Search the Nachlass

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 183

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: 0.82.

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

The machine reads it as

  1. CaP. II. Analysis Infinitorum.
  2. culi intinitesima AB = 0. (quia D S eAt = Z)
  3. erit 20 = re. ec politâ circumterentia circu
  4. in directum in AE FG, FIG. XL IX. WEF F (IC =
  5. AB = 0, ec F. C huic applicata = DS = Z, erit
  6. E A = 0; _ CUEVA AC D E aequatio cadem
  7. cum spirali deZl = ric, Guxe ad Figuram XLIX
  8. relata est parabolitormis.
  9. Onde, 5. II. COr. I. AF C spatium cA =
  10. RCZ
  11. e F s = Omnia Z0 (eU OMMIA FCD F; CFSO
  12. C Z
  13. omnia r = Kr + s, = omnia c; sine autem
  14. omnia e= h, _ in Fir. L. ei aequalis AatuaTUE
  15. AF, CUI APBLICCIE ZC PCU Z, erit BujuS
  16. (C 5
  17. CUEra aQUaTiO ErLSr = B; XC PeE aguationem
  18. Spiralis curra ablato c, ac a quarione intCE Z _ B
  19. 5 k + 5
  20. 5 k +.5 5
  21. constituta erit d k 2 = k +5 Y
  22. b
  23. est aurem in Ficura. L. Spatium ABCH Sxi-
  24. ralis crolutum, adeoque hujus duplum, de jux-
  25. 125. 2X. COr. I. Xequalc a + 25, unde spirale
  26. k dr
  27. L. + 25, Ut Cupea jam (aepius inventum.
  28. 5. 53. Alterum, quod considerationem hic
  29. MCrCtuT, problema est, ex data eroluta inve
  30. nirc involutam.
  31. N
  32. 3

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 183. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0205?run=74