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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. 157

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: 0.89.

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The machine reads it as

  1. 2
  2. C AP. II. Analysis Infinitorum.
  3. 32. Repetitis FIZ. XXIL. ac C ap. I. 5. 78
  4. Ermbolis; in axe A e producto alsumatur pun-
  5. ctum aliquod fixum W, unde ad prolonsatas
  6. FaNSenteS F B 3, F 25, ducantur perpendicu-
  7. lares N 3, N5, appellatique AW: Y, W5: k,
  8. CFIE W Z = p + x = +; tum ec 4, 5, crie infinite
  9. lima quX VocetUE: u unde N 3 = k - 1 = W 4,
  10. juxta lemma 36; _c ex hypoch. angulus F, 3, W.
  11. elt rectus, quare triangula W 3B, _C EPB
  12. une limilia, idcog. r + x - F - 1: k = p: : 5 = H
  13. + 2: Y + a, Under a= X a Y a- 7i = kW = 5 pu + k a,
  14. quibus rectangulis, tanguam currilineorum in-
  15. dicibus, infinities cumtis, juxta infinitesimarum
  16. imultitudinem; hinc _ inde naCcetur xe qualis
  17. currilincorum summa; nec schemaca nec de
  18. monstrationem addo, cum mox praegressa intel-
  19. ligenti haec obscura eenequeant. Hoc adjunso,
  20. puncta 3 ex 5, esse ad novam hinc generatam
  21. curram 6, 3, 5, 7: Cujus relatio ad axem W A, S1
  22. opuslic, exhiberi porest, mediante normali in
  23. eundem demissa; rectula 3, 4, est infinitesima,
  24. _c triansula W, 3, 4, dC E A- 5, lune similia, unde
  25. alia denuo propultulant.
  26. Sic resumtis Cap. I. 5. 7Or, ob magnam illic
  27. indeterminatarum, infinitesimarumque copia,
  28. nulla Fere ibi loci reperitur aequatio, qua vario-
  29. rum currilineorum multitariam aequalitatem
  30. aliaque srmtomata non inferat: rerum haec sut-
  31. Ficiant.
  32. 33. O10

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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. 157. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0179?run=74