Leibniz Legible

Machine transcription of the Leibniz Nachlass

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. 275

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. CAP. VII. Analysis Infinitorum.
  2. DetuE Per r Z + 5f; quae omnium minima hoc in
  3. calu experitur. Sit erso rZ ts f= py aequatio
  4. repexsentans virium Cummam; in quodcunque
  5. etiam superficiei AF. punctum radius ex B in-
  6. ciderit; in qua, ut p minima reperiatur, (FIs.
  7. LXXZI. N, II.) ad interceptam communem
  8. AC: X OrdinatX CONCIPIANEUEECS CUEVX AD
  9. AB, AF; quarum applicatae dicantE C B: Z,
  10. ejusque SUDEaNSCNS C K: l; CD in CaTU Le-
  11. Hectionis, CF incalu refractionis vocentur: f,
  12. carumque Cubtangentes CL _ C MI peoraria
  13. intentione appellentur n; tandem in CurVa POHL
  14. lit applicata HIC: v. ejusque (ubtangens CT: 1,
  15. erit POSica Currarum inceF SC relationc r2 + 5)
  16. yy, aequatio Tubtansentialis carum omnium
  17. ex C aP. L. 5. 35. rZ + n + 5flF = 2 yγl n, in qua;
  18. si y ad extremum sit determinanda, seu ad li-
  19. ReaM ON, crit t infinita; unde ex SchOl.
  20. Gencralis, N. XIT. rejecto 2γyln, ac divi
  21. sione per instituta remancer Ln F 5fl = O, PiO
  22. aequatione determinata.
  23. Cum aurem hic ad omnimodam problemaris
  24. determinationem aequationes neceslariae ex dato-
  25. rum natura reperiri possine; ac (IT I. in triangu-
  26. 10 B AC in A rectanoulo, (vide FIC. L X XXI.
  27. N. 2. eC 2.) d d Y X N = 2Z, Quae ett ad locum
  28. CUEVX B A, erit ejus subtansentialis l = X

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 275. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0297?run=74