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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. 119

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: 0.79.

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

The machine reads it as

  1. I11
  2. id
  3. 9d
  4. CAB. IL.
  5. Analysis Infinitorum.
  6. Parabola, ejulve trilinco, aut hyperbola, 8
  7. existente applicata OD: y, INFCKCCDEA D. A: X
  8. TUM ER = OF: b, 2XC AO: c, Fore ommia
  9. OR seu b ad toridem seu omnia D sCu y,
  10. UE p + g ad p. SIVeTO QUATATUE, Qudi AaBCANE
  11. tationem omnia b ad quamlibet porestatem k
  12. erectae, ad toridem y in eadem potestate consti-
  13. tura, seu omnia be 2d omnia ye, sequenci
  14. Modo inrestigari porect; 2C peimo, in F. X XNII.
  15. seu paraboloidibus: PrODter aGMatIOLCM
  16. pB = 4∞ 4 = yP, CA y 1= Y
  17. a1
  18. 91
  19. de P; Rat
  20. JaM pE=rk 12, erit ralore hoc in locum
  21. iplius rE repolito, ac divisione legitime per-
  22. 2Cd rD = 9N = ZP, quae Xquatio demIO CA a
  23. parabolam; sIcCa GO, ubi manentE A: X;
  24. ec O:6, HE OP: Z; dC OG: d; IaI VETO er
  25. Coroll. I, uEp + g k ad p, ita omnia C O seu d 2d
  26. Omn: POIcu Z hoc es ita omnia b l ad omnia p l.
  27. cum enim mox fuecit suoposum y k= p R- 1 ∞)
  28. eric eandem ob causaM b l Fi rk - 2d. Uade
  29. constat ratiocinium.
  30. Idem ( AaE in lpperboloide L AOFDL,
  31. FIC. XXXITF. Cujus hic aequario, retentis Cym-
  32. bolis yP x 4 =: bPC, AaFGHC y C = bL=. 2 IN-
  33. venietur ratio omnium y e ad omnia b k, utp
  34. 2dp = gk. Posset ec, reducendo hyperbolitor-
  35. em hanc xquationem ad parabolitormmem, idem
  36. 11121C. 2

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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. 119. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0141?run=74