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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. 296

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.

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The machine reads it as

  1. 29C
  2. Analisis Infinitorum.
  3. C AP. X.
  4. . 5. 6. Sit aequatio quaelibet infinitesimalis.
  5. rXC = yy e= 3yy a; quae collectire Cumta,
  6. altCFA PaTS 3 y y a Cx 5. 2. HujuS reduCaTUE, 2
  7. bic in collectire mixtam (vid 5. 5. exempl. I.)
  8. omnia rx e = omnia yy c = y Quaruntur hinc
  9. termini infinitesimales collectire sumti, qui valo.
  10. rem ipsius y per quaslibet indeterminatas verb.
  11. sc. F mulciplicati au dirisi, seu ipsum y’f F
  12. adaequent. Ouod quomodo obtineatur in
  13. calu mulriplicationis, sequens docebit theorema:
  14. terminis expositis infinitelimalibus rx e- yve.
  15. per f. Ccu quantitates indeterminatas prius
  16. multiplicatis, pars aquationis expolx absoluta
  17. perterminum infinitesimalem 3 ffi ex f30-
  18. riundum multiplicata, cum suo signo legitimo
  19. addotur; e Cumma haec infinitesimalium co-
  20. lectire sumta xquabitur quaelito valori absolu
  21. 10 yf
  22. Sic, ut in eodem mancamus exemplo; ex
  23. inrenta aequatione omnia rx e omnia y y e=
  24. y sequitur omnia rx f. e- omnia y y f et
  25. omnia 3y ffi Fore aequalia ralori abloluto
  26. Demonstratio. Cum enim (ex C ap. II. 5. 73)
  27. sIF y
  28. omnia 3 yy f a + omnia 3 pf
  29. omniarx f’e-omnia ryf’e + omnia 3y ffis
  30. E collectira lixec ad insinitesimalem deprimarue
  31. ACrI

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 296. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0318?run=74