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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 240

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.

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The machine reads it as

  1. PHILOSOPHLAE NATVRALIS
  2. Scholium.
  3. SX AC
  4. Fadem ratione qua prodiie densiras Medii uE B L = in C0.
  5. rollario primo, si relictentia ponatur ut relocitatis V dignitas quae-
  6. libet V prodibit densicas Medii ut
  7. R
  8. =X AC
  9. EF Propterea (i Curra inveniri potest ca lege ut data fuerit ratio
  10. R
  11. n ac
  12. t
  13. AL.
  14. vel 7 + = n 20 Y + OQI: COrpUS move.
  15. bicur in hac Curra in unitormi Medio cum resistentia qua sIE uE
  16. relocicaris dignitas V. Sed redeamus ad Curras simpliciores.
  17. Ouoniam mocus non tit in P’arabola nisi in Medio non resisten-
  18. te, in Fyperbolis rero hic delcripeis tic per relistentiam perpetuam;
  19. perspicuum est quod Linca, quam projectile in Medio uniformiter
  20. resiltence describits propius accedit ad IIyperbolas halce quam ad
  21. Parabolam. Fs utique linca illa EIyperbolici generis, lcd quae
  22. circa verricem magis dictat ab Asympeotis; in parcibus a vertice
  23. remotioribus provius ad iplas accedit quam pro ratione IIyper-
  24. bolarum quas hic descripsi. Tanca vero non est inter has ec illam
  25. difterentia, quin illius loco possine hae in rebus practicis non in-
  26. commode acthiberi. Fc uciliores Forlan Fucurx sunt hx, quam
  27. EIyperbola magis accurata et simul magis compolita. Ip (X vero
  28. in usum SC deduCenEUr.
  29. Compleatur parallelogrammum XTOT, ec recta C. P tanget
  30. Eyperbolam in G, ideoque densitas Medii in Cr es reciproce ut
  31. tangens CT, ee relocitas ibidem ut V
  32. vim gravicatis uc CZ ad 2nn + 2B CV.
  33. n + 2
  34. relistentia autem 2d
  35. Proinde s corpus de loco A secundum rectam AFY projectum
  36. describat Hyperbolam ACK, ec AFI producta Occurrat ACymp-
  37. EOtO N X in FI, actaque AY eidem parallela occurrat alteri Asymp-
  38. toco M X in P: erit Medii denscas in A reciproce ut ATI, et cor-
  39. Poris velocitas ut y , dc relictencia ibidem ad Gravitatem ut
  40. AIId
  41. nn + 2n
  42. in AL. Onde prodeunt sequentes ReguIX.
  43. Rec. 1.
  44. 2AC
  45. DE MOTD
  46. LORPORVII

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 240. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0274?run=74