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. 251

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. 1b
  2. C AP. V.
  3. Analysis Infinitorum.
  4. crit BF = 5 + u - a, unde tangentium TD de
  5. BF differentia continua cA: 1 2; (I VerO
  6. Cxdem tangeNtCS TD, de B F ContanteE PFO.
  7. ducantur in F _ F, ita UE T F appellat B,
  8. linea BF SE perpetuo B F 2; Ceit D F = 5 + h
  9. aC FT = B F + BF = 5 + 1 = a + B + a = 5 + B + 1
  10. quare lincarum D F X YF differentia erit =
  11. OF = W, lincaeque F F d F L aequales; unde
  12. clauso per FF triangulo F FY, CxIF F Z utrique
  13. Derpendicularis, ex lemmati 33, de Parallela
  14. intiniresiX C B, AC ex T ducta T s itidem
  15. X ip(I CB requidistans Faciet B S = CF = 2;
  16. remanebitq. SY = T F = B: CUIL AUFEM F Z CIE
  17. quoque intancelima, quoniam CB talis el,
  18. continuata, ut in 5. 6. tansentium seric, eII-
  19. TuS OmNTa FE abibune in curraI AFI, cui
  20. omnes rectae cueram AD F tangentesnormales
  21. crunt; unde, I1ambx ha curra in eodem punc.
  22. tO A delIanE, Semper recta DF aquabituE
  23. CUIEVA AD, FUMLjuXta S. 7. Tum etiam, quia
  24. F. F aquatur ominibus u, Quonia BF XG1I2-
  25. tur omnibus, i - , ec BI omnibus a, uti
  26. tangentes continuando apparebit.
  27. Ouare, SIdatA CVEVE AD F. relatione, adeo-
  28. que omnibus eam tangentibus, inveniri posser
  29. CurVA A FL natura, seu respectus ad axem AO
  30. InVenta Toret hac unica opera omniu ecome
  31. tricarum currarum longitudo.
  32. Coroll.

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 251. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0273?run=74