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. 42

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: 0.83.

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

The machine reads it as

  1. 42
  2. Analysis Infinitorum.
  3. C AP. I.
  4. existentibus, QP, FZL, GM, ZK, Ceu e, a, 0,i
  5. intiniresimis. Fmerserque, juxta superius
  6. iradica, aequario ad infinitesimas reducta,
  7. +0 - 2 - i = y + a, ec deletis delendis, Cx 8. 6,
  8. i a.
  9. Ex qua sublatis infinicesimis inrenietur curre
  10. expolitx (ubtansens X 9 scut.
  11. HoC autem duplici modo eRectum dari po
  12. test, quorum uterque examinari quodamiodo
  13. meretur.
  14. Primus modus in eo consistie, UE, PEXTEE X-
  15. quarionem ta = y e expositae cuera ordinariam.
  16. aequariones atumta omnes ad infinitelimas re-
  17. digantur: _ opcharum infinitesima ex aqua-
  18. tione ex assumtis orra, ad infiniretimas tamen
  19. priusreducta, auEcranEUE.
  20. Sic allumta aequatio prima Fuit rr X + y3 = f:
  21. quae ad infiniresimas redacta exhribebit o=i
  22. re L 339a
  23. 33
  24. Secunda aNtumta aequatio, rr + X X =, ZZ,
  25. C
  26. Ouibus raloribus in aequationc 0 - 2 = B FC.
  27. potitis, orietur
  28. 120- 35] X e
  29. 3552 = 39yZ a CX XGu2-
  30. tione modo inventâ, unde emersit qualita sub.
  31. CAHSCNS F= 3.F52y --3y
  32. 1
  33. 2
  34. (X

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 42. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0064?run=74