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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. 278

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: 0.90.

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The machine reads it as

  1. 278 Analysis Infinitorum.
  2. Cap. VIII.
  3. infinitesimae per vocales a _ e, XC. LITTerAS,
  4. compendii gratia, designentu, OrituE tangeN
  5. tium inrentioni inserriens Cl. Barovii metho.
  6. dus. Videatur C ap. I. 5. 3. Schol. II. _ 5. 43
  7. 536,738.
  8. 5. 4. Si vero exdem quantitares infinitesimae
  9. rocalium ex litterarum loco, per indetermina-
  10. tarum, quas respiciune, differentias (quae in-
  11. finitesimarum naturam nihilo secius retinent)
  12. exprimantur, deducitur hinc ecteberr. Leibnitit
  13. calculus, differentalis nomine vocatUS, Cujus
  14. specialem demonstrationem, cum inter praece
  15. dentia, Luperiorum ad inctar, expresenon at
  16. ringatue, hic adjunso. Sint quantitates inde-
  17. terminaca quotcunque, X, y, 2, f, carumq.
  18. infinirelimae respectira, en a, un 2, Quae juxta
  19. D. Leibnitii placita per indeterminatarum difse-
  20. rentias, Teu d x, dy, dZ, df, denOTCnEUT.
  21. I. Ouaritur iptus x L. y, seu quantitatum
  22. ad se mutuo additarum vel a se inricem Cb.
  23. Aractarum, differentiale:
  24. FiaE X F y = Z, quae requatio redacta ad in-
  25. finitelimas (politis nimirum x Fe lOcO X, y + a
  26. loco p, 2 F W loco2, (quod ec in sequentibus,
  27. semper obserratum relim) dabie, x +e f Y + a
  28. Z F w, ec deletis aequalibus, e F a = W; CCu
  29. celumtis (ymbolis Lcibnitianis d X = d y = d 2.
  30. Il. Quaeritur ipsius xy, seu indeterminata-
  31. FUI.

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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. 278. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0300?run=74