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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. 52

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: 0.90.

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

The machine reads it as

  1. Analysis Insinitorum.
  2. C AP. T.
  3. 3cCf20tCCf n =2fZ 70+ 3ff227 a + ff2 a.
  4. Onde articulus hujus resula primus demon-
  5. arationem Cuam Petit.
  6. POEEO CUM CX CUrvArUM NAtUEA CIC a=
  7. et = 0 = 1 = - 2
  8. 2
  9. hisce in
  10. infinitesimarum locum surrogaris orietur requ2-
  11. tio, ubi finguli termini (Colis illis, in quibus e
  12. reperitur exceptis) per ejus currae subtansen-
  13. tem dirisierunt, ad quam auc cujus applicatum
  14. infinitesnta reterri debet: iltique, quos infi-
  15. niresimae i ecu inscediuntur, Per curvarum
  16. hilce infinitelimis crescentium tansentes, uni-
  17. ea curvarum potectare diminuri, mulciplicati
  18. apparcbunE.
  19. Onde, rouationem reducendo, ip(a Opera-
  20. tione patebit lequentium hujus canonis articulo-
  21. cum demonstratio.
  22. Ouam obiter trronibus indigitasse, ne LX-
  23. dium pariam, hic susfecerit; exercitaris alio-
  24. quin Catis obviam.
  25. 37. Sit Fig. X L. Perctantibus iidem, f2 = y y
  26. hOc CK, CUEVA A D FejusnaturX, ut, ductis dua-
  27. bus cueris ACG _ A N K ad cundem axem,
  28. sic perpetuo rectangulum N QC aequale qua-
  29. deato in D 9: oportet uni ex his tangentein de
  30. Cignarc. Ouare, adhibitâ 5. 35. tradita methodo,
  31. erie, retentis iidem subtansenium symbolis.
  32. xqua-

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 52. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0074?run=74