Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 368

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

The machine reads it as

  1. 368 APPENDER DE CUDTC. AEOUAZ. RESOTBY
  2. Diridamus jam hanc aequationem in duas, nempe - p7 2-
  3. 8X Xy - 3 X yy, _ 9∞ x3- 73. Ouarum prima divila per Z X p
  4. dat - p~ - 3X7, SCup D 3 Xy; _ FE _ ∞ =P. Unde, sin secunda
  5. in locum x subrogCtuF raIOTInVENEHS , Se in locum v hujuscu-
  6. bus 22P obtinebiturq V 2 - y3. Hoc est, mulciplicando u-
  7. erinque per p3, et ordinando aequationem, habebitur, ∞ -9y3
  8. F2 P. Cujus radix, juxta p28. 6, est y3 ∞ 9. V +99 + P
  9. Et fic y ∞ V C. - = 4 + V +99 F 27 P3. Adeoque x ∞ il
  10. YC. 4.
  11. itaque
  12. VC 29. Y
  13. 3
  14. DOlueramuS auteIM Z DX y. Frit
  15. 53 VC. - : 4 + V 99 f 1, p3
  16. Oui sane ralor eo Cardani limplicior censeri porest, liquidem ad
  17. hunc obtinendum radix cubica lemel tantum est extrahenda,
  18. Ouod sirero iplius Z ralor cum Cardano sic exhibendus, itd por-
  19. ro operari licebic. videlicet in aequatione jam dieta q ∞ x3 -- p3 in
  20. locum y. substiruendo ralorem inventum - 9 L V = 99. f p:
  21. habebicurque qu ∞3 F : g - V + 49 + 27 P3 (eu x3 ∞ +;9 +
  22. .99. F , B3. FFFIC~ ∞ V C. 1; 9. L V: 949 L , B3. IIinC Cum Z II
  23. ∞X y: eric Z∞V C. 1 ; g.) V. 99 +, P. VC. 2g + V: 99 + p.
  24. Flaud dissimili modo procedendum in aequatione Z3 3 X. L p2
  25. =9, ubi Zvalet V C. + : 4. 1 V =94 - 2, P. L
  26. C. =g- V =99 - , P3. POnendONeMPC Z ~ X y.
  27. Nocandum vero, in his Z aequalem supponix- L vel - y, non
  28. ducem pluribus incognitis quantitatibus, ex eo quod plures dus.
  29. bus diversis aquationibus instituinequeunt; uc de -pZ supponi
  30. D = 3X X Y- 3X y Y, Cx co quod tunc aequationem hanc diride
  31. relicerper Z D X= y, acque lic deinde iplarum x, y, et Z valores
  32. in simplicistimis terminis invenire. Idem quoque aliter tieri po.
  33. cest, ad modum pasina 296.
  34. Hlaec aurem de Cubicarum Aquationum Resolurione dicta sul.
  35. FICIaME.

Cite

[Ps. 1], fol. 368. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0390?run=74