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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. 33

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: 0.71.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. d
  2. ut
  3. A
  4. d
  5. ii
  6. a1
  7. ti0
  8. X
  9. i
  10. d
  11. C AP. I.
  12. Analysis infinitorum.
  13. 9D: Y, Aat AP: X + C, _ P F: y + 4, Candem
  14. redituram aequarionem, Facile animadvertet.
  15. 29. Cum autem termini limplices ad parabo.
  16. loides, mixti ad hyperboloides, commode re-
  17. Ferri posse rideantur; utriusque tansentem exem-
  18. Pliloco per inventum modo canonem definie-
  19. mus. Sicparaboloides; ejulre complementum
  20. y
  21. Cujus aquatio y P = rP QX Q; exIE + = grP=q X G F
  22. _
  23. u
  24. applicata Fractione ad currae equationem.
  25. Sithyperboloides cujus aequario y P X 4 = 5P r8,
  26. exic haec per 5. 17, Ordinata: yD x 2() yP X 4
  27. PYPX 1
  28. _ += - 9yPx 9-1 - Siguum auteti
  29. nesatirum hicinnuere, iplam+ ab altera parte
  30. iplius applicatae respectu x sumendam esse, cui-
  31. visnotum el.
  32. 20. Nec terminos tantum rarionales; inte
  33. Orosque deposcithac methodus, verum et Pele
  34. ad quosliber surdos fractosque extendit.
  35. Sic verb: sratia expolita cuerae aequatio,
  36. 3 4 3Y Y 3 + sC-
  37. X 4
  38. X + r. OpOrtet Ci
  39. Subtanisenteni designare.
  40. Onem in sinem, juxta L. Cmm. 50, _cC. hoc mo-
  41. o denotetur aeguatio.

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 33. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0055?run=74