Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 453

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: 0.76.

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

The machine reads it as

  1. d
  2. 500
  3. DF RE DRCTLONE A ORATLOHUM. 453
  4. ∞p ∞ 2 diridendum eAt per X x L y X F Z ∞ O ∞ X K L 2 X -
  5. DO, invenietur que pro quotiente x+ F F 2 X X F 3 ∞ F 1∞O. FF
  6. manifectum elt, nos etiam alcerutra tantum duarum illarum e-
  7. quationum uri poruisse. Facilior itaque ria eligenda erie: non
  8. enim Cemperilla per communem dirisorem brerior est, neque
  9. Scriper longior; rerum hanc haBCE PFarOgatIVAI, quX PanC NON
  10. parra est, quod inuriles radices abscindat. Ouemadmodum se-
  11. quenti exemplo clarius patebit.
  12. FHOxquatio PFOPOLIEA X = -2 X +- F 343-3X N - 5X- 1∞O.
  13. Ouoniami hic p est v o, reductiorentonda erie per B, D, 5.
  14. Incixiendo d B, invenietur pio + md y 3 - p yy- + q y = r ∞0.
  15. LB
  16. AxeC Xquatio y 3- = y7 - 27-3∞0; d PrO 2dà yy-
  17. )
  18. 0
  19. - 030O,
  20. haec yy . = 2307 - 305 ∞ 0: est enim in hoc exemplog~ - 2.
  21. 3∞3, (∞ = 3, t 30 -- 5, _ v ∞ = I. IInde, quaerendo carum
  22. communem dirilorem, comperietur nullum dari, ac proinde
  23. dirisionem per B tieri non posse. Hlinc eranseo ad D, ubi Dro
  24. ma aequatione qu3X. f s y -- + ∞ O invenio - 29 3X 1 1y - 1∞O,
  25. +94 + Y9
  26. e PrO 2dd sy + - + y3 + 295yy - +9y- + 99(∞0 invenio
  27. )
  28. 3 yt = Y 93 - = +2 7y - 207 - 24 3 O. OUarUI a quatiO-
  29. numdirisor communis est y- f 5 00; 2d coque Z ∞ y y - F 93 -- 1:
  30. ita ut dirilio sic Facienda per X X L Y ∞ -f Z ∞O ∞ X ∞ -- ZX -- 1,
  31. exitque quotiensx+. L L ∞ 3 X f + X F + 50O.
  32. Eibi nocandum, modum hunc quaerendi communem dirilo-
  33. rem in altioribus praesertim aequationibus permagni esse ulus.
  34. non autem eantiulus, cum aequariones, quarum dirilor commu-
  35. nis inrestisandus eAt, Tolummodo Tunt 2 dimentionum, aut e-
  36. jam erium, quoniam cum dirisores taciles sunt inventu. CE in
  37. 3
  38. _qua.

Cite

[Ps. 1], fol. 453. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0475?run=74