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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. 29

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. 1
  2. re
  3. d
  4. ct.
  5. CAP. I. Analysis Infinitorum.
  6. reliquilque post secundum per 5. 7, cranescen
  7. EibuS.
  8. 22. Ouinetiam cerminum ex simplici solumq
  9. continenti ortum, ese cundem equationis cur.
  10. rae terminum, per numerum dimentionum ip.
  11. Ciusy multiplicatum.
  12. Sit enim in aequatione cuera terminiis po (P0.
  13. SitO c pro potectatis ipsius y exPOMenTC) aC
  14. PEO y, juXta S. 5, acceptum y - a A ad po-
  15. tectatem c’erehatur, remanebit, Per S. 10,
  16. TOlus sccundus = cayE, _, juxta 5. 8,
  17. y ips a CubstitutO, CTIE TCTMINUIS OPEUIS = Cy
  18. ex simplici yc.
  19. 22. Trem, terminum interCCDEaM X CON
  20. cernentem, ex simplici ortum, ene cundem
  21. xquationis datae terminum per respectirum di-
  22. mentionum ipsius x numerum mulciplicatum;
  23. ita tamen ut poltea unica ipsius x dimention
  24. multetur, ac cidem e CUMCIAEUI.
  25. Siquidem in porestate, cujus exponens b, a
  26. radicex = e, Secundus terminus es = b e X b E,
  27. eC, Der S. 8, mutatO eInF, CriEterMINUS OF-
  28. tuS = b+ X b-T ex simplici x
  29. 23. Signa terminorum in veraque aequatio.
  30. ne, Tum CurVae, tum ad taHGCHTeM, TUNCCA
  31. dem, cum enim, 5. 10, non nili secundipo.
  32. celtarum termini xquationem 2d tangentem in
  33. predianur, iltique, in radicibus binomiis

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 29. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0051?run=74