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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. 142

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. +42
  2. Analysis Infinitorum.
  3. CAr. II.
  4. Coroll. TTZ. Hinc cadeni, quae in S. IF, CorOII.
  5. ex alio principio ocendimus, originem ducunt;
  6. serierumque juxta clar: Wallis: tum auctarum
  7. cum multatarum aseregata ec rel. dlua, herum
  8. que poreltates qualibet in debica lua ratione ad
  9. rotidem maxima constimuntur; gua S. PEXCC
  10. dentis non nisi particularem casum efficiunt.
  11. EX: OIP: FIZ. XX XLX POCICI A 9) = X, ex AB =n
  12. si ∞ quotlibet terminorum Ciiplicium X COnTI
  13. nencium Cumn. 2, e currae ABS X9V2IION = 2;
  14. quaeruntur omnia n e leu OMIa ZC. Ou2
  15. DEOFCEF AaC ~ = nP = ml; CIque l = QC, ci:
  16. que semiper aequalis curVa AD F subiermalis
  17. QR; cricergo l= m, ec iuxta C dp. l. 5. 97:
  18. Coroll. I. XgUaTIO CUEVZ ADF (
  19. Tcd omnia lc = 2 ex praced: creo
  20. ninmle = omnia 2 c. quae cranc inrenienda.
  21. Ondehaecregula; omniaze. (Teu Factoini
  22. exemplum Z = rx Y X X) omnia rX C F X X C X-
  23. quantur ipsi ~ x subtangenttaliter per a divilee:
  24. hioc est lerei datx z unica ipsius x dimentione
  25. auctae, d postea in linoulis terminis per porest-
  26. tem ipEiuS X dirisX = 2r X X + 5 X. hinC S. 12.
  27. rursus demonstrari potest. Ponc autem pore-
  28. Ratesiptiusx, in terminis iplam ~ componenti-
  29. bus, nunc per numeros tractos nunc per negaris
  30. VO

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 142. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0164?run=74