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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. 30

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. analisis Insinitorum:
  2. CAP. I.
  3. p. a X= e, ForO- copulatis, concrario
  4. signo ac primi afficiantur, tota aequatio compa-
  5. rebit sub fignis aequarioni ad currem contrariis:
  6. undemuratis omnibus, (quod Calvâ aequarione
  7. heri Posseirronibus netum est) utraque aequa-
  8. tio hoc in calu, (de cateris quilibet Facile judi
  9. cabir) iidem signis in respecciris terminis affec
  10. ia esse videbitur.
  11. 24. Hinc recula tansentes ducendi oritur;
  12. cum curra aquationem habet terminis simplici:
  13. bus constantem; Fx: CF: data fII CUrVA X
  14. quatio; y. - 5y, + k y - X + l X X M B
  15. + n L o qUX ordinetu, Ut Omnes y a
  16. Tinistra; omnes x 3 dextra inveniantur, exie
  17. y 5y3 + Ry = ∞ - IX X + M X = n unde,
  18. juxta 5. 11, 12, 73, Tingulis terminis per ipla
  19. rum u e x dirriensionum numerum multipii
  20. catis, ac unica x int mutara exsursee aequatio
  21. adtansentem.
  22. 49 = 3593 + 2ky = 4u 7 - 21 Xt + mF.
  23. 25. Jam vero terminos mixtos consideranti
  24. bus, opparet ex singulis termminis mixris binos
  25. proaequatione ad tangentem terminos oriri; siI
  26. enim terminus inixtus pcx, ec cacb porc
  27. Ratum iptarum y _ X expOnemeS, oriun
  28. tUx CxyC, IOXTZ, S. Z, terminis jeL cap0- Y
  29. item ex xb termini xb = b ex b =1, qui in se
  30. munto

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 30. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0052?run=74