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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 162

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. 162
  2. DFTLOSODMTA NALOKHLES
  3. Dx MOrVOuS actio ipsius T minuetur undiques decretcclsue Lattoe PI
  4. E ORPORVH
  5. quam duplicata dictantix.
  6. Corol. 8. Cum autem pendeat Apsidum PIOSTCNUS RLLGLNuS
  7. 2 decremento vis centriperx facto in majori vel minori quam du-
  8. plicaca ratione distaneix T P, in transitu corporis ab Apside ima
  9. ad Apsidem summam; uc ex a simili incremeneo in reditu ad AD-
  10. sidem imam; aeque adeo maximus sic ubi proporeio vis in Apside
  11. cumma ad rim in Apside ima maxime recedit a duplicata ratione
  12. distantiarum inversa: manifestum est quod Apsides in Syxyoiis
  13. suis, per vim ablaticiam XL. CCu NM = L M, progredientur ve-
  14. locius, inque Omadraturis luis cardius recedent per rim addiciciam
  15. L.M. Ob diuturnicatem vero temporis quo relocitas progresus vel
  16. tarditas regreNTUS ContinUatT, fc haec inequalicas lonse maxima.
  17. Corol. 9. Si corpus aliquod ri reciproce proportionali quadrato
  18. distantiae suae a centro, rerolveretur circa hoc centrum in VI
  19. lipsi, de mox, in descensu ab apside summa Ceu Augc ad Apsidem
  20. imam, viS illa PeT aCCCAUI DETPETUUM VIS NOVA AUSCTETUT In YA
  21. tione plusquam dupli-
  22. cata dictantiae diminu-
  23. ex: manifectum CAt
  24. quod COrpuS, PerDC-
  25. cuo accesu ris illius a
  26. novae impulsum sem-
  27. per in centrum, masis
  28. vergeret in hoc cen-
  29. erum, quam A urge-
  30. retur ri Cola crelcente
  31. 01000o
  32. in duplicata ratione distantia diminutxe, adeoque Orbem descri-
  33. beret Orbe Flliprico interiorem, ec in Apside ima propius acce.
  34. deret ad centrum quam prius. Orbis isitur, accestu hujus vis no-
  35. vae, het magis excentricus. Si jam vis, in recetsu corporis ab
  36. ApSide ima ad Aplidem summom, decresceret iisdem gradibus qui-
  37. bus ante creverat, rediret corpus ad distantiam priorem, adeoque
  38. Si vis decrescat in majori ratione, corpus jam minus attractum a(-
  39. cendet ad distantiam majorem s sic Orbis Rxcentricitas adhuc ma-
  40. sis augebitur. Isieur s ratio incrementi ec decrementi vis centri-
  41. Petx linsulis rerolucionibus auseatur, augebitur semper fxcentri-
  42. citas; ex c contra, diminuetur eadem si ratio illa decrescat. Jam
  43. vero in Systemate corporum P, F, S ubi Apsides Orbis P AB
  44. sunc in Ouadraturis, ratio illa incremenei ac decrementi minima eAt,

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 162. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0196?run=74