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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. 170

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: 0.87.

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

The machine reads it as

  1. 17C
  2. Analysis Infinitorum.
  3. CAP. II.
  4. nia x a ad Omn. ye, hoc est ita complementum
  5. AFV ad paroboloidem A FO. Inde eadem,
  6. gux 5. II. Octenta sunt, deduci porent ab(9.
  7. tangentium auxilio.
  8. 5. 44. SIc Fig. XITZ. N. T. Cademque, quX
  9. 5. 32. C ap. I. Cymbola; adcoque cisloidis AKG
  10. aquatiO X X = YZ, TCU X = YZ Z = X ZZ; Crit
  11. ca ad intinitesimas redacta, juxta Schol. 5. 23.
  12. 3 X X C = 2 YZ0 = 2 X Z0 =Z Z e; Quae divila PCF
  13. X
  14. 2, 2c loco Z Dolito y juxra hyvothesm, tum
  15. _ l ipCi r = x substituro abibiF in hanC. 3y e=
  16. 260= Z e.
  17. Jam rocato cissoidali inteoro spatio = k
  18. lemicirculo intcoro = c, cum omnia lo CInE
  19. omniaz e, (si utrumque arcam cisfoidis infini-
  20. ca delignet) erit 36 = 2 k - k = k Ceu Cisois
  21. Temicirculi. tripla.
  22. HIOcnOtetuE; Situm omnia lo, tum omnia
  23. Ze, non ad infinitum ciroidis spatium, sed ad
  24. Partes ejus respectiras referantur, Forc AK p
  25. omnia 2c (hoc dicatur: f) tu AK 1O
  26. omnia lo (hoc appelletur: p + f, vocatosci-
  27. licet rectangulo PK MO: p) aC omnia pe=
  28. APF. (HOC FAF = d) quare Cum (IC CX suPC-
  29. rioribus OR. 3 y e = OMIM. 2 10 = OmN. Z C, Cxit
  30. 3d = 2 p + 2f.
  31. f, seu 3 d = f = 2P, hoc est
  32. triplum portionis circularis AP F, detractâ
  33. TCL

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 170. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0192?run=74