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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. 145

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: 0.89.

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

The machine reads it as

  1. C AP. II.
  2. Analrsis Insinitorum.
  3. AC littera, d, m, 5,l, f, k. n, p, quantitatum
  4. praepolitarum poteltatem delignent; itemt,
  5. verum haec binomii, lineola superinducta no-
  6. cati, dignitarem generalem signiticae; reli-
  7. quXe, Z, 8, g, c, h, b, Cunc lingulae ad locum quen-
  8. dam spatio menturabilem; qualia sunt rectangu-
  9. lum, triangulum, paraboloidea quaecunque,
  10. auc hyperbolitormin; qua hoc in exemplo
  11. tantum considerabimus.
  12. Dico, CiRaFf= 2, currilincum, cujus applica-
  13. tay, quadraturam admittere, consequentixe ratio
  14. ex S. II. cum annexis corollariis manifesta eAt.
  15. Lx: Cr: Factism = d, irem sec lnihilo xqua-
  16. libus, omnibusque. ad dignitarem pcrectis, 2C
  17. tandem in analogismum resolutis, Het bn: hi::
  18. a
  19. 2 : y. Inde positorurtum d = L, Cmer-
  20. set haecce, cum y suxposita sic unius dimen-
  21. lionis, inter porectatum exponentes aequatio
  22. +
  23. l
  24. =2, seu pF + k -- p =1 B:; denique
  25. uc a simplicissimis incipiamus, altumtis b = r,
  26. B= X 3 Z = Y, g = X, OTITUE PEOPOETIONOVA,
  27. quae, Facto += 2, in sequenrem abibitrC: xl:: r Y X
  28. YP, quae, sirno negatiro recento, est curvi-
  29. linei a Clar: Slassomenturati.
  30. Sic e pro varia rum quancitatum, tum expo-
  31. mencium assumtione rariae continuo ena lcuntur
  32. CHI-

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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. 145. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0167?run=74