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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 209

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. PRIMCIPTA MATTIEMATICA.
  2. Corol. 2. Si corpus in superticiem quamris CD. lecundum Ca LIBEK
  3. rectam AD lege quaris ductam incidens, emergat secundum aliam enimos
  4. quamvis rectam D K,
  5. et a puncto C duci in-
  6. celligantur Lincae currae
  7. C F, C QIPAS D, DR
  8. semper pervendiculares:
  9. erunt incrementa linea-
  10. rum F D, _D, at9; 20-
  11. colinexiplX PD, _D
  12. incrementis iltis genitae,
  13. ut sinus incidentia et
  14. mersentia ad invicem:
  15. dC COHETa.
  16. PROPOSTTIOZEVIII. PROBLEMA XEVIII.
  17. Tisdem positis, es circa axem AB descripta superficie quacunque
  18. attractiva CD, reculari vel irreculari, per quam corpora de
  19. loco dato a exeuntia transire debent: invenire superficiem se-
  20. cundam attractivam P. F, qua corpora illa ad locum datum B
  21. conversere faciat.
  22. Juncta AB secet superticiem primam in C dx secundam in P,
  23. puncto D uccunque astumpto. Ecpolto sinu incidentix in (uper-
  24. siciem primam ad sinum emergentixe ex cadem, et sinu emersentixe
  25. e superticie secunda ad sinum incidentix in candem, ut quantitas
  26. aliqua data NI ad aliam datam NY; produe cum AB ad C UE AE BC
  27. ad C F UEMI - NTadNY, cum A D ad TT AE AIE AFI equaliS AG, tum
  28. etiam D S Zd R AE AE D R ad D EI uE DF ad NI. Junoe RB, eE
  29. centro D interrallo D FY describe circulum OCCurrentem RLB prO-
  30. ductae in L, ipsique D L. parallelam asc B F: ec punctum s tan-
  31. set Lineam L F, quae circa axem AB revoluta describet Tuperk.
  32. ciem quaesitam. d. F. F.
  33. Nam concipe Lincas C P, C Q ipsis AD, D F respective, et Li-
  34. neaS F R, FSipsS FB, F D ubique perpendiculares esse, ad coque
  35. QS ips C F. semper aequalem; ec erie (per C Orol. 2. PrOP, XCVTI)
  36. D ad AD uc M ad FV, adeoque ut D L ad D R vel F B ad FR:
  37. E.C
  38. O

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 209. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0243?run=74