem quaero ralorem iplius Z. Sed cum hic
  15. 2y (ic ∞P, ec y3- pyy + 4y + = = B = Y ∞ O, nOn pONTUMI euN-
  16. dem per hanc aequationem Z ∞
  17. =pyy + 97. +
  18. renire, quo circa illum quaro per hanc Z ∞
  19. invenio Z∞3, e
  20. 2y -
  21. L B - Y
  22. F hyy = 9B
  23. 1II-
  24. atque
  25. ∞ 3. = yX X F Z~ - B ∞ X 3 = 3X X f- 3 ~ -- 2 ∞0.
  26. Per quam ipitur examinando an Propolita diridi queac, compe-
  27. rietur divisionem tieri posse, orieturque pro quotiente x3 =3 ~ X
  28. f F3∞ + 14∞0. Si rero in hoc ulcimo exemplo, ubi 2y est ∞P,
  29. non tuissety3- pyy + 9y + 7 L B - r ∞O, OpOrruisCE EraNLILE
  30. ad alium ralorem ipsius b.
  31. Ubinotandum per has Regulas pro aequationibus 4, 5, _ 6 di-
  32. mensionum non solum sciri posse, an Propolita aliqua aequatio per
  33. aliam rationalem, in qua omnes Termini excane, divilibilis TIE;
  34. Sed etiam uerum ipla dirisibilis sic per rationalem, in qua aliquis
  35. Terminus deficiar. Verum cum idem Facilius coonolci queat per
  36. XI Regulam, hanc iis duncaxat aequationibus, in quibus nulli
  37. cermini deticiume, applicare rolui.
  38. 2. Ouoniam aurem ulus harum Regularum vel comajor est,
  39. quo pauciores dirilores ultimus Terminus Propolieae aequationis
  40. admitcit, haud inconsultum tueric hic adjungere modum, quo
  41. plerum que leri nesorio Propolicam aequationem in aliam eran-
  42. mutare licet, in qua ultimus Terminus pauciores habeat dimen-
  43. siones, quae que indirisibilis sic (i Propolica sic indirisibilis, ac di-
  44. viss

Cite

[Ps. 1], fol. 479. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0501?run=74