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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 162, page id 1041163592:0196
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162
DFTLOSODMTA NALOKHLES
Dx MOrVOuS actio ipsius T minuetur undiques decretcclsue  Lattoe PI
E ORPORVH
quam duplicata dictantix.
Corol. 8. Cum autem pendeat Apsidum PIOSTCNUS RLLGLNuS
2 decremento vis centriperx facto in majori vel minori quam du-
plicaca ratione distaneix T P, in transitu corporis ab Apside ima
ad Apsidem summam; uc ex a simili incremeneo in reditu ad AD-
sidem imam; aeque adeo maximus sic ubi proporeio vis in Apside
cumma ad rim in Apside ima maxime recedit a duplicata ratione
distantiarum inversa: manifestum est quod Apsides in Syxyoiis
suis, per vim ablaticiam XL. CCu NM = L M, progredientur ve-
locius, inque Omadraturis luis cardius recedent per rim addiciciam
L.M. Ob diuturnicatem vero temporis quo relocitas progresus vel
tarditas regreNTUS ContinUatT, fc haec inequalicas lonse maxima.
Corol. 9. Si corpus aliquod ri reciproce proportionali quadrato
distantiae suae a centro, rerolveretur circa hoc centrum in VI
lipsi, de mox, in descensu ab apside summa Ceu Augc ad Apsidem
imam, viS illa PeT aCCCAUI DETPETUUM VIS NOVA AUSCTETUT In YA
tione plusquam dupli-
cata dictantiae diminu-
ex: manifectum CAt
quod COrpuS, PerDC-
cuo accesu ris illius a
novae impulsum sem-
per in centrum, masis
vergeret in hoc cen-
erum, quam A urge-
retur ri Cola crelcente
01000o
in duplicata ratione distantia diminutxe, adeoque Orbem descri-
beret Orbe Flliprico interiorem, ec in Apside ima propius acce.
deret ad centrum quam prius. Orbis isitur, accestu hujus vis no-
vae, het magis excentricus. Si jam vis, in recetsu corporis ab
ApSide ima ad Aplidem summom, decresceret iisdem gradibus qui-
bus ante creverat, rediret corpus ad distantiam priorem, adeoque
Si vis decrescat in majori ratione, corpus jam minus attractum a(-
cendet ad distantiam majorem s sic Orbis Rxcentricitas adhuc ma-
sis augebitur. Isieur s ratio incrementi ec decrementi vis centri-
Petx linsulis rerolucionibus auseatur, augebitur semper fxcentri-
citas; ex c contra, diminuetur eadem si ratio illa decrescat. Jam
vero in Systemate corporum P, F, S ubi Apsides Orbis P AB
sunc in Ouadraturis, ratio illa incremenei ac decrementi minima eAt,