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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 274

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: 0.91.

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The machine reads it as

  1. 274
  2. PHIILOSOPHIS NALORMLI
  3. DF Morotur eadem per datam arcus Creloidis partent co, a lumatur ar-
  4. CorxonOM CuS Od in ratione ad arcum CD quam habet arcus B ad arcum
  5. CB: X vis qua corpus in d urgetur in Medio resistente, cum sIF CZ
  6. cetus vis C d Tupra rCLSTeNEIAM CO, exPOnetUr per areum Od, ad-
  7. eoque erit ad vim qua corpus D urgetur in Medio non resistente,
  8. in loco D, UE arcuS O d ad arcum CD; et proprerea criam in l0-
  9. eo B ut arcus OB ad arcum C B. Proinde si corpora duo, D, d
  10. excane de loco B, ex his viribus urgeantur: cum vires sub initio
  11. SInE uE arCUS CB _ OB, crunt velocitates primae ec arcus primo
  12. delcripti in eadem ratione. Sunto areus illi B D ee B d, _ arCUS
  13. reliqui CD, Od crunc in eadem ratione. Proinde vires, ip(Is
  14. CD, Oa proportionales, manebune in eadem ratione ac sub initios
  15. ec propierea corpora pergent arcus in eadem ratione simul delcri-
  16. berc. Igitur vires e
  17. velocitates et arcus re-
  18. liqui C D, Od Temper
  19. erunt ut arcustoci l. B,
  20. OB, de propterca ar-
  21. cus illi reliqui simul
  22. delcribeneur. Ouare
  23. corpora duo D, d I
  24. mul perrenient ad loca
  25. C de O. alcerum qui-
  26. dem in Medio nOn re-
  27. Sistente ad locum C, et
  28. alterum in Medio resistenre ad locum O. Cum autem velocitates in
  29. C _E O SInE UE arcuS CB, OB; erunt arcus quos corpora ulterius
  30. pergendo simul describune, in eadem ratione. Sunto illi CF. et
  31. Oe. Vis qua corpus D in Medio non relistente recardatur in F.
  32. eA uE C F, ec vis qua corpus d in Medio resistente retardarur in e
  33. eAt uc summa ris C’e ex resistentix CO, id est ut Oe; ideoque vi-
  34. Tes, quibus corpora recardantur, Cunt uc arcubus C L, Oe propor-
  35. tionales arcus CB, OB; proindeque relocitates, in data illa racio-
  36. ne recardaca, manent in eadem illa data ratione. Velocitates ioitur
  37. e arcus iisdem descripei semper sunt ad invicem in data illa racio-
  38. ne arcuum CB ec OB; ec Propcerea si Cumantur arcus tori AB,
  39. aB in eadem ratione, corpora D, a Simul describene hos arcus, de
  40. in locis A ex a morum omnem simul amittene. Jlochronx lunt
  41. igitur oscillaciones torx, _ arcubus totis B A, Ba proxortionales
  42. Tunt arcuum parres quaelibet BD, Bd vel BF, Be quae simul de-
  43. SCribUunEur. D. L. D.
  44. orot.
  45. .

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 274. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0308?run=74