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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 301, page id 1040780814:0319
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ali
relli
Lib. IV. et CYEOME TRTCA LLCMCN LA.
aequalis est, sire lonsius à ratione aequalitatis distat, quam ratio
inter alias binas qualris in hac Orbita: Prosreltus erso Aplidum in
hoc catu maximus eA. Satellite vero adc pervento, Vis extranca ut
AM, addita Vi qud r trahit Satellitem, non tantum indueit receltum
à ratione duplicata distantiarum inverta in transitu à c ad D; quo-
niam distantia TC, FD aequantur: Ouare hujus Vis addititia et
fectus minor est; hoc est, Orbis Apsides minus in hoc casu regre.
diuntur. Ouoniam ergo Apsidibus in Syrroiis rersantibus, illa re-
locistime prosrediuntur cum Satelles Syzy sias transit, tardissimeque
resrediuntur cum Satelles
in Solis Ouadrato clt; Patet,
in integra Satellitis revolu.
tione circa Primarium, APS-
des in hoc casu relocissime
in conlequentia Ferri.
Sint nunc Apsdes Orbis
Satellitis in Ouadrato Solis:
In quo casu Vis CxtrANCA AM
jam (xpius descripta, quae
Satellicem in Ouadratura c
versantem urget, addita Vi
primaria qua r crahit Satel.
litem, conticit Vim ex vrra-
que compolitam, qua Satel-
les ad c litus tendit versus
; cujus ratio ad Vim similiter compolitam, qua Satelles ad D Per.
ventus vertus idem r ursetur, masis recedit à duplicata ratione
distantiarum inversa, quam si Aplides non essent in Ouadraturis:
quoniam ratio inter re, rD masis inaqualis est quam ratio inter
alias binas quastibet hujus Orbitx: resrestus ergo Apsidum in hoc
casu maximus cAt. Satellite rero ad a vel B perrento, Vis extranca
MN Satellitem nunc ursens, ablata a Vi qua r trahit Satellitem
tam magnum non inducit receltum à ratione duplicata distantia-
rum inversa, dum Planeta transit d c ad B, aut vicissim; quoniam
dictantia TC, TB aequantur: unde Vis hujus ablatitia effectus in
ApEdibus promorendis minor cA; hoc cAt, Orbis Apsides tardius
Promoventur. Ideoque ex utraque hac causa, in hoc Orbis situ re.
spectu Solis, dum Satelles integram revolutionem circa Prima-
rium Cuum perticie, Orbis Apsides regrediuntur.
POTrO, Si is SE motus Aplidum Satellitis circa Y, ilque motus
Primarii r circa Solem s, ut Apsides Orbis Satellitis in eodem tere
snt aspectu ad Solem per tempus fatis notabile, sire dum ipse Sa-
telles aspectus omnes ad Solem lapius mutat; ob diuturnitatem tem-
Poris quo relocitas progrestus de tarditas regrectus aptidum conti-
nuantur, dum nempe Apsides prope Syrrsias Solis haerent, Patis
nocabiliter progredientur: Et sumiliter ob diuturnitatem temporis
quo Satellitis Apsides prope Solis Ouadratum harent, ee consequen.
1C.
3OF