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. 124

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: 0.89.

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

The machine reads it as

  1. X2
  2. Analysis Infinitorum.
  3. CAP. TI.
  4. Gc: C auta; indererminatam propriam, quam
  5. componit, Verb: Gr: x aucy, ingceditur) sum-
  6. eam (quarum infinitesimalium infinitam Cum-
  7. mam simplicicee voce omnium denocamus in
  8. Ccg9:) Equari indererminatxe maximae Porectati
  9. prexime superiori ac divilx peF CUUM exPOnOn.
  10. rem: Sic omnta X X 6 = Z ~3 OmNia Z. 3 1 = 1Z 4
  11. _c.
  12. Demonstratio eadem est, ac praecedenris co-
  13. rollarii.
  14. 23. Ttinc seguens produit maximae utilieatis
  15. in calculo infinicesimali theorema, nulli, quan
  16. tum mihi constar, adlruc animadvertum.
  17. Sit exposita quaelibet quantitas aut aequatio.
  18. indeterminatas quascunque, quae per infinitesi-
  19. mascrescunt aut decrescure, continens; caque
  20. redigatme ad InFHIFESIMAS MOrC IAMI EXPIUS
  21. Ostento; dico omnes terminos infunitesimales
  22. intinities, juxta leges s. PrxcCd. TUIIEOS Cx CO-
  23. dem expotitae quantiratis termino oriundos (qui-
  24. nam aurem illi sine, sequens docebie scholium.)
  25. Ips termino unde originem Cumserune, Fan-
  26. quam ralori absoluro, perperim aequiri; et c
  27. Converso. Si hic valor absolurus indeterminatE
  28. aC maximus; in infiniresimalium vero infurita
  29. serie continuo per infinicesimarum applicario-
  30. nem mutatus incellisaTUIE.
  31. Demonttratio duobus in calibus ablolvitur:
  32. 2, CI

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 124. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0146?run=74