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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. 295

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: 0.86.

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

The machine reads it as

  1. CAP. Z.
  2. Analysis Infinitorum.
  3. nia 2 X c; & juxra prxecedenria reducta exhibebit yy = X X y
  4. ac extractaradice y= x; undeprimmo haec aequario insinite-
  5. limalis FiG. LXX XIV. ad criansulum verb. BF. RPNV (iN
  6. quo H
  7. X, e 05: y,) reducieur.
  8. Si vero invencae aequationi yy = XX, determinata quau-
  9. cItaS er sub quolibet signo addatur, Crit, Cx. Br. yy=
  10. XX = rr ad hyperbolam, ad quam eadem haec infinicesima-
  11. sissecundo referri porest, politis enim in eadem sBurZ R A: Y.
  12. Re: X, DD: y, OP: C, FFF: 4, SIECUEVa AD F. AyperbO-
  13. la, undeiphus aequario x x = rr = yy, qua reducta ad in
  14. siniresimasdabit 2X C= 274.
  15. Onde POStiS RP in PH, RC in OS REC, EUM FF
  16. L F AC DQ in HK deC. erIL F P F criangulum = Om
  17. Ma ya
  18. yy; cum craperium AGWP = omnia xe, 2.
  19. deoquehicreductio omnium xe ad : xx locumnon habet.
  20. trac quidem de caut2, quod RP seu x non in torum, sed
  21. Parre Colummodo sui AP ex infinicesimis P8, OL, ZC,
  22. ec. Ceus Componatur; readua nimirum porrIOn
  23. R a determinata Mahente, quare hoc incasu omnia re leu
  24. crapertum AGW L Xquatur LXX = Lrr.
  25. tertio, Sit jam LP: X, eaque (IIPPONAEIT CreFCCRE Per
  26. LL. _C. Teu e; 2C D:y decrescereper DZ: a; expona-
  27. curq. Quadrantis cireali aequacio rr = X X = yy, dabichaec
  28. intinccalem - 241- + =- 27 a _. mucaris IgNIS, 2XC=
  29. 2γa3 AHREaurem Pa O P in OX Rc. omnia XO =
  30. triangulo FL V. ac ns aqualia omnia ya (si quidem
  31. perpethio in L. F, HIL, VO PONatuT) ConstiLVCMEELaPe-
  32. ude patet quanssiber aquationem insinicesimalem,
  33. simplicirer sine restrictone propolicam, unam determina-
  34. tam curram non lespreere. cum manente eadem insiniceli-
  35. mali, post reduecten quancirates quaelibet decerminaex
  36. multismodis xquac ac BI queaME, quorum eractario.
  37. nem maxis accuratalr, cs plusrequirat remporis, quam
  38. mihimea impraesenctarum permirtume nes ocia, aliorum iu
  39. Z l. 34 sCl L pr - 197.
  40. dapini ulteriori relinquo, hocaddo:
  41. 6. Sit

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 295. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0317?run=74