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Leibniz-Handschriften zur Mathematik LH 35, 3 A 18, fol. 3r

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: 0.94.

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

The machine reads it as

  1. inquirendum est an posito
  2. X aequ + Y m +
  3. In + S + n sp
  4. componendo ex radice secundi et terti gradus,
  5. et data aequatione X X aX + bx + CX + dX + C ag.0
  6. prior
  7. possit cede irnationalis illa exaltata
  8. ad sextum gradum, ubi omnes omnis imalio
  9. nalitas tolli potest (nam non nisi sex, habet
  10. valores possibiles) comparari cum posterioni
  11. et utile erit posteriorem nempedatam trans
  12. formari prius in aliam, ut facilius desideratum
  13. olitineamus.
  14. proaequatione quinti gradus liceretnre
  15. scribere quid si X componamus ex radice
  16. tertii et ex radice quarti gradus. assurgeretur
  17. ad gradum
  18. mum
  19. l
  20. forent autem arbitrariae
  21. literae tot quot oefficientes prim tertii gradus
  22. scilicet tres, et quarti qualuor, facit 7. dement
  23. de his una, quia simul debent facere o
  24. quia ecundus terminus in data e est debent
  25. ecundus terminus certiae per 3 divisque, et opartae
  26. per a ervisus facere 0. ut scilicel mnlea
  27. irat rationalis sit in radice, quia secundus
  28. erminus in data aequatione deest. Habem
  29. ergo sex radicsarbitrarias. Data autem.
  30. mum
  31. attollenda erit ad 12 gradum etiam
  32. per sex arbitrarias habemus ergo 12
  33. arbitiarias tot quot sunt termini gradus.
  34. et fut succedere posset comparatio ubi compa
  35. ratio forte nos ducet ad stum gradum

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 18, fol. 3r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068231:0005?run=74