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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. 138

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.

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

The machine reads it as

  1. +38
  2. Analysis Insinitorum.
  3. C AP. II.
  4. in infinicum, intinica dantur spatia mensurabi-
  5. lia, ec alsumto cuidam curvilinco aequalia.
  6. Ex: O: inhypochesi primahe Z a, Tact a 2
  7. aequali determinataer, crit h= ; unde, y e t
  8. excurrx AD F relatione corniris, erit ASa
  9. aequale omnibus ra Icu ry seu rectansula
  10. FOGK. Idem Ci Frac in hypochesi secunda h0
  11. =2u erith = i e spatium +5O aequalere-
  12. ctangulo a eou, seur in curvam AF; quod si aNu-
  13. MATUIEZ = cerit he= cu; d spatium AOS X2
  14. quale Temiguadrato curva AF.
  15. Coroll. TFL. Dec hypochelis in duobus tan-
  16. cum terminis consiltat necesse eMt, cum inFIMIEIS
  17. fere modis variata astumi vorsir. Sit in exem-
  18. plum ye + x a =ihe; est p0 ad curvilincum
  19. AFO, x a ad ejus complementum AF V, ∞
  20. hc (Facto oC = h) ad crilincum A5O; un
  21. de hoc in calu semper A aC = rectangulo
  22. XD Q A. Quod A Proprietatem CHEVE AC 5
  23. invenire quis velit (cum ex dara curra AF. F.
  24. CTIaM X eC y daTA (INE) CMy c= Fa; adeoquo
  25. X y. F cy
  26. ; QuX ODCCUErX AD F expreNa PeF
  27. interceptam x dabit quaesitum.
  28. Sic arTumto Z a + he = fu (polita fpro terria
  29. in determinata ada. applicabili) unica V erb. CiF.
  30. pro lubitu decerminata =r ec clilis intinitesi-
  31. inis

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 138. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0160?run=74