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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 106

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. 206
  2. PETTLOSODHTTHE NATDRALIS
  3. DE MOrD Cas. 2. Si Figura illa R F B FIrperbOla eA, describatur ad Car-
  4. dem diametrum principalem AB IIrperbola rectangula B L D:
  5. ex quoniam arcx CSP, CBfP, SP fB TunC ad arcaS CSD,
  6. CBF D, SD F B, lingulae ad singulas, in daca ratione alticudi-
  7. num CF, CD; ec arca SF fB
  8. proportionalis est tempori quo
  9. COrDUS F morebIEur PEF aECUM
  10. fB; CrIE etiam arCA SDF. B ci
  11. dem cempori proportionalis.
  12. Minuatur lacus rectum IIyper
  13. bola R F B in infinicum ma-
  14. nente latere trantverlo, ex coibit
  15. arcus F B cum recta CB ec um-
  16. bilicus Scum vertice B ee recta
  17. SD cum recta B D. Proinde a
  18. rea BD F B proportionalis crie
  19. tempori quo corpus C recto
  20. descensu describie lineam C B.
  21. d. F. I.
  22. Ca5. 3. FF Simili argUmenEO SI
  23. Fisura RP B Parabola CA, de
  24. eodem vertice principali B de.
  25. scribatur alia Parabola BF D,
  26. ouae semper maneat data interea
  27. dum Parabola prior in CujuS PCrImMCETO COrDUS P MOVCEUF, dimi
  28. nuto ex in nihilum redacto ejus latere recto, conveniat cum linca
  29. CB; Het scomentum Parabolicum B D F B provortionale tempori
  30. quo corpus illud P vel C descendet ad centrum S vel B. 9. F.. L.
  31. PROPOSITIO XXXIII THEOREMA IX.
  32. Positis jam inventis, dico quod corporis cadentis Velocitas in loco quo
  33. vis C est ad velocitatem corporis centro B intervallo BC Circu-
  34. lum describentis, in sub duplicata ratione quam AC, distantia cor-
  35. poris a C irculi vel Fyperbolae rectanculae vertice ulteriore A, habet
  36. ad Ficurae semidiametrum principalem = AB.
  37. BisCCCtuT AB, communis utriusque Figura R F B, D F B dia
  38. meter, in O; ec agatur recta PF quae tangat Liguram RP B in P, acque
  39. etiam
  40. EOEONOH

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 106. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0140?run=74