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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. 174

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. +74
  2. Analysis Infinitorum.
  3. C AP. TI.
  4. 70 = r y = n, exit g = n = d = 2 c - p, JuXta
  5. 5. 46, adcoquC, 9= 2C - p + v.
  6. Ec aequationem ad intesra curvilinca exten
  7. dendo, crit x = 2r, ec hinc tum p tum n ni-
  8. hilo aequalia; unde tandem: g = 2c, leu inte-
  9. orum hoc currilincum est semicirculi duplums
  10. quod 5. 16. Coroll. TTF. tum X 5. 25, alio pacto
  11. pertangentes erictum est.
  12. 5. 49. Ouomodo vero haec ominia in 5. 10.
  13. modum curris ad punctum relatis applicari
  14. queant, levi opera explicabo; cum enim sit Fio.
  15. ZLVI. ContinuO ZD: 5, DO, J:: DF, W: F. II: a-
  16. erit emper sa = y u: unde radiis, DO X F 9 duc-
  17. tis arcubuS DF, FG, erit IG = as potitaque
  18. TD seus, in YM, Crit FiguTa O F K ICuOM
  19. nia sa aequalis Figurx quno seu omnibus
  20. yu, Fig. XLVII. in qua Fis. 948 recta g0 sup-
  21. Polita cA aequalis curva expOlITa ODE F, ita
  22. UE D I: TIL aequalis se seu u, ac applicatae du,
  23. an, CUInE _equaleS rECtIS DC, F. ICu V.
  24. Duoniam vero tor continentur in recta O F
  25. infinitesima ut YO = HI F scu a, quot in C ur-
  26. va ODF. F infinitesimae D F; vel, quod con
  27. dem redit, quot in recta g0 (qua cum curra
  28. D F eadem esse supponitur) infinitelima
  29. de
  30. s CCu Wt, VocatIS d: Z, _ TM: h, Facto-
  31. que Temper ha =Zu, Figura Q F R Icu Om-
  32. nia h a, aequalis erit spatio ge 0 seu tori
  33. dem ZU.
  34. OUaTC

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 174. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0196?run=74