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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. 78

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: 0.82.

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The machine reads it as

  1. 78
  2. Analysis Infinitorum.
  3. C AP. I.
  4. D. datum cA) invenietur parameter parabola
  5. g-
  6. 1
  7. P= x exnatura parabolx, unde X = 29
  8. 2. Quare ex cognita A Seux _ latere recto
  9. parabolae ca poterit deleribi.
  10. 73. ExPCTatuE jam AD F circulus, Cujus _
  11. quatio 2Y X = X X = yy, quae rectam T F in D
  12. contingat. ea reducta ad infinitesimas exie:
  13. remXe
  14. =a = p; unde circuli semidiameter r=
  15. 37 B X yy 4. X X
  16. 2X ex aequatione circuli; ex quio
  17. bustum x, tum r in quancitatibus cognitis da-
  18. buntur; uti nocum ost.
  19. 74. Ouod Cchyperbola dictam T F. tangens in
  20. D delideretur, cujus aequatio, rX x + r BX
  21. hyy, Posito latere ipsius FCCtO = r; tranSVer-
  22. (0= h; erie hac ad infinitesimas sedaeta,
  23. 2rx c + rhe
  24. 2by
  25. 2by7
  26. =
  27. ex aeguatione trianguli,
  28. y.
  29. unde r= ch F21X = XX F bX ex quibusr _ x in-
  30. notescent. Cum autem ad iplam h determinan-
  31. dam aequatio non suppetat, ca mancbithoc in
  32. casunon omnino limitata.
  33. Onde, licet liyperbola AD F in puncto (ui D
  34. unicam tantum admittat tangentem rectam;
  35. econtrario recta data Y F. in puncto sui D innu-
  36. meras haber hyperbolas tangentes, prour haec
  37. AVE

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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. 78. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0100?run=74