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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 248

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: 0.87.

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

The machine reads it as

  1. 248
  2. PTTILOSOPHLA NAIOKALIS
  3. De Moro ut relocitas de pars altera ut
  4. Corrorom relocicatis quadratum, AE rC.
  5. Sstentia cota in F uE AF quad
  6. +. 2B AF. Jungantur D A,
  7. D P Circulum lecantes in L.
  8. ACT, BC exPOnatuT GraVitaS PCF
  9. DA quadita ut sic graritas ac
  10. relictentiam in P ut D Ag 2d
  11. AF9 + 2B AP: _ tempuS
  12. ascentus omnis Fucuri Cxie uE
  13. Circuli sectOr P. DTF.
  14. Agatur enim DV Q, 2b-
  15. scindens se velociraris A7
  16. momentum P 9. de Sectoris
  17. DF T momentum DTV da-
  18. co temporis momento respondens: e vel
  19. lud F Q eric ue summa virium gravitatis
  20. APg = 2B AP, id eA (per PrOB. Z2, L ib. 2. EICm.) uE D P quad.
  21. Proinde area D P ∞ ips P Q Pre
  22. _E areA DTV, (quxe est ad arcaM DP _ ut D T9 ad D F 9)
  23. es ut datum D T g. Decrescit igitut alea F. D P uniformicer ad mo-
  24. dum cemporis Fucuris per subductionem dacarum particularum D LV,
  25. ee propterea tempori alcensus lucuri proportionalis CAt. Q. LD.
  26. Cas. 2. Si veloci.
  27. eaS in aCCensU COr-
  28. DOrIS CXPONAEuT PeF
  29. Congicudinem AF
  30. uc prius, de relisten-
  31. tia ponatur eAc uE
  32. AF9 + 2B AZ, e
  33. Si vis gravitatis mi
  34. NOF (E quam quae Per
  35. DAq exponi pol.
  36. SIE; CapIaEUE B D C.
  37. sus longitudinis, ut
  38. (IE A B9 - BF
  39. Gravitati proportio.
  40. nale, Acque D F ipA
  41. DB perpendicularis dc aequalis, et per rerticem F describatur FIY-
  42. perbola FTV F. cujus semidiametri conjugatae sint D B et D L3
  43. quaeque (Ccet D A in F, de DP, D Q in T X V; _ crit tempus
  44. ascensus fucuri ue FIyperbolae sector IDF.
  45. Nlam
  46. 1.
  47. DAq e relttencia
  48. F
  49. ortionalis, CA uE D P quad

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 248. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0282?run=74