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LBr. 396 · Hermann, fol. 12v

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: 0.83.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 13r); this page is its left half.

The machine reads it as

  1. Jua invitatione pristinam speculationem resumam, quam sane atilisrima
  2. esse nemo Analystarum negare poterit. Nam invento modo quo in data
  3. aliqua serie radices ab invice dircriminari possint, multum huud elutie-
  4. luminis affulgebit simile quid praestandi in seriebus transcendentes quantitatus
  5. exprimentibus; verum haec disquititio magnis diffiultatibus urgeri videtur
  6. et quanquam aliquatenus assognari possit, quandonam seriet radices ma-
  7. ginarias aut impossibiles involvet, spponendo imaginarium dare serieu
  8. advergentem sed potius in infonitam excurrentem, hoc est cu jus ter-
  9. mini sdant tandem quavis data majores. Si verto gr. detur haec series
  10. 49
  11. 29
  12. X = -2 + LL +
  13. 19
  14. + 59
  15. P5
  16. non
  17. 14g
  18. 9
  19. 420
  20. B1C
  21. im
  22. 132G
  23. B13
  24. + ec.
  25. Ubi si q = pp, seriet fdet advergens, ad eoque involvet radices possibiles, sed so
  26. P= = Vq apparebit eam fi eri advergenten atque adeo radicet ce reales
  27. 2
  28. Sed has radices in soriebus mayir implicitis finitis exprimere valoribus
  29. maxima difficultas est: non nunquam facile succedit, ut in hoc exelo
  30. ubi observo hanc scriem multiplicatam per p pro ducere quantitatem
  31. qua litera aut valore q quadratum seriei excedet, adeoquehi à serie
  32. dematur =p et retiduum X - = p
  33. quadretur, siet BX - p = 4 p- q adeoque X - 2 p
  34. quod indicat, suneviorem seriem radices designare aequationis quadratica
  35. XX - pX 1 9=0
  36. Verum Pudices simititer ex Seriebus

Cite

LBr. 396 · Hermann, fol. 12v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 308). https://leibnizlegible.com/page/DE-611-HS-973581:0024?run=308