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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. 171

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.

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The machine reads it as

  1. CAD. II. nalysis Infinitorum.
  2. respectira Ciroidali portione AR P, erit X
  3. quale bis SUMEO reCtangUIO PX 1O Teu AP
  4. in PF: est enim exnatura CiROidiS rZ = X Z
  5. = X y.
  6. Lum e alia ratione ex aequatione inventa
  7. 3d.
  8. f= 2 p totius Cirsoidis ad circulum ratio
  9. Cornolcitur; est enim rectansulum P K M,O
  10. p = rZ = X Z; Undc FactO X = r, Cu A d
  11. =AO, pertincbit ipla f ad intesram Cirtoi-
  12. dem, ac d ad tocum semicriculum, ec p era-
  13. det aequalis nihilos quarc 3 d - f = 0, ecf =
  14. 3 d, seu cirsois ad semicirculum ut 3 ad 1.
  15. Timilia hic porsene circa cirsoidem ex hyperbola
  16. senitam aliasque curras adjungi.
  17. 5. 45. Sic Conchois ABC FIK XFV vet
  18. tice A, normâ D e ac Polo M descripta:
  19. VOCeNtITg. AG: X, GB: Z, GD: f, G M: l,
  20. AD: Y, D MI: p, tum radio AD ducto circu
  21. li quadrante ADZ, appelletE HG: Y, Tan
  22. dem dicantur intinitelIa, 62: c, 4, 5: a 3
  23. N 3: 0.
  24. Notum est aequationem conchoidis propeie
  25. tatem exprimentem esse ly = f2, haec redacta
  26. ad terminos infinitesimales dabic f0 -2c=
  27. la =ye, quae, si ducatur in l, dC l0c0 ly
  28. Ponatur f2, exhibebic fl0 - l la = l Z e = fZ e:
  29. unde (cum (Ic I - f = P, AC ex HatuEd CONChOI
  30. dis l: Z:: f: y.) omnibus pei sdirilis fic
  31. 0

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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. 171. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0193?run=74