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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. 162

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: 0.87.

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

The machine reads it as

  1. 262 Analysis Insinitorum.
  2. C AP. II.
  3. exiF (CUM CIE S = Z, d yy = pr - ff)
  4. f=
  5. Y55 + ZZ aequatio curve A N R relationem ad
  6. axem D P manifestans, huic autem curvilinco
  7. AD P N Per Praecedenscorollarium, aequale
  8. fuit inventum trilineum hyperbolicum; quae
  9. ut hinc calui approprientur, crat H
  10. rrs 2
  11. VrrLgy It
  12. CorolI. pexmisso, hic vero f = Y 55+ZZ. RaL CrZO
  13. terminorum comparatio, et collatis denomina-
  14. toribus exit s=r ec Z = y, ex numeratoribus
  15. autem emergit:
  16. quare loco aqua-
  17. tionis hyperbolica rr L yy = 9 X X, AI lOCO X
  18. sumatur k, orietur hoc in calutraec, quae sequi-
  19. tT, ((+ZZ = er kk, hyperbolam spectans.
  20. cujus latus transversum = 2r. rectum-
  21. ad cujus constructionem, quadrilineo AD P N
  22. circa DP seroluto in SDPT, latere recto
  23. X transverlo A5 seu 2r, describatur hy-
  24. perbola modo inventa sF, secans productam
  25. NP in F, erit ducta recta D F, mixtilineum
  26. AD N

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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. 162. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0184?run=74