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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. 268

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: 0.91.

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The machine reads it as

  1. 268
  2. Analysis Insinitorum.
  3. CAP. VII.
  4. Fx qua extremi e linearum, quae curras in respectiris
  5. punctiscanpune, proprierare sequens in maximi de mnimi
  6. decerminatione emerxie Fundamentalis canon.
  7. 5. I. Si curra cujusdam ACD F H Z sub.
  8. tangens BZ sic omni assisnabili maior aut in-
  9. finita; erunt applicatae BC _ TD (OuXe me.
  10. diante tansenti ZC ad subtansentem expo-
  11. sitam ZB relatira, seu per ips coincidentem
  12. currae intinitesimam DC, COnjUnGUNELIE) sibi
  13. mumuo requales, adeoque inter reliquas currX
  14. applicatas maximae aue minimae.
  15. Demonstratio (IE BZ: t, BC: y applicata,
  16. CR: C infinicesima, D R: a applicacarum incee-
  17. mentum aut decrementum; erit, juxta pro-
  18. prcetacem omnibus cueris communem, a
  19. S POSt vero + infinita = le m e e intini-
  20. celuna explicata per in crit a = km m, quod
  21. per lemm. 10. nihilo aequiralet.
  22. Ouare, cum hoc in casu differentia applica-
  23. carum nullasC, Coiplonec crescumenec decrel
  24. cunt. Sed sibi mutuo requantur, adeoque juxta
  25. modo praemissa maxima lunt, aut minima. 9. c. d.
  26. 5. 2. nde tandem manifectum eA; sI ex-
  27. policae aequationis indeterminata quaelibet ad
  28. maximum aut minimum determinando veniat,
  29. RGUATIONEM MaEC, TANGUA Ex CUIVX COnre.
  30. MenEiS

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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. 268. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0290?run=74