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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. 80

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: 0.83.

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The machine reads it as

  1. 80
  2. nalysis Infinitorum.
  3. C AP. L.
  4. quae cum alia aequatione FE= k y combinata,
  5. v
  6. dabit post debitam reductionem, t r- x ei hac
  7. cognita lacus rectum varabolX k
  8. r.7.
  9. 76. Onod si expetarur: Parabola parre cui con-
  10. cara circulUMI FANSCNS, FIC. X XI, N. 2, _
  11. ejus aequatio et n py; quae cum aequatione cir-
  12. culi redacta ad infinitelinaS Crit: 2 r e - 2 X e
  13. ke; Unde latuS FeCtuM k 2r = 2 X ejulque
  14. IntCFCCPTA Z 9 sen SubFArigerS quaTITA + = 2r 27
  15. 77. Manente AD F circulo, et suppoTid
  16. TDE extiyperbolis aliqua, sic hujus aequatio.
  17. EFF +khFhyY Cmerget exutriusque curvae
  18. requatione ad infinitesimas redacta, re =X e
  19. pa; tUM 2 eF C + khe=: 2 hya; unde 2 hr
  20. 2hX = 2 kF + khiqua aequatio cum tr, perbo-
  21. lx reguatione debite tractara dabit tnm= TUBS
  22. tangenrem, scu hyperbola interceoram; tuni
  23. hauc e alterum exhryperbola lareribus, altero
  24. ranente indeterminato. Onde paser circulum
  25. innumeris hyperbolis uno in Loco cansi posc.
  26. SedhXCCUHCIANE.
  27. Schol. Lsures quidem in praecedencibus intinicesimasad
  28. tribuimus; sed in singutis curris, non niti eas, quo
  29. 1c. Z XL1L, 10. 1 Ma DEHI conttiuun; cum
  30. aurem hisce non coerceatur haec methodus, sed et alix
  31. ac plures in calculum decuei queane, qua candem cum
  32. modo recentiris curvam spectane; nimirum ducta praerer
  33. aII.

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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. 80. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0102?run=74