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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. 164

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: 0.85.

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The machine reads it as

  1. 164
  2. Analysis Infinitorum. C AP. TI.
  3. infinitesima e, X a; habebiturque, Cum sIF
  4. hC = y a, Xye = ta amotis infinitesimis
  5. B= + = V = R = 93.
  6. TI. Sint omnia Be = ry = rectangulo ex
  7. determinata in DO, erit ra terminus infr
  8. nitesimalis ex ry oriundus, _ Facto he= ran
  9. crit ry omnia he= omnia ra, Cx5. 13. 2-
  10. deoque cum (IE y e = t a, Het h -.
  11. +
  12. TII. Sint omnia he =. x y = rectangulo ex
  13. AO in OD, erit juxta Schol. 5. 13. X a + pc
  14. terminorum insinicesialIU Cx X y na(CeN
  15. tium Cumma; haec Aat= he, Crit x p:= oma.
  16. he= OMN. X a + ye ex S. 13. ex clisis infinitesi-
  17. mis per aequationem: ye = +a, ACt B -
  18. X y + +y
  19. IV. Sine omnia he = 1y = rectangulo ex
  20. T in OD. Crunt, iuxta 5. 24. ipsIUS L rC-
  21. spectirae intinitelimae = e ri; adeoque termini
  22. intinitelimales per Schol: 5. 23. hinc prodeun-
  23. 1C5y e, + yi + + a, Quibus tactis = he, Crit t y=
  24. OM. Be = OMM. y e F y i F + a Cx 6. 13; unde Cx
  25. hac aequatione he=. y e +y1 + F a hoc modo cji
  26. ciantur intinitelimae, primo, eA ta = y e, quare
  27. he= 2y C + yi; secundo, ue tollatur i, cum
  28. haec pertincat ad subtangentem 2O Ten + RyF
  29. AC P curvilineum Cuotansentiale, in quo sem-
  30. DeI

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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. 164. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0186?run=74