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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. 722

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: 0.80.

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The machine reads it as

  1. 722
  2. Analusis Infinitorum. C AD. VII
  3. valorem ipsius y ad maximum aut minimum
  4. determ inare.
  5. ANumtiS, d, _ r, quarum utraque CON
  6. stantis quidem magnitudinis sed pro arbitrio su
  7. mendae supponitur, ac juxta calculi conditio.
  8. nem nunc negaciros, nunc aftirmatirosnume.
  9. merossignificare: ducatur aequatio primo in d.
  10. ac deinde in ar, Ceu simul et semet in dx1,
  11. numeror iplius x potestatem detionante; ob
  12. 5+r
  13. tinebitue dx
  14. 2 +r
  15. = b d X
  16. =dccyX + bbcc d X
  17. 4 +
  18. +
  19. dyyx
  20. +r
  21. + db ∞ = 0.
  22. in qua, si juxta praecedentem, singuli termini
  23. Continentes per numerum poteltarem ipsus X
  24. exponentem multiplicentur, emerget 5 fr a
  25. + r
  26. X
  27. +r
  28. 4= rb d de
  29. 2 + r
  30. no
  31. =r dy
  32. +
  33. +r
  34. dccyx 4, +r bbccdX +rd b X = 0,
  35. Pro aequatione ad extremum determinata; quae
  36. ideo per xr rursum dirila exhibebit:
  37. 5+ r d X
  38. = 4 = + b d X = q = r a
  39. dccyx + 1 +r dbbccx Frdb 0.
  40. Adeoque aequationem expositam qualibet
  41. prosrestione arichmetica juxta leges Fuddenia-
  42. ni theorematis, multiplicatum.
  43. Cdrod.

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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. 722. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0294?run=74