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. 153

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. C AP. II.
  2. Analysis Infinitorum.
  3. ec Z8 semper equales = h; tandem Cubtansens
  4. primi e
  5. ceptom A2; item subtangens secundi 70 ad
  6. primi interceptam AO in ( 5, dOnCC exORtA SInE
  7. duonora currilinca A, 12, F, B, dc AYP. DicO
  8. haec ultima libi mutuo perpetim aequari.
  9. Vocatis enim ZO: n; _ QT: m; NIE14, 6,
  10. 23, F, =F; quae est infinitesima, qua h in utrOq
  11. currilineo crescit: Crie; n: B:: J: V; tum: m: B::
  12. c: ; unde emerget mi =ne, eAt autem ex hy-
  13. potheli area A, 12, F B = Omm. mi ec spatium
  14. AYP = Omn. ne; unde constat propositum.
  15. 27. Nocari porest, _ Aach F = ZO, FOFE
  16. Derpetuo m Ln = ∞: HOC CHIML CATE EICC V = C + 1;
  17. adcog. n: t:: 1: C + i; tum m: 1:: 0: e + i; ende,
  18. explolis ex aequationum lese infiniresimis, et
  19. Fati veritas clucescet.
  20. 28. Sit idem euerilincum P F, item aliud
  21. ad cundem axem pOsituIm, AG P; CujuS HRC
  22. est proprietas, ut O4 jusiter adaequetur prioris
  23. subnormali g R: I; hujus indasetur CuBFanSCnS
  24. : m; exit 6, 14, =0 = e; 2dC0quC m: l:: c:
  25. 0 = c; unde m e + le = mo, quare Fa404, 5, =: M,
  26. erit 5 = m + l; adeoque quadrilineum A, 20, 7
  27. P. Teu omnia me + Le aequabuntur quadrilinco.
  28. 30, 25, 27, V; Cujus HaeC eA Natura, Ut ad CINB-
  29. las normalis D R ac axis AR interlectiones
  30. R de V, _cC. elerata perpendicularis R, 16.
  31. XquC-

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 153. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0175?run=74