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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. 294

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.

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The machine reads it as

  1. 294
  2. Analysis Infinitorum.
  3. C AP. X.
  4. tis, sIE PerpetuO p: g.: f: y. unde qf = p9 =
  5. qu gr; ec ductis omnibus in a, erie py a =
  6. qu a -g+ a: dClocoF a POlITO y e, Crit p y a =
  7. qu’aqye; e additoutrinque 2 9y e, aCOm
  8. nibus collectire sumtis, emerget post transposi
  9. eionem omnia 2 9y e = omnia qx a t omnid
  10. gye omnia pya; adeoque (cum altera hu-
  11. jus aequationis pars sit reducibilis per hujus 5. 2.
  12. e 4. 2d 9y X
  13. 2PγY) tandem, juxta C ap. Il.
  14. 5. T3. Cradet; X y-
  15. 4q= omniay e= trilineum
  16. AF P, unde _ hujus quadratura innorescit.
  17. Potuisset ipsa alio modo inveniri: si enim in
  18. venta aequationi pya = 9 X a - qy e addatuE
  19. utrinque qX a, erit py a + 9y e + gX a =: 2 9 X 43
  20. quibus collectire lumtis, ac juxta 8. 2. ex 4. hujus
  21. reductis orietur ex Cap. II. 5. 13.
  22. e omnnia x a = trilincum R AF.
  23. P97 + 972
  24. Scholium Noretur reductionem hane supponere indeter
  25. minatas x e ) ec. nulla sui parre dererminaras esse, sed
  26. meris infinicelimis ab inirio ad finem per roram Cui longiru-
  27. dinem componi, de eodem quidem modo, quod circa
  28. Cap. L. 5. 12. exprese monnimus; cum es requariones exre
  29. ductione resulcances cerminum nullum omnino derermina-
  30. rum admirrere. Si enim infiniresimae sinculla ad inderer-
  31. minatas suas limicarione accipianeur, una eademque infi-
  32. niresimalis aequario varias quandoque curvarum speciesret
  33. piciet.
  34. Ouod ur breviter ostendam, sic aequatio insiniresimalis
  35. 29A= 2 X C, quxe collectire sumra dabic omnia 2y a = om-
  36. nia

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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. 294. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0316?run=74