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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 218

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: 0.93.

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The machine reads it as

  1. 218
  2. PHILLOSODMTSE NATORALIS
  3. DE Moro datur latus rectum ParabOlX, uE
  4. Convonon notum eAt. EC sumendo 2D F
  5. ad lacus illud rectum, ut est vis
  6. graricaris ad vim relistentiae,
  7. datur D F. Dein Cecando DC
  8. in A, UE AIE C P X AC ad
  9. D P X D A in eadem illa rati-
  10. one graritatis ad resiltentiam,
  11. dabitur punctum A. Ec inde
  12. dacur C urra DraF.
  13. CorOl. 5. EE CONETA, ( daFUF
  14. CUrVa Dr aF, daBIEUE XC Ve-
  15. locitas corporis ex resistentia
  16. Medii in locis fingulisr. Nam
  17. ex data rationc C P X AC ad
  18. D P X D A, daturtum relicten-
  19. cia Medii sub initio motus, tum
  20. latus rectum Parabolae: et inde
  21. datur etiam velocitas sub initio
  22. motus. Deinde ex longitudine
  23. eansentis rL, datur ex huic
  24. proportionalis velocitas, ec ve-
  25. locicati proportionalis relcter
  26. tia in loco quoris r.
  27. Corol. 6. Cum autem longitu-
  28. d0 2D F Sc ad latus rectum
  29. Parabolae uc graritas ad resictentiam in D; ec ex aucta velocitate
  30. augeacur resistentia in eadem ratione, at latus rectum Parabolae au-
  31. geatur in racione illa duplicata: patet longicudinem 2D F augeri
  32. in ratione illa simplici, adeoque relocitati semper proporcionalem
  33. ese, neque ex angulo CD P mutato augeri vel minuis nisi mu-
  34. tetur quoque velocitas.
  35. Corol. 7. Onde liquee methodus decerminandi Curvam D ra F
  36. ex Ptixnomenis quamproxime, et inde colligendi resistentiam de
  37. relociratem quacum corpus projicitur. Projiciantur corpora duo
  38. similia ec aequalia eadem cum velocirate, de loco D, secundum
  39. angulos dirersos (. D P, cDp (minuscularum licerarum locis sub-
  40. intellectis) ex cognoleantur loca f, f, ubi incidune in horixontale
  41. planum DC. Tum, assumpea quacunque lonsitudine pro D F
  42. vel D p, fingatur quod relistentia in D sit ad gravitatem in ra-
  43. tionc

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 218. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0252?run=74