Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 458

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: 0.89.

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

The machine reads it as

  1. 458
  2. IOT A N N ES TIADDENTE F PFSF. I.
  3. tio dictam radicem admicrat: Ouo Caepe non nihil laboris ab.
  4. Pcindi porest.
  5. Priulquam huic Z IRegulae finem imponam, adjungam, quod
  6. eodem modo, quo hae Resula inrenex lunt, de reliquae altiorum
  7. aequationum inreniri possine; uei ee mulex, ne dicam infinitxe alix
  8. ad a quationes 6, e pauciorum dimensionum, quarum aliguot ex
  9. Facilioribus indicare rolui, praetermietens nonnullas, non quidem
  10. admodum difficiles, sed qua decerminationem aliquam involve.
  11. banE. CTEin rma PartC, ubi aequationi x, P x5, 9∞ +, X (X N, F N, V ∞0,
  12. locodiriloris x. f =P 8 V + PP =4∞0, adjunsere pocuissem di-
  13. - 9s ∞ 0: quem, cum determinationem invol-
  14. vilOremx
  15. vat, (siquideni x - L 3 ∞00, dirilor ae quationis x- f 5 X5- (6 v+
  16. = 5X X -F. 25 X - 30 ∞0, per illum invenirinequie:) omit
  17. cendum duxi, praeterendo ei alterum xf = P 8 V E PP - 4 ∞0,
  18. qui determinationi nulli obnoxius est.
  19. Denique, ulus hujus XI Regulae se longe lateque extendit,
  20. quodnemo tacile nesarerie, quimodo riderit, non necesse esse,
  21. vel fractiones, rel cognitas quantitates surdas prius ex aequatione
  22. tolli; e quot modis una eadem que aequatio, praelertim ralde
  23. compolica, d multarum dimensionum, ex mulciplicatione dua-
  24. rum aliarum produci queat; cum que inter omnes illas ex quibus
  25. produci possie, cantum unam requiri, in qua unus plurétre termini
  26. deficiane, uc Reductio per has Regulas inreniatur.
  27. SEOVENTES T2, T3, 24, 15 REOVL A SE BX.
  28. TEN D V NY AD AOY ATIONES, IN OVTBYS
  29. N EC SFCN A R A DFC A L Z A, N E C LLTE R ALFS
  30. FR A CTLONES LN V ENLV N FV R.
  31. II RF CV F A.
  32. Si in aequatione Propolita reperiatur litera cognita,
  33. quae in ultimo Termino non contineatur; ( illa non nili le-
  34. mel in aequatione extet, rel semel tantum reperiatur
  35. secundum eundem dimentionum numerum, (uc in A-
  36. quatione x + - 2 a ∞ 3- = a a X X -- 2 ab b X a a bb ∞0,
  37. + bb
  38. + 4a0
  39. 2a66

Cite

[Ps. 1], fol. 458. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0480?run=74