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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. 249

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: 0.84.

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

The machine reads it as

  1. C AP. V.
  2. Y X
  3. exit r = 27:
  4. Cmerget +=
  5. analysis Infinitorum.
  6. 2 Y ∞ = 2 X X
  7. 24
  8. Y = 2 X .. 8: 5:: ∞: F:: f: y; undc
  9. 2Y X 2 X X 2 + f = 2 x
  10. ee
  11. aut, loco f lurrosato ipsius modo invento va-
  12. Lore, cub. r = X in 4 X = pr y y.
  13. Tandem, cum sit T A + A 9 = QF, CCV
  14. X =n = F, erit, ralore ipsiuS t rePOStO,
  15. YX = 2 X X = r p, Quarc per inrentas duas halce
  16. aequationeS r X - 2 X X = rn C cub. r X in
  17. 4X = rrgy ejectox, emerset (Talvo calcu10) X
  18. quatio lequens n + 2rn. - 8 rY n n + 2 yy n n
  19. =6ryy n + y 4 = O. OMX CUEVE ADF rela
  20. tionem ad axem 1 seu n, mediance 4p.
  21. plicata 9D Icu y, exprimie.
  22. Hinc jam quomodo tansens BF inveniatur
  23. plus quam cognitum est: uE de hanc CurVaM
  24. AD F Xquari tangenti BF -
  25. genti BF = omnia .
  26. + X
  27. Or, Ccutan.
  28. Ouo pacto vero in aliis currarum ADF d
  29. ALN positionibus res hxec tractanda SF, hOC Pet-
  30. cepto quilibet intelliget.
  31. Coroll. T. qu’a ergoratione ex quoris curvi-
  32. linco quadrabili curra inveniri quear, cui recta
  33. aqualis extriberi porest, ex corollario praesreso
  34. Patet, Scd ex 5. 28. Cap. II. aliisque, ex quavis
  35. cuera scometric a innumera currilinea quadratu.
  36. raIS

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 249. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0271?run=74