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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
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Lib. III.
EE CFE OATE YR TCE F PP NIF N Y A.
_ (peF PFOP. XEVT) datur posterior; erso datur ratio ex iis com
Polica, nempe Densitatis Solis ad Densitatem Planeta.
GOROLLARIOM
FTinc, ex aquo, habetur ratio inter Densitates trium e Planetis
primariis, nempe Saturni, Toris e Terrx. Trium reliquorum Den-
litates hinc analosice derirare licebit. Nullum eAt dubium, quin Ca-
pientissimus Mundi Conditor Deus O. M. Planetas in divertis d Solo
distantiis collocarerit, ut quilibet pro sradu Densitatis calore Solis
majore vel minore truatur. Materia enim dentior ad operationes
naturales obcundas majorem calorem requirit. Sed et Magnitudi-
nis Planctarum aliquis proculdubio est respectus, cum similium cor-
Dorum minora, exteris paribus, Fortius intimiusque caletrant; quippe
respectu Cuae molis majorem superticiem habentia, ac proinde plu-
res radios excipientia.
PROPOSTTTO L
Rbitarum Danetariarum Axes majores superius inventas
Prop. XXIV. Capi sunt Orbium Ares majores in ratione sublesqui-
plicata Lemporuiheriodicorum: nempe a MassiS Planetarum ab.
Stractum elt ut decuit ante illarum determinationem, et Planetae pro
punctis habiti  F. Iipsibus circa immotum Solis centrum in umibi-
lico positum eroluri. Ouoniam rero propter Solis e Planeta ACti
Ones mutuas, quibus AL (per PFOP. LVIIT. L ib. T.) ut Planeta FIlipEn
deleribat cujus Locus es commune gravitatis centrum sui et Solis,
similem (per PrOp. LT. L Ib. T.) illi quem circa immotum Solem riri.
bus iidem atcractus describeret; e (per Prop. LIV. L ib. T.) ostensus
eA major Axis FllipseoS, quam Planeta quivis deleribit circa S0-
lem simul circa commune centrum gravitatis revolventem, esse ad
Axem majorem Fllipseos, quam idem Planeta circa Solem qui-
escentem eodem Tempore periodico describere postet, in lubtripli-
cata ratione summae Mactarum Solis e Planeta ad Mastam Solis:
ideo Orbita cujusque Planetae Axis major (per PFOP. XXIV. inven-
tuS) augendus est in dicta ratione subtriplicata Cumma Mactarum
Solis d Planeta ad Mactam Solis, ut cradat correctus. Datur vero
(DET PFOP. XEVHT) ratio inter Mastas Solis e Planetarum; et isi
tur datur ratio, in qua Orbitaru AXCS MajOreS (DOT PFOD. XNIV.
inventi) (unt ansendi, ut cradtant correcti.
PROPOSETTO LF
s mocus Planetarum circa Solem à mutua Actione oriun
corrisere.
dod desmmare.
si s reterat dolem, Abb e De aubiu flatetarum Orbi
ido, Patet, a dIl Propior es in a remociorque in D. (Plane.
tis nimirum de Counctionem Fleliocenericam tendentibus,) per
lluruam Acractionem Soli propiorem aliquantulum accelerari,
remo.