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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. 106

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. 106
  2. Analysis Infinitorum.
  3. CAP. I.
  4. Si vero idem quoriens per exponentis dicti dC
  5. uniaris summam mulciplicetur, Orictur
  6. C+F 2X +r
  7. in 2k, quod in lecundo catu requie
  8. Ficur, ubi Z mulciplicatur.
  9. Demonstrationem ex praemissis quilibet cruet
  10. camque proinde cum caereris hinc deducendis
  11. (R2 ef, 2d terminos quolrismixtos extendan-
  12. cur, ipsique signorum exponentesq e k, quam
  13. Pari posinE, rarietarem admittant) brevitatis er-
  14. Copexcerco. aequatio currae mox insinuata cH.
  15. 98. RCaNUMaTuE Fis. X P. TerVaTiIquCS. 36.
  16. Symbolis, ac 5. 37. hypochcs fZ = yy, invenitur
  17. aequario subrangentialis nt + kF = 2 en, undo
  18. +=
  19. ns
  20. X15Z
  21. (2
  22. 2tn 21+ 2n 21 Y 2n
  23. Coroll. I. Unde sequitur, duabus curvis ad
  24. eundem axem deleriptis, si correspondenrium ap.
  25. plicatarum rectangulum fZ per utriulque currx
  26. subransentem, nes l succestire dividatur, crit
  27. quoriencum summae lemissis aequalis Tubnor-
  28. malit, ad tertiam quandam curram pertinenti,
  29. cujus ordinatx quadratum y y aequivaler f2 seu
  30. exposico applicatarum in reliquis curvis rectan-
  31. 2
  32. (Z
  33. ButO; l 26 + 2n
  34. Coroll. IL. Hlinc etiam patet problema COr:
  35. S. Praecedent: infinitis modis lolvendi mertodus;
  36. polita enim 2 xquali cuidam quantitati irrario-
  37. nali.

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 106. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0128?run=74