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[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 28

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: 0.87.

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The machine reads it as

  1. 28
  2. nalusis Infinitorum.
  3. LAP. l
  4. OuAECRC CKS, 7, 3 yy = 2 y X F k = X N: 3NX +
  5. 2y x + l=gy.. r: y. Ondereducta xquatione ob
  6. tinebitur aequatio ad TaNGCNECM: 3y L 2 y y X
  7. ky X∞ y F 3X X t + 2 y Xt Fl+ = y9+
  8. Tlinc X in aequatione 5. 7, Femanenti prO a
  9. iptum, pro e ipsum s reponendum ese con-
  10. stat; simulque Fruditissimi Barovii methodus in
  11. aperio polica est.
  12. 9. Nlotarirelim, omnes currarum aequatio
  13. nes duplici terminorum senere componi; quon
  14. rum primum (seclusis ab hac consideratione
  15. guantitatibus l, k, 5, gux pro cogniristraben-
  16. cur) vel Colis x aut y, carumque porestatibus
  17. constat: ucy, ky, x, l x. quos terminos in PO-
  18. lerum simplices nominabimus: Alterum aurem
  19. terminorum genus ex ipsis, x iny ductis conAa-
  20. cum est, UCy X X, yy X. eCHOSPTOPtETCA mix-
  21. F0s aICCIIS.
  22. 10. Tum ex obserrare licet, ex singulis a-
  23. quationis Curra terminis simplicibus, Tingulos
  24. tantum huic Cerrientes aequationi terminos oriri.
  25. Cum enim poteltates iplarum y ec x, PerTa.
  26. dices, y = a EC x = e, IuXIa S. 5. exprimenda vc-
  27. niane, Polita iplarum y aur x porettare maxi-
  28. ma, (uc in xquationibus vulso ordinandis fieri
  29. (Olet) Proprimo potestatis termino, Colus se-
  30. cundus remanebic; primo siquidem per 5. 6,
  31. C

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[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 28. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0050?run=74