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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. 47

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: 0.80.

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

The machine reads it as

  1. 10
  2. t
  3. et
  4. 1I
  5. C AD. I.
  6. Analysis Infinitorum.
  7. seu y quidem per infiniretimama; A SCU X
  8. per e; F SCUBDCEH; QXICUfDCEO; _DK
  9. lCu2 PeCI.
  10. Concipianturque ex supea inventis aequationi-
  11. bustotcurrae, quarum applicarae sint h, f, 2,
  12. descriptae esse ad axem Conchoidis AF, quorD
  13. onationum inibi repertarum multitudo requirie,
  14. quas tamen curras ex instituto omisimus, ut
  15. Pateat hanc quidem methodum currarum ista-
  16. rum descriptionem pro demonstratione sui 28.
  17. noscere, in ipta aurem problemaris solutione
  18. cas absolure necesarias non esse) ac redigantur
  19. ae guationes ad infinitelimas:
  20. CrIFCXT, r = X - e = h + u; UndC 2s - e.
  21. CxII, 5 + Y - X - C = f +0. Unde 0 = c.
  22. exIMIrf+rO =BZ + hi +Z u unde ro = hi+ ZW.
  23. exIV. yy + 2a7 +ff + 2 f0= 22+ 2 21, unde
  24. Y a + f0 21.
  25. Jam, locon e oponendo = c, in TII. _IV.
  26. Fet 2
  27. -r e
  28. I 3
  29. QMarC a = 22e-r 2C + h50
  30. 1-fe
  31. CAenim ex curVd Z L. t: D. y:: DE. C:
  32. FIF. a, Undet =
  33. hyy
  34. 2- YZ =Bf.
  35. Noreturhinc consequi compendiolam illam
  36. constructionem a Cartesso lib. II. Geom: insinua-
  37. tam, est enim Conchoidi in D normalem recta
  38. in axc determinans =+33
  39. 52
  40. 12 +f.

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 47. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0069?run=74