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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. 181

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.

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

The machine reads it as

  1. C AD. II.
  2. Analysis Infinitorum.
  3. 18L
  4. reductaque requatione ad indeterminataS fe Z
  5. oritur Ls d 2l = s re f leu parabolitormis;
  6. unde spatium D M N Ccu omnia fa, IuXta
  7. S. IT. Cor. I, aquatuE k +5, eC OMMIa r =
  8. 2
  9. fr+ sr Omnia e seu longitudo aXis A F in
  10. FIG. XLIX. UbI FC = DS = Z, _ FF = C
  11. rocetur autem haec AF: h, scu omnia c. Orci
  12. TuTG. CUIrVE AD E aquatiO F, +. 5Y h, qua
  13. redacta per superiora ad indeterminatas h e 2,
  14. leu AF _C CF, dabit aequationem rurlus Pa-
  15. 5 + k
  16. 5 R + s
  17. FabOliFormem: L + 5 ∞ B = k d 2
  18. curram ACF respicientem; adeoque cHM
  19. maxima 2 SIE GH seur, X maxima h seu
  20. a
  21. L a Y
  22. AG AC X F s, erit rectansulum A9GFI = k + 53
  23. _c juxta 5. II. CoroIl. I. curvilineum AD HC
  24. e dr
  25. = k + 25: est autem hoc spatium spiralis spatii
  26. evolutum juxta praecedentem, ergo juxta 5. 50,
  27. hujus duplum, unde spatium spirale aquatuE
  28. kdr
  29. L. + 25, Uti in 5. 49. Coroll. I. malui autem iis-
  30. dem exemplis insictere, ut principiorum con-
  31. sentus dilucidins ob oculos ponatur.
  32. 5. 52. Idem ex alio modo problema solvi-
  33. cur; siquidem, F1Z. LP. 2Y: 73: : rn : 7 2. (C1
  34. 5. I.d

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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. 181. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0203?run=74