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Leibniz-Handschriften zur Mathematik LH 35, 3 A 18, fol. 16v

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: 0.90.

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. 17r); this page is its left half.

The machine reads it as

  1. habebitur alia aequatio, quantaecunque altitu–
  2. dinis, quae ordinata secundum X, dividatur
  3. per aequationem surdesolidam datam
  4. X +qX + rx + d
  5. SX + l x + v aeq. 0.
  6. dn
  7. 1+ D1X +X + 6x +. d
  8. ad hoc faciendum aequale nihilum omnes
  9. quatuo quinque coefficientes seu cognitae
  10. ter minovum quantitetes ponantur aeq o.
  11. D) aeq. 0.
  12. et
  13. nempe O aeg. 0
  14. Demonstrari etiam potest quatuor literas
  15. valores.
  16. l. M. n. p. esse rndices alicuius aequationis
  17. et Imnx
  18. sint quartutates rationales.
  19. Hoc ita inveniri
  20. aequationis pro una inventae radices plures.
  21. aequation quod biquad ratica habeat
  22. simlm
  23. um
  24. quadento quade biquadraticae quia scilicet
  25. eodem modo se habent in calculo, ergo qui
  26. unam invenit, invenit omnes, tanquam
  27. ed unum demonstrandum superest, quod
  28. coefficientes rationales, seu quod
  29. um
  30. mn
  31. qua eaque ratione inveniri poterunt quinque
  32. litcrarum arbitrariarum n. l. m. n. p.
  33. et residuum divisionis erit quinque membiorum
  34. nempe. (. d

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 18, fol. 16v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068231:0032?run=74