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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. 18

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: 0.92.

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

The machine reads it as

  1. N
  2. Scholium Generale.
  3. Om nullus existat numerus, qui inter proxressionis
  4. Arichmericae: X, 2, 3,4. eec. terminoslocumnon in-
  5. veniat; Anculiq: hujus prooressioniscermini peneren-
  6. cur expropressionis monadlex respectivisaperceacis; pu
  7. merum quemliber, sub specie sunimae proprectionis unira
  8. cum, considerari polse hoc ipsopater. Onde sequences.
  9. _ alicujus in hisce momenei, numerorum proprietaces
  10. emereune; nimirum.
  11. I. Obiunicatum hxcpropressio subsistit, iptarum appre-
  12. eacum numerum constiruie determinabilem, ac per monadi-
  13. corum proprestionem cerro rermino cellanrem denorgn.
  14. Sutm; verb: gr. 2 = 1. + 13 3 1 + 1 + 1, _C,
  15. TI. Ubi vero nunquam subsistendo progredieur, e in mutri
  16. rudinem rerminorum omni dererminabili majorem alsurpie
  17. haec propressio, aggrepatum unitatum numerum constiruie
  18. omni dato majorem: m, hac de causa per proeressionem mo-
  19. nadicorum nunquam delinenrem exprimendum; veluE
  20. m= 1 + Y + Y X r XC d sic concinuo absque cesarione perzendo.
  21. TYT. Cerro rermino subsistens monadicorum proprestio,
  22. adeoque numerus decerminabilis aliquot prosresionis unuates;
  23. nunguam desinenspropressio seu numerus omni decermina-
  24. Bilimaior omnes bujus progressionis unicaces comtinet.
  25. YV. Numeri omni daco majoris essencialis propriecas.
  26. aeratio formalis in perperuo accrerionis actu consistie,
  27. subsistendo enim numerum decerminabilem cfficeret
  28. (NO T.
  29. V. Ouare, Siguantiras determinaca b dividarne pexriu.
  30. merum omni daromajorem, seu continuo crelcentem, mo
  31. eric tractio
  32. in quantiras continuo decrescens; HRVeNEE
  33. enimnumertrore, ac denominatore sine tine aucto, dimi-
  34. nuceur sine Rie Fractio.
  35. Onde insiniresimarum natura clarius illuceseie, parees
  36. que iplas, non in dererminato quodam indivisibili, uc uc
  37. exisuO

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 18. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0040?run=74