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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. 233

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: 0.88.

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

The machine reads it as

  1. CaP. IV.
  2. Analysis Infinitorum.
  3. B: k: : C: 0, eAt 0 = h; tum ctiam cst y a = le,
  4. adcoque
  5. b = be de l = B = n.
  6. Onde hric consequitur canon: Si duarum
  7. CuEVarum AD F _ ANK, ad cundem AXCM
  8. AP Ordinatarum, ca sit relatio, ut illius sub-
  9. S hujus normali NS perpCTHO
  10. adaquetUE, Crit SuPerFicieS ex hujuIS CHIEVX
  11. AAK FOtationCCITCAaXeM AP GenIta, SCM-
  12. per xqualis circulo, qui applicata D alte.
  13. riuscurrae, tanquam radio, describitur.
  14. Coroil. L. Sit Q N ad circulum, cujus
  15. eQuatiO 2r ~ = ~ = s5; e OD ad parabO.
  16. lam, cujus aequatio 2 r x = YV; Cxit PaES CUPeI
  17. ficiei sphaericae semper xequalis circulo, qui ap-
  18. plicata parabolae in eodem axis puncto q, tan-
  19. 9 y 6
  20. quam eadio, descriptus est (Cu = 2r = CX;
  21. unde POSItO X = 2r crit integra superticies =
  22. 2rC= Guadruplum circuli maximi in sphaera, cu-
  23. jusradius r, peripheria: c; cum inter circulum
  24. hunc e parabolam requisita relatio obtincat.
  25. Coroll. TT. Patet hinc, data methodo (ubnOr-
  26. malium inversa, dari omnium superticierum
  27. conoidicarum ad circulos reductionem.
  28. COr. ZII. PoNet e hoc principio subnormalem
  29. NS Per x expresam in seriem relolrendonon
  30. PaII

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 233. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0255?run=74