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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. 122

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: 0.84.

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The machine reads it as

  1. E 2 2
  2. Analysis Infinitorum.
  3. CAP. II.
  4. currae urriulque aeguationem reperta; hoc ett,
  5. in parabolar k= rcn; in hyperbolabk cxc-
  6. exprimencur omnia yke in parabola per c: +n
  7. C + -
  8. F + n
  9. inr e=n; 2t in hyperbola per, - n in bkCn.
  10. Onderideturnasci lemma a Clar: MLercatOrO
  11. PCOD. XVI. Logarichmorechn: sux demonstra-
  12. tum: cuique soli exercirarionem suam super-
  13. steuxir ingeniosi: D: Grecorius. cum enim
  14. Sine omnia yke = omni rk- - n gn e in pacabola.
  15. et in hyperboli bhonx =ne: manifectum est
  16. (rejectis utrinque quancientibus dererminacis.
  17. uepore nullam murationem inferentibus) Fore
  18. perpetuo omnia x +
  19. C
  20. C1 L n
  21. +n i Facta scilicee
  22. axima x = F. ex quo sequitur hioc generale.
  23. Coroll. YIIL. Si linea recta, AO: c, in DartCS
  24. inpumerabiles seu infinicesiras e diridatur, erit
  25. Cumma quarumvis dignicarum ab immumeris rec.
  26. eisu A: X, ab extremitaro A propolice rectae con-
  27. cinuo incipiencibus genitarum (quarumque sin-
  28. sula in insimicelimam propriam ON: e, ip(2-
  29. rum terminos respectiros claudentem mulcipli
  30. n
  31. SIEX LUNE) scuomniumx c, equalia recta
  32. expOSICX, A Oi5, seu maxima e porestari a(-
  33. sumtis pocelcaribus iplarum x proxime luperiori,
  34. DC BIVILA PEK LHUMI ExDOHENEE:
  35. Fn
  36. t n
  37. eatio
  38. CK

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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. 122. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0144?run=74