Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 273

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: 0.88.

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

The machine reads it as

  1. CAP. VII. Analysis Infinitorum.
  2. Coroll. Patet hinc T. quemlibet expositae
  3. aequationis terminum, Verb. OF. yy X, PeI
  4. erphtam pore multiplicari, adcoque ex aequa-
  5. tione ad extremum determinara tolli, sit enim
  6. 3
  7. r= O Crit r = - 3. tum II, quemlibee
  8. ex residuis. Verb. GF. bX, posse quolibet
  9. numero tum attirmatiro tum negaciro, ut 5,
  10. multiplicari, Caeteris ex eo determinationem
  11. accipientious; sicenim = q. -- , d = 5, Crit (POSi-
  12. t0 loco r invento valore = 3) ipla 5= - 7d,
  13. adcoque d= 7: quae quideni, ni FalIOE, Ca
  14. TunE, quae methodus suddeniana requirit.
  15. 5. 6: TTT. CacuS, Cum aquario plures, imo
  16. quotlibet, continet indeterminatas, quarum
  17. unica Y ad extremum determinanda est.
  18. Sic aequatio, yy f - by Z F ccb = O; OpOrtet
  19. iplius y ralorem extremum detinire. Ouamo-
  20. brCI Cx S, 2. ac retentis 5. 3. Symbolis, juxta
  21. Cap. L. 5. 35. reperiatur (consideratis scilicet
  22. indeterminaris, tanquam currarum ad cundem
  23. axem descripearum applicatis) ipsius xquatio
  24. lubransencialis: 2yyfnt + y yf+1 - by Ztn
  25. =by2 ln = O; _ pOLITa F InSIITa, AC CATETIS CX
  26. Schol. GeneraL N. XYT. Crane(centibuS, CILICE-
  27. set aequatio qua(Ita: y yf+l - by 2 t n = O, (Ci
  28. (t - bZ n = 0.
  29. Schol: F.t Haec quidem, cum nullae amplius SuPersUNE
  30. ~JH.t

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 273. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0295?run=74