Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 54

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: 0.88.

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

The machine reads it as

  1. 5
  2. Analysis Infinitorum.
  3. CAD. I.
  4. Coroll. TV. Sit Z 2d circulum, e Z 2
  5. =2Y X =X x, item fad hyperbolam requilate
  6. eam dC f = 2rXLXX, CTIEV ~ E AVYXX - X; CujuS
  7. ersotansens ex circuli ex lisperbola rangentibus
  8. coonita est; neque novichujus methodi extensio
  9. limitem.
  10. Coroll. V. FIOC FAIEH INEEE EXFCTA HOtCtIE.
  11. cum omnes tansentium methodi in determinara
  12. alicuius curvae natura substiterine, ejusque
  13. parametros dererminatas depolcant, hanc
  14. solam parametrorum limirationem non relpice.
  15. rc. Verb. GITaF. SICZ X, erit f∞ = yy:qua
  16. requatio, i fForer determminara = r, cNet ad para-
  17. bolam; ipta aurem f manente indererminara.
  18. erit ad cueram ex infinitis parabolis formatam,
  19. quarumque parametri lunt cuera pro arbitrio
  20. sumendae se mutuo sequentes applicate; cuius
  21. Juc aequatio ad tansentem, cum hoc in cacu fut
  22. nx, permodo inventa, criet X FFk = 2 kX.
  23. quae aequatio, si ad parabolam ordinariam li-
  24. mitari debeat, AetZ =r, unde t eAt infinier;
  25. quire, per Schol: Crener: Lemm. H. ZII. rejecta
  26. =3, CrIt Fk = 2 k X, eC F 2 X, Uti OpOE-
  27. TCL.
  28. 5. 38. Antequam ad alia transcam, HOC
  29. 2dd0. Sit iidem manentibus Z fX + Z X X = fyγ.
  30. quae aeguatio, praeter infinicas alius generis cue-
  31. vas, etiam es ad infinitas hyperbolas. Icu cur-
  32. VaE

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 54. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0076?run=74