Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 457

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.

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

The machine reads it as

  1. vol
  2. DE REDRCFEOHE AE QUATIONRM. 457
  3. coonitam quantitarem habences, quaerendoque per
  4. carum communem dirilorem valores iplius y vel Z.
  5. eodem modo quo in Parte q dictum eAt.
  6. 2. Si primo per capitales A, B exam en AaC, eum ex2-
  7. men per reliquas e et E superAuum habendum est, sect
  8. nOM ViCCVeESA.
  9. Exempli gratia, proponatur haec aequatio
  10. ∞6- L X5, - 4 X =- 8 ∞ 3 - 5 X X L TEX L 6∞0.
  11. Ouoniam nulli cermini delune. Reductio eric centanda per
  12. A, B, C, E; incipiendoque a minusculis, ac primum ab c, habe-
  13. bItuT Z∞ 9∞ 4, e W ∞ = ∞ 5, adeoque pIO ∞ 3. y X X Z X
  14. I W ∞ O, Het ~3 X f + x - f 5 ∞0. Cum vero Propolica xe qua-
  15. tio ver hanc diridi nequeat, transeo ad F, obtineoque y ∞ P ∞ L;
  16. W ∞ = ∞ +; Z ∞ O; de In lOCuM X3 L y X X L Z X -F w ∞0 obti-
  17. neOx3 LLNx F = ∞ 0. Eccum Propolita per hanc quoquenon
  18. dirisibilis existat, eran seo ad A, et P1O 2Z3 - 3922 rpZ 59∞0
  19. +PP + 25 L tP
  20. +99
  21. Obtineo 223 - 22ZZ- F 182=9 ∞ 0, cujus radices (unE. L 3.
  22. F, d- 12. Ouia aurem omnes hae radices sunt rationales.
  23. ac aouatio Propolita Fractis numeris carer, non poterit nobis
  24. haec ulcima radix inserrire. UInde explorandum tantum reltat per
  25. Z ∞ 3, ee Z ∞ I. Sumendo autem Z ∞ r, reperitur divitionem tic-
  26. rinon posse, ac idcirco sI (UMaEUEZ ∞ 3, Fet W ∞ S + 2 2- 42 ∞2
  27. Ouoniam vero y est ∞ O, Pro ~3- L yXX -L Z X - L v ∞0 obci-
  28. nebitur x3 X- 3x- f 2 ∞0, per qua si diri (Io PropOlItae ten
  29. cetur, comperietur ipsam tieri polle, acque oriri x 3 L LX X-
  30. TX f 3 ∞0. Sed locorma aequationis juxta A lumere poruisse-
  31. inus 2dam, una dimentione deprectiorem, pro qua obtinuissemus
  32. 23ZZ 60Z 6330. Oux unam tantum radicem racio
  33. nalem absolutam admictie, qua, uc supra, clt . 3.
  34. Eenocandum, quod, inventis duabus aequationibus, (quae Pem-
  35. per, Si per communem dirilorem Ouxlitum obtinere velimus,
  36. inveniri debent;) quaeri pocelt radix alteruerius aequationis, sI
  37. nempe ea Facitis sic inrentu, atque explorari, num ex altera ae qua-
  38. Mmm

Cite

[Ps. 1], fol. 457. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0479?run=74