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. 182

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: 0.85.

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

The machine reads it as

  1. +82
  2. Analysis Infinitorum.
  3. E Et
  4. CAP. II.
  5. 5: W1: : F: C; WHdC s= e, AIEHOC r exit et
  6. Sh: Quare In Figura LTL. DOMEa curvE involutd
  7. B2 on in directum, ut rd in utraque lcaqualis
  8. un applicetur e inrlinca r A = h, erit A Y + B
  9. = hu, _ BD B d= omnia hu; quod spatium
  10. Bi
  11. divisum perr dabit omnia; = omnia e, seu
  12. Ponsicudinem axis AF in Fig. L. Facta nimi-
  13. rum EC in Fis. Z. aequali ar. eAque, uti p2-
  14. tet, (PaE. AB H6 in Fig. L. Spatii Bn in F18.
  15. LT. Crolutum.
  16. 5. 53. Ouin _ hinc nalcitur aliis jam excy-
  17. ta ex involuta erolutam describendi methodus.
  18. Radio quolibet P scu r delcribatur Fig. L. I.
  19. arcus PO; cujus infiniresima, inter ux de s
  20. productas intercCpta O) R CIT: 0, exit, obra-
  21. dios arcubus proporrionales, ux: Yn :: X R:
  22. R 9. CCuy: e:: r: 0, unde r = e. POTItO CrgO
  23. aecui OR P in directum, Fig. L TII. appli-
  24. cetur in puncto R linea RL = n y = y, Crit
  25. YR QK = 70, eC O9 KHI = Omnia y o; quod
  26. spatium dirisum per r dabic omnia r= omnia
  27. c= AF in croluta Fig. L. WbI F C = X Y = RL
  28. Y, e Cueva BD = CurVX Bd.
  29. Coroll. T. Sit Fig. XIVIII. cadem Spiralis 5. 49.
  30. ec SI. i CoroII. tractata DVSP, Factâ cir-
  31. Ci

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 182. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0204?run=74