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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. 19

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: 0.79.

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

The machine reads it as

  1. nis
  2. is
  3. est
  4. nH
  5. 1d
  6. 5
  7. red
  8. ce
  9. Ai
  10. n
  11. ri
  12. 1It
  13. O
  14. 111
  15. 0
  16. est
  17. 3
  18. il duc eia at aa suc
  19. Exiguo, sed in quantirare, cujus ulcerior diminurio actu
  20. concinuo sine Rne perapitur, consictere.
  21. Ouibuspercepcis analysiinfinitorum in Geomerriâ Cne
  22. lapluspericulo ucemur; cum nihil hic in concinui divisbi
  23. licarem, e incommensurabilium asuminerriam, quibus
  24. Scopulis altisa Indivisibilium Mech odus nautrasium pastura
  25. videbatur, commissum BIE.
  26. I. Pollene de plura, ex prosrettionis infinire proprie-
  27. care, circa numeros intiniros demonstrari: Verb: er: Si in
  28. monadicorum proprestione singulicermini, seuunitares,
  29. ducancur in secerminatam quandam quanriraremr
  30. eric, si cerminotum quoriras aue mulcicudo sic =m, summa
  31. hujusproprestionis m. In omni enim proxrestione
  32. qualium, cerminorum agsreparum quodlibee equaturret-
  33. mino unico in quoricarem terminorum respectiram ducto.
  34. quod sacisnorum est.
  35. VTT. Pacechinem numerum simpliciter infinieum ChenC
  36. cum roco, quioritur ex proprectione infniris quidem, sed
  37. merisumicaribus constanci) per quamsibet quanritarem
  38. mulciplicatum auc dirisum, extibere numerum alius se-
  39. n
  40. neris infinicum im aue; quiad primum in decerminatam
  41. tiaberrarionem, uE L ad unicarem, aur urunicas ad l.
  42. YITI. Ouin _ hinc apparec, quodvis infinicum pm.
  43. ce summam propressionis equatiump, cujus rerminorum
  44. quoricasinAnica est seu L m; estenim,
  45. Pm = p. + P + P F D F p. D sie continuo ad sque cessatione pereen-
  46. do. JuxaW. 6.
  47. E. Nec opusest, superioribus intellectis hoc etacuni
  48. adruere: omne scilicee infinicum insuo penere, aualy-
  49. rico esterri, per quancirarem decerminabilem in n seu
  50. numerum infinitum ductam; siC, Dm, RI, ym, am,
  51. deC. Tunr singulx, sed sui generis, inRHIEX quAHEIEateS.
  52. 2. Exquibus consequicur, tore quaneicarem enjusti-
  53. be

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 19. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0041?run=74